diff --git "a/data/dm_maths/full_data_2/1733_11255.jsonl" "b/data/dm_maths/full_data_2/1733_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1733_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((sqrt(216) + 1*sqrt(216)*4 - sqrt(216)) + (sqrt(216) + 2*sqrt(216) - sqrt(216))*3)\/((sqrt(128) - -2*sqrt(128)) + 2*sqrt(128) + sqrt(8)).\nAnswer: 10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/30 + b**2. Let f(k) = 6*k**2 - 5*k + 5. Let m(r) = 5*r**2 - 4*r + 4. Let t(n) = -4*f(n) + 5*m(n). Give z(t(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -45*m + 59. Is y(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8985)\/(-225) - 40)*2\/2*1.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g**3 - 2*g**2 + g + 50. Let q be w(0). Solve 4*h = 0, 53*b = q*b - 4*h + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdd when four letters picked without replacement from {j: 3, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 + 8193*c\/4 - 16338.\nAnswer: -3*(c - 2723)*(c - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -13599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2\/5)*v*v*v*v)**(20\/9)*(v**1)**(6\/31) assuming v is positive.\nAnswer: v**(3526\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 10*c**4\/17 + 10154*c**3\/17 + 4060*c**2\/17 = 0.\nAnswer: -1015, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 1848570460.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-68)\/(-32) + -2)*-3. Let k = 83\/136 + f. Calculate the common denominator of 807\/105 - 4\/10 and k.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/306 and -103\/1479340?\nAnswer: 13314060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let j(s) = 103529876*s. Calculate j(p(m)).\nAnswer: 103529876*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*h - 2*c + 31, -5*h + 3*c - 2 = 0. Let b = 65 - 74. Sort h, -3, b in decreasing order.\nAnswer: h, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69464278 to the power of 1\/2, to the nearest integer?\nAnswer: 8335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -15 (c) -2 (d) 0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-541888\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 not equal to 1793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -39.4. Let w = r + 33. Let q(f) = f. Let n be q(2). Which is the closest to 0.1? (a) w (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/4 - 8)*(-6)\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:37 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16527 - -57080. Round d to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*-4*sqrt(2057).\nAnswer: 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, 2, -10, 22, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/16757710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -8)*1\/(-2). Solve -q - g = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 7, 4, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - 1) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -13. Suppose 0 = -2*f + 2*a - 4, 2*a = 5*a - 9. What is the third smallest value in l, 4, f, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.169 * 0.5.\nAnswer: -0.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 60.43. Let d = y + -3.57. What is the smallest value in 1\/11, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -69, -120, -185, -270, -381, -524?\n\"Answer: -a**3 + 2*a**2 - 42*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2. Let g(l) = -17*l**2 - l - 11. Let b(x) = -g(x) + 6*h(x). Give b(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:27 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 623261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7*(2002\/(-98))\/(-13)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010110 (base 2) to base 10.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 57. Let z(j) = -57. Let o(k) = 3*d(k) - 2*z(k). Let r be o(10). Solve 3*m + r*w - 4 = 2, -5*m = -w + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 11*n**2 + 8*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 15.5. Let n = 0.5 + 0.5. Let t = n - g. Round t to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**2 + 0 + 5\/24*t**4 - 10*t + 2\/3*t**3. Let q(n) be the first derivative of s(n). Find the first derivative of q(j) wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-918)\/(-72) + (-25)\/(-4) + -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 220026 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 684013, 1368058, 2052105, 2736154?\n\"Answer: v**2 + 684042*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -1\/42*m**4 + 0*m**2 - 1\/3*m**3 + 1\/10*m**5 + 8*m + 1\/105*m**6 - 1. Find u such that g(u) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 - 12*a + 4. Let l be p(5). Calculate the highest common factor of l and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 162942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1)*2 + (0 + sqrt(108) + -5 - sqrt(108))**2.\nAnswer: 12*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12006.\nAnswer: 1\/12006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 26*r + 43 - 23.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 0.2 (c) -0.06 (d) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/418 in 1\/3, 4\/5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 3*b - 2\/3*b**3 - 17 + 3\/2*b**2. Give d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3 - 17. Let f = 8 - m. Suppose -3*v + 4*g + 613 = 0, 11 = f*g + 27. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/660 - 5*t**4\/132 + 4*t**3\/11 - 4817*t**2. Factor i(b).\nAnswer: -(b - 2)*(b + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a - 1. Let j(b) = -21*b - 2. Let n(p) = -42*p - 4. Let l(h) = -9*j(h) + 4*n(h). Determine -5*l(q) - 7*v(q).\nAnswer: -7*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -21, -3, 49, 147, 303, 529?\n\"Answer: 2*n**3 - n**2 - 15*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyxkikxtxieti. What is prob of picking 1 e and 1 k?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -784 + 1844. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001015041021 to six decimal places.\nAnswer: -0.001015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43731.71 millennia in years?\nAnswer: 43731710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5353 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17219834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = -13. Suppose 5*w + r = 24. Suppose -w*y = -7*y + 273. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -25. Sort -2\/3, w, 2.\nAnswer: w, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*b = 4*f + 438*b + 20, -5 = -5*f - b. Suppose -z + 72 = 3*z. What is the lowest common multiple of 18 and (z - (-3 - -1)) + f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/4 + 7*v**3\/6 - 4*v**2. Let r be p(5). Solve 15 = r*w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 329, 662, 995, 1328?\n\"Answer: 333*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -338 (c) -2\/1281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let y = -33.1 + 33. What is the nearest to y in u, -5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t\/(t\/(t*(t\/(t**0*t))\/t)*t*t))\/t)**36\/(t**2*(t*t\/((t**(-2\/21)*t)\/t*t))\/t) assuming t is positive.\nAnswer: t**(-800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/3, -1\/3, 14\/23, 330, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (399\/(-3))\/(-7)*2\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4984)\/(-812) + -6)*(20\/8 + -2)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 24*v**2 - 29*v + 77. Let f be h(11). Solve f = -3*q - y - 4, 4*q + 0 = -5*y + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3161006, -3161012, -3161022, -3161036, -3161054, -3161076?\nAnswer: -3161102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13991 divided by -56.\nAnswer: 13991\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-639*n - 63*n - 377*n)*(n**4 + 2*n**4 + 6*n**4).\nAnswer: -9711*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228 + (-18 - 235) + 38 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/3537 (c) -18\/7 (d) -0.03 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 55, 1, 28, -1, 2 in ascending order.\nAnswer: -1, 0, 1, 2, 28, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose a = -2*k + k + 1. Let b(z) = 14*z**3 + 4*z**2 - z + 1. Let p(r) = 15*r**3 + 6*r**2 - r + 1. Let d(g) = 3*b(g) - 2*p(g). Determine d(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4185165570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26241039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 87, 281, 657, 1275, 2195, 3477, 5181?\nAnswer: 7367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(256)*-1)*3)**2 + ((3 + sqrt(684) + 0)*-4)**2.\nAnswer: 576*sqrt(19) + 709803\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b2 (base 14) in base 6?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11257*h + 551588. Calculate s(-49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, -11, 2\/5, 7, 25, 3\/4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4, 3, -621 in descending order.\nAnswer: 4, 3, -3, -5, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + 16*z**3\/3 - 139*z**2\/2 + 2*z - 30. What are the prime factors of l(-43)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457008 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -119, -254, -433, -650?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/7 - 93632636*j\/7 + 2191767631077124\/7.\nAnswer: (j - 46816318)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(27) + 2*(sqrt(27))**2 + (5*sqrt(12)\/sqrt(4) + sqrt(3) - ((sqrt(75) + (sqrt(75) + -1 - sqrt(75)) + sqrt(75))**2 + sqrt(3))))*-1.\nAnswer: -28*sqrt(3) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -57 = -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224783478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(-86)*(0 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.43 - -5.03. Suppose -138 + 6 = 44*f. Is f bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*m + 2*m + 11, -5*m + 41 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooowuwownn. What is prob of sequence nn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopop. Give prob of sequence oop.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 48, -2\/61, -7?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.191014.\nAnswer: 0.0573042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 190, 2589, 9394, 22807, 45030, 78265, 124714?\n\"Answer: 367*f**3 + f**2 - 173*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-4*f**2 + 963*f + 21 - 963*f).\nAnswer: -12*f**2 + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, 95, 4, 6 in descending order.\nAnswer: 95, 6, 4, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.3, -0.2, 71853, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 2 (c) 4\/7 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -670 - 0?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*k + 2408, 2*k - 7*h = -10*h - 2443. Let j = 430 - k. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*w + 3*u, 6*u + 13 = -7 - 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 44 + 10. What is the remainder when ((-22)\/(-33))\/(u\/855) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23710*s + 3850*s**2 - 23710*s to the form x + a*s**2 + w*s and give a.\nAnswer: 3850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -17. Suppose 0 = 2*x + 6, 22 = 4*z - 3*x - h. Factor -1\/5*c**z + 0 + 0*c**3 + 0*c**2 - 1\/5*c**5 + 0*c.\nAnswer: -c**4*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -23*n - 43. Give k(-11).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73607 is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 54. Suppose 3*a + 3 - 6 = 0. Let j be -1*2\/(-1) + a. What is the highest common factor of p and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - -1) + -2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21244*g. Let u(b) = -6*b. Calculate z(u(s)).\nAnswer: 127464*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -b8?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 1216 - 1320 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -8*z + 453. Let p = z + -41. Solve 0*v**2 + p*v - 2\/3*v**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (37569 + -49 + -3 + 0)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 28 = 2*n, -n = -5*j + 36 - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 22 - 18 = -4*a, -4*m + 20 = a. Solve 2*b + 3*h + 6 = 0, -b - h + a = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s - 161 = -43, -2*s - 629 = -5*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**2\/11 - 1874*s\/11 - 22620\/11.\nAnswer: 2*(s - 145)*(7*s + 78)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4333 + -2899. List the prime factors of w.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2642305*j - 925 + 925.\nAnswer: -2642305*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 536744681 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a4980 (base 11) in base 4?\nAnswer: -2123102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 11*o = -10*o - 8, 10 = -5*s + 5*o. Let l be (-6)\/(-4)*10\/(-3). Let d = l + 8. Solve -s - d = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693575902?\nAnswer: 2, 23, 15077737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -652, -7460 in increasing order.\nAnswer: -7460, -652, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Let r = -453.51 - -455. Let g = r - 1.59. What is the smallest value in g, 1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 573 (b) -6 (c) 2\/27 (d) 1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from htthhqtttqhqhqtheq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 1 - 1)*(-1 + 1 + 7)*(4*r**2 - 2*r**2 + 0*r**2) as v*r**3 + a + u*r + p*r**2 + m*r**4 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10041*u + 10702*u - 19291*u.\nAnswer: 1452*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 21 + 7. Let g be (14\/(-4))\/(1\/r). Suppose -2*a - 14 = -2*u, -u - g = 4*a - 1. Solve 0 = -0*i + u*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*o - 282, 3*c - o = 73 + 141. Suppose -33 = k - 4*k. Let h = k + c. What is the greatest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:17 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 3441.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 0*t**3 + 1860*t**2 - 10450*t**2.\nAnswer: 2*t**3 - 8590*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4087, 10678, 17269, 23860, 30451?\n\"Answer: 6591*n - 2504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1630, -3260, -4890, -6520, -8150, -9780?\nAnswer: -11410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905331 (base 10) in base 15?\nAnswer: 279821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91455057 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d - 2. Suppose -5*p + d*h + 80 = 0, -5*h = p + 7 + 7. Calculate the least common multiple of 5 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 44. Let c be q(13). Suppose 1300 + 1012 = 4*w - 4*m, 0 = w + c*m - 602. Suppose -4*n + 206 = 4*v - 546, -3*n + 3*v = -w. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*((-6)\/63)\/(6\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 41400*c + 41400*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:56 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 9825.\nAnswer: 39300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10. Suppose y = -0*m - 2*m + 6, -2*m = -t - 22. Let h = t + 19. Solve 0 = -h*a - 6, -d + 2*a - 1 = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-18\/11)*o**3*o*o**3*(o**(-1\/9)\/o*o**(1\/3)*o)**(-1\/42) assuming o is positive.\nAnswer: o**(17944\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 9.85?\nAnswer: 29.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r**4 - 27*r**4 + 12*r**4 + (1 + 0 - 3)*(2*r**4 - 4*r**4 - 2*r**2 + r**4) to g*r + s*r**3 + a*r**4 + k*r**2 + z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -964 (base 11) in base 4?\nAnswer: -102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, -6, 13\/3, 18, 0.08 in decreasing order.\nAnswer: 18, 13\/3, 0.08, -0.1, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - 110*q + 38 + 35 + 41.\nAnswer: -110*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(726) - 2*sqrt(726)) + sqrt(726) + sqrt(726))*-3)\/(5*-1*sqrt(98)).\nAnswer: 33*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 548 - 68 = 0. Let r = -5 - g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {e: 2, m: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 1373756130.4?\nAnswer: -1373756134.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/32 + (-46)\/24. Let n = 9.7 - 7.7. What is the third smallest value in -1, 3\/11, i, n?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 - 5*y**2 - 17*y - 9. Let z(b) = -10*b**3 - 14*b**2 - 52*b - 27. Let u(n) = -14*k(n) + 4*z(n). Find i such that u(i) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = w + c - 25, 0 = -2*c + 10. Let j(x) = -x**2 - 2. Let r be j(w). Is 78 - (-3)\/6*r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 7 - 1. Let w = 20\/7 + h. Suppose 2*f = 3*f. Is w at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 52, 84, 120, 160, 204, 252?\n\"Answer: 2*c**2 + 22*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5264153505.\nAnswer: 3, 5, 13, 8998553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 63 = -30*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 4538936*y = 0. What is y?\nAnswer: -1134734, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 11*a**2 - 10*a - 8. Let z = 18646 - 18656. What is j(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7291, -14636, -21981?\nAnswer: -29326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 62. Suppose m*c = 6*c - 4980. Suppose 5*o - 6589 = -4*s, 2*s + 3*o + c = 3*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 674418134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/60)\/(60\/(-790)) and 47\/422.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*l + 46*l + 62*l + 39*l + 22*l + 26*l.\nAnswer: 331*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/102 - (-2)\/6. Let a = 0.4 + -0.9. Let z = a - -0.8. What is the second biggest value in -1\/8, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/(6\/(-81)) + 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 693.3 + -117.3. Let n = -575.99999204 + q. Round n to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.909, -0.19, -7\/17?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 5:46 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2.439, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*k + 18, -k + 3*h + h + 22 = 0. Determine l so that 7*l**3 + 5*l**3 - 4*l**k - l + 3*l**2 = 0.\nAnswer: -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 1. Let n be m(-1). Let q(d) be the second derivative of -d**5\/2 + d**3\/6 + 3*d. List the prime factors of q(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 636 = 112*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(11)*-1 - (sqrt(99)\/(sqrt(9)*-1 - sqrt(9)))**2) + -1*sqrt(99) + (2*1*sqrt(11))**2.\nAnswer: -4*sqrt(11) + 173\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*t + 690 = 162*t. Let w be (-4)\/8 + (-62)\/(-4). Suppose -g + w = 4*g. Calculate the remainder when t is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-240))\/((-11)\/(-2)). Let j be (4 - 3)*0 - -2. Suppose u = -j*k - 2, -5*u + 1 = -2*k + k. Are f and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*l**2 + 120 - 7*l**2 - 17*l**2 + 12*l**2 - 887 wrt l.\nAnswer: -108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(180)\/sqrt(9))\/sqrt(4) + sqrt(20) + 2 + sqrt(20))*-5 + 3)*6)**2.\nAnswer: 12600*sqrt(5) + 114264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 5*v**3\/3 + 2*v**2 + 3*v - 1. Let a be o(-2). Suppose 5*s - a = 2*s. What is the greatest common factor of 25 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) 4 (b) 21 (c) -41\/3 (d) 0.4 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/29)*f**(-4)*f**(3\/11)\/f*f**16 assuming f is positive.\nAnswer: f**(3574\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2\/5 - 66*y\/5 + 24 = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 622 (base 13) to base 7\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 368, 842, 1506?\nAnswer: 2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 28*z + 24.\nAnswer: 4*(z + 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/6 - 3)*(6 + -4). Let i = 17 + -12. Suppose 2*o + f*o = i. Which is smaller: -1\/22 or o?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0406 + -0.4306. Let a = 0.389999673 + q. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -1, 26, 7, -5 in decreasing order.\nAnswer: 26, 7, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.829 + -0.171. Let d = 99\/4 - 26. Put a, -0.4, d in descending order.\nAnswer: -0.4, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 52.8. What is the third smallest value in -4, w, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*g = -69*g - 2. Suppose -k + 5*u - 25 = 4*k, 10 = -k + g*u. Which is smaller: -6\/25 or k?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*s**5 + 4*s**4 + 743*s**2 + 45316 - 45317 + 14*s**4 - s**4 - 26*s**5 wrt s.\nAnswer: -6060*s**2 + 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -110. Let a = 51 - t. What is the smallest value in 2, -3, -2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:53 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011 - -11?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 39?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 3:36 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 168 = -80 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = 33*i + 1744. Let g be 1*(i*-7 - 20\/(-5)). What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/54 - (-176)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2727529 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 435334.5 millilitres?\nAnswer: 435.3345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 8952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0237227 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = c - 3*l + 1, 0 = 5*c + 5*l - 100. Let n = c - 14. Suppose n*k = 2*w - 73, 4*k - 4 = -0*w - w. What is the greatest common divisor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.8 + 161.55789.\nAnswer: 156.75789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -15, 5*g - 2*o - 3*o - 10 = 0. Suppose 2 = -g*t + 132. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:30 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2602548.790166 - 2602524.5. Let z = f + 10.709912. Let s = z - 35. Round s to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/117598 and -121\/823186.\nAnswer: 823186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -4*j**2 + 1\/6*j**3 + 0 - 5\/24*j**4 + 0*j. What is the units digit of c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3933 - -39?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2, -1\/37342, 1, 2\/5 in decreasing order.\nAnswer: 1, 2\/5, -1\/37342, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 9:25 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5864 + -5865. Are v and 9\/380 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348.9999813 - 349. Round o to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - (-2 - -1)) + -144 + 134?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1104 + 1236. What is the remainder when b is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q + 1. Let z(y) = 2*y**3 + 52*y - 3. Calculate m(w) + z(w).\nAnswer: w**3 + 55*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:26 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 2*q**2 + 121*q - 7. Let x(l) = 2*l**3 - 2*l + 3. Calculate -n(s) - 3*x(s).\nAnswer: -4*s**3 - 2*s**2 - 115*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 7*m**2 + 9*m + 7. Suppose 0 = 7*j + 67 + 95 - 106. What is c(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*i - 472 = 0, -a = a - 2*i - 220. What are the prime factors of (a\/9)\/(2\/12)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 13*l**2\/2 - 52. Let o(t) = 4*t + 5. Let n(h) = 3*h + 4. Let u(i) = -5*n(i) + 4*o(i). Calculate u(c(m)).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*p - 3*v, -6*v - 3 = 2*p - 3*v. Suppose -1284 = -t - p*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0*o**3 + 0 - 15*o + 0*o**2 - 1\/4*o**4. Let z(g) be the first derivative of -2*g**3 - 14. Determine i(z(f)).\nAnswer: -108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -10. Let f = -12 + 80\/7. Which is the second smallest value? (a) l (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 29106844?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4996, 5019, 5056, 5107, 5172, 5251?\nAnswer: 5344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2 + f**5 + 3*f**2 - 10*f**2 + 2*f**2 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.195421 micrograms to tonnes.\nAnswer: 0.000000000002195421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 2*l + 3*l + 8, -5*u = -l - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/506 and 103\/460.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21557536 divided by 9422.\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*k - 388*k - 4821 = 92*k + 13507 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 8*q - 3. Let h(f) = 4*f**2 - 42*f + 14. Suppose 0 = 5*w - 2*n - 70, 2*w - 8*n = -3*n + 28. Let u(a) = w*c(a) + 3*h(a). Solve u(g) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) 350.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 754113787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 21 + 32. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1710111 by -43.\nAnswer: -1710111\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 1, -3 in ascending order.\nAnswer: -4, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/2*(-220 + (-7 - -3)) is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*4\/3. Let r = -19 - -19. Let t be 21\/9 - (-4)\/(-12). Solve 3*w + t*w - j*p + 21 = r, -w - 5*p + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 25 = -6*g. What is the third derivative of c**3 - 3*c**3 - g*c**3 + 0*c**3 + 6*c**2 wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/4 (c) -1 (d) -19357 (e) -3\/20 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -3\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 2, -3, -20, -55, -114, -203?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + 3ee4?\nAnswer: 4028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + t - 37, -18 - 37 = 5*t. Suppose -5*l + 11 = -29. Calculate the remainder when v is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd + -7?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*-1)\/(2\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 1, l: 6, w: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 3*x**2 - 8*x + 6*x**2 - 7. Let u(d) = -2*d. Let i be u(3). Determine z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10131 - 1?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - sqrt(11)*-4) + 1.\nAnswer: -4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2. Let n(t) = -14*t + 1. What is n(x(v))?\nAnswer: -126*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (63 - 32)) + (1 - 0) + -11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2 + 10 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -353*b + 27243. Determine u(77).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*f + t - 34, -3*t - 30 = -f. Suppose -13*u = -f*u + 1920. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((1 - 4) + 1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21382550 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0\/1)\/1)\/1. Suppose c = 2*c - 3. Let u(j) = 115*j + 127. Let z be u(-1). Solve -2*r - c*y = r, k = -r - 4*y - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 96 + 57. Solve -4*o - 8 = 3*f, 5*o = f - 46 + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 1304 + 1142 + 2536 + 481 - 177.\nAnswer: 2*y**2 + 5286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 870 = 10*i - 8*i, 0 = 3*i - 4*v - 1304. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 753 + 3?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 107.\nAnswer: 5885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, p: 4}. Give prob of picking 1 q and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 13*o + 4. Suppose 0*c + 18 = 2*c. Suppose c*d - 12 = 11*d. List the prime factors of t(d).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -329714188*s**2*w + 37*s*w - 1131358 wrt s?\nAnswer: -659428376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/7 + 17014*r**4\/7 + 32918724*r**3\/7 - 14188494168*r**2\/7 + 13957841808*r\/7 + 84932737920\/7 = 0.\nAnswer: -4434, -2, 3, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 + 78 = -5*b - 2*u, 2*u + 134 = 3*b. What is the remainder when 69 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 842 - 360. Suppose -z = -4*w + 258. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 7*w + 8*w + 298, -h = 4*w + 31. What is the fourth smallest value in 2\/7, h, 0.1, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -287. Let l be 1\/c*172 + 2\/17. Sort l, -9, -5 in decreasing order.\nAnswer: -5, -9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.02 + -0.02. Let o = -10065\/2 - -5035. Which is the third smallest value? (a) u (b) 1 (c) o (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:51 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1025.4 and -0.09.\nAnswer: 92.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - 4. Let m = k - -54. Let n = m - 14.9. What is the closest to -1 in n, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18700000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-605)\/44))\/(((-8)\/30)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*w - 38, -5*g + 23 + 7 = -5*w. Solve -2*r - g = -17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 - 1. Let z(g) = 1141*g - 3*g**2 + g**2 - 571*g - 570*g. Give m(z(b)).\nAnswer: 36*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*30*(-40)\/(-144)*(-380)\/(-100).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.71 + -1.71. Which is the nearest to -2? (a) -2\/3 (b) 1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*k**3 - 6*k**3 + 15 + 3 - 2648*k**2 + 2 + 2649*k**2 to d*k**3 + h + v*k + r*k**2 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amqf when four letters picked without replacement from {f: 1, a: 4, m: 3, q: 10}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + 0*b**3 - 5*b**3 + b**3 - 4*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01238 + -2.01238. Which is the fourth smallest value? (a) 0 (b) 4 (c) 65 (d) m (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 2, z: 1, l: 3, v: 1, f: 4}. What is prob of picking 1 v, 1 z, and 1 f?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -17.4. Let h = -0.2 - g. Let t = h + -1.3999. Round t to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0. Let w = -2.4 - u. Which is the second smallest value? (a) 0.3 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3163792 and 1581896?\nAnswer: 3163792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 + 0.7. Let w = j + -3. Let b = 0.31 + 0.09. Is b > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/7 + 1928244*l**3\/7 + 19282296*l**2\/7 + 53990320*l\/7 + 46277376\/7 = 0 for l.\nAnswer: -964112, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (23 - (6 - (-19 + 18))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 11\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 3. Let x be b(-7). Calculate the remainder when 15\/x*(-6 + 0) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s - 4*s + 4*s + (-10 + 16 - 10)*(20 + 2*s - 20) + 2 - 5 + s + 4.\nAnswer: -13*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 10*t - 10. Suppose 12*w - 121 = -13. Determine a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q)*(-54 + 13 + 10).\nAnswer: 62*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011110000010001 + 101?\nAnswer: 110110011110000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {s: 6, i: 1, p: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/1584 and 61\/182640.\nAnswer: 6027120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34794 by 11598.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/22191004 and -83\/295224.\nAnswer: 133146024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - ((-4*sqrt(126) - sqrt(126)) + sqrt(126)))\/sqrt(9))\/sqrt(7).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 200, -2471 in descending order.\nAnswer: 200, 3, -0.1, -2471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5126094.7 and -0.04.\nAnswer: 205043.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4500\/34603?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 2, l: 1, s: 2, a: 1}. What is prob of sequence js?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*t**3\/11 - 734*t**2\/11 - 896*t\/11 - 24\/11 = 0.\nAnswer: -3, -2, -2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*y**6 + 3*y**2 - 5*y wrt y.\nAnswer: 12120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*n = -6, -4*d - 2*n - 2 = -6. Let y = d + 1. Let h be 0*1\/(-15)*-3*45\/18. Sort 3, h, 4, y in decreasing order.\nAnswer: 4, 3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 n when three letters picked without replacement from {o: 4, n: 3, i: 9, b: 4}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06608013131 to five dps.\nAnswer: -0.06608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*o**5*u**3 + 23*o**5*u + 185*o*u**3 + 13*o - 3 wrt o?\nAnswer: -6020*o**3*u**3 + 460*o**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 358 - 359. Put -5, 1\/72, d in decreasing order.\nAnswer: 1\/72, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -116*t**2 + 192*t - 8. Let p(o) = -77*o**2 + 120*o - 5. Let f(s) = -5*l(s) + 8*p(s). Let w(q) = 296*q**2. Give f(w(a)).\nAnswer: -3154176*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1713260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -0.2, 6, 2 in decreasing order.\nAnswer: 6, 2, -2\/35, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/13*117\/18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 5*b - 21. Let l be p(-4). Find the second derivative of l*n**2 - 42*n + 62*n + 38*n wrt n.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38104 divided by -7389\nAnswer: 38104\/7389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -362321\/20 + 18112. What is the common denominator of (-7)\/308*-8 + 1435\/1848 and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3280*b**3 + 5*b + 42?\nAnswer: 19680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 26*u - 9. Let r(t) be the third derivative of -13*t**4\/24 + 2*t**3\/3 + t**2. Let b(s) = 4*g(s) + 9*r(s). Does 13 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcccmcccccmcmccmcccm. Give prob of sequence xc.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*w - 240, -3*g = -4*w - 178 - 2. Suppose 25*s - 31*s = -g. Solve s*u - 9*u + 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 6:59 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000918028351 rounded to seven dps?\nAnswer: -0.0000918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 231911 - 0?\nAnswer: 231911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1320 = 2*f, -1519 = -3*f - 2*q + 429. What is the remainder when f is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.37032293 - 24.62967664. Let c = 33 + o. What is c rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -201 - -4?\nAnswer: -1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 - 6*r + 9. Let h be j(-7). Let l(s) = -3*s + 3 + 2*s**2 + 0*s + 0*s. Give l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/189 - (-2 + (-96)\/(-14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5422*o - 27002. Calculate k(-5).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353555144 (base 6) to base 5.\nAnswer: -3144000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 548, 2175, 4888, 8687, 13572?\n\"Answer: 543*v**2 - 2*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 547? (a) 0 (b) -0.2 (c) -68\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxjkjqkzjjxqqjqzzjzj. What is prob of sequence jjx?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -0.2, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38925 and 44115?\nAnswer: 661725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*m + 5)*(m + 3*m - 3*m)*(0 + 10 + 0).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/(-88))\/(42\/16). What is the second smallest value in 5, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (1\/1 + -1). Let l = 4 - a. Suppose l = -0*v + v. Is v less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.75 - -16.7499628. What is o rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13969 and 2686857?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -160915?\nAnswer: -96549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74395*c**4 - 2*c - 38620.\nAnswer: -892740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920667 at most as big as 8761997\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123120 divided by -78?\nAnswer: 40040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7*-1*49\/(-42).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/5 - (-22)\/(-55).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1172 + -620186061\nAnswer: -620186061.1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -59. Let k = -42.00000029 - a. Round k to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2*o**3\/3 + 2085. Let t(l) = -827*l. What is n(t(a))?\nAnswer: -1367858*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379354535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4936374um in millimeters?\nAnswer: 0.0004936374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 18 - (17 + 6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8499 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70911 - 40280. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + 6 - (0 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 f, and 1 s when four letters picked without replacement from {s: 1, j: 3, f: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -4.97. Suppose -93*p = -99*p - 426. Let m = 281\/4 + p. Which is the closest to m? (a) 4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/((-88 + -5)\/(-6 - 273\/(-28))).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -106726\/3 and -35575 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -320e?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 5*k**3 + 4*k**3)*(0*k + k - 2*k) - 2585*k**4 - 4636*k + 4636*k.\nAnswer: -2586*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 467*k**2 - 24*k. Let r(w) = 465*w**2 - 30*w. Determine -5*h(o) + 4*r(o).\nAnswer: -475*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1608 rounded to 1 dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -140, -214, -292?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*s = -164, 6*b - b - 4*s = -208. Let o = b + 42. Let i be (-2479996)\/o - 2*(-3 - -4). Round i to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-6)*(6\/48 - 2349\/1800) and -26\/3525?\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 3*g - 6*g - 3*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 2*l**5\/15 + 15*l**2. Let n(p) = -2*p**2. Calculate y(n(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4205*f**3\/6 - 1704910*f**2\/3 - 345626410*f\/3.\nAnswer: -5*f*(29*f + 11758)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61738051.\nAnswer: 61738051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-7)\/(952\/(-696))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 5*t - 17. Let b(g) = 2*g**2 - 4*g - 18. Calculate -3*b(o) + 2*c(o).\nAnswer: -2*o**2 + 2*o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 815499321 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + 2*p + 112 = 0, -3*d + 2*p + 82 = 0. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -170\/7*w + 0 + 2\/7*w**4 - 338\/7*w**2 - 166\/7*w**3 = 0.\nAnswer: -1, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 26 = -5*g, g + 23 = 2*w + 6*g. Let q(c) = -2*c**3 - c. Let u be q(w). Let d be (11\/(-11))\/((-1)\/5). Solve u = 4*l - r, 3*l - 5*r + d = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 20)*(2 - 7 + 3)*(6 + 13 - 8)*(5*l**3 + l**3 + 0*l**3) - 4*l**3 + 2*l**3 + l**3.\nAnswer: -2245*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 853, 842, 809, 742, 629?\n\"Answer: -2*g**3 + g**2 + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -105a + 5?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 605*x + 27179. Give n(-45).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x**(-1\/2)*x**(-23)*(x**(2\/25)*x*x)\/(x**(1\/26)*x) assuming x is positive.\nAnswer: x**(-6324\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, 0 in descending order.\nAnswer: 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -7 + (-1 - -11) + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5038 - 2850. Find the common denominator of 45\/8 and (-2)\/(-9) + r\/(-288).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -43. Suppose 8*u + 6 = 6. Calculate the lowest common multiple of i and 2 - (-28 + u + -3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-3 + -9 + 16 - 8) + 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9080858 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - 129\/(-27). Let z(u) = 12*u - 5. Let i be z(5). What is the highest common factor of w and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007821 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, -17, -1 in decreasing order.\nAnswer: 5, 2, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 32 - 95 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Suppose o = 5*v - 35. Suppose 4*h = v + 24. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4 and -105.\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2)*(0 - -2). Suppose 4*z - 6 = l. Suppose -4*k - b = -48, -z*k - b = -0*k - 26. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-28*d - 25*d + 56*d)*(7*d - 6*d + 10*d).\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204 + 293. Let v = h + 356. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/7))**50*(l\/(l\/(l*(l*l*l\/(l**(-20)*l))\/l*l*l)))**(-4\/27) assuming l is positive.\nAnswer: l**(3826\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -0.3 (c) 6000\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 7. Let z(o) = -o - 4. Give 3*r(k) - 7*z(k).\nAnswer: k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25955129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1011011110011111110?\nAnswer: 1011011110011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343\/272505 or 0?\nAnswer: -343\/272505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*r + 2, -p - 3*r + 11 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 - 11856*f - 696960 = 0?\nAnswer: -2904, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 10494.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 6*v - 6. Give d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1023730242*z**2 - 10*z + 8027891 wrt z?\nAnswer: -2047460484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 + 0.05. Let f = -69.5 - -70. What is the third biggest value in l, 1, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 30*i**2 + 213*i + 180.\nAnswer: -3*(i - 15)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 448 = -22*d, -5*b - 3*d + 135 - 95 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 91.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 - 111. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 242\/10 - (-24)\/(-20). Solve -3*h + 38 = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose 2*w = -q*f + 2, 5*f + 0*w - 6 = w. Put -5, 2, f in increasing order.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36803 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwvwwwwvwww.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**2 - 12*s - 1. Let z(p) = -p - 162*p**2 + 163*p**2 + 2 - 3. Let w(t) = -x(t) + z(t). What is the second derivative of w(u) wrt u?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - h + 6. Let a be y(0). Let p be 2*(a\/4 + 0). Suppose 3*c = 2*c. Solve p*n = c, -2*w + 3*w = -5*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (5*(sqrt(13) + 2) - (0 + sqrt(13))*5))**2*-2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -220, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 674*r**2 - 654*r**2 - 7*r - 20*r**4 + 29*r**4 as c*r**4 + a*r**2 + m + k*r + t*r**3 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25*((-80)\/25 - -4). Suppose -50 = -5*u - f. Solve u*m = 3*m + c - 11, -m - 9 = 5*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-9)\/(-3)*-2. What is the common denominator of -69\/10 and 85\/a + (-5)\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011210 + 10121010?\nAnswer: 2102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = a - 3*z - 25, 2*a = 2*z + 10. Suppose 32*f - 5*m + a = 29*f, -2*f = 4*m + 14. Let p(g) = 2*g**2 + 10*g + 5. Calculate p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552230?\nAnswer: 2, 5, 31, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 4*a = -k - 28, -2*k + 18 = 5*a. Solve k*z + 25 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.0003799 + -30.00037906. Let m = -20 - t. Round m to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08338 - -31046?\nAnswer: 31045.91662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -30\/13*w**3 + 24\/13*w**2 + 0 + 2\/13*w**4 + 56\/13*w = 0.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(880) - sqrt(880)*4) + sqrt(880))*2)\/(sqrt(720)*2*-2).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032985 divided by 206597.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, -3, -1 in increasing order.\nAnswer: -3, -1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 513572789\/3 > 171190931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 4690553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.42504 times -1\nAnswer: 0.42504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 32 - 74. Solve -5*p - 6 + r = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32143.63 rounded to the nearest one hundred?\nAnswer: -32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -72\/19 (b) -1\/3 (c) 0.2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from nnuuhuohu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9164374456 + 0.0675233356. Let a = 44.84891831 + v. Let d = -40 + a. What is d rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 1558\/7, 1 in descending order.\nAnswer: 1558\/7, 1, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -156, -4*v + 43*q = 39*q + 229 - 37 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24517 + -24138. Put -4, c, 6 in decreasing order.\nAnswer: c, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26310*x**3 + 44961 wrt x.\nAnswer: 78930*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -6*w - 10, -4*w - 24265 = -2*f - 24269 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 0*z - 5*z - 2 - 2*z + 2 + (-z - 3 + 3)*(5 - 2 - 1) - 2*z - 1 + 1 - z + 2*z - 5*z + 1276*z - 2364*z + 1639*z.\nAnswer: 539*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79614299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (261 + -282)*10\/15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**2 + 27*r + 7. Let w be l(-11). Factor p**4 + 182*p**5 - 177*p**5 - 10*p**2 + 9*p**4 - w*p.\nAnswer: 5*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 453864 + 5?\nAnswer: 453870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(-5)\/s)\/s)*s)\/s**(-10))\/(s\/(s*s\/(s*(s*s*s**(-5\/6))\/s)*s)*s**(-2\/11)))**(-44) assuming s is positive.\nAnswer: s**(-2642\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 7\/2 (c) -219 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178185563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 41 + 11 = 4*b, 3*b - 4*h = h + 55 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 14*v**2 + 6*v**3 + 49 - 18 in the form h + m*v**2 + y*v**3 + s*v and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u. Let r(m) = 27*m**2 + 4*m - 21. Let l(z) = -4*p(z) + r(z). What is the first derivative of l(k) wrt k?\nAnswer: 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -13. Let g = 26 + i. Let o(r) = -137*r**3 + 11645*r**2 + 3*r - 252. Let p be o(85). Solve p*t = 6*t + g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from {y: 7, e: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 28*o + 32. Give f(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d + 150 + 18 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*t + 2226, -2*p + t + t + 1474 = 0. What is the tens digit of (0 - 3)\/((-3)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let b(u) = -u**3 - 6*u**2 + 2. Let c be b(-6). Let w be o(c). Find h, given that w + 0 - 2*h + h**2 + 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 54*t**2 + 229*t + 1439. Give c(-50).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6840315 and 278829.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9434*x**3 - 9429*x**3 + 2*x + 18862*x**3 - 2*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.701749778 to four decimal places.\nAnswer: 7.7017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w + 1. Let r(d) = 2*d - 9*d + 6*d. Let j(z) = f(z) - 4*r(z). Let o(q) = -1 + 3 + 0 - 3*q. What is 5*j(n) - 3*o(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 9*o**2 + 2*o - 7. Let k(n) = n**3 + 7*n**2 + n - 7. Let u(q) = 6*k(q) - 5*z(q). What is u(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46\/3 + 331\/21. Let i be (805\/(-56))\/23*1\/(-5). Which is the second smallest value? (a) 3\/5 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99216797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1416712, 2833386, 4250056, 5666722?\n\"Answer: -2*b**2 + 1416680*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -327*r**2 + 12. Let c(w) = -9482*w**2 + 352. Calculate -3*c(b) + 88*p(b).\nAnswer: -330*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 38 + 8 = 0. Suppose -m + c - 7 = -0*c, -t*m = 5*c + 5. Let w be (4\/10)\/((-2)\/(-10)). Put -3, m, w in descending order.\nAnswer: w, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6567 - -6567.00005486. What is x rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*48\/(-40). Sort 0.1, r, 5\/4 in decreasing order.\nAnswer: r, 5\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 14313\nAnswer: -14313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*t - 7*t. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 808, 892, 978?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 651962.2t in kilograms?\nAnswer: 651962200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -3393, 2 in decreasing order.\nAnswer: 2, -2\/13, -3393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 164*i**4 + 64*i**2 - 770. What is the second derivative of j(x) wrt x?\nAnswer: 3936*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 27. Let m(u) = -u**3 + 3*u**2 + 7*u - 5. Give m(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*2)**2*2 + sqrt(153) + (sqrt(153) + (1*sqrt(153))**2)*-1)*1 - (-5*sqrt(153) + 1 - (2 + sqrt(153)*-4)).\nAnswer: 3*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3 + 7*m**2 - 4174*m - 163088 with respect to m.\nAnswer: 6*m**2 + 14*m - 4174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 868\/49. Suppose -g = -2*g. Suppose g = 3*u - 2*p - i, 3*u + 5*p = -0*p - 3. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061578 rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 2*w - 13*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Let f = -0.1788 + 5.1788. Which is the biggest value? (a) 1 (b) s (c) -0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121 in -3, 1\/3, -88, -0.12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3455765*k**4 - 1468742*k - 1.\nAnswer: 41469180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0865514 to three dps.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -4, -52, 12\/137?\nAnswer: 12\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = 31600000. Suppose 0*l + 4*l + z = 0. Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 1, q: 1, d: 10}. What is prob of picking 1 y, 1 q, and 1 f?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -337*r**3 - r - 1. Is o(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116856590 - 50379.\nAnswer: -116906969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3032 - -3031. Let m be 2*14*14\/(-8). Let x = 295\/6 + m. Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 8*n + 9*n + 8, 3*j - 4*n + 4 = 0. What is the smallest value in -5, j, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55732853, 111465705, 167198557, 222931409, 278664261?\nAnswer: 334397113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*i, -4*i = 5*k - 0*i. Let s(u) be the second derivative of k*u**4 + 3\/140*u**5 - 2\/21*u**3 + 0*u**2 + 1\/210*u**6 - 3*u + 0. Factor s(f).\nAnswer: f*(f - 1)*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -163*h**2 - 38*h - 169. Let g be y(-17). What is g rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -983*s = 20769 - 102358 for s.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 95*p**2 - 48*p**2 - 50*p**2 + 11*p**3 - 4 + (2 + 4 - 4)*(2 - 2 + 2*p**3) + 2*p**2 - 2*p**2 + 2*p**3 - 5*p + p**3 + 5*p.\nAnswer: 18*p**3 - 3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0812638 rounded to four dps?\nAnswer: 0.0813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -48*h**2 + 9*h + 10. What is w(-1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 - (-10 + 7) - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - i - 16, 71*y + 8 = 76*y + 3*i. Let w = 13 - -18. Calculate the remainder when w is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 184, 367, 560, 769, 1000, 1259, 1552, 1885?\n\"Answer: x**3 - x**2 + 179*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 496117?\nAnswer: 496119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 475 + -764. Let p = g + 280. Let i = -5 + 2. Which is the third biggest value? (a) 1\/3 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/266972 and 47\/1426.\nAnswer: 6140356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/191, 5, 21 in decreasing order.\nAnswer: 21, 5, -8\/191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -0.458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9 - z + 9. Let u(c) be the first derivative of 5*c**2 + 64. Calculate u(l(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n - 735 = a, 98*a - 97*a - 62 = 5*n - 21 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27841300 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - 3*c**2 - 3 + 2. Suppose -9*q + 2*q = -14. Is 5 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44096 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065389751 rounded to 5 decimal places?\nAnswer: 0.06539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7242 + -7241.94661. What is k rounded to 3 dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60 + (1 - (-20)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u. Suppose u = -4*i + 7 + 13. Suppose -5*r = 25, 0 = -k - 0*k + i*r + 52. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0.6, 1\/8, -1\/6, -114?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 - 13*v + 2. Let z(p) = p**2 - 3*p + 4. Determine -q(f) + 5*z(f).\nAnswer: -3*f**2 - 2*f + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from {u: 2, l: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 901*m + 31. Let t(o) = -447*o. Determine t(w(r)).\nAnswer: -402747*r - 13857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2579, -4, 43, 1 in decreasing order.\nAnswer: 2579, 43, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18472 divided by -1364?\nAnswer: -4618\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from {s: 1, z: 2, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 41823400.\nAnswer: 460057400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/60 - v**4\/8 - v**3\/6 + 6*v**2. Calculate the remainder when j(-2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 2*f - 3. Let i be y(-2). Solve -v + i = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27300059961 - 13240\nAnswer: -27300073201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-196)*(1\/(-4))\/((-7)\/147)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 15, -2, 4 in descending order.\nAnswer: 15, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/5 in 223, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88662468 rounded to the nearest ten thousand?\nAnswer: 88660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 2, 8, 28 in ascending order.\nAnswer: 2, 8, 28, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/260 + 920\/(-50)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 15}. What is prob of picking 3 s?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 511*d + 24516. What is b(-48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/2*((-93)\/(-9) - 11). Let g = 13 + -8. Solve 0 = g*r + a - 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 108 + 53 + 48 - q**3 - 6*q**2. Let g be v(-6). Let z = -27 - -40. Solve g*j - z = 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (105\/(-20))\/(-7) - (-3)\/(-4). Let p(k) be the first derivative of i*k**2 + 1\/3*k**6 + 2 - 4\/5*k**5 + 0*k**3 + 1\/2*k**4 + 0*k. What is g in p(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (2 - 16 - 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((536\/8442)\/(3*(-4)\/(-54)))\/(-3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10, -c + 3*l - 60 = -6*c. Let f be -14 + c\/3 + (-2 - -3). Let v be (f\/(-6) + 0)*3. Solve v*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 33. Calculate the remainder when 8 is divided by u(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6400 + -113?\nAnswer: 6254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 113. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598965, -1197923, -1796881, -2395839?\nAnswer: -2994797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314 and 7222.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**3*x - 3*t**3 - 325863*t**2*x - 2*t*x + 315857*t wrt x.\nAnswer: 2*t**3 - 325863*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.06 - 0.06. Let o = c + -3. Let j = -0.1 - 0. What is the biggest value in o, j, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)*j)**(-14)\/((j*j**(-2\/21))\/(j\/(j*j**(2\/5)))))**(-2\/25) assuming j is positive.\nAnswer: j**(878\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 15 = -3*k, -x - 2*x - k - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, -6, 0.4, 1, -3\/8, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 188. Let m be s(19). Let b = m - -231. Let x(i) = i**2 - 7*i + 2. Calculate x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -302027659 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*k + 58, 63*k = 60*k + 21. What is the closest to 0 in 3, m, -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -599.8 + 600. Let b = 5\/42 + -29\/42. Sort b, -5, 3, q in ascending order.\nAnswer: -5, b, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40 (b) 1\/4 (c) 12 (d) 3938\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17*a**2 + 21*a - 50. Give g(8).\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Let q be w\/22 + (-126)\/(-33). Suppose -q = j - 17. What is the greatest common divisor of j and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39*(-402)\/3484)\/((-78)\/(-16)*-1).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 5*d**5 - d**5 + (-1 + 3*d + 1)*(-6*d**4 - d**4 + 2*d**4).\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(36)\/sqrt(4))\/sqrt(3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368141.\nAnswer: 368141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2297 - -1114. Let s = 1183.01303 + a. What is s rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6241 plus -73.5?\nAnswer: -6314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275913685?\nAnswer: 5, 3557, 71741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 - -308. What is the remainder when m is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*t**3 + 227*t**3 + 211*t**3 + 197*t**3.\nAnswer: 37*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let c be j(0). Let y be c + -3 + 6\/1. Suppose -y*q = -8*q + 50. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)\/((s**(-1\/6)*s)\/s))\/((s\/((s*s**(-11)*s)\/s)*s)\/s**3))**(-1\/28) assuming s is positive.\nAnswer: s**(277\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 988804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*y**4 - 221*y**3 + 1206*y - 62559560.\nAnswer: 212*y**3 - 663*y**2 + 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19461 + 10008 = -1368*n - 21044 - 23359 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8762256 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/6*g**3 + 0 - 1\/12*g**4 + 7*g**2 + 4*g. List the prime factors of w(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 493. Let z(h) = 17*h - 1972. Give -9*i(o) - 2*z(o).\nAnswer: 2*o - 493","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 6*b - 9. Let x be (3\/2)\/((-15)\/(-80)). Let f be t(x). Suppose 4*s - 29 = -5*j, -j + 3*s - 7 = f*s. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 22603575.\nAnswer: -22603575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 3*s**2 + 4. Give d(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 93, 341, 791, 1503, 2537, 3953?\nAnswer: 5811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:10 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 70*p**5 + 14*p**3 - 9*p + 151. Let b(q) = 35*q**5 + 6*q**3 - 4*q + 75. Let t(l) = -7*b(l) + 3*z(l). Find the second derivative of t(c) wrt c.\nAnswer: -700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 6, d: 2, g: 10}. Give prob of sequence ggxy.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6 + (1 - 2 + 3)*(-4 + 0 + 5) + 2 + 105 + 68)*(4*a**4 + a**4 - 3*a**4).\nAnswer: 356*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220103 - -332301?\nAnswer: 1102404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -48*o + 108 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.11.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2957356752 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -935\/7. Let s = 0.16 + 0.84. Let v = -0.19 - 0.01. Sort s, r, v in ascending order.\nAnswer: v, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*a - 3*h, -3*a + 2*h = -0*a - 72. Let g = -56 + a. Find the common denominator of (20\/8)\/(-5) + g\/(-64) and -31\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/8*(-120)\/75.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7818\/40171?\nAnswer: 7818\/40171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 174 = -21*b + 24*b, -2*o - 185*b = -180*b + 32 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 100120?\nAnswer: -21112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(5*sqrt(33)\/sqrt(3)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by 86?\nAnswer: 198\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46991 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 7, -3 in decreasing order.\nAnswer: 30, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -102*y**2 - 4*y - 1352. Let f(u) = -2*u. Give k(f(p)).\nAnswer: 408*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:53 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 8*p**5 - 2*p**5 + (2*p**3 - 3*p**3 + 2*p**3)*(-2*p**2 - p + p).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6400\/(-1056))\/(-25)*3\/4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9554 + -8991. Calculate the remainder when r is divided by 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w + 13. Let j be s(-10). Let f = j + 47. Solve -f*m + 3*m**2 + 3*m**2 + m**2 - 2*m**2 = 0 for m.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 16. Let w(o) be the first derivative of -3*o**2\/2 + 2*o - 1. What is the units digit of w(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+501062\nAnswer: 501061.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 398889949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s - 15. Let g be q(-9). Suppose -4*l = -7*l - 4*t - 1499988, g*l - 2*t = -1500006. Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3203851*w**2. Let l(r) = -1325*r**2. Give -14509*l(y) + 6*z(y).\nAnswer: 1319*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n + 198 = 1953. Find l such that -330*l**2 + 723*l**4 - 150 - 395*l + n*l**2 - 708*l**4 - 5*l**3 = 0.\nAnswer: -3, -1, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/135 and -41\/151455.\nAnswer: 1363095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 3. Let b be ((-18)\/(-27))\/(g\/18). Calculate the greatest common divisor of b and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4275, 15897, 35265, 62379, 97239, 139845, 190197?\n\"Answer: 3873*p**2 + 3*p + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*q + 36, -q - 41 = 4*k - 9*k. Suppose -k*m + 2*m = -54. Suppose -3*y - m = 12. Which is greater: -8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/90*408\/11560?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35.83383 times -0.3\nAnswer: -10.750149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**25))\/t)\/t**(-15)*((t**(-7)\/t*t*t)\/t)\/t**(-25))**(4\/23) assuming t is positive.\nAnswer: t**(28\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 582 and 55926.\nAnswer: 56508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92087 or -91902?\nAnswer: -91902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18560 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1288*o**3 - 7*o**2 + 11*o + 6. Suppose 0*p = p - 3. Let j be a(p). What is j rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/5 of a century?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 74312343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*(-60)\/(-40). Let d be (t + -1)\/(18\/(-12)). Suppose 2*u = 5*z - 24, d*z - 4*u - 20 = -z. Solve 1 - 13 = -z*g - 2*v, 4*g + 3*v - 8 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)\/t*t**(-2\/19))\/(t**2\/t)**(5\/3) assuming t is positive.\nAnswer: t**(-215\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + 56 + (-74 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 20 + -11 + -12 - (53 - 3).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xox when three letters picked without replacement from {x: 9, e: 2, m: 3, o: 3, b: 1, a: 1}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80125 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*s - 2*c - c, -4*s + 4*c = -156. Let m = s + 9. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005645 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 6*g + 3. Let c(l) = -5*l**2 + 19*l + 8. Give -3*c(o) + 8*n(o).\nAnswer: -o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**5\/10 + 7*n**2. Let t(r) be the third derivative of r**4\/24 - 4*r**2. Calculate b(t(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 10 = -2*g. Let r(v) = v**3 + 3*v**2 + 3*v + 3. Let x be r(g). Which is greater: -1\/15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 4*t + 44. Let n(k) = k**3 - 5*k**2 + 2*k - 3. Let s(p) = p**2 + 8*p + 5. Let f be s(-8). What is the lowest common multiple of t and n(f)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 0 + 36 + (6 - 19) + -21.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**3\/2 + 29*d**2\/2 - 22*d. Let i be n(-9). Find the third derivative of 12*g**2 - 32*g**i + 18*g**6 - 19*g**6 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxyxx. What is prob of picking 2 x?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.015 - -2.115. Let r = t - 2.094. Let m = r + -0.00621. Round m to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/((-4590)\/40))\/((-7)\/(-378))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:08 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) - -3*sqrt(252)*-2)) + sqrt(252) - (2*sqrt(7)*1 + (sqrt(7) - (sqrt(7) + (sqrt(42)\/sqrt(3))\/sqrt(2)))).\nAnswer: 41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7 = -3. Let k be (c + (2 - 28\/12))*324. Suppose 3*b - k = -4*n, -54 = -n - 0*n + 3*b. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256\/15 - 50\/3. Let u = -0.05 - 0.55. Let r = -4.4 + u. Sort r, t, -0.3 in decreasing order.\nAnswer: t, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 664 and 15 + (-14)\/7 - -3.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 483.2 - 483. What is the closest to 0.1 in t, 1, -1\/6, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*m**2*z - 2*g*m**2 + 24*g*m*z**3 + g*m*z**2 + 17*m**2*z**3 + 93*m + 2*z wrt z.\nAnswer: 144*g*m*z + 2*g*m + 102*m**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + x**2 - 4*x + 2. Is y(-3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-5))\/((-1)\/(-5)). Suppose -5*k + 18 = -2. Suppose -k*a + c + 34 = -c, c = a - 8. What is the greatest common divisor of h and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2798599, 5597199, 8395799, 11194399?\n\"Answer: 2798600*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 315, 1199, 2673, 4737, 7391, 10635?\n\"Answer: 295*k**2 - k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 820674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639 + 666 - 1969 - 13*h + 664.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -409620634 or -409620631?\nAnswer: -409620631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*y + 12 = -y, 4*j - 28 = 5*y. Suppose -19 = -3*m + q, 218*q = 2*m + 221*q + 13. Let k(t) = -j*t - 2*t**2 + 0 - t - m + 4*t**2. What is k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24952 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -50. Suppose -j = l - 6. What is the units digit of 4 + j + -4 + 76 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 11 - 2*m**2 - 5 + 3*m**2 wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 11. Which is the closest to i? (a) -4 (b) -15 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15776 divided by -34.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*n - 256*n = -2*j - 103, -n + 3*j = -39. Solve n = 11*m - 44*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387288928 divided by -2.\nAnswer: 193644464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -406517 and -17?\nAnswer: 6910789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1312 - 1822. What is the third biggest value in p, 1, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = 0. Suppose -2*u - 127 = -115. Let t be 7 - u\/(2 + b). Calculate the highest common divisor of t and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 52.1. Let d = 0.99 - -0.01. Let n = d - 0.6. Which is the nearest to o? (a) -1\/6 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, -2, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 + 7*u - 1. What is q(3)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 28\/80917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 552073810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = -4*i - 129*m + 120*m, 0 = -3*i + 5*m - 170 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 947010 by 3.\nAnswer: 315670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.95 + -0.05. Suppose 3*d = 3*u + 21, -2*u - 4*d + 21 = d. Let z be 53\/(-36) + (u\/(-8) - -1). Is a not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -272 - -271.6. What is the second biggest value in -4, -8\/9, a?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 164, 9, 110, -2, -4 in descending order.\nAnswer: 164, 110, 9, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2 - 1) - 2. Let o be 2\/7 + 36\/21. Suppose -114 = o*s - 128. Sort r, s, -5.\nAnswer: -5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bd + -3?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-332 + 332 - 48*p)*(-4 + 1 - 1)*(2*p**3 + 16*p**2 - 3 - 14*p**2 - 3*p**3).\nAnswer: -192*p**4 + 384*p**3 - 576*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10 + (-21)\/60*459\/(-189).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2. Let q(u) = u**3 - 6*u**2 + u - 4. Let r be q(6). Let s(z) be the second derivative of 1\/6*z**4 - 3*z + 0*z**3 + 0 + 0*z**r. What is s(t(l))?\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-594)\/86427)\/(4\/12)\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2178 (b) -2 (c) 4 (d) -1\/2 (e) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379 + 220. Let s = -158.9 - j. Which is bigger: 107 or s?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.462 - 0.162. Which is the biggest value? (a) 5 (b) -3 (c) -8 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = m, 0*m - 19*m - 41 = 4*a - 16*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 97. Let p be q(-46). Suppose -p*b + a - 6*a + 1960 = 0, -4*a = b - 389. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + p)*(5 - 2 - 1) + (2 - 1 + 2)*(0*p + 0*p + p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 22840*q + 114150.\nAnswer: 2*(q - 11415)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1\/7 (c) 126\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 79?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44*3\/(-4 - -1). Let w be (10\/4)\/((-2)\/l). Suppose 0 = s - 2 - w. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.1, 2, -3 in ascending order.\nAnswer: -3, 0.1, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 8*h**2 + 6*h - 7. Let g be i(-7). Let t(o) = -7*o + 4*o + g*o. Let p(r) = r. Determine t(p(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x + 5*p + 75, 0 = 3*x - 4*p - 109. Let u = -24 + x. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + -884)*1\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27718 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1. Let m = -2.99 - 0.01. Which is the nearest to 3? (a) m (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:12 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56\/16*4*(-4)\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/7 (c) -0.5 (d) 77 (e) 6 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Let f be (-15)\/25*(-5 - p). What are the prime factors of 25 - 0 - (f + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p - 9 + 9)*(-11 - 156 - 72) to the form s + v*p and give v.\nAnswer: 1673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -7*z**3\/3 - 3*z**2\/2 + z - 12. Let d be g(1). What is the units digit of 66 - (-6)\/d*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -392, 16, 0.5 in increasing order.\nAnswer: -392, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f**3 - 11*f**2 - 6*f - 7. Let z be a(-5). Let j = z + -1. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358931671?\nAnswer: 37, 877, 41879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y - 2. Let k be d(0). Let a = -4 - -8. Sort k, 2\/11, a in increasing order.\nAnswer: k, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63756)\/(-4186)*299\/138?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05349? (a) -0.6 (b) 2\/9 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 0 - ((-116 - -9) + 120)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15659 is divided by 181?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5879 is divided by 179?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/10 + -1)\/2. Let f = -21 - -22. Let r = -3\/46 - -125\/506. What is the nearest to f in l, -1\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 114988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7694479, 4\/7.\nAnswer: -7694479, -4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.165 minus -1347?\nAnswer: 1347.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 566.609 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21832)\/(-4)*(-10)\/(-4). Suppose -11*b + 6*b = -j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 10. Suppose -5*z = -59 + j. Let r = -20 - -46. What is the remainder when r is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 93*t\/4 - 297\/2.\nAnswer: (t - 99)*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 51*m**4\/7 - 133965*m**3\/7 + 356766*m**2 - 3927240*m\/7 - 1064064\/7 = 0. What is m?\nAnswer: -4\/17, 2, 17, 2608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33920, -271952, -918150, -2176598, -4251380, -7346580, -11666282, -17414570?\n\"Answer: -34014*w**3 + w**2 + 63*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2 + c**3 + c**2 - 2*c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/19 + 8028*f**2\/19 - 32080*f\/19.\nAnswer: -2*f*(f - 4010)*(f - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5512407 is divided by 1674.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 10922470?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 4) + 2 + (-861 - -870)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371 by 220821.\nAnswer: 371\/220821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 838460030*p - 838460030*p - 5 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(832) + -1)*4 + (-4*(0 + sqrt(832)) + -1)**2.\nAnswer: 96*sqrt(13) + 13311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + -107. Let s be 109\/8 + p\/(-528). What is the greatest common factor of s and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.04 + -1.98. What is the smallest value in -6, -0.4, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45 - 41 - -24*1799?\nAnswer: 2, 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 7*b**2 + 2*b - 7. Let n(i) = 2*i - 39*i**3 + 24*i**3 + 18*i**3 + 327*i**2 - 321*i**2 - 6. Calculate 7*n(g) - 6*x(g).\nAnswer: 3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2749 divided by -466.\nAnswer: -2749\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:45 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1548, 6249, 14068, 25005, 39060?\n\"Answer: 1559*t**2 + 24*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 6. Let h be (8\/10)\/(1 + 22\/(-20)). What is the remainder when 54 is divided by x(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2547.3 + 2547. What is the fourth smallest value in -16, 4, g, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1792.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (8 - 1) - (-1140 - -1151)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4\/8 + 19881*j**3\/8 - 3300435*j**2\/8 - 6660501*j\/8 - 835047\/2 = 0.\nAnswer: -6789, -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**3*p**3 - 7*c**3*p - 5*c**3 + 53*c wrt p?\nAnswer: -24*c**3*p**2 - 7*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(-19)\/(u\/(u*u*u*u**(3\/4))*u*u\/u**(1\/4)))**(-8) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -71816.\nAnswer: 1579952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 21. What is the greatest common divisor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 20. Let v = -8 - q. Solve -v*x = -6 - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 8) to base 5\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1771455 or -1771481?\nAnswer: -1771481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/275?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 14) to base 8\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 9. Let j be o(7). Let s be j*(12\/(-10))\/(-2). Is ((-879)\/9)\/((-1)\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-528)*-20)\/(10\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-17)*(q**5*q)\/q**(-3\/8) assuming q is positive.\nAnswer: q**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -j - 103, 4*q - j = 111 + 283. Put q, 0, 2 in descending order.\nAnswer: q, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*v**2 - 76 with respect to v.\nAnswer: 184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -15*k + 37*k + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 b when four letters picked without replacement from bjjhbbpbjhjbbjbbjjp.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**5\/4 + 5*l**4\/6 - 14*l. Factor v(c).\nAnswer: 5*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9*i = 2203, 0*n + 3*i = -3*n + 3273. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*k + 34, -b - 4*b = 2*k - 170. Calculate the remainder when 1\/4 - (-535)\/4 is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279 at least as big as 400876\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*z - 3, 5*b - 33 + 16 = 3*z + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 13) to base 12\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 6*q - 1. Let j be f(-3). Let y = -3 - j. Let w be -1*((-5)\/3 - y\/3). What is the second smallest value in 5, 12, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.052 and -140.\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/46? (a) 2 (b) 1\/2 (c) 0.2577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:58 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1\/g*g)**15\/(g\/g**(-2))**(-47))**(-2\/13))**(-36) assuming g is positive.\nAnswer: g**864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 13*y**3 + y**3 + 11*y**3 + 2*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**8\/g*(g\/g**5)\/g)**(-4))**(4\/31))**(-11) assuming g is positive.\nAnswer: g**(352\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81160 divided by 2?\nAnswer: 40580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**3\/3 - 5*h**2\/2 + 3*h + 13. Give t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = -13. Let o(m) = -m + 5. Let g be o(t). Let p = -0.05 + 4.05. What is the biggest value in 0.5, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.3\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10357*m**2*t**2 - 33*m**2*t - 33*m**2 - 3*m*t**2 - 4*m*t - 207*m - 19*t**2 - 9*t wrt m.\nAnswer: -20714*t**2 - 66*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**3 + 55*q**3 - 91*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5500, -10946, -16392?\n\"Answer: -5446*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 15. Let q = 2 - 2.2. What is the closest to j in -5, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 68*q**2 - 4*q + 6. What are the prime factors of w(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1046 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 125746.44*45\nAnswer: 5658589.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(1428\/1215 + 12\/(-10)). What is the highest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j + 0*j)*(-3627 - 109*j**3 + 3627).\nAnswer: -327*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 29063*p + 377960. Calculate m(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(15)*-6*-4)\/(sqrt(24)\/((sqrt(8) - sqrt(8)*2)*-6))*3)**2.\nAnswer: 3732480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + c - 3*c + (3 - 1 - 1)*(2*c - 2*c - 3*c + (0 - 3 + 4)*(0*c + 0*c + c) + 3*c - 3*c - 2*c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/467 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836715081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-3)*(-5)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2 - 3004*m + 3006 = 0.\nAnswer: -1503, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -299, 3, -1 in descending order.\nAnswer: 9, 3, -1, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 + 25128074*r**2 = 0.\nAnswer: -12564037, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 5*n**5 - 4*n**5 + (-4*n**4 - 3*n**4 + 5*n**4)*(2*n + 1 - 1) + n**3 - n**5 - n**3 + 6*n**5 - 1 + 1.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) - (-1 + sqrt(1088) + sqrt(1088))) + 6*(-3 + sqrt(833)).\nAnswer: -17 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4701, 4705, 4709, 4713?\n\"Answer: 4*r + 4697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.5. Let o = d - -1. Let k be 2\/5 - 108\/345. What is the nearest to o in k, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857626699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9901249.\nAnswer: 191, 51839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/144*-12)\/(8\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 3775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from {b: 6, f: 4, x: 3}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -434618 less than -3?\nAnswer: 434615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1246119*d*f**2 + 9734*d*f*v**2 + 12*d*f + 64*d*v - 117*f**2*v wrt v.\nAnswer: 19468*d*f*v + 64*d - 117*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7442 a factor of 301346591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.1572um in millimeters?\nAnswer: 0.9041572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*x - 5418, 0 = -g - 6*x + 9*x + 1816. What is the greatest common divisor of g and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:21 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 591123.\nAnswer: 5911230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.087 - -81.913. Let o = -76 + w. Which is the closest to -0.2? (a) o (b) -4\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55771.75 milligrams to kilograms.\nAnswer: 0.05577175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*j = -2*j - 18, h + j + 34522 - 17259 = 17258 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 1, 14, 0.3, 1\/11, -73 in decreasing order.\nAnswer: 89, 14, 1, 0.3, 1\/11, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - k + 3. Let l be r(3). Suppose 30 = 9*u - 6*u + a, -4*u = 4*a - 40. Suppose 0*f + u = 2*f. Solve l = -5*h + o, -19 = f*h + 2*o + o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + w - 224. Is 2\/(-9) - w\/(-18) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1860, 25971, 91434, 218931, 429144, 742755, 1180446?\nAnswer: 1762899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**3 - 3*k**2 - 2*k - 2. Let u(r) = 0*r**3 - 6 + 3 - 2*r - 4*r**2 - 5*r**3. Let o be 3 - (0 - (2 - 3)). Calculate o*u(b) - 3*f(b).\nAnswer: 2*b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/2 - 52\/(-10). Sort r, 2\/3, 0.\nAnswer: 0, r, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13811 + 1?\nAnswer: 13812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.93 and -734856337?\nAnswer: 734856337.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/99 + (-68)\/(-18). Solve -y*m - 3 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7321932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from {m: 2, w: 1, k: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 26826014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 37*l**3 + 2*l**2 + l - 2. Let m be t(2). What is the highest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 + 1266*b + 7704 = 0.\nAnswer: -6, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:52 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70\/601 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54, -649, -2274, -5445, -10678, -18489?\n\"Answer: -86*q**3 + q**2 + 4*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 4*u)*(-3*u**4 + 2*u**4 - u**4) + 2 - 3*u**5 - 2 - 2*u**5 - 3*u**3 + 3*u**3.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = -0 - 2 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-12 + (26 - -14)) - 11\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -5*u**4\/12 - 5*u**3\/6 - 8*u**2. Let m be r(-3). Let c = m + 47. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -9 + (-12 - -26). Solve t*b = 19 - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 - 122 = -18*x - 40. What is the remainder when 823 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/28))\/s)**(-3\/8) assuming s is positive.\nAnswer: s**(3\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooykkoo. Give prob of sequence oky.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -6, 2\/3, -3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/1260 - 13*h**4\/2 - 49*h**2. Let v(z) be the second derivative of d(z). Let u(s) = 5*s**2 - 13*s. Determine v(u(q)).\nAnswer: -50*q**4 + 260*q**3 - 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m + 2. Let k be p(-2). Suppose -2*j + k*j = 6. Let b(c) = c**2 - 4*c + 1. Let a be b(2). Sort -5, j, a in descending order.\nAnswer: j, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/33, 0, -4, 3, -2\/2409, -2\/15, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -962*o**3 + 36*o**2 - 125*o + 126. What is l(1)?\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 1. Let o be q(7). Sort o, 1, 0 in descending order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1056177 times -3\nAnswer: -0.3168531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 102211020 (base 4) to base 16\nAnswer: 12948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**4*w**3 + 204*s**3*w**2 + s**3*w + 3*s**2*w - 1429*s*w**3 wrt s.\nAnswer: -264*s*w**3 + 1224*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-2)**2 - sqrt(275) - (sqrt(11) - (sqrt(11) - (1*sqrt(275))**2)).\nAnswer: -5*sqrt(11) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -4, -110774 in decreasing order.\nAnswer: 5, -4, -11, -110774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 722669431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, z: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) 1\/8 (c) -222 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8517 is divided by 232.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 5. Let z be k(-6). Let n(y) = 2*y + 1. Let f(p) = 3*p. Let q(d) = -2*d. Let c(v) = 3*f(v) + 5*q(v). Give z*n(o) + 4*c(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26.81 and 1.1.\nAnswer: 27.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72 and -2876053?\nAnswer: 2875981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 91*z - 93*z - 10 = 0, 0 = -g - 3*z - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdn when three letters picked without replacement from {b: 1, t: 1, n: 1, d: 2, m: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -165, -226, -287, -348, -409, -470?\n\"Answer: -61*r - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 - 6118*r**2 - 4866880*r + 15117371904 = 0 for r.\nAnswer: -3632, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(12 + -6) + (-112)\/(-14). Solve q*i = 19*i - 57 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 5)*(-38 - 18*t + 38 + (0 + 0 + 2*t)*(-5 + 2 + 2) + 9 - 9 - t)*(1 - 1 + 3) to the form z + n*t and give n.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 1\/18*h**3 - 1\/24*h**4 - 15*h + 1\/120*h**5 + 0*h**2 + 0. Factor j(k).\nAnswer: k*(k - 2)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*v - 246*v - 279*v - 246*v = -1628 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = 3*t - 4*w, 3*w - 20 = -t. Let l = -17433 - -17455. Suppose l = 2*q - v, -t*q + 5*v = -2*q - 19. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*i - 4963 + 4939, 0 = 5*d + i - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 10*m**2 + 20*m - 7. Let k be h(-9). Let f = k - -148. Let n = -38 + f. Solve -28 = 4*q + 4*x - 0, -n*x = -3*q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 8. Let n be c(-3). Let k(f) = -f**3 - 3*f**2 + 3*f - 2. Let y be k(-4). Find z such that 2*z**2 + 2*z**y + n + 0*z**3 - 2*z - 9 + 2*z**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84987 + 77542.8. Round q to the nearest 100.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-59)\/4 + 1\/(-4). Let m = h - -18. Suppose u = m*u - 64. Is 32 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 0. Suppose -2*o = 3*o + 2*f - d, 0 = 4*f. What is the second derivative of -194*v + 13*v**o + 129*v + 87*v wrt v?\nAnswer: 260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23319577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 6:21 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 7*m**2\/2 + 3*m - 1060. Let w(c) = -3*c - 2. Give 4*t(o) + 7*w(o).\nAnswer: 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*i + 17, 372*i - 374*i = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 369 + -2?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 92, 111?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 7, a: 4, m: 1}. Give prob of sequence am.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165788392009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -371. Suppose 9*u + 1405 = q. Let t be 6*((-15)\/u)\/3. Does 1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3557919 times -0.5?\nAnswer: -0.17789595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 4. Let v be l(-7). Let z(n) = 5*n**2 - n**v - 12 - n + 12. Suppose -5*y + 20 = -y. Give z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4425 + -48677\/11. Sort -4, -0.2, o, -86, 3 in descending order.\nAnswer: 3, o, -0.2, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-26 + 32) - (-122)\/(-8).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 1\/16*t**4 + 0*t - 1\/2*t**2 - 1\/60*t**5 - 1\/12*t**3 + 2. Let h(z) be the second derivative of n(z). Factor h(g).\nAnswer: -(g - 1)*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-6))\/(-3))\/(-3)*24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/212237 and -93\/5690.\nAnswer: 2122370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 43 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 13. Let a be l(-8). Let w(j) = j**3 + 4*j**2 + j + 3. Suppose -h + 2 = -0*h. Calculate the lowest common multiple of h and w(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4849*t + 1. Let y(p) = 10*p**2 + 14*p. Determine y(a(w)).\nAnswer: 235128010*w**2 + 164866*w + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1321?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-48)\/(-5))\/(2\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69483, -69474, -69463, -69450, -69435?\n\"Answer: u**2 + 6*u - 69490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5 - 1)\/(-1). Solve 0 = -3*m - 2*n + 6 + 15, i = 4*m + 5*n - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**3 - 84*g**2 - 180*g + 8100 = 0. Calculate g.\nAnswer: -9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6444516 is divided by 5570.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 5, e: 3, h: 7, n: 3}. What is prob of sequence hb?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4*a*a\/((a**(14\/9)*a)\/a) assuming a is positive.\nAnswer: a**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 188, 773, 1756, 3143, 4940?\n\"Answer: y**3 + 193*y**2 - y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1268*g**2 - 822*g - 2 wrt g?\nAnswer: 2536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(72)*-2 - sqrt(72)) - (sqrt(72) + -6*sqrt(72)*5))*2 + -5)**2.\nAnswer: 3120*sqrt(2) + 194713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2 + 2\/1. Suppose -3*s - s - 8 = u. What is the tens digit of -1 + (1 - 0) + s + 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2930*h**3 + 35*h**2 + 42*h - 15. Let r(w) = -5*w**2 + 2. Let p(a) = g(a) + 7*r(a). What is the second derivative of p(t) wrt t?\nAnswer: 17580*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -32.6. Which is the biggest value? (a) 2\/3 (b) -3\/5 (c) g (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 890\/4 - 2 - (-16)\/(-32).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-178)\/(-26) + 20\/130).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245012651 (base 7) in base 2?\nAnswer: -111010110011100010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*(b\/b**(2\/3))\/b)**47)**(3\/16)*(b**5*b)\/(b*b**(-5)\/b*b*b)*b**3*b\/b**(-4) assuming b is positive.\nAnswer: b**(601\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (7 + -11 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000563939 rounded to seven decimal places?\nAnswer: 0.0000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 2, g: 1, y: 1, o: 4}. What is prob of picking 2 o and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 4*n**2 - 3*n - 9. Let o(r) = r + 1. Let p(l) = -d(l) - 5*o(l). Let h be p(-4). Let x be 75\/(-20)*h\/10. Is -6 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -373653*l. Let h(q) = -20*q**2. Give h(o(w)).\nAnswer: -2792331288180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z - 20. Suppose 885*p - s - 5 = 889*p, -3*s = p - 7. What is the second biggest value in z, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6805514 to the nearest integer?\nAnswer: 2609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - -10 - (-12)\/(-2 - 4). Factor -2\/3 - 1\/3*f**2 - 2\/3*f**d + 5\/3*f.\nAnswer: -(f - 1)*(f + 2)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3810, 17052, 39728, 71838, 113382?\nAnswer: 164360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5667400849 to the power of 1\/2, to the nearest integer?\nAnswer: 75282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 622777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3947, -7896, -11847, -15800?\nAnswer: -19755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 25. Let y = 24 - r. Suppose 1854 = 3*p - 2*k, 3*p + y*k = 3*k + 1851. Round p to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8 - 7 = 3*p, i = -3*p + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 363 - 2397 = 0. What is j rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*b + 3*t = -8, -3*t - 13 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -384443 divided by 3527\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23470495933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-14)*d**(-1\/9))\/(d**14\/(d*d**(30\/7))) assuming d is positive.\nAnswer: d**(-1375\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 909*-0.2.\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*56\/(-35)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 5*u - 4*u. Let v(w) be the second derivative of -w**4\/8 + w**2\/2 + w. Let h(b) be the first derivative of v(b). Calculate a(h(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.3 (c) -2 (d) 5 (e) -0.5 (f) -153\/5 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(5 + -10) + 1 + 2. What is the second smallest value in n, 11, -1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -643.928 - 0.072. Which is greater: h or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 7:44 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - 3 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**2 - 440*c + 8964 = 0.\nAnswer: 27, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200001935?\nAnswer: 5, 7, 643, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 44 = 16*l + 12 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v + 63. Give s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*t = -10*t - 7314 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*r**2*u - 10*r*u**3 - 90*u**3 wrt r?\nAnswer: -36*r*u - 10*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*g**5 - 541*b*j**2 + 20962*g**5*j**2 + 2*g**2*j**2 + g*j + 12*g - j wrt g?\nAnswer: 240*b*g**2 + 1257720*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - 5*v)*(1 - 2 + 0)*(-505 - 193*v + 505)*(-1 - 1 + 1).\nAnswer: 386*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4562370?\nAnswer: 2, 3, 5, 163, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.109, -2\/11, -0.1168 in decreasing order.\nAnswer: 0.109, -0.1168, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*d + 11 = -5, 2*n - 3*d - 23 = 0. Suppose -4*x - 30 = n*z - 2*x, -42 = 5*z + 4*x. Is ((-27)\/z)\/((-6)\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26892630 and 17928420.\nAnswer: 53785260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, -4\/3, -109.5, 1\/9, 18.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 - 19*m + 35. Let y = 258 - 251. Let k be v(y). Solve 4*a = -5*c + 3, k = 2*a + 5*c - 2*c - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 38\/3, 2\/3, 1\/4 in decreasing order.\nAnswer: 38\/3, 2\/3, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-22)\/(-3)*(-16)\/20784. Is j at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 173424?\nAnswer: 173420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {m: 6, h: 3, f: 4, j: 4}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3262826, 6525651, 9788476?\n\"Answer: 3262825*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 0, -3*b + 5*k + 11 + 24 = 0. Suppose 40 = 93*r - 101*r. Sort r, b, -14 in descending order.\nAnswer: b, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 28*m**2 - 104*m - 8. Calculate v(4).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7. Let h = 2 + a. What is the second biggest value in h, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + z = 7*z - 195615. What are the prime factors of z?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - ((-19)\/4 + 1). Suppose g - 318 = 4*j, o*j - 954 = -2*g - 270. List the prime factors of g.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281.95454 to the nearest integer.\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**4\/24 - 2*s**3\/3 - s**2. Suppose -5*a = 5 - 45. Let g be t(a). Solve -2*n + 2 = 4*z - g*n, 0 = 3*z - 5*n + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 6. Suppose -2*u + 10 = 4*o - w*o, 5*u - 3*o - 25 = 0. Solve -10 = -t + u*n, -3*t - 3*n + 11 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3362 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 20*g - 22*g - 3*s, 0 = -2*g - s + 7. Solve -1 = i - y, y + 2 = 3*i - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-4355) - (-1076)\/(-134)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 8, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = -0*h + h, -2*q = 2*h + 16. Let g = h + 36. Calculate the highest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 26*l - 152. Let q be h(6). Suppose 0 = -f + q*v + 49, 0 = 2*f + 4*v - 33 - 5. Calculate the highest common factor of f and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3 + 7. Suppose 2*t - 2*x = -f, 5*t + 0*x = x - 2. Suppose -3*v + 0*v = 3*g, t = -5*v + 3*g + 16. What is the greatest common divisor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90138193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*w**2 - 6 + 30*w**2 - 64 + 8*w**2 wrt w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h + 249*h + 54 - 54 = 0. Factor -2\/11*y**3 + 24\/11*y + h - 2\/11*y**2.\nAnswer: -2*y*(y - 3)*(y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 134*r = -137*r + 27, 3*r + 82 = -5*i + 25 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41153 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70.2 and -2?\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + i + 4. Let o be d(0). Let f(n) be the third derivative of n**5\/60 - n**4\/6 + n**3\/6 + 2*n**2. What is the units digit of f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - 4) + (-9 - 3) + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -351*o**3 + 3*o**2 + 37*o. Let y(q) = -175*q**3 + q**2 + 16*q. Determine -3*b(k) + 7*y(k).\nAnswer: -172*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -2\/5 (c) -32\/27 (d) -1.3 (e) -0.6 (f) -3\/10 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/4)\/(9\/(-1320))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/(2\/10). Let d = -845 + 840. Suppose 4*n = -0*n. Sort a, n, -4, d in descending order.\nAnswer: a, n, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 24600.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjijjjijriiiiratjiir. Give prob of picking 1 r and 1 j.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 0.2. Let n = 2.88 - 1.9. Let g = n + 0.02. Sort -2, g, t in decreasing order.\nAnswer: g, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1317\/5 - 263. Suppose -4\/5*z + 2\/5*z**2 + j = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times -2.52137\nAnswer: 0.6303425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 greater than -13070\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -9.06. Let m = -4 - -5. Suppose -3*j - 4 + m = 0. What is the smallest value in j, 0, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 483, 479, 475, 471?\n\"Answer: -4*d + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -117. Sort -37, y, 7.\nAnswer: -37, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3998393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2 + 10*b + 2. Let a(u) = 7*u**2 - 9*u - 2. Determine 4*a(o) + 3*w(o).\nAnswer: o**2 - 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 12*o**2 - 13*o - 3. Let k be q(13). Let j(d) = -d**3 - 2*d**2 + 4*d + 3. Let i be j(k). Solve 5*n = w + 27, 0 = -i*w - 5*w - 3*n + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20\/189 - -905\/378. Which is the nearest to 1? (a) d (b) 2 (c) 0.0677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 2. Let g be j(4). Suppose 0 = w - 14*d + 12*d - 16, -3*d - 28 = -2*w. Does 17 divide w\/(-20) - 964\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108800 by -340.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11723687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 7. Let u = d + 91\/4. Let t = -13115\/19668 - -1\/6556. What is the nearest to t in u, -3\/4, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*z**4 + 21*z - 7*z**3 + 9*z**3 + 0*z**3 - 23*z + 0*z**3 to the form t*z**2 + f*z**3 + j + w*z**4 + v*z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/(-270)*-12?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 15*w - 1. Let d(t) = t**2 + 16*t. Let p(f) = -3*d(f) - 4*r(f). Find x, given that p(x) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(1 + 0)*(-4)\/4. Let q = s - 37. What are the prime factors of (-10)\/(-25) - (1 + 298\/q)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 16*w + 12*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2 + 6. Suppose -729 = -4*c - u*t + 3*t, t + 548 = 3*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6 + 17\/(-102). Suppose -13*m + 39 + 52 = a. Solve -c = 5, 2*c = 4*r - m - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 6*q)*(-2*q**2 + 2*q**2 - 3*q**2) + 0*q**2 + 0*q**2 + q**3 + (-3*q**2 + q**2 + 3*q**2)*(-3*q + 4*q + 0*q).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**3 - 13*d**2. Let f(u) = 16*u**3 - 27*u**2. Calculate 3*f(r) - 7*v(r).\nAnswer: -8*r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199968 = 10*l + 45629 - 243371. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)\/(b**(1\/6)*b))**(-1\/3))**(-15) assuming b is positive.\nAnswer: b**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221399283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 13*f**2 + 5*f + 6. Let m be t(6). Solve m*g = 4*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 2\/163 (c) -6.7 (d) 1 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 391, 1038, 1997?\nAnswer: 3268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -63 + 101*n**2 - 15*n + 7*n - 100*n**2. What is o(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(sqrt(45) + (sqrt(45) - sqrt(45)*1) + sqrt(45)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14955*n**3 + 4*n**2 + 4*n**2 - 3*n**2 - 7*n**2.\nAnswer: 14955*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -58. Let h = 7158295 - 7158323.000036. Let p = i - h. What is p rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 20.8. Let j be 248\/(-6) - (-230)\/(-345). What is the biggest value in l, j, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 - -191.1. Which is the nearest to -1? (a) 0.4 (b) g (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 10. Let x be k(-6). Suppose 3 = x*v - 21. What is the third derivative of 4*p**6 + 0*p**6 - v*p**6 + 2*p**2 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15620*j**3 - 62731*j**3 - 1274*j + 1274*j.\nAnswer: -47111*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 628*h + h**3 + 2 + 5135*h**2 - 630*h - 5133*h**2. Let k(p) = -p**2 + p - 1. What is c(g) + 2*k(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -80. Let o be 2\/j*824\/4. What is the third derivative of -18*n**3 + o*n**3 - 36*n**3 - 36*n**3 - 31*n**2 wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 754 and 2?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284046 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/30 + 25*q**2. Let m(w) = -2*w - 2. Calculate m(d(k)).\nAnswer: -4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/390166 and -71\/2898376?\nAnswer: 20288632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqgqqyqgylyqyu. What is prob of sequence uqqg?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 192535578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 801313 = 801357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.056 (b) -0.2 (c) -51 (d) 1\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 111.\nAnswer: 4\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueu when three letters picked without replacement from uuuuuuuuuuuuuuuuuue?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1 (c) -0.4 (d) -508 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2879 - 2744. What is the smallest common multiple of 81 and x?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5978775418.\nAnswer: 2, 7, 11, 67, 579451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2*k**2 - k. Let b(p) = 4*p**3 - 10*p**2 + 5*p + 12. What is -b(x) - 5*i(x)?\nAnswer: x**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 13?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 8 = 2*r. Do r and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -75. Let u be (-70)\/(-20) + 2\/(-4). What is the remainder when (-1 - 0)\/(u - 4) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -16 - -8 - 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.028 (b) -57 (c) -3\/5 (d) 490.6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2 + 1 + -2. Let h be (k\/(-2))\/((-2)\/12). Let i = h + 22. Solve g + 1 - i = 4*s, -3*s - 28 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 10. Let h be b(-6). Let x be (0\/(3 + 1))\/h. Suppose 3*a = 5*a - 10. Solve a*t - 6*t + 1 = x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 z = 59 + -42. Suppose p - 41 = -z. Suppose -h + p = 2*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -332196000 to the nearest 1000000.\nAnswer: -332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248976 by -56.\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25*w - 930 = 22*w, 731 = 4*z + 5*w. Calculate the remainder when z is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o + 10*r - 3491839, 5*o + 3*r - 5819800 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10003624.\nAnswer: 2, 1250453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1835*m - 12468 + 12468 + 1906*m - 161*m to u*m + f and give u.\nAnswer: 3580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.046, 3, -0.5, 8, -2\/7.\nAnswer: -0.5, -2\/7, -0.046, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2217, -4418, -6547, -8568, -10445, -12142, -13623, -14852?\n\"Answer: 6*w**3 - 2243*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*z + 3 - 3*z**3 + 0*z**3 - 20*z - z**2 - 14*z to c*z + y*z**2 + s*z**3 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/30 + m**4\/24 - 14*m**2. Let y(v) = -10*v**2 - 6*v - 1. Determine 11*i(k) + 2*y(k).\nAnswer: 2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28792404*w**3 - 2*w**2 + 180010222*w.\nAnswer: -172754424*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z + 4598922 = 134*z + 1828518. What are the prime factors of z?\nAnswer: 2, 3, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n. Let a(p) = -p**3 - p**2 - p + 13. Let t be a(0). Let k(l) = 13 + l**2 - t. Calculate k(b(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 2*b**3 - 1\/4*b**4 + 8*b - 6*b**2 - 1. Let c(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*x - 22473 - 45607 = -126*x. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 + 4*r - 1. Let t be y(6). Let a = 39 - t. Solve -2*f + 18 = 4*u, -3*f - a = -5*u + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -26*j + 30. Let t be f(1). Find the first derivative of 36*r**3 + 31 - 36*r**3 + 102*r**t wrt r.\nAnswer: 408*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5274 - 1.1274. What is the second biggest value in 1\/2, 2, 5, b, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814715 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q + 5*q)*(3 + 0 - 1) + (3 - 5 + 1)*(q + 1 - 1) + 23*q + 85 - 85.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*s - 10. Let a be ((s - -7)*(1 - -3))\/2. Suppose -4 = 4*t - 3*t. Put t, a, -1\/2 in increasing order.\nAnswer: t, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 22*v**2 + 16*v - 65. Let x be d(22). Let i = 287 - x. Let 0*p**4 + 2\/11*p**5 - 4\/11*p**3 + 2\/11*p + i + 0*p**2 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p + 4*p)*(-5 + 2 + 2)*(3*p - 3*p - 3*p)*(2*p**3 + 0*p**3 + 0*p**3).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 80, 115, 162, 221, 292?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.78 + 0.18. Put -3\/2, a, 4 in ascending order.\nAnswer: -3\/2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1713 (base 10) to base 2\nAnswer: -11010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21004 and 1338828?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/11 (b) 1\/2 (c) 56393 (d) 0 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhlhlh. Give prob of sequence hh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(70)*5*-4)\/sqrt(10) + -4)*-3)**2.\nAnswer: 1320*sqrt(7) + 25321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6 = 2*y, 4*j = y - 0*y - 3. Do -2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67.897911 + -0.165089. Let k = -68 - b. What is k rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38827971 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + 2*b - 3. Let r(f) = 3*f**2 - 3*f + 3. Let i be ((-134)\/(-268))\/((-2)\/16). Calculate i*n(g) - 3*r(g).\nAnswer: -g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1486004*q - 1486023*q - 57 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnntnnnnnttn. Give prob of picking 2 n and 1 t.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1107*f - 9439. Determine y(7).\nAnswer: -1690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*k**2 - 3475*k - 105105.\nAnswer: -5*(k + 39)*(4*k + 539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 6. Let a be v(6). Solve 0 = -2*t + o + 6 - 1, -2*t - 4*o = a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679924 to the power of 1\/2, to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + -0.03. What is the nearest to -2\/3 in 0.2, c, -10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10*b*(b*b**(4\/9)*b*b*b)\/b*b)**(10\/9)\/((b\/(b**(1\/2)\/b))**(-3\/5)*b**0\/b**8) assuming b is positive.\nAnswer: b**(21109\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 4347.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 + 29*l. Let j(y) = 2*y**2 - y + 1. What is 3*j(c) - m(c)?\nAnswer: -4*c**2 - 32*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 86. Let h(d) = d**3 - 21*d**2 - 23*d + 25. Let j be h(22). Solve -j*z - b = -g, -g + 0*g + 2*z + 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558912 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five quarters of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 1954729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 15011?\nAnswer: -5\/15011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, 16, -0.5, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19670.000001977 - -19670. What is m rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78904 is divided by 2247?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*x + 3 = 0, 3*v + 1 = -5*x + 10. Let p be 21\/14*4\/3. Let n be (-1)\/p - 33\/(-6). Are v and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468936?\nAnswer: 2, 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*-1*19\/(-76))\/(1*(-7)\/(-98))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*2\/(-20))\/((-45)\/(-150))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/70*1*55\/66\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755329.\nAnswer: 1171, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 256544597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/1229 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/4 - (2 - 1). Let j(t) = 0*t**3 + 3 + t + 4*t**2 - t**3 - 2. Let g be j(s). Is g smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3343719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.226 - 0.064. Let n = h + 2.91. Round n to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - -0.31. Suppose 0 = m - 0*m - 1. What is the closest to m in s, 5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560111155 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4 - (-1 - -2)). Suppose 3*b = -12*b. Factor b - w*f**3 + 4\/5*f**2 - 2\/5*f.\nAnswer: -2*f*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*r**3 - 10*r + 14*r - 4*r.\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 8*a**2 - 10*a - 6. Let h be c(-9). Suppose h*u = -3*u - 270. Let g = -30 - u. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-24)\/64)\/(66\/(-712)) and -25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z - 2. Let x be q(2). Suppose -7*v = -x*v - 27. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-83)\/(-581)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50592 and 2494291.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 34 = -17*t + 33*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-6))\/((-10)\/(-15)). Let b be 10\/p*(-4)\/(-45). Suppose -8\/9 - b*n**2 - 8\/9*n = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/168108 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 11. What is o(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0\/b)\/b)\/b*b**(3\/7)\/b)\/(b\/(b*b**10)*b**(1\/8)) assuming b is positive.\nAnswer: b**(353\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*f**3*n**2 + 2*f**3*n - 4*f**2*n**2 + 58*f**2*n wrt n.\nAnswer: 44*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0542 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 1144 - 1008 = 0. Let g = z + 1025. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 22. Let z(g) = -2*g**2 + 16*g + 54. Let r(j) = 3*j**2 - 15*j - 55. Let f(d) = h*r(d) - 5*z(d). Factor f(y).\nAnswer: -2*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 + u + 1. Let o(s) = s**3 + 9*s**2 - 6*s - 6. Let r(w) = 6*h(w) + o(w). Find the third derivative of r(l) wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3\/4, -31?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -615.3 to the nearest ten.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i + 26. Let h(a) = 51*a - 143. Let n(x) = -2*h(x) - 11*v(x). Let q(t) = 76*t**2 - 1. Give n(q(k)).\nAnswer: 608*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 7, 4, -12 in descending order.\nAnswer: 15, 7, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 100*u**2 + 2207*u + 2108.\nAnswer: (u + 1)*(u + 31)*(u + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-459)\/(-18) + -8)*6\/5. Suppose -18*k + a*k - 651 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.2. Let j = 53406\/5 - 10720. Let s = j - -40. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 27*i**2. Let y(q) = 14*q**2 + 9*q. Let b(z) = -323*z**2 - 204*z. Let t(j) = -3*b(j) - 68*y(j). Calculate c(t(s)).\nAnswer: 7803*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -985542\/395 + 2495. Do a and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 2333542*m - 4*m**2 - 2333536*m.\nAnswer: -5*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.7 + -32.9. Let p = z + -73.799529. Round p to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, 14*o - 17*o + 25923 = 5*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35552)\/672 + 53)\/(1 + -2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 85381.9 kilograms?\nAnswer: 85381900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233 (base 10) in base 7?\nAnswer: -6340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 85*i**2 - 30 + 87*i**2 - 31 - 3234*i - 4*i**2 + 2*i**2 + 0*i**2 + (-2*i + 4*i - 4*i)*(-2*i + i - i) as x*i**2 + z*i + u and give z.\nAnswer: -3234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 331, 330, 329, 328, 327?\n\"Answer: -s + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:53 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 - 9*x + 25. Let i(r) = 3*r**2 + 8*r - 25. Determine -6*i(o) - 5*m(o).\nAnswer: 2*o**2 - 3*o + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 508173 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 583904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64207100 divided by 16051775?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 3. Let j(g) be the second derivative of g - 7 + 2*g**2 - 1\/3*g**3. What is -6*h(a) + 5*j(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 100, 112, 128, 148?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 61. Calculate the highest common divisor of 48 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(7\/2)\/(y\/y**(-2\/7))**(-9\/5))\/((y*y**1\/y)**48\/((y\/(y**2\/y))\/(y\/(y\/(y\/y**(1\/9)))))) assuming y is positive.\nAnswer: y**(-14671\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036 + 1009.\nAnswer: 1008.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 136*h - 5 + 62*h - 4*h**2 + 73*h. What is i(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 4. Let z be a(2). Suppose 0 = 3*n - 5*n - z*d + 106, 2*n - 2*d - 106 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 32 = -8. Suppose 4*j = 2*c + j - 15, -d = -c - j. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272628563.1 less than -33988?\nAnswer: 272594575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Suppose 0 = -4*n + 5*n - 2. Let u(x) be the first derivative of 0*x**n + 3 + 4\/3*x**3 + 0*x. Give u(r(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/10*56300\/7882.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -35.5. Which is the third smallest value? (a) p (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = 15*x - 28*x - 5*z + 8, -4*z = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-10)*(-3)\/63.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686 and 44688.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430688413 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + 12?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 2*s + s**2 as o*s**2 + l + q*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 3*t + 7. Let y be g(4). Let l = 8 - y. What is the remainder when 12 is divided by l*(0 + -2) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -18*t**5 + 50260*t**4 + 89398*t**3 + 27944*t**2 - 11176*t = 0.\nAnswer: -1, 0, 2\/9, 2794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 6. Let w be u(6). Suppose 3*x + 6644816 + 30255184 = w. Round x to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491017 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2 - 2 + (3 + 2*i - 3)*(-3 + 2 - 1))*(-7 + 4 - 1) + 2*i - 5 + 5 in the form w + n*i and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*x + x + 430, 4*x - 140 = -s. Solve 140*t = s*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -154482.5\nAnswer: 77241.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42384.35 kilograms in grams?\nAnswer: 42384350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24379*b**2 - 4*b + 24372*b**2 + 4*b.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Suppose 3*t - 4*p - 9551 = 0, -v*t - p + 6329 = 4*p. Suppose 7*n = 4*n + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -2*w - 1400. Calculate the highest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189396 is divided by 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 476. What is the units digit of x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2\/12)\/((-273)\/195) - (-149)\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 119*k**2 + 25944*k.\nAnswer: -k*(k - 376)*(k + 138)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388402557 is divided by 8640.\nAnswer: 8637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/44380 and -53\/234.\nAnswer: 5192460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*x - 5*s, -7*x = -3*x - 2*s - 132. What is the greatest common divisor of x and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 v when four letters picked without replacement from {f: 3, e: 3, j: 7, v: 6}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**6\/15 + g**4\/12 + 9*g + 21. Let a(p) be the first derivative of s(p). What is the third derivative of a(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142*o**3 - o - 856?\nAnswer: 426*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 + 4*m + 4. Let q(b) = 6*b**2 - 3*b - 3. Let u(s) = 3*f(s) + 4*q(s). Let w(k) = 0 + 0 + 2*k. What is w(u(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1510546\/7 + -216957. Let x = r + 1167. Factor 2\/7*f**2 + x*f + 32\/7.\nAnswer: 2*(f + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11995 - -11939.77. Let x = 55 + m. Let g = x - -0.23000072. What is g rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = t - 0*t, -3*t + 3 = 0. Suppose 5*a = 1 + m. Suppose 3*s - 85 = -a*s. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*(-26)\/1274 + (-9245661)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*h - 15, 2*i - 3*h + 18 - 4 = 0. What is the closest to -6 in -18, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*r + 452 = 0, 0 = 172*s - 175*s - 4*r + 339. What is the remainder when 286 is divided by s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71.1 - 71. Which is the closest to y? (a) -0.1 (b) -1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.209 and -0.1.\nAnswer: -0.2209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147614381 to the nearest integer?\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/210 + 8*m**6\/75 + 37*m**5\/100 - 51*m**4\/10 - 108*m**3\/5 - 4071*m. Factor a(j).\nAnswer: j*(j - 4)*(j + 2)*(j + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372715218?\nAnswer: 2, 5081, 233489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54501 (base 6) to base 9.\nAnswer: 11281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5462, 11316, 17232, 23240, 29370, 35652?\nAnswer: 42116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - 2 - 0) + 9 + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -111, -222, -333, -444, -555?\n\"Answer: -111*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.868763 and 4?\nAnswer: -7.475052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 4*o + 75, 44527*y - 44531*y + 3*o = 42 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19526016 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461853, -923704, -1385555?\nAnswer: -1847406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17)\/153)\/(-1))\/(1\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3*(-36)\/(-1). Let n(m) = -2*m + 26. Let x be n(k). Let v(w) = w**3 - w**2. Calculate v(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/20 + 7*u**4\/6 - 5*u**3 + 18*u**2 + 1364*u. What is a(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:04 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253033.\nAnswer: 11, 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17807, -35772, -53849, -72026, -90291, -108632?\nAnswer: -127037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*m = -3 - 0, -2 = 5*p - m. Suppose -7*b = 162 - 127. Let c be -39 + 44 + 24\/b. Put 0.1, p, 7, c in descending order.\nAnswer: 7, c, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*3\/((-48)\/829). Let h = -421023\/4148 + 1\/4148. Let j = y + h. Calculate the common denominator of j and 20\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 28172980*x**3 - 132286096116072*x**2 - 207049347150384459888*x + 828199505180878767936.\nAnswer: -2*(x - 4)*(x + 4695498)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302228311?\nAnswer: 139, 9368549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-54) - (-1316)\/9. Let l = h - 1318\/9. Let x = l - -38\/45. Sort x, -17, -4 in decreasing order.\nAnswer: x, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 71. Let r be 3 - (j + -2)\/(-1). Let h(v) = -v**2 - 6*v. Let b be h(-6). Put b, 1, r in increasing order.\nAnswer: r, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and 8964814.\nAnswer: 8964813.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/13 = -166787062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j**2 - 68*j**2 - 14*j**2 + j**2 - 18*j**2.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/90 + (-47)\/(-9). Suppose 25 = 5*b, l - w*b = -2*b - 13. Let n be ((-1 + 1)\/1)\/l. Solve n = k + 1 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 35. Let q = 13 + g. What is the highest common factor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5887901?\nAnswer: 139, 42359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109, 433, 757, 1081?\n\"Answer: 324*i - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = -5*v, -j + 0*v + 2*v = -6. Suppose j*u - 1 = -r + 5, -2*r - u + 15 = 0. Find o, given that -9*o - r - 2*o - 4*o + 3*o - 4*o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6317528 less than -45088?\nAnswer: -45124.6317528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 30. Let h = 1 - w. What is the lowest common multiple of (-34)\/(-6) + (-65)\/39 and h?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 16 + 1 - -4 - -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3791)\/(-13380))\/(7\/42).\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 830 - -4?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1096)\/(-120) - 9 - 703428\/(-90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404616 is divided by 57802.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b - 5. Let w be 0\/((3 - 0) + 0). Suppose -j - 4*z = -w + 12, -5*j + 2*z = -50. What is the units digit of g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (0 - 57 - -3). Let k = 368 + z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11742 + -11622. Calculate the highest common divisor of 3880 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 - 821 = -9*a. Let s = -10 + 10. Suppose s = 4*z - a - 303. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20*t**3 - 5*t**2 + 3*t + 5. Let s(a) = 10*a**3 - 2*a**2 + a + 2. What is 5*s(y) - 2*x(y)?\nAnswer: 10*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(288) + -2 + sqrt(288))*-6)**2.\nAnswer: 3456*sqrt(2) + 41616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1264530 and 103650.\nAnswer: 6322650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 980 - 280. Let s = o + -277. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*r - 847 = -174*r + 163*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 13) in base 6?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373414?\nAnswer: 2, 186707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 941 - 855. What is the remainder when x is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.1432?\nAnswer: 0.02864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/2 + 2844516*i + 1348545212376 = 0?\nAnswer: -948172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 22*v - 71. Let z(w) = -w**2. Let f(q) = -3*q**2 + 2*q + 8. What is v*z(k) + f(k)?\nAnswer: -k**2 + 2*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Let t be 0 + 2 + -7 + 7. Suppose -3*h = a + t. Sort 5, h, 2 in decreasing order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 - 73*l**4 + l**2 - 680?\nAnswer: 240*l**3 - 1752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -629 + 634. Which is the biggest value? (a) -4 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h + 72. Let n = -9 - -4. Let t = n - h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*t = 0. Sort 1, -2, t, -1 in ascending order.\nAnswer: -2, -1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*r - 5, 3*r + r + 5*p = 8. Let k = -0.02 - -10.02. Let q = -12 + k. Which is the smallest value? (a) -0.2 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 21, 41, 67?\n\"Answer: 3*b**2 + 5*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rata when four letters picked without replacement from {h: 1, r: 3, t: 6, a: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**11))**(-1\/58)*r**(1\/5)\/((r**(-1\/3)*r)\/r) assuming r is positive.\nAnswer: r**(629\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -232144 (base 6) to base 4\nAnswer: -10313200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - m - 14, 3*m = 2*d. Suppose -12*u = -5*t - 8*u + 93, 0 = t - 5*u - d. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3927589?\nAnswer: 197, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*f - 4, 5*v - 40 = 5*f. Let c be 2\/v + (10 - 627\/110). Determine u so that 4\/5*u**2 - c - 4\/5*u = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 9*y**2 + 9*y - 8. Let h be i(8). Suppose -t - j + 3*j = -4, -3*j - 9 = 0. Sort h, 5, t.\nAnswer: t, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194088042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 18486\/27)\/(-1 - 5). Let u = l + 113. Which is the second smallest value? (a) 2\/7 (b) u (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + a**3 + 6 - 6 + 5*a + 6. Let x be l(-4). Let z(o) = o**3 - o**2. Let m be z(1). Solve x*g - 6*g + 12 = m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -0.3, 20, 2, 3, 0.4 in descending order.\nAnswer: 20, 3, 2, 0.4, -0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - f**2 - 2*f**2)*(-113*f**2 + 1184*f - 1184*f) to o*f + r + y*f**3 + d*f**2 + s*f**4 and give s.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1\/75, -0.112 in ascending order.\nAnswer: -3, -0.112, -1\/75, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4755.27 - -4569.2. Let k = 197 + h. Round k to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28950 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 + 15*s)*(-s + 0 + 0) + (s - 2*s + 0*s)*(0 + 0 + s) + 3*s**2 + s**2 - 2*s**2 + (-s + 0*s + 0*s)*(-s + 4*s - 5*s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d + 70. Let s(f) = -9*f + 71. Let v(y) = -5*l(y) + 6*s(y). Let p be v(-8). Which is the smallest value? (a) p (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(c + 0 + 0) - 3*c - 3*c + 5*c - 5*c - 2*c + 2*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*i - 0*i - 30, 3*i = 4*m + 87. Let r be (5\/4)\/((-3)\/m). Suppose v + 2*d = 3*v - r, -d = 4*v + 5. Are v and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1960488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9262 - 3.9262. Let c = 3 - 2.8. Let g be 31\/(-18) + (-12)\/(-8). What is the biggest value in g, c, -4\/3, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 12. Let o be 103\/t + (-8)\/28. Let s = -7 - o. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4794 - 4759. Solve -49*z + 42*z - x = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20303971367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 300 = -122*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = h - 4, -4*h - 5*o + 9 = -0*h. Let p be -1*(-3)\/6*h. Which is the biggest value? (a) -0.3 (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3181cc (base 13) to base 11.\nAnswer: 722877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*i\/(i*i*i*i*i*i**(1\/3)*i*i)*((i*i**(-4))\/i)**(21\/2) assuming i is positive.\nAnswer: i**(-172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 4, -i - 26 = -3*j. Suppose 14 = 2*h + j. Suppose 2*z = -s + h, -6 = -s - 3. Solve 4*t - 5 = 3*c, t + 1 = -z*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (0 - -1 - -2) - (229 - 222).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 21044\nAnswer: -8417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 14*k**2 + 48*k + 112. Determine a(-8).\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344 - 344. Solve 5*h = n + 14 + 6, -h + 5 = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + 6552\/(-45). Calculate the lowest common multiple of 18\/(-108) - u\/12 and 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176042*o = -174161*o + 31977 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10821?\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65951 = -4398*r + 37138 - 15129 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(405) - (1*sqrt(405) + sqrt(405))*-1 - (sqrt(405) + 1 + 1) - ((sqrt(405) - sqrt(405)*-2) + -4 + -2 + -1*sqrt(405))))**2 + 2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-22)\/(-54) + 6\/(-27). Suppose -11 = -4*s + c. Let y be ((-1)\/(-2))\/(s\/18). Solve 0 = -y*a + 9 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -22*a + 15. Let d(s) = 130*s - 90. Let h(v) = 6*d(v) + 35*q(v). Let o be h(2). Solve 9*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 43 = 4*w + 92, 5*w = 3*a - 63. Let v(h) = -2*h - 26. What is v(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 17*q**3 - 7*q**2 + 7*q + 7. Let u(g) = -8*g**3 + 3*g**2 - 3*g - 3. Suppose 3*z = 13*z - 80. Let p be (1 + 13)*(28\/z)\/7. Determine p*u(w) + 3*s(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -3. Let c = -4.95 + -0.05. What is the third biggest value in t, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.171 + 55.329. Let y = r + -127.1. Let t = -85 - y. Round t to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 - 1. Let s be u(-9). Let l be (s - 1) + 1*4. Solve -l*c + 2 + 8 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4970\/254547 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 36*w**2 - 40*w + 113. Let x be s(37). Suppose -3*q = 4*m - 692, x*m - 4*q - 346 = -3*q. What are the prime factors of m?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*6)\/(9\/(-6)). Suppose 0 = -n + 4*z + 23, -4*n + n - k*z = 11. Suppose 0 = -4*p + n*d + d + 240, -2*p - 5*d = -92. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 317 + 2*n - 173 - 165 in the form h + m*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j**2 - 34*j - 13. Suppose -5*a - 7 = 13. Let w(v) = 52*v**2 + 101*v + 38. Let c(u) = a*w(u) - 11*o(u). Suppose c(q) = 0. Calculate q.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 34*g**2 + 114*g + 190. Calculate p(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86110357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 13*t**2 - 11*t**2 + 25*t**2)*(-2*t + 1 - 1).\nAnswer: -2*t**3 - 90*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9983376 and 33696?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, 8.1, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116006467 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 555086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 - 46*r**3\/3 - 86*r**2\/3 - 14*r.\nAnswer: -2*r*(r + 1)**2*(r + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 1032 = -7162. List the prime factors of v.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18805, 18774, 18743?\nAnswer: 18712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*d + 10 = 46, 3*z = -5*d + 8. Solve -z*p = 6*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**4\/12 + k**3\/2 + 9*k**2\/2 + 12*k. Let o be u(4). Suppose a - 4*p - 18 = 0, a = o*a - 3*p - 46. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:13 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3941*g**2 - 4*g + 3937*g**2 + 4*g + 0*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-972)\/(-20) - (-4)\/10. Suppose -5*w + c = -3*g + 20, -6 = 2*g. Suppose -8 = 5*a - 48. Calculate the smallest common multiple of w and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*s = -6, 5*s + 27 = c + 7. Sort 6, c, 0.03, 2\/9 in increasing order.\nAnswer: 0.03, 2\/9, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 2*j + 2 + 4 + 3*j**3 - 6. Let v(s) = -s**3 - 2*s**2 - s. Let w(h) = c(h) + 4*v(h). What is w(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5405*y + 383751. Determine d(-71).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 57. Solve -4*d = -0*d - w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 2*q**3 + 0*q + (1 - 1 - 2*q)*(q**2 + 1 - 1) + 8*q - 8*q - 7*q**3 + (-3*q**2 + 3*q**2 - 2*q**2)*(6*q - 5*q - 2*q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 89*m**2 + 855*m - 209. Determine f(-78).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o + 16. Let g be r(5). Let w be (-13)\/(12792\/1035) - g\/(-4). Let y = w + 366\/41. What is the common denominator of y and -81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 50.6. Let f = -6.7 - 30.3. Let g = -37.1 - f. What is the nearest to g in -1\/4, -4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860150?\nAnswer: 2, 5, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txt when three letters picked without replacement from xxttxxt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z - 94 = 69*z. Suppose 0 = -2*s + 3*c + 35, 0*s - 5*s = -c - z. Solve -5*x = -3*l + s, -2*l - 22 + 3 = 3*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 17*x - 18*x. Solve -o + 19 = -4*q, -7*q - x = -4*q - 2*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*n**6 + 6*n**3 + 2*n**2 + 65*n wrt n.\nAnswer: -10080*n**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/1009321 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, c: 4, j: 3}. Give prob of sequence acja.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -40, -62, -84, -106?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 831899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 1, s: 3, q: 2, x: 5, k: 5}. Give prob of picking 2 s and 1 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -502*d**6\/3 + d**4\/4 - 2177*d**3 - 3974. What is the third derivative of s(r) wrt r?\nAnswer: -60240*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 15*r. Let v(d) = -387*d**2 - 12*d. Give v(w(g)).\nAnswer: -87075*g**2 - 180*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -265116956153 minus -55?\nAnswer: -265116956098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2175 and 23895?\nAnswer: 3464775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62322)\/(-188) + (-6)\/(-4). What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 81833*r - 81820*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 4. Suppose l*x - 36 = -2*x. What is the remainder when 33 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-8 - (8 + -4 - (27 + -11)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16190 and 64\/2517545.\nAnswer: 5035090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 30 = -2*h. Let z(w) = w**2 - 8*w + 12. Let l be z(h). Solve -d - 4*t + l - 3 = 0, 3*d + 4*t = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*s - 16, 6*u - 11*u = 2*s - 6. What is the units digit of 31\/((-25)\/15 - s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*t + 19, 4*t + 8 = -0*t. Suppose q*u + 25 = 8*u. What is the smallest common multiple of 9 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from ddddzdddzd?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l - 201. Let g be i(-25). Which is the closest to g? (a) -1 (b) -2 (c) 3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 - 0\/1. Let w = 6 - s. Differentiate 4*k**3 + 3 + 2*k**4 - w*k**3 wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 3:42 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-339)\/(-2034) - (0 + 7775\/(-6)). Calculate the greatest common divisor of x and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -3\/7, -0.2, 1.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:32 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feaboeesoeoeeoesaa. What is prob of sequence bf?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1693 + 1697. What is the closest to -0.1 in g, -1\/16, 3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71217 (base 8) to base 13.\nAnswer: -1046c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j + 40 = 41*j. Let v be 4*3\/j*(2 + 0). Solve 5*a + v = -k, 4*k - 10 = 3*a - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tththttttttttthttttt?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3897 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -2.22. Let c = -0.02 + m. What is the nearest to -2 in 1\/5, c, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5361 - -5376. Let n(j) = 119*j + 4. Let f be n(4). What is the highest common factor of f and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 2*o)*(184*o**2 + 5*o**2 - 684*o**2) - 6*o**3 + 2*o**3 - 11*o**3.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2821*v + 7*v**2 + 2821*v - 20*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7009, 7008, 7005, 7000, 6993, 6984?\nAnswer: 6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1732, -389, -0.046, -2\/9?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4291, -8721, -13151?\nAnswer: -17581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 2*b**2 + b + 1. Let t(q) = 2*q**3 + 2*q**2 + q. Let m be t(-1). Let k be s(m). What is the closest to -0.1 in -1\/2, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {n: 6, o: 4, h: 3, c: 3, m: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + -81. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4838751 divided by -537639.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*b = 113, 9*f - 6*f - 350 = -2*b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 5 + 1)*(-36 + 98 + 386)*(0 + 0 + m) - 5*m + 4*m + 2*m + 0*m - 5*m + 2*m)*(-m + 4*m - m) to p + d*m**2 + k*m and give d.\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (428*w - 6 + 6 - 85*w)*(2*w**2 - 2*w + 2*w - 3*w + 2*w**2 + 3*w + 0*w + 2*w**2 + 0*w + (5*w - w - 5*w)*(2*w - 5*w + w) + 0*w + 0*w - 2*w**2).\nAnswer: 2058*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-four fifths of a microsecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6821.039 - -6821. Which is the closest to 1? (a) 0.5 (b) 4 (c) f (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15779 = -612*w - 36587 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15 - ((-9 - -17) + -3) - (-1 + 0)) + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1540577*w**4 + 2*w**3 + 4*w**2 - 600558*w - 1 wrt w.\nAnswer: -18486924*w**2 + 12*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -418*g**3 + 50*g**2 + 31*g + 88. Is u(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-157.407\nAnswer: -7.87035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -2) + 5 - -5. Solve -n - y*n = -2*t - 8, 4*t - 28 = -5*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*j*l**3 - 15*j*l - 7*l**5 - 57*l**2 - 3*l wrt l?\nAnswer: -222*j - 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 4 - 1 + 5.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 1\/6, 21.93, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 96651052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -581, 21, 72 in descending order.\nAnswer: 72, 21, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 341*k + 1444. Determine c(-73).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5549, -5554, -5559, -5564?\n\"Answer: -5*k - 5544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 8:38 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 11.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g = -20. Suppose -4*y - b = -5655599 + 36455598, g*y + 5*b = -38499995. What is y rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1 + 7*o**3 + 11*o**3 - 3*o**2 - 17*o**3 - 4*o. What is w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-1 - 6) + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from mrdrwwmmwpddcrc.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -83473 (base 10) to base 14\nAnswer: -225c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/10*12*60\/36. Solve 6*u - q = -8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184452.\nAnswer: 2, 3, 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 3:23 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.572 - 1.428. Sort -0.5, 0, 0.07, -3, i in decreasing order.\nAnswer: 0.07, 0, -0.5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33915 - -33920. What is the third biggest value in 1\/4, -0.3, -0.5, a, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 444 + -434. Suppose -g*f + 3771 = -f. What are the prime factors of f?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -56*y - 14. Let o(z) = -29*z - 8. Calculate -3*n(s) + 5*o(s).\nAnswer: 23*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19916*a**5*f*l - a**3*f - 2*a**2*f*l - 13*a**2*f - 1691*a*l wrt a.\nAnswer: 1194960*a**2*f*l - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*3599.373\nAnswer: -3599.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1016 or 1015?\nAnswer: 1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d + 135*d + 0*d**3 + 2*d**2 - 48*d - 2*d**3.\nAnswer: -2*d**3 + 2*d**2 + 134*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56169?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/25 - 13658*w**4\/25 - 23338082*w**3\/25 - 69809486*w**2\/25 + 139892044*w\/25 + 186377104\/25 = 0. Calculate w.\nAnswer: -3413, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 - 27 = 0, 4*o = 5*z + 37. Suppose o*s = 7*s. Suppose -3*d + 55 = 4*b, 4*b = 2*d - s*d + 50. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(425) + -4 + (sqrt(425) + sqrt(425) + -1 + sqrt(425))*-6 - (-3 + (sqrt(425) - -2*sqrt(425)) - sqrt(425)*2*4)))**2.\nAnswer: -18750*sqrt(17) + 2391250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2\/3 + 404*g\/3 + 1904 = 0.\nAnswer: -84, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejyeeeeyjee. Give prob of sequence eejy.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 755407210 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: Collect the terms in -16 - 440*r + 16 - 160*r.\nAnswer: -600*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 144145014 a multiple of 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-6) - (-92)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 8*y + 5. Let r(q) = q**2 + 3*q - 2. Let j(x) = x. Let i(w) = 6*j(w) - r(w). Let o = -5406 - -5417. Give o*i(b) - 4*p(b).\nAnswer: b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 1)*(-5*z + 2*z + 2 - 3).\nAnswer: 27*z + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 14*d**2 - 18*d - 15. Let n be a(-15). Suppose -2*u + 5*u = n. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m + 4. Give j(-10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/106 + -225\/1378. Let g be 1\/(-1 + 3\/2). Suppose 3*d + 3 = 0, 3 = g*v - 0*v - 3*d. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5424 and 2130728.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249562?\nAnswer: 2, 124781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1082 - -3252. Suppose -a = 38*l - 43*l. Calculate the highest common factor of 93 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/37 in -2\/7, 957, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*n + 20 = -0*l, 0 = -4*l - n + 42. Let b = l + -5. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 2660\/350. Suppose 10*s - 100 = 5*s. Suppose -4*u + h = s. Do u and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f**12)\/(((((f*f\/(f\/f**(-3)))\/f*f)\/f*f)\/f)\/f)**(-3\/16) assuming f is positive.\nAnswer: f**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**7)\/((a\/(a**(1\/5)\/a)*a*a)\/a))\/(a**(2\/31)\/(a**(-6)*a)) assuming a is positive.\nAnswer: a**(-2149\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 12*k + 13. Let z be g(-9). Let r = 131 - z. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 10, -5, 2\/13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-585)\/(-624))\/((-10)\/(-24))*(-2)\/1.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2194 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/21 + 2\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 4)*(-9 + 8). Let a(t) = 3*t**2 + t + 1. Determine a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1201 and 54380.\nAnswer: 53179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331502013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c*x**4 - 228797*c - 45*x**4 - 529*x wrt x?\nAnswer: 12*c*x**3 - 180*x**3 - 529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18638, 75198, 169470, 301454, 471150, 678558?\nAnswer: 923678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + -42 + 37\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**5*n)\/n)*n)\/n**(5\/4) assuming n is positive.\nAnswer: n**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108304688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240471730198 take away -5?\nAnswer: -2240471730193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/5 - 28*h**3\/5 - 24*h**2 - 164*h\/5 - 14 = 0.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0877, 1278, 0.3, -1\/2, -4 in descending order.\nAnswer: 1278, 0.3, -0.0877, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + ((-63)\/21 - 5)\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 23 = 14*u. Suppose -u*l = -l - 2*l. Solve 2*f - 1 - 1 = l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3879*q + 165 = 1933*q + 1935*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 149 + 24 = -5*f, 4*a - 5*f = 225. Let n = a + -56. Let s(p) = p. Calculate s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -635 - -640. Solve 0 = -b + u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220*11130.\nAnswer: 2448600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 5. Let n(s) = 20. Let k(o) = 7. Let u(b) = 17*k(b) - 6*n(b). Let h(c) = a(c) - 5*u(c). Let w(g) = 41*g**2. Give w(h(z)).\nAnswer: 164*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-2\/9)*z))**(-1))**(-24))**(-43) assuming z is positive.\nAnswer: z**(-688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 2, -2\/5, 1, -0.2, 1.09?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12222 (base 3) in base 14?\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 - 20. Let p = 120 - r. Which is bigger: p or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 25 = 48*d - 44*d, -4*k + 12*d = 140 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 = 2. What is the remainder when 59 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*o + 560 + 466 = 0. What is the fourth smallest value in -15, 0.5, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 11*s - 31. Let p be a(6). Differentiate 6 - p*r**3 + 0*r + 0*r + 82*r**3 with respect to r.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 3*n + 3*n + 0*n + 0*n - n + 4*n + 0*n - 5*n - 2*n + 2*n + 2*n + (-4*n + 5*n + n)*(2 - 5 + 4) + 1 + 2*n - 1 + 6*n + 0*n - 2*n - 2*n + 2 - 2.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 14*c + 6\/5*c**3 + 32\/5 + 44\/5*c**2 = 0.\nAnswer: -16\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328847 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.52 - -0.08. Let v = 2 + -1.7. Sort 1\/12, s, v in descending order.\nAnswer: s, v, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-16166894173\nAnswer: -16166894172.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/4793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5391.7 + -5392. What is the biggest value in k, -8\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37458800 to the nearest integer?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.01806909.\nAnswer: 0.007227636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10127)\/1066*1\/(-57))\/((-1)\/(-102))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53209.153 rounded to the nearest 100?\nAnswer: -53200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 39*l = -38*l - 2, -5*r + l - 3 = 0. What is the biggest value in -3, 5, r, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 44*x**2 - 160*x + 192 = 0. Calculate x.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000557336452 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286 + 10\/(-70)*-35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24000 + 108*o**2 - 1631445 - 5670*o - 223*o**2 + 110*o**2 = 0.\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 8*i + 10. Let p be q(-7). Suppose 0 = p*g + g + 24. Let u be (-1 - -1) + (-2 - g). Solve 5*w = k + 14, -5*w + 2 = -2*k + u*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 3244 = -1344. Calculate the remainder when 576 is divided by o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/136 - 2\/34*15. What is the second biggest value in 3\/5, l, -150?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = 647*j - 661*j. Suppose -2*v + j = 3*o + 24, -2*v + 26 = 2*o. Calculate the remainder when 58 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let b(z) = 2*z - 36. Let f(a) = b(a) + 5*k(a). What is the units digit of f(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 - -78. Let u = 64 + f. Let j(d) = -3*d**2 + 7*d**u + d**2. Let m(n) = -3*n. Determine m(j(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-0.3.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*z**3 + 425068011*s*z + 1383068921*s wrt z?\nAnswer: 3*s*z**2 + 425068011*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-2)\/(-12))*(-36)\/(-8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64672.23 decades in centuries?\nAnswer: 6467.223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 - -37?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10465 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 1012. Let v(m) = -m + 3. Determine 5*v(t) + w(t).\nAnswer: -2*t - 997","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -58*b**2 - 17*b - 14. Let r(l) = 21*l**2 + 6*l + 5. Calculate 17*r(h) + 6*v(h).\nAnswer: 9*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let f(w) = -4*w + 8 + 3*w + n*w. Calculate the least common multiple of f(-5) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.3 - -0.7. Let v = b - 16.9. What is the closest to v in 5, 0.04, 0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14661800 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -212733 minus -0.5?\nAnswer: -212732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -603 or -7\/4?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-117))\/(12\/(-24)*(-2)\/(-8))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1000110?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14339 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 7*o - 2. Let w be i(-4). Let x = w - 6. Find the second derivative of -4 + b + x + 2*b**3 wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 15*s + 87. What is the hundreds digit of x(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 6*(sqrt(12) + 1))**2 - 4*sqrt(15)\/(sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5)).\nAnswer: 500*sqrt(3)\/3 + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16602*d**2 - d. Is w(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443.2884 weeks to minutes.\nAnswer: 4468347.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 11*z + 4. Let a(f) be the third derivative of -f**5\/30 + 7*f**4\/8 + 3*f**3\/2 - 5*f**2 - 110*f - 3. What is 4*a(w) - 9*t(w)?\nAnswer: w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26539 greater than 26540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 213669772973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * -8.32.\nAnswer: -407.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by -25?\nAnswer: 133\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 51 = 5*n. Let g = 29 - n. Calculate the remainder when 21 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 812.5\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -10*d. Suppose -r + 6 + 4 = d. Is r != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6. Suppose -2*c + 7 = v. Suppose c*b = -2*u + 6*u + 24, -5*b - u = -63. Solve -b + 4 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 75 = 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169694 + 11?\nAnswer: 1696a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:23 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.98 - 20. Let z = v - -0.102. What is z rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118135932 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:55 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 5, 582?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7362 or -7364?\nAnswer: -7364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5959796 millennia in years?\nAnswer: 595.9796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-1*18)\/((-4690)\/134)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 127*r**2 + 4*r. Let t(z) = -64*z**2 - 2*z. Let s = 43 + -38. Let n(x) = s*t(x) + 2*l(x). Let c(i) = -i**2. Give n(c(j)).\nAnswer: -66*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 2:14 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 45 - ((-2 - -1) + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 6*p**2 - 6*p**2 + p**5 + p**5 + 2*p**5 - 2*p**5 - 4*p**5 + 5*p**5 + 4*p**5 + 0*p**5 - 2*p**5 + (-4 + 3 + 3)*(-p**5 + 2*p**5 + p**5).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - -45 - (-9)\/(45\/20). Calculate the highest common divisor of o and 2816.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10721*y - 418128. What is i(39)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**4 + l**3 + 2 - 5*l**3 - 3*l**4 - 20*l - 4 + 4*l to s*l**4 + v*l + p*l**2 + u + h*l**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -5*y**3\/2 + 20*y**2 + 42*y. What are the prime factors of s(-10)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2874600 and 11\/191640?\nAnswer: 2874600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 + 23*y + 24. Let p be z(-1). Sort -1, p, -17.\nAnswer: -17, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012289 to five dps.\nAnswer: 0.01229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/25 and -38\/15475.\nAnswer: 15475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 12:07 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*l**3 - 908*l**3 + 361*l**3 + 242*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1340 - -1131443?\nAnswer: 1130103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + -0.13. Let f = 8\/5 + -1. Sort m, f, 5, -1\/7 in increasing order.\nAnswer: -1\/7, m, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26675 - -26678. Suppose 5*o = 189 + 656. Calculate the smallest common multiple of o and l.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 2*v + 3*v + 6 - 6 + 3*v + (2 + 2 - 2)*(30 + 93*v - 30) to the form u + a*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4929 + 10520. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 28*u**2 + 62*u + 77. Calculate q(30).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23835\/8 or 2978?\nAnswer: 23835\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91\/2 in 4\/3, 6, -3, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrrarrr. What is prob of picking 2 r?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8338, 8333, 8324, 8311, 8294, 8273?\nAnswer: 8248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*m**2 - 28*m**2 + 44*m**2 + 2 in the form w + f*m**2 + r*m and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/14*-2*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103b (base 14) to base 11.\nAnswer: -28a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 11*f + 6. Let s be c(-6). Solve 0 = -u + 1 - s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.52098688 and 2?\nAnswer: -7.04197376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10229362 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99044?\nAnswer: 2, 11, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 3:53 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119828 = -88*i - 48340 + 164000. What is the highest common factor of 192 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5636 - 3134. What are the prime factors of t?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 2\/7 (c) 0.7 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -122?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.798105 rounded to two dps?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 2. Put -4, v, -10 in descending order.\nAnswer: v, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*t + 6636 = -128*t. Suppose -2*z = q - 206 - t, -3285 = -5*z - 5*q. What are the prime factors of z?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*b - 4*b. Let r = -13 - -73. Let i = r - 22. What is the remainder when i is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 14*n**3 + 48*n**2 + 50*n + 17.\nAnswer: -(n - 17)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = g. Solve 4*s + 8 = -g*x, 2*x + 5 = 5*s + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 10*m - 20. Suppose 3*d - 4*d + 1327 = 4*l, -m*l = -5*d + 6710. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13943321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - c - 3. Let v(m) = 16*m**2 - 4*m - 10. What is -4*v(h) + 14*z(h)?\nAnswer: 6*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 15 - 28*(-9)\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890.029 milligrams in tonnes?\nAnswer: 0.000001890029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3406*b**2 - 1141*b**2 - 1126*b**2 - 1170*b**2.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*i - 4804, -5*i - 4*w - 444 = -6476. Let l = -681 + i. List the prime factors of l.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138864*t + 6256 = 138956*t for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133851, 133883, 133925, 133977, 134039, 134111, 134193?\n\"Answer: 5*q**2 + 17*q + 133829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:20 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 3103 and 3092 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76251645 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y**2 - 592 + 592)*(-24 + 2 - 182 - 19).\nAnswer: -3345*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*p + 14*p = 475. Let q = -1 - -13. What is the smallest common multiple of p and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p**2 - p. Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 6. Suppose 3*v + 2*x = -29, v - 3*x = -r*x - 11. Let h = v - -13. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 2*p + 4, -5*p = 3*j - 22. Let v(k) = k**2 - 2*k + 5. What is the units digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2009694 divided by 48.\nAnswer: -334949\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*h - 27*h + 24*h - 7*h to m + q*h and give q.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/9446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6666?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*p)*(-1 - 3 + 5) + 5*p - 7 + 7)*(-2*p**3 + 1 - 4*p**3 - 2*p**3 - 2*p**4).\nAnswer: -6*p**5 - 24*p**4 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -7, -11\/3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/m**(-6)))*m*m\/m**(-3\/5)*(m*m**2)**3 assuming m is positive.\nAnswer: m**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1306261 and 372.\nAnswer: -485929092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.079193 - -8.84?\nAnswer: 6.760807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 61*b + 56*b - 17520, -q + 5840 = -3*b. Is q a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*m - 605*m + 112*m**2 + 245*m + 177*m.\nAnswer: 112*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 6*s = 3*s - 19, s + 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7902, 7892, 7882, 7872, 7862?\n\"Answer: -10*x + 7912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f - 7314 = -761*f + 9200 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -309740\/3 - -103260. Determine t, given that -1\/3*t**5 + 0 + 100\/3*t + d*t**2 - 10\/3*t**4 - 7*t**3 = 0.\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 3*w - w**3 + w**2 - w**2 + 1 + 5. Give i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071066*l**2 + 1071065*l**2 - 1 + 5*l - 5*l - 2142130*l**2 + 1.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389537\/143584 + 26\/4487. Calculate the common denominator of 0 + 53\/8 - 1 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/187 - -223\/3366. Are 1 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 72, 127, 156, 159, 136, 87?\n\"Answer: -13*v**2 + 94*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p. Suppose -2*z + 5 - 3 = p. Sort z, 2\/23, 4.\nAnswer: 2\/23, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4057420 and 7303356.\nAnswer: 36516780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18456 + 18455.9966004. Round y to five decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 + 33. Let v(i) = -2*i**2 - 13*i - 92. Determine -2*c(a) - v(a).\nAnswer: 2*a**3 + 13*a + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 187 in -5, -25\/13, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*q - 5 + 790 = 246 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5.52, -96 in increasing order.\nAnswer: -96, -2\/7, 5.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + 2*y**3 - 6*y**3 - 4*y + 2*y**3 + 4*y + (y**2 + 2*y**3 - y**2)*(-2 + 2 + 2).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -463 - -289. Let x = -170 - v. Solve 7*z = 5*z + x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.018 greater than or equal to 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 + 129. Let b = s + 232. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 6*j - 19. Let d be m(8). Let x be d\/(-6)*(-2)\/9. Let o = -1.6 - -4.6. Which is the biggest value? (a) x (b) 3\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5881097486822 minus 0.03?\nAnswer: -5881097486822.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 4*l + 1. Let j be q(-3). Find the first derivative of k**2 - j + 3 + 2*k**2 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1448 and -51\/10?\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -52.2. Suppose 3*t = 15, 2*i + 2*t + 8 = 5*i. Which is the second smallest value? (a) i (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378015 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*z, -2*f - 2 = -4*z + 10. Let l(y) = 5*y**3 - 3*y**3 - 4*y**f - 3*y**3 + 3. Calculate l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -33*u - 3. Find the common denominator of u\/(10\/64) - -1 and 5\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 4. Let h be i(-8). Suppose 0 = -q - 4*n - 6, -h = -q + n - 0. Let l be (-4)\/(-4)*q*-1. Sort -1, l, 3 in decreasing order.\nAnswer: 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192995 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c9c + 13a?\nAnswer: -1b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 54, 0.2, -9, -1.5, 4.\nAnswer: -9, -1.5, -1, 0.2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383291742 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5589 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 12 + 8, h - 46 = -5*f. What is the remainder when 19 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -80\/3317?\nAnswer: -80\/3317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 31.6. Let f = -5 - -8. Let u be -1 + -1 + f\/2. Which is the nearest to 1? (a) i (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*t - 506*t - 3624 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39857218 is divided by 19928587?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 71130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115325177 and 341?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5470.218 + -5455. What is i rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2. Let j = 14 + -8. Suppose -2*n - 8 = -j*n. Let d(b) = -b**n + 2*b**2 + b**2. Determine d(x(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -4*w - 150. Let c = 0 - w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000605326 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*z + 41, -22*d - 3 = -26*d + 5*z. Let a = 51 - 39. Solve 2 = -d*c - a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34*(-5)\/(-20))\/((-9)\/(-18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(10\/40) + (4 - -17). Suppose -x = 3*x + 484. Let z be 1 + (-2 - (1 + x)). What is the greatest common factor of z and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = 22*v - 528. Suppose -v*i - b = -16*i + 20, -i - 3*b - 12 = 0. Solve 11*h + i = 14*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 16099, -13.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t + 2*t - 371 = 819 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 38*m + 34. Suppose -5*y + 30 = 2*h, -17 = -h - 2*y - y. Calculate the greatest common factor of m and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(282 - 805 + 16374*a + 272 + 29931*a + 251) to the form s*a + u and give s.\nAnswer: -46305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvhhvvh. Give prob of sequence vv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 12. Let z(g) = g - 9. Let m be z(t). What is the units digit of -1*2*(m + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j + 3*j - 82*j + 2*j + 12*j + j - 5*j + 2*j - j - 5*j + 4*j + (-j - 4*j + 3*j)*(1 + 1 + 0) + 3*j + 6*j - 4*j)*(4*j**3 + 0 + 3 - 5*j**3).\nAnswer: 70*j**4 - 210*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*o + o**2 - 14 + 14 in the form f + p*o + l*o**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 - 6*c**2 + 21*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 2*r + 2. Let z be x(-2). Let i = 145 + z. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-9))\/((-15)\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 35 = 13. Which is smaller: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7644966*i**2 - 544651*i?\nAnswer: 15289932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 13, 0 in increasing order.\nAnswer: 0, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 55177, -1\/3.\nAnswer: -283, -1\/3, 55177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 259420138*c*d**2 - 6056352*d**2 - 5*d wrt c?\nAnswer: 259420138*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 + 11*v + 4. Let h be r(10). Suppose 2*s - h = -3*b + b, 2*b - 2 = 0. Let f(l) = l**3 - 6*l**2 + 8. What are the prime factors of f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1447 and -905.\nAnswer: -1309535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g\/g**(-5))\/(g**(-2)\/(g\/(g\/((g**(2\/19)*g)\/g*g*g)))))\/((g**2)**(-31)\/(g*g\/(g*g**(-5))*g**1)) assuming g is positive.\nAnswer: g**(4528\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252419719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fijj when four letters picked without replacement from jgjjifgjf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fyyfysr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 12*g**2 - 2. Let y be j(2). Let h = y - 26. What is the units digit of 2\/(-5) + 168\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**2 - 9*b - 1458. Let d(a) = 7*a**2 + 5*a + 726. Give -7*d(g) - 4*o(g).\nAnswer: 3*g**2 + g + 750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*w - 1290*w + 308*w + 297*w + 277*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*p**2 + 3*p**3 + 104*p**2 + 102*p + 39*p**2 wrt p?\nAnswer: 18*p + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 10. Suppose 4*h = h + o. Let g = -251201\/13 + 19323. Which is the second smallest value? (a) h (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80235191?\nAnswer: 61, 89, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*z + 888 = 11*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/4)\/(1\/4). Let u(g) = -5 + 6 + g**2 + 4*g + x. Suppose 8*j = -5*f + 4*j - 11, -2*j = -f - 5. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418500 rounded to the nearest one thousand?\nAnswer: 419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i - 14*i - 18*i)*(0 + 8 + 36).\nAnswer: -396*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*f = -s + 6, 0 = 5*f - 20. Let u be 2\/(-6)*-3 - s. Let a(o) = -8*o - 2. What is the units digit of a(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 201. Suppose -68*t = -61*t - 2912. Let a = z + t. What is a rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103627 is divided by 297.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 582 + -231. Suppose -4*f = 31 - j. Suppose -5*z + 5*i = -f, -5*z + i = 4*i - 40. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2745056 divided by -3.\nAnswer: 2745056\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/2 - 125538558*j**3 - 2626654924119894*j**2.\nAnswer: -3*j**2*(j + 41846186)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 913556 by 1.\nAnswer: 913556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7445 + 7847 = 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1844 divided by 4.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83 + -17?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*d**5 - 1231*d**4 - 5850*d**3 + 144*d**2 = 0 for d.\nAnswer: -3, 0, 6\/245, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - 10) + -59 - (-30 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 1\/4, 0, 0.003119 in increasing order.\nAnswer: -2, -0.3, 0, 0.003119, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6654*s - 8118*s - 624 - 1591*s + 624.\nAnswer: -16363*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*f - 19 = -5, -f + 26 = 2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*20\/(-15). Let u(p) = 3*p**2 - 2*p**z + 3 - 6 + 2. Let s = -2199 + 2200. Calculate u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 13*m = 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2296 = -9*c. Suppose -s - 167 = -c. Let y(g) = g**3 + 3*g**2 + 2. What is y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (0 - -1)*-8. Let l(h) = h**2 + 11*h + 9. Let c be l(o). Let p be 0 - 0 - (-5 - c). Solve -3*u = j, -p*j = 2*u + 2*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 + -0.04. Let q = o + 0.6. Let p = 69 + -68. Sort 3\/2, p, q in ascending order.\nAnswer: q, p, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(14\/8 - 2). Is (32\/(-12) - -2)\/(x\/84) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5139 divided by -5139.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 2204 + 4726. Calculate the greatest common divisor of 35 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 7*l + 7. Let y(q) = -q**3 + 22*q**2 + 22*q - 1. Let w be y(23). Let x = -5 + 7. Let m be ((-3)\/(-6))\/(x\/w). What is a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*z = z, 0 = -4*t + 4*z. Suppose t*v - 212 = -4*v + 5*r, 2*v - 106 = r. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*y - i, 11 = -5*y + 3*i - 0*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3818193, 3818056, 3817919, 3817782, 3817645?\n\"Answer: -137*c + 3818330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**2 - 3*h**2 + 17*h**2 + (-3 + 1 + 1)*(2*h**2 + 1 - 1 + (-h + 2*h - 2*h)*(3 - 3*h - 3)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151 (base 6) in base 14?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**4 - 11964*n**3 - 8269884*n**2 + 1032445676*n + 4261336176 = 0.\nAnswer: -1549, -4, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 29*u**3 + 2*u**2 + 3*u + 3. Let b(r) = 25*r**3 + r**2 + 3*r + 4. Determine 2*b(d) - 3*g(d).\nAnswer: -37*d**3 - 4*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*c - 33100, w + 22067 = -c + 3*c. Suppose 2*s + 2*d - 7502 = 0, -251 = -3*s + 5*d + c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2426 or 2422?\nAnswer: 2426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 707.038 milligrams?\nAnswer: 707038000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (65\/52)\/(2\/(-32)*-1) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5633308.\nAnswer: 2, 29, 48563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/725 - 2398553\/7975. Let i = -301 - q. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 4.9. Suppose -3*o + 0*o - 3*z = 3, 4*o - 4 = -2*z. What is the closest to o in t, -4, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*o**3 + 68*o**3 - 359*o**3)*(5 - 2*o**2 - 5) - o + o + 4*o**5.\nAnswer: 714*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:38 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.617 and -10.\nAnswer: -46.17","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**2 - 1228 + 601 + 504 as w + m*i + o*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4073472 and -115\/444.\nAnswer: 150718464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 187713 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 444461275.65+15\nAnswer: 444461290.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/3)\/6*(-2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - (-22)\/(-33). Suppose f = -4*i - 5*z + 34, -15 = 2*i + 5*z - 37. What is the first derivative of -5 + 0 - 13*p**2 - i wrt p?\nAnswer: -26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978545 is divided by 180.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/3*(-80)\/24.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162747*q*r**3 - 8*q*r**2 - 991*r**2 wrt r.\nAnswer: -976482*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 1856*i + 1291776.\nAnswer: 2*(i + 1392)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - -67. Suppose 6*k = j - 35. Calculate the common denominator of 84\/(-10) - (-3)\/(-6) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465305 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 481? (a) -3 (b) -5 (c) 1.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7098*a**2 + 3105*a**2 - 16534*a**2 - 2202*a**2.\nAnswer: -22729*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 9, 1, -19, -57, -119?\n\"Answer: -l**3 + 3*l**2 - 4*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 61 - 138 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s + 16*s + 15*s to b*s + x and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 7, 3\/16, 14, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4119903, 8239806, 12359709, 16479612, 20599515, 24719418?\n\"Answer: 4119903*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1215))\/(sqrt(720)*1) - (-3 + sqrt(75) - ((sqrt(300) + 1)**2 + sqrt(300))).\nAnswer: 103*sqrt(3)\/4 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10534 and 73\/44.\nAnswer: 231748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/16 bigger than -164754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, 2.64, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**4\/24 + t**3\/6 - t**2. Calculate the remainder when 3 is divided by a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 50*u**3 + 96*u**3 - 59*u**3 + (0 + 0 + 2*u**2)*(-4*u + 4*u - 2*u))*(-3*u + u + u) as l + t*u**2 + c*u**3 + f*u + d*u**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37271.7 * -43\nAnswer: 1602683.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2)*z*z\/((z\/(z\/(z*z**(-23))))\/z*z) assuming z is positive.\nAnswer: z**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let g be -24*(x - 24\/9). Let q(w) = w**3 - 17*w**2 + 16*w + 21. List the prime factors of q(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4, 3*o + 3 = 2*s - 5*s. Put 100, -3, s in decreasing order.\nAnswer: 100, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = -2*t - 3*b, 5*b + 10 = -t. Let m(j) = -2*j + 5. Let h(v) = -v + 3. Let q(x) = 5*h(x) - 2*m(x). Give q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -358, -718, -1078, -1438?\n\"Answer: -360*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 170697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (0 - -2) - -13. Suppose -2*b + 652 = -2*a + b, -2*b = 0. Let i = a + 469. Calculate the greatest common divisor of i and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - 210.74. Let u = -210.341 - s. Round u to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 5*p**2 - 7. Let w be 50\/(-4)*32\/(-40). Let d = -15 + w. Give t(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10391480 and 56430.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -465*n - 6948. What is j(-15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-12) - (-14)\/4. Suppose 8 = -g*u - u. Let c(a) = -a**3 + 4*a**2 - 5. Let y(r) = 3*r**2 - r - 4. Let w(f) = 2*c(f) - 3*y(f). What is w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 500. Suppose -5*y = -3*v + 308, 0 = 4*v + 3*y - 8*y - h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76706, 76697, 76676, 76637, 76574, 76481?\nAnswer: 76352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 582 and 1552?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 b when three letters picked without replacement from obbeeoeeeobedzpbzo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 16*f - 10 = 0. Is 4 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (942\/(-2826))\/(52\/(-6))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 8, z: 8}. What is prob of picking 1 g and 1 z?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 10.1.\nAnswer: -11.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*i - 46 = -2*h + 21 - 9, -221*i = -3*h + 2761 - 9842 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11451534 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 76*c**2. Let q(n) = -92*n - 98. What is q(w(p))?\nAnswer: -6992*p**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.731 at most as big as -0.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 1086079.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 138378192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/(3\/8). Suppose -c*o + 662 = -9*l + 12*l, 670 = 3*l + 2*o. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -173516?\nAnswer: -173514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10733 + 10933 = -25*n. Let t(o) = 75*o**2 + 11*o + 2. Let q(m) = -50*m**2 - 7*m - 1. Calculate n*q(z) - 5*t(z).\nAnswer: 25*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16297 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.6 and 38.\nAnswer: -478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*o = -8, -4*t - 5*o = -2*t - 16. Suppose -1 = j - 2. Calculate the remainder when j is divided by (t - (-5)\/3)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from ooeoqehheeq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 3*d - 1. Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhfcbfbcfbbb. Give prob of sequence ffb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 38*n**2 - 68*n + 8. Let t be b(17). Solve 2*a + 0*a - t = 0, j + 7 = a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 + 31*v**3 - 77*v**3 + 12*v**2 + 32*v - 60*v**2 + 4*v**4 + 38*v**3 = 0 for v.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00169666 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3 - 8104*x**2 - 72810*x - 145548 = 0.\nAnswer: -4043, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-31)\/(-6))*(-4)\/(-100)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011584 is divided by 668.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 4*l + 4. Let a be g(5). Let c be (2 - (a - -2)) + 5. Suppose c*x - 36 = 3*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 5*v**3 + 3*v + (v**2 - 8*v**3 - v**2)*(0 - 3 + 1) + v**3 + 7*v**3 - 5*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*c, -3*s + 11 = 5*c - 4*c. Let p(q) = 1 + 4*q - s*q + q. What is the tens digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123022 (base 4) in base 9?\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9153 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*p = -0*m + 2, -p + 18 = 5*m. Suppose 5*v - 215 = -3*f, m*f - 4*v + v = 277. Let q be f\/28*(5 + -1). Solve q - 1 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2160, 3729, 5308, 6903, 8520, 10165?\n\"Answer: g**3 - g**2 + 1565*g + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*s + 5 - s - 7)*(-2*s**3 - 5*s**3 + 5*s**3) + s**4 + 0*s**4 - 3*s**4.\nAnswer: -70*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3 + 24*i**2 - 165*i + 544. Differentiate g(j) with respect to j.\nAnswer: 6*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67 + 55*l**4 - 163 - 22*l**4 wrt l?\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 5*n - 8*n + 110 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-45)\/(-10))*-92211. Suppose -8*o - 5234 = -y. Round o to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4)*(-8 + 5 + 9*r**3 - 5*r**3) + 2 - 2 - 2*r**3 to m + u*r + t*r**2 + d*r**3 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 452 - -148. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/364*21\/(-27). Sort j, -4, 37 in decreasing order.\nAnswer: 37, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w + 1795 = 713 + 257 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from kakyqyaayyykkakya?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(117*l**2 - 174*l + 174*l).\nAnswer: 234*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*j + 3*j, 0 = -3*q + 5*j + 16. Let h = -208 - -1043\/5. Sort h, -1\/7, q in decreasing order.\nAnswer: h, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*4*(-4)\/(-16). Solve y - a*y - 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1924, 3163, 5230, 8125, 11848?\nAnswer: 16399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -20, -59, -124, -221?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 0.4, -0.2, -3\/2, -0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 20 - 3*m + 19*m - 59. Let p be 3*(-2)\/18*-24. Is 21 a factor of c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 935\/35 + (-2)\/(-7). Let r = b - 5. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.758523 to 3 decimal places.\nAnswer: -3.759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20619111?\nAnswer: 3, 6873037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*l + 5 = 0, -4*l - 19 + 7 = 0. Sort 5, 0.7, 3, -6, c in decreasing order.\nAnswer: 5, 3, 0.7, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 times 0.035\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l - 2*p = -1, -4*l - 4*p = -32. What is the nearest to -1 in l, -1\/3, -0.06?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 + 228664*f - 2514820 = 0?\nAnswer: 11, 57155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 33. Suppose 0 = -3*d - 18 + i. Is (-9)\/(-15)*(43 - d) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/((-91)\/(-21))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.129 (b) 11 (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1.22506.\nAnswer: -0.122506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25951 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.54 + -2.497. Put x, -4\/7, -2 in decreasing order.\nAnswer: x, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/36 and 61\/1062?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 2 + 10374\/(-28))*2. Let f = 755 + w. Solve f*m = 6*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 16. Let v = i - -36.2. Let a = v - 5.1979. What is a rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101100101101001001 (base 2) to base 6.\nAnswer: 32440345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51\/2 + 155\/6. Which is smaller: -10\/3 or j?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.37 (b) -3\/2 (c) 10.40883\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -34\/7, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - -3 - (-1 - 5). Let y be 10\/r + 1\/(-2). Suppose -d + y = 0, -a - 4*a + d + 73 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.59 - -2.69. Let f = 1 + -1. Suppose 4 = z - f. Which is the nearest to -0.3? (a) z (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101 (base 4) to base 8.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 296802, 593361, 889418, 1184721, 1479018, 1772057?\n\"Answer: -42*s**3 + s**2 + 296850*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)*o*o*o\/(o\/(o**8\/o)))\/(o\/(o*o**(1\/2)))**9 assuming o is positive.\nAnswer: o**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 137, 455, 933, 1571, 2369?\n\"Answer: 80*w**2 + 78*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = g, -4*g - 15 = -5*n - g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pupkupp. What is prob of sequence up?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143 + -148)\/((-8)\/((-112)\/98) + (-668)\/94).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4.7. Let z = d + 0.4. Is z != 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -16031?\nAnswer: -2\/16031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 320564 (base 7) to base 14\nAnswer: 16334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 13948*o + 13948*o - 22*o**2)*(4 + 0 - 1).\nAnswer: -66*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 8*p**2 - p**3 + 5*p**2 - 4 - 15*p**2. Let u be k(-3). Solve 5 = -u*c + 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*n**5*y + 2*n**5 - n**4 - 2*n**2*y + 7*n**2 + y wrt n.\nAnswer: 1320*n**2*y + 120*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -1279, -1955, -2631, -3307?\nAnswer: -3983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1224*u**2*z**3 - 6302*u**2*z - 40*z**4 - 3*z**2 + 108*z wrt z?\nAnswer: 7344*u**2*z - 480*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 11) + -11 + (0 + 0 - 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3, 408 in descending order.\nAnswer: 408, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195140 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1022328 and 340776?\nAnswer: 1022328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 + 5. Let t = 0 - 6. Let p(r) = -9*r**2 + 2*r + 1. Let l(z) = -15*z**2 + 4*z + 4. Let h(g) = -3*l(g) + 6*p(g). Determine t*h(q) - 7*m(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (32\/48)\/(2*(-2)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 3\/(1 - -2). Let k = 6 + -2. Suppose -3*r - 1 = -j, 0*j + k*j = -r + 17. What is the greatest common divisor of g and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f7 + 3?\nAnswer: -6f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92371, 92313, 92255, 92197, 92139?\nAnswer: 92081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.3541723 to one dp.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-2) + 1\/2. Let c be (d\/15)\/((-9)\/6). Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3413*q - 229. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 74798 + 133830 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -602802*k**5\/7 - 1203408*k**4\/7 + 431200*k**3 + 3605828*k**2\/7 - 13166*k\/7 + 12\/7 = 0.\nAnswer: -3, -1, 1\/549, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 51. Let r = -0.04 + 2.04. Let h = -0.3 - -1.3. Which is the nearest to h? (a) z (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*j - 81 + 175*j - 62*j - 62*j - 6*j - 2*j**2 to the form s*j + r + q*j**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 48*j - 684 = 0. Let p be (-1386)\/j + (-4)\/38. Solve 3*u - 6 - 6 = 2*g, -2*g + u - p = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z - 122. Let g be r(9). Solve 0 = -g*c - 5*o - 25, -4*c - 4*o + 21 = -9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08924 less than 0.5?\nAnswer: 0.41076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-90 - 4)*-3. Suppose -y - 2*y = -o. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2049167 and 3.4?\nAnswer: 6967167.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 14*a + 3. Let h be q(-14). Let f be h*(-3 + 39\/9). Put f, -2, -1 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let v = 79 + -73. Calculate c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*s + 15, 3*s + 15 = 5*c + 5*s. Let i(l) = l**2 - l - 1. Let o(f) = 4*f**2 - 4*f - 4. Let n(g) = -9*i(g) + 2*o(g). Let k be n(c). Is 1\/6 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*i + 25, 18*i - 15*i = -3*s - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1074773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1502\/45 - 168\/5. What is the nearest to -1\/3 in n, -0.5, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.91, 2\/7, 1\/31 in ascending order.\nAnswer: 1\/31, 2\/7, 0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 4*u**3 + 61 - 113.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305998 divided by 6?\nAnswer: -384333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144372 - 33749 = 2267*g - 77538 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95.2 - 5.2. Let h = 188.37 - 97.56. Let c = h - a. What is c rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 8)*(-40)\/(-60)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298611?\nAnswer: 3, 33179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.14 (b) 0 (c) 1\/4 (d) 1114\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 749834323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2962472539 to the nearest integer?\nAnswer: 54429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1002, -1995, -2992, -3999, -5022, -6067, -7140, -8247?\n\"Answer: -c**3 + 4*c**2 - 998*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-97)\/(-291))\/((-112)\/72).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -158*j**7\/3 - 14*j**3 - j**2 + 877*j. Find the second derivative of p(t) wrt t.\nAnswer: -44240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (-2 - -2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199 - 199. Solve y = 11*c - c + 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (2 - 7)) + (-6 - 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o + 4. Let l = 2 + -2. Suppose -48 = -5*i - q - 0*q, l = -i - 2*q + 6. What is the lowest common multiple of i and h(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-15) - 1)\/2. Let z be (-18)\/(-24)*8\/21. Which is the nearest to 1\/2? (a) z (b) l (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1833\/247*(-1957)\/(-309).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k**2 + 9*k - 13. Give h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*v = -3280*v - 44904 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 3*y**2 - 4*y**2)*(2*y - 3*y + 2*y)*(2*y - 5*y + 2*y).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*q + 2*w, -4*q + 2*q + 88 = w. Suppose 4*z - 6*z + 30 = 0. Calculate the greatest common factor of z and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - 1) + (28 - (-26 + 67))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) 113 (c) -15\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149050840 by -562456.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5\/7)*h**(-2\/13)*h*h\/(h*h*h**(-17)*h)*h*h*h\/(h*h**(-8)) assuming h is positive.\nAnswer: h**(2287\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -23*d + 18*d. Solve 5*h - 21 - 1 = -j, 0 = d*j + 2*h + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -3*a - 3630. Suppose 2*m + r - 397 = -22, -a = -m + 4*r. What is the highest common divisor of m and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 6*b, -5*n = -5*b. Suppose -16*k + 14*k + 1116 = n. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -9*x**7\/14 - 8*x**6\/5 - 3*x**5\/4 + x**4\/2 + 15*x. Find u such that l(u) = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1978\/9, 4\/13, -4\/5, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*u + 25, -u + 3*j - 3 = 3*u. Let b be (u\/12*-3)\/((-6)\/72). Solve 4 = h + b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115389515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30170387*q**4 + 27217856 with respect to q.\nAnswer: -120681548*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**3\/6 - 4*f**2 - 30*f. What is s(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-350)\/21)\/(-25)*5*3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)**(3\/8)\/(w*w**(-2\/3)*w*w**(-4\/3)*w))\/(((w**(2\/3)\/w)\/((w\/(w*w\/(w\/(w*w\/(w**(-5)\/w*w*w)))*w)*w)\/w*w))\/(w**(-5)*w**6)) assuming w is positive.\nAnswer: w**(-127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + (-1 + 7 - 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9254, -18513, -27772, -37031, -46290?\n\"Answer: -9259*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -o + 105. Let d(h) = -h**3 - h**2 + h. Let t(m) = 2*m**3 - 12*m**2 - 4*m - 2. Let p(x) = -3*d(x) - t(x). What is p(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 + -842\/3. Which is the second biggest value? (a) -1\/3 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77874 or 78009?\nAnswer: 77874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -12 + 4. Let b(q) be the first derivative of 2 + 3*q + 2*q**2 - 4*q - 3*q**v. Differentiate b(i) with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*l + 15, 2*u + 28*l + 1 = 29*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + 2087a?\nAnswer: 20840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4 - 10. Suppose -5*n = 4*a - 35, 5*a = a + h*n + 14. Solve 0*y = 3*y - 5*s, 4*y - a*s = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 12*n - 8. Suppose -7*u = -4*t - 2*u + 31, 2*u = 2. Let s be q(t). Calculate the highest common factor of 133 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38717318*w**2 + 460083914*w.\nAnswer: -77434636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.573911 hours to milliseconds.\nAnswer: 16466079.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 693100 divided by 138620\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -102, -93, -80?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + ((sqrt(162) + 4*(3 + sqrt(162)) - (5 + sqrt(162)*4)) + -4)**2.\nAnswer: 54*sqrt(2) + 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3149 + 3153. Which is the second biggest value? (a) -0.04 (b) -2\/7 (c) p (d) 0.1 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 9)*-1*9. Let l = z + 11. Is (2\/l)\/((-5)\/(-1465)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3005*a. Let j(r) = -6*r**2. Calculate f(j(o)).\nAnswer: 18030*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*t - 1983, -9*t = -4*t + 5*u - 3275. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 9*y - 7. Let l be s(-5). Let i = 183 - 182.5. Which is the nearest to l? (a) 4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-15\/2)\/o)\/o)\/o**(-10))**(-17\/3) assuming o is positive.\nAnswer: o**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.9 and 55288.\nAnswer: 2371855.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 462*g**3 + 69*g - 5 wrt g?\nAnswer: 2772*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*m + 214*m = 429*m - 180. Suppose 0 = 3*z - 3*u + 132, -z - 5*u = 4*z + 260. Let g = z - m. Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*t + 0*t**2 - 31*t**2 + 4*t**3 - 14*t - t**2 + 19*t.\nAnswer: 4*t*(t - 7)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 3173, 3, -1, -0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 11, -195\/196 in descending order.\nAnswer: 11, -195\/196, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s**3 - 2*s + 1. Suppose -6*u = 4*d - 2*u + 8, -5*d = -2*u - 11. Determine g(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/4 - 5725*a**2\/4 - 8605*a\/2 - 2870.\nAnswer: 5*(a - 1148)*(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -9, -27, -371 in increasing order.\nAnswer: -371, -41, -27, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1030*j + 42 - 890*j + 42 - 84 - 92*j.\nAnswer: -2012*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgppppgp. Give prob of sequence gp.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118751 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let d(c) be the third derivative of c**5\/20 + 2*c**2. What is -4*d(p) + 14*f(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45760, 87155, 128550, 169945?\n\"Answer: 41395*h + 4365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14357*b - 2*b**2 + 3*b**2 + 11 - 14365*b. Let l(w) = -23*w - 106. Let s be l(-5). Give u(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2018980.8 months to decades.\nAnswer: 16824.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 + 10*q**3 - 8*q**3 - 3 + 18*q**2 in the form k + g*q**2 + n*q**3 + y*q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -280, -560, -838, -1114, -1388?\n\"Answer: r**2 - 283*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 22356 + (-3 - (1 - 2)). Let s = 15323 - n. Let o = s + 154683\/22. Calculate the common denominator of 119\/20 and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = k + 1360. Let v = 11950\/7 + k. What is the common denominator of v and 70\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 + m**3 + 3 + 14*m - 14*m - m**3 + m**3. Let c(d) = -d**3 + 3*d**2 + 3*d - 3. Let o be c(3). Let y be u(o). Solve 0 = n - y - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1. Let v = 853\/3192 + -30\/133. Let d(r) be the third derivative of -1\/2*r**3 + 0*r + 19*r**2 + 0 - v*r**4. What is -d(p) - 4*j(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170*y - 23652 = 1097*y. What is the highest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i\/(i\/(i*i*i**(-2\/29)))*i*(i*i\/(i*i\/i**14))\/i*((i\/(i\/(i**0*i)))\/i)**(-18) assuming i is positive.\nAnswer: i**(549\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010850 = -7*g + 24*g + 6*g. What is the greatest common factor of 150 and g?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*h*x**2 + 5*h*x - 19*h - 396*x**2 - 10*x + 1 wrt x.\nAnswer: 334*h - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 60, 265\/61?\nAnswer: 265\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1 + 7*m**2 - 3*m**2 + 6*m**2 to the form c*m + k + t*m**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1487, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2, 3\/45116, -29?\nAnswer: 3\/45116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + -5*2*sqrt(108))*5 - ((sqrt(108) + 0)*-5 + 3)) + -1 + 0)**2*-1.\nAnswer: -172816 - 1920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.24. Let n = -16.06 + i. Let s = -15.9999985 - n. What is s rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-18) - 93\/(-54). Let g = 3753 - 3751. Factor 98\/9 + 28\/9*s + u*s**g.\nAnswer: 2*(s + 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -21. Let l be (-9)\/w - (-2)\/(-11). Let v = 8.1 + -1.1. Which is greater: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = -14. Let n be u\/27*-6*(-15)\/10. Is 50\/(-75)*(-99)\/n a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.5. What is the third biggest value in -3\/5, y, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4) - 1 - 1. Suppose -4*c = c - 20. Let m = c + -7. Sort m, s, -0.2 in decreasing order.\nAnswer: -0.2, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpeofcp. What is prob of picking 1 e and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 542*r - 35420.\nAnswer: -2*(r - 161)*(r - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17634521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5411 + -2?\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1421*j. Let h(r) = 30*r. Determine h(n(b)).\nAnswer: -42630*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/12 - 3*m**3\/2 + 17*m**2\/2 - 40*m + 3. Give a(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 6*r + 3\/7*r**3 + 0 - 2*r**2 + 1\/420*r**6 + 5\/28*r**4 + 1\/30*r**5. Find t such that m(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29645983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -8 - (-7 + -67 + -2)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 28. Which is the biggest value? (a) 5 (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20369, 162740, 549169, 1301684, 2542313, 4393084, 6976025?\nAnswer: 10413164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-9))\/(2\/(-3)) + 0. Suppose -6*z - m*z = -0*z. Solve -3*d + 3*h + 3 = 0, -3*d + 5*h + z*h + 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312 - -312. Solve -4*j - d - 19 = w, -2*j - 13 = -0*j - 3*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 61155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 1179*v - 2370.\nAnswer: 3*(v - 2)*(v + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -2*g + 79 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822344996.\nAnswer: 2, 23, 30677663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 20. Suppose 0*j + 4*j - 8 = 0. Suppose j*b = -3*d + 11 + 5, -b = -5. Calculate the remainder when n is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 6*v + 4. Let b be l(-6). Suppose 3*y - 8 = b. Differentiate 19 + y - 15 + 3*q**2 with respect to q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 4 = -34*t - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 11*y**4\/4 + 13*y**3\/6 + 25*y**2 - 17*y - 1. What is the hundreds digit of a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2)\/a**(-6))\/(a\/(a**(1\/5)*a*a)*a)**36 assuming a is positive.\nAnswer: a**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 0*r)*(-2 + 0 + 4)*(-r**2 + 8*r**3 - 8*r**3 - 2*r**4).\nAnswer: 16*r**5 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2496591, 2, 4, -4 in increasing order.\nAnswer: -4, 2, 4, 2496591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971895353.\nAnswer: 11, 13, 19, 31, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 230?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -233, -195, -157?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 508 = -s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.837 - 3025.663. Round q to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065998 divided by -3?\nAnswer: -688666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00274981 rounded to 4 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508164637 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 88 (b) -2032.2 (c) 180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/20 + 379*g**5\/20 + 189*g**4\/8 - g**2 - 1914. Suppose z(o) = 0. Calculate o.\nAnswer: -189, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148453.5357 and -50.\nAnswer: -148503.5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 2) + 4\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(-1 + sqrt(468) + 2 + 2) - 1*(1 + sqrt(468) + 0 + 3*2*sqrt(468) + sqrt(468)))**2.\nAnswer: -408*sqrt(13) + 2159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 693, 1419, 2145, 2871, 3597?\nAnswer: 4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (0 - -5 - 27)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757614?\nAnswer: 2, 3, 11, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 2 + 5 + 5 + 1 + 2 in the form q*v + j + g*v**2 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**4 + 2*j**3 + j**2 - j - 1. Let o(d) = 162*d**4 + 5*d**3 + 4*d**2 - 153*d - 4. Let a(i) = -4*g(i) + o(i). Find the second derivative of a(r) wrt r.\nAnswer: 1896*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 562 = 9*f - 8*f, 2*s - 2234 = -4*f. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 331 and 27075469.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**2 + 2*y - y**3 + 32*y**4 + 37*y**4 - 70*y**4 to the form t*y**3 + k*y**4 + c*y**2 + g + u*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q**2. Let w(m) = 3*m**2. What is n(w(u))?\nAnswer: 126*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196113 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*i**4 + 112821*i**3 + 5970128*i**2 wrt i.\nAnswer: -768*i + 676926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + -14 - (314 + 0). Let c = -145 - i. Suppose 697 - c = 2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-82)\/(-41)*(0 - (1 - 6)). Let z(g) = g**2 + 9*g + 3. Let m be z(-9). Suppose -t = -d - m. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((275\/(-15))\/11)\/5. What is the closest to -1 in 0.2, o, 1\/2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -738537 or -670\/9?\nAnswer: -738537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1092 - 1648. Let h = t - -168. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, a: 1, l: 1, m: 2, d: 2}. Give prob of sequence da.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 562 = 2*x, y = -5*x + 781 - 234. Is 52 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598708393 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11880 + 718932.\nAnswer: 707052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -275.1. Let w = x + 3.9. Let z = w + -16. Do z and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.147 times -1.6\nAnswer: -0.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 538269800 to the nearest 100000.\nAnswer: 538300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -282, 25, -1, -44, 4, -2 in decreasing order.\nAnswer: 25, 5, 4, -1, -2, -44, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z**2 + 38*z + 207. Let r be n(7). Which is bigger: r or 710?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 715\/(-195)*3\/(-4) - 1\/(-4). Solve -b = 5*s - 22, -d*b = 4*s - 9*s + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6365 at most as big as 6409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.2 (b) 10.6 (c) 0.1 (d) -2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(81)\/(sqrt(3) + sqrt(48)))\/(sqrt(9) - (-1*sqrt(72))\/sqrt(8)) + 0)**2.\nAnswer: -2*sqrt(3)\/5 + 403\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -181*l**4\/4 - 7*l**3\/3 - 1805*l**2\/2 + 716. Find the second derivative of w(i) wrt i.\nAnswer: -1086*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29921*a**3 - 19743*a**3 - 6323*a**3 - 10342*a**3.\nAnswer: -66329*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**7\/420 - w**5\/12 - 6*w**3 - 14. Let v(r) be the third derivative of i(r). What is the second derivative of v(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35349*-0.9.\nAnswer: 31814.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1238 + 45.5238. What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2*m - 25. Let d be n(-6). Suppose -2 = 4*r - 2*r. Are r and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - z + 28. Let k be f(7). Let m = k - 215. Calculate the highest common factor of m and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*l + 84 = 375, -f + 127 = -5*l. What is the remainder when f is divided by 91?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = -b. Suppose v = 3*v - b. Let t be 1 + 0 + -2 + v. Which is smaller: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1353 (b) 0.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172.2 less than -30157204?\nAnswer: -30159376.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7748574 divided by 3.\nAnswer: -2582858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2 + 945*z - 3055. Give s(-89).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 649 by -59.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:40 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0.2, 7, 4267, -1\/2 in descending order.\nAnswer: 4267, 7, 5, 4, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 5. Suppose 7*x - 2*h + 15 = 4*x, -2*h = -5*x - 25. Let i = -15 - -15. Let v = x - i. Let c(b) = b + 2. Give v*c(o) - 2*n(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -22 - 26. Let i(b) = 3*b**2 + 4*b - 7. Let w be i(-7). Calculate the greatest common factor of z and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 457*p - 456*p - 10 + 4 = 0, 0 = 2*s + 5*p - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 7. Let y be j(6). Suppose -27 - y = -2*g. Let k = 95 - 40. Calculate the remainder when k is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31071186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12770334 rounded to four decimal places?\nAnswer: -0.1277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(sqrt(720)*2*-3 + sqrt(720) + (3 + sqrt(720))*-6)*-2)**2.\nAnswer: 2737152*sqrt(5) + 50367744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/664 and 43\/4.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/199 - -581\/1592. Sort c, 1, 4.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 1245*p**3 - 8672*p**2 - 7428*p.\nAnswer: -p*(p + 1)*(p + 6)*(p + 1238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103013690 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -43*r**3 + 3*r**2 - 2*r - 3. What is the remainder when 128 is divided by g(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 19*a + 16. Determine j(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388854\/24 + (-2)\/(4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from {i: 2, y: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*z**3 - 44*z**2 + 34*z**3 + 0 - 2*z - 2 - 3*z + 42*z**2 in the form n + p*z + o*z**2 + b*z**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q - 4. Let k be i(-1). Let n = 13 - k. Let l = n + 21. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x**2 + 2*x. Let b(p) be the second derivative of p**4\/24 - 3*p**2 - 12*p - 1. Let i(s) be the first derivative of b(s). Calculate u(i(a)).\nAnswer: -10*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.563255km to nanometers.\nAnswer: 5563255000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39357 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 5*n**3 + 3*n + 4*n - 4 - 3*n. Let f(s) = -24*s**3 - 11*s - 19. Let r(v) = 11*a(v) - 2*f(v). Differentiate r(c) wrt c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 = -4*g, -3*g + 0*g + 17 = h. Which is the closest to 0.1? (a) -0.1 (b) h (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27\/7 - -169\/42. Which is the closest to 4? (a) 0 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2*(-16)\/(-20). Suppose -5 - 5 = -m*v. Suppose -v*x = -676 + 8526. Round x to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 1632?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1044\/588473 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 120 = -32*d. Factor 6*q**2 - 3*q**5 + 0*q**5 + 9*q**3 + 12*q**4 - d*q**3.\nAnswer: -3*q**2*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/35 and 69\/6335.\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**7\/399 + n**6\/95 - 2*n**4\/57 - 21*n - 11. Let z(s) be the first derivative of k(s). Factor z(x).\nAnswer: 2*x**2*(x - 1)*(x + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by 129?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/1190*-5*288\/18.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*-3*(sqrt(17) + 1).\nAnswer: 48 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*y + 1280 = 0, w - 202 = -5*y + 24. Which is the smallest value? (a) 0.2 (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4701, 7, -4 in descending order.\nAnswer: 7, -4, -4701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -82. Let u = 1133 - 1132.8. Is j <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.2 + -31.6. Let u = -50 + t. Which is the third biggest value? (a) -0.04 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {o: 11, z: 3, x: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1607\/7 - 229. Let p = 31 + -43. Let q be (p\/(-16))\/((-3)\/(-12)). Which is the second smallest value? (a) 0.3 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5294*m - 79629 - 117110 + 861 = 0 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 + 38*s**2\/3 + 76*s\/3 - 320\/3.\nAnswer: 2*(s - 2)*(s + 5)*(s + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m. Let u(f) = f + 7*f**2 - 5 + 7*f - 3*f. Let y(t) = 6*t**2 + 4*t - 4. Let v(c) = -4*u(c) + 5*y(c). What is v(n(q))?\nAnswer: 578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + -203 + 195?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -998659 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*-3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46840973?\nAnswer: 67, 699119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/35 + (-9)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 466634812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 72. Let x(i) = -y*i + 5*i**3 - i**2 + 74*i + 1. Give x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1821504000 rounded to the nearest 1000000?\nAnswer: -1822000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**2 + 3*n + 1. Let w be s(-1). Solve -2*f - 3*g = w, -6*f + 3*f = 4*g + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/(-308)*4\/24*-2*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*(-32)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 6 - 3*f - 2*f**2 + f**2. Let q be s(-2). Let -1\/3 - 3*g**q + 2*g = 0. Calculate g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 11*g**2 - 3*g - 18. Determine q(10).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 11*w**2 + 13*w - 27. Suppose -6*f = -11 - 49. Let o be d(f). Suppose 3 = -o*q + 15, 3*a - 3*q = 123. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316937.1 centimeters in kilometers?\nAnswer: 3.169371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2) + 0 + 1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 5*f**3 + 5*f**3)*(-2 + 2 + 1) - 2*f**3 + 7*f**2 + f**3 - 8*f**2 + 3.\nAnswer: -3*f**3 - f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 1.67?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 5:45 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/25 (b) -121 (c) 740 (d) -5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -98*y + 3\/4*y**2 + 0 - 9\/40*y**6 + 57\/80*y**5 - 19\/8*y**3 + 7\/16*y**4. Solve l(b) = 0 for b.\nAnswer: -1, 1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2. Let j(k) be the second derivative of 25*k**3\/6 + k**2 + 65*k. Determine c(j(t)).\nAnswer: -1875*t**2 - 300*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -68, -121, -192, -281, -388?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 9*v**5\/20 - v**4\/4 - 2*v**3 - 6*v. Factor p(o).\nAnswer: 3*o*(o + 1)*(3*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-12))\/(((-53550)\/(-120))\/15)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.759755159 to 4 dps.\nAnswer: -7.7598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13.15*62.17\nAnswer: -817.5355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.6 and 2.1?\nAnswer: 26.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -487, -739, -989, -1237?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 11. Let t be c(19). Let h(y) = -4*y + 43. Let r(f) = 2*f - 22. Let k(s) = 2*h(s) + 5*r(s). Let l be k(16). Is t equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*a = 6*a - 10, -q - 5 = -4*a. Solve c - 8 = z + 1, z = -q*c + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13121075?\nAnswer: 5, 11, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.391 and -1.77?\nAnswer: 0.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*u - 2*u**3 - 383*u**2 - 595 + 1113 - 506 wrt u.\nAnswer: -12*u - 766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5893*d + 5882. Give o(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.66 - 140.\nAnswer: -134.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -55 - y**3 - y**2 - 56 + 149. Let c be f(0). Suppose 0 = -3*q - 5*m + c - 7, 22 = 2*q + 4*m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykyyyhykykhykyy. Give prob of picking 2 y and 1 h.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33559 = 4273*l - 30536 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + (sqrt(1008) - (0 + sqrt(1008))))**2 - (2 + sqrt(7) + (sqrt(28)\/sqrt(4) + -3 - sqrt(7))).\nAnswer: 23*sqrt(7) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139 or 2203\/16?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 42637 - 187775 = -51*j. Calculate the greatest common divisor of 70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = -4*q. Put -8, q, 3 in ascending order.\nAnswer: -8, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 5:12 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 21*w**2 - 5*w - 903. What is a(-22)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*l. Let s(c) = c. Let i(p) be the second derivative of -p**3\/2 - 30*p. Give l*i(q) - 6*s(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/13 or 1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 956028, 956032, 956036, 956040?\n\"Answer: 4*m + 956024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (10 + (-6 - -2))) + (0 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 51*q**2 - 47*q**2 + 2*q**4 + q**4 - 4*q**3 - 7*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p**3 - 2*p**2 + 2*p. Let s = 6 + -4. Let y be h(s). Suppose -y + 31 = -3*n. What is the greatest common divisor of n and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640233.\nAnswer: 3, 11, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 1:53 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 51*z**2 + 182*z + 16. Let p be k(4). Let x = 2 - 3. Let r(b) = 16*b - 8. Let t(w) = -w + 1. Determine p*t(d) + x*r(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41435000 rounded to the nearest 100000?\nAnswer: 41400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2571348 divided by 1378\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8068019?\nAnswer: 8068019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*a**2 - 143 - 331 + 521*a + 19*a - 17 + 4*a**3 - 609.\nAnswer: 4*(a - 11)*(a - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 4 + (-11)\/1. Does 9 divide 66\/8*(-32)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -947829 times -5?\nAnswer: 4739145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/(6\/(-5)). Let w = -569\/7 - -1721\/21. Suppose i + 0*i**2 - w - b*i**3 = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9196?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*y**3\/11 + 114352*y**2\/11 + 107487*y\/11 - 7290\/11 = 0. Calculate y.\nAnswer: -1, 27\/425, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 8*i + 3 - 2*i.\nAnswer: 10*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 9. Let c be z(6). Let j be ((-2)\/c)\/((-4)\/30). What is the third smallest value in -2, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5470 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 37. Is (y\/(-3))\/(3\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from ldlldddddlll.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6910, -11629, -19504, -30541, -44746, -62125?\nAnswer: -82684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**4\/6 - 2*t**2 + 180*t. Let y(g) = -76*g + 2. What is y(d(l))?\nAnswer: -304*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 78*w - 252.\nAnswer: 2*(w - 42)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135\/154 or 67?\nAnswer: -135\/154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 14*r**2 - 16*r + 23. Let l be h(-5). Factor 0 - 4\/5*t - 2\/5*t**5 - 2*t**4 - 18\/5*t**l - 14\/5*t**2.\nAnswer: -2*t*(t + 1)**3*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/25*10\/(-4)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**3\/3 - 6*o**2 - 6*o + 4. What is the tens digit of t(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*c + 47 - 27 - 22)*(-c - 3*c + c).\nAnswer: 135*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, z: 5, d: 1, h: 1, y: 4, t: 1}. What is prob of sequence zzyy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 390.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.18509 (b) 4 (c) 0.06 (d) 3 (e) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 14*i - 33. Let c be b(-3). Solve -c + 14 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 385628.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 186894.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f**2 + 4*f**2 - 4*f**2.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(sqrt(7) + sqrt(1008)*-3).\nAnswer: -210*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s + 1. Let y be d(1). Let b(g) = 3*g**2 - 56*g + 176. Let o be b(4). Solve o = -3*m + y*w + 4, -4*m + 2*w = 1 + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/3 + (105 - 102)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 17*o**2 - 24*o - 57. Let w be t(-18). Is w greater than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 31. Let m = 0.0069 - 3.0069. Sort -4\/3, d, -1\/5, m in decreasing order.\nAnswer: -1\/5, -4\/3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-40) + 22\/30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 6*a - 3*z - 5, -4*a + 9 = -z. Put -8, 1, -21, a in ascending order.\nAnswer: -21, -8, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26625 divided by 4.\nAnswer: 26625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 188. Suppose -116 - n = -5*b. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:20 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 2772120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24491 (base 10) in base 2?\nAnswer: 101111110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89412.85 weeks to minutes.\nAnswer: 901281528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*t**2 + 10*t**2 - 3*t - 7*t + 9*t**2.\nAnswer: 5*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20005 and 2105.\nAnswer: -42110525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69196, 69205, 69214?\n\"Answer: 9*j + 69187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -75887 divided by 36\nAnswer: -75887\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*v - 1800 = 38*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 4, -0.03, 1, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 5 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.191 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 - -13038267.\nAnswer: 13038264.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6 - (-1)\/36*-66\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -2*t**3\/3 + 5*t**2\/2 - 4*t. Let p(i) = 3*i - 4. Let s(b) = -4*a(b) - 5*p(b). Let d(k) = -k**2. Determine s(d(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d. Let b be 21\/14*4\/(-2). Calculate the remainder when 27 is divided by k(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 160 = -3*r. What is the closest to 1\/3 in r, -3\/2, -2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from llpppppcffcflppfpp.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-17)*-1*2*609\/42?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 2. Let g be w(4). Suppose 13*m + 583 = -15. Let b = m - -48. Sort -4, g, b in ascending order.\nAnswer: g, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 13 = 2*x, -g - 4*g = 15. Suppose 5 = a - 4*r, -a - r = -0*a - x. Solve -11 = 4*u + u + 4*w, 3*w = a*u + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -164*u + 3 - 123*u - 2. Let o be b(5). Is 20 a factor of o\/(-22) + 2\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1512 - 867. Let a be 2021\/i + (-1 - -7)\/(-2). Factor 0*u + 0 + 4\/15*u**2 - 2\/5*u**4 + a*u**3.\nAnswer: -2*u**2*(u - 1)*(3*u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4860 - -4863. What is the closest to -0.3 in 112, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-45) - 130\/(-585)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14185 + 14249 + (-1 - 24)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiyyyyyiyyyyyyyryii. What is prob of picking 2 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 3*q + q)*(4*q**3 - 5*q**3 + 2*q**3).\nAnswer: -q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13942943 a multiple of 2322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.195258 hours to seconds.\nAnswer: 18702.9288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90703.\nAnswer: 90703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.36 - -0.14. Let o = j + -4.5. Put -2\/5, o, 1 in decreasing order.\nAnswer: 1, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 7*k**2 + 2*k**2)*(-1 - 2 + 4)*(1 + 2 - 4).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - (-2)\/(-2)*(-45)\/18. Solve -2*d = -p - 1, -m = 3*d + p + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 3*n**2 - 3*n - 2. Determine m(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 90. Suppose -484 = -d*a + 12*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(88)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247170351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/4))\/(((-228)\/209)\/(1602\/(-979)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 1.77. Let m = 0.08 + -0.3. Let d = w + m. What is d rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/44)\/((-9)\/(-4)). Let y = -3.42 - 0.28. Let b = y - 1.3. What is the closest to -1\/4 in a, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/7)\/(-1 - -2). Suppose 5*t - 6*t - 4*t = 0. Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -6, -2*w + 4*w + 12 = -4*l. Find h, given that 0*h**3 - 3\/4*h**4 + 3\/4*h**2 + w*h + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 535103, 1068888, 1602673, 2136458, 2670243, 3204028?\n\"Answer: 533785*u + 1318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 27 + 91. Suppose -67 = 4*h - 3*c, 0 = 6*h - 2*h + 5*c + t. Let g = h - -19. Solve 0 = 3*v - p, v + 3*v = g*p - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/5 (c) -3\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-12)*(16 - 2). Suppose -3*x - c = -4*x. What is the highest common divisor of 42 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 116 = 3*q, 2*q = w + 96 - 15. Let k = q + -119\/3. What is the third biggest value in 3, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 - 3*u**5\/20 + u**4\/4 + u**3 - 66*u**2. Let o be 7 + (-3)\/(-6)*2. Give s(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k + 3. Let f be c(-8). Let t be (-88)\/f*6\/4. What is the closest to 1 in 0, -2\/5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:04 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2564614 microseconds?\nAnswer: 0.0000002564614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204 or 0.991?\nAnswer: 0.991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(1 - 14\/12). Let j = z + 56. Suppose 0 = 5*m - 3*g - 2*g - 25, 0 = -3*m + 2*g + j. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 21*h + 15. Let y be h\/(-2)*-2 + (-6058)\/(-2015). Is y <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50982553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/1936 + (-9)\/(-33)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 6*y - 4*y - 16 = -18*y + 5*o, -3*y + 4*y = -o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-140)\/(-75) + (-2 - 32\/(-15)). Let h(r) = -r**2 + r. Let o(s) = -3*s**2 + 3*s. Let q(i) = 17*h(i) - 6*o(i). Let u be q(w). Solve 0*n - n = -u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.023?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27608 by 3944.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**5 - 121868*q**4 + 928664540*q**3 - 6496508836*q**2 + 13918270560*q - 8350304400 = 0.\nAnswer: 1, 3, 15230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -24. Suppose -2*w = -v + 7 - 1, 3*w = 2*v - 10. Suppose -v*a + x = -1. What is the least common multiple of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2 (c) -7\/10 (d) 1 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319*c**2*i + 363*c + i wrt c?\nAnswer: -638*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d + 3. Let w(p) = 50*p - 185. Give -3*f(z) + w(z).\nAnswer: 5*z - 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*i + 13, 0*i = 3*i - 6. Let h(o) = -51*o - 13. Is h(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16\/5, -0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27901 is divided by 256.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3430 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -133327699\nAnswer: -133327685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/444707136 and 71\/9.\nAnswer: 444707136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhhuuuuhuuchc. What is prob of sequence ccuh?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 477. Suppose 5*t = 2*t + z. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, l: 2, q: 6}. What is prob of sequence qwwq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 23, 5, -2\/11 in decreasing order.\nAnswer: 23, 5, 2\/9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 771*o - 7*o**2 - 3 + 1224*o.\nAnswer: -7*o**2 + 1995*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(3) + -5 + 5.\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54422 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210 + -210101010?\nAnswer: -210011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/30)\/(2\/10). Suppose x*r = -5*z - 63, -z - 48 = 3*z + 3*r. What are the prime factors of 5\/z + 74\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63)\/sqrt(3))\/(sqrt(243)*-3).\nAnswer: 2*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*h = a + 70*h - 20370, -81384 = -4*a - 4*h. What is a rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + l + 625. Let n(j) = -j + 2. Determine d(w) + 3*n(w).\nAnswer: -2*w**2 - 2*w + 631","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-3 + -2 - (0 + sqrt(68))*-6) + (sqrt(34)\/(sqrt(2) + sqrt(8) + sqrt(2) + sqrt(2)) + 2 - ((sqrt(833) + 1 - sqrt(833)) + -5)))**2.\nAnswer: 248*sqrt(17)\/5 + 16737\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 43472\nAnswer: 5\/21736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (684\/108)\/(68\/204)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-18)\/(-5) - 5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w. Let z(m) = 65*m. Give v(z(j)).\nAnswer: -325*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.1 + 5?\nAnswer: -121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 + 7 = 0. What is the lowest common multiple of 11\/((-11)\/(-3))*86\/a and 2?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 134, 203, 272, 341?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161168925.\nAnswer: 3, 5, 17, 19, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 1164, 3685, 8542, 16515, 28384, 44929, 66930?\nAnswer: 95167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/62, 131, 0.5 in decreasing order.\nAnswer: 131, 0.5, -3\/62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37468 or 37467?\nAnswer: 37467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1564 (base 8) to base 16.\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-19) - (200\/(-456) - 1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46778 + -4585?\nAnswer: 42183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -3*p. What is the closest to 1\/8 in p, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -5)\/(-3) + 14. Let u = v - 11. Put 5, 3, u in descending order.\nAnswer: 5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294 + 318. Is d at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/11191 and 50\/171.\nAnswer: 100719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 29. Let w(f) = -84*f + 99. Let b(x) = 29*x - 35. Let i(q) = 17*b(q) + 6*w(q). What is i(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u**2 + 0)*(-6 + 6 + 4*u)*(-1 + 1 - 1)*(2 - 4 + 5).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -5 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 417989.\nAnswer: 1253967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 12) + 16 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(117)*1 - sqrt(117) - sqrt(117))*-6)\/(sqrt(81)\/sqrt(36)).\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/((-9)\/(-54)). Let d be 6\/(-15) + (-2676)\/(-15). Let i = -1244\/7 + d. What is the second biggest value in 4, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, -11, -32 in decreasing order.\nAnswer: 17, -1, -11, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -48. Suppose 7 + 41 = q*h + g, 3*h - 21 = 2*g. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 + 874. Let l(y) = -61*y**2 - 8*y + 24. Let h(c) = 38*c**2 + 5*c - 15. Let q(u) = -8*h(u) - 5*l(u). Calculate p(q(z)).\nAnswer: -6*z**4 + 874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10176714337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/609098 and 151\/29190?\nAnswer: 9136470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 30119?\nAnswer: 120476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84612*w**3 + 57376*w**3 - 81614*w**3.\nAnswer: -108850*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 3. Suppose -12 = -z - 4*v, 4*z + z - 12 = 4*v. Suppose -5*u = 6 + z. Determine y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 129*z**2 + 19*z - 89. Is x(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13*o**3 - 46*o**2 - 6*o + 59. Is w(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54935)\/(-12)*(-4 + (-154)\/(-35)). Let v = -1836 + j. Is -4 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -363.9 + 393. Round p to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-3)*54\/108\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1649*w + 1649*w - 2 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3810)\/68 - (1029 + -1085).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4c19 - -8?\nAnswer: a4c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n**(3\/5)*(n**(-1)\/n*n)\/(n*n**(-1\/7)) assuming n is positive.\nAnswer: n**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + s = 31, 4*g + 141 - 147 = -2*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 3, 2\/7, 4129\/2, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*a**2*o**3 + 2*a**2*o**2 - 66*a**2 + 51*a*o**3 + 21*a*o - 1 wrt a.\nAnswer: 100*o**3 + 4*o**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let c = 1 - i. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132231 divided by -1.\nAnswer: 132231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 82*r**2 - 4*r - 1394. Give f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11303 (base 4) to base 10.\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2023205793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-seven halves of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 3)*(d + d - 4*d)*((2 - 1 - 2)*(-4 + 3 + 2) - 1 - 1 + 4).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 566191877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*d - 6 = 0, 5*s - 13*d = -10*d + 4. Solve -s = 286*m - 288*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11769*r - 82. Let x be o(-5). Let k = -207363 + x. What is k rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1010 and 2222.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 17*a**2 - 168*a**2)*(-2*a**3 + 5*a**3 + 0*a**3).\nAnswer: -453*a**5 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(18) - (sqrt(18) + -3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/(q*q\/q**(2\/17)*q)*q*q)\/q)\/q)**(-5\/17))**49 assuming q is positive.\nAnswer: q**(-490\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 + 42*f + 235 = 0.\nAnswer: -5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113348 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 45*x**2 + 12*x - 94. Let h be z(-23). Calculate the greatest common factor of h and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**8)**(-32)*(l\/l**4)**(-2\/61))**(-31) assuming l is positive.\nAnswer: l**(-423770\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77000 and 12628?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 60425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*b = 818*b + 633*b + 5352 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0975? (a) -4 (b) -55 (c) -9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g**3 + 23*g**2 - 7*g + 7. Let s(m) = 8*m**3 + 11*m**2 - 3*m + 3. Let o = 151 - 145. Let l(f) = o*y(f) - 13*s(f). Determine l(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(0 - 1 + 0)*(2 - 2 - 4)*(-183*x - 30*x - 63*x) to the form r + s*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 54*y**2 + 3055*y - 1234. What is n(-57)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 878625 divided by 8875.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1210758.8 to the nearest ten thousand.\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 9*w - 24. Let g be k(11). Let v = 13.3 - 13. What is the closest to 0.1 in g, -3\/26, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0477031 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323889*r + 1 + 323857*r - 647805*r.\nAnswer: -59*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 14 = -4. Solve v = q - 4*m, 4*m = -4*q + q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmmrrrrrrrrmmmmmm. What is prob of sequence mmr?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6592525637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-175))\/((-10)\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 15 + 3. Suppose 5*p + o = g, -o - 9 = p + 3*o. Suppose -m - 42 = -p*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299.7 + 300. What is the closest to 0.1 in 1, -2, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/3 - 5*c**4 - 24*c**3 - 36*c**2.\nAnswer: -c**2*(c + 3)*(c + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-32)*(p*(p**(-5\/4)*p)\/p)\/p*p**(-1\/4)\/p*p)**(1\/6) assuming p is positive.\nAnswer: p**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -7216, -24665, -58826, -115315, -199748, -317741, -474910?\nAnswer: -676871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-115)*4095\/(-702))\/((-436)\/21) and -9\/2.\nAnswer: 20056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*m - 23, -m - 7 = 4*n + 4*m. Let s be 134\/(-201)*(1 - (-10)\/(-4)). Put s, -1, n in descending order.\nAnswer: n, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 3*c + 4*c)*(-5 - 1 + 2) + 4641 - 45*c - 72*c - 42*c - 17986 + 161*c to u + l*c and give u.\nAnswer: -13345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 24*q. Let f(p) = 3*p**3 + p**2 + 25*p. What is -3*f(i) - 4*o(i)?\nAnswer: -i**3 - 3*i**2 + 21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4307 - 5?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 divided by 988771?\nAnswer: -838\/988771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.08, -6, -4, 1\/6, 1, 0.8, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -3*b**4\/4 - 5*b**3\/3 + 11*b**2\/2 - 8*b + 66. Let n(c) = -2*c**3 - 3*c**2 + 7*c - 5. What is 8*n(z) - 5*t(z)?\nAnswer: -z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/10)*f)\/(f*f\/(f\/(f\/(f\/(f**(-2\/11)\/f*f)))))*(f*f**(-3)*f*f)\/f**2 assuming f is positive.\nAnswer: f**(-233\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/60)\/(3\/72).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 21*f**3 + 1578*f**2 - 4644*f + 2808 = 0?\nAnswer: -78, 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/2708451?\nAnswer: 4\/2708451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-65)\/(-3612)) + 166\/1079. Which is smaller: 279 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -5*z**8\/168 + 19*z**7\/14 - 15*z**6 - 337*z**5\/6 - 25*z**4\/4 + 375*z**3\/2 + 3*z**2 + 3. Suppose f(u) = 0. Calculate u.\nAnswer: -1, 1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2459 or -2096?\nAnswer: 2459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 775 + -2291\/3. Suppose 4*w - 22 = 6*w. Let z = c + w. Is z <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:14 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8101504 and 9352.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 6:03 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11023 (base 12) in base 14?\nAnswer: -82a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.401 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, -3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 31\/6, 0.09, 0.3, 10?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-6) - 605\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 547 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*n = 23, -y + 2*n = -4 + 1. Suppose -y*k = -9 - 1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = 6*y + 520 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 o, and 1 e when four letters picked without replacement from {i: 11, e: 3, y: 3, o: 3}?\nAnswer: 9\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2033\/49 (b) -0.9 (c) -2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -9. Suppose 0 = 4*r - 4 - 8. Find the second derivative of -6*a**3 + a**z + 4*a + a**r wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:57 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n + 32530 = 43410 for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 13*h**2 - 25*h - 42. Let f be w(10). Suppose -3*x - 20 = -2*r, -f*r + 12 = -6*r - x. Solve 0 = -b + r*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -3*2\/3. Suppose -26*r = -30*r - 4*i, 6 = -r - 4*i. Suppose -5*d + 4*m = -24, -6*m - 13 = -r*d - m. Solve t*q - d*q = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000790145 to six decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2660746us?\nAnswer: 0.0000002660746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2772 and 13\/812?\nAnswer: 80388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43063\/87 + -495. Let g = -28664 + 28666. Which is the closest to -2\/5? (a) 4 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5511?\nAnswer: 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*x - 359*x + 0 + 0 - 489*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 793241083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 7*i**5 - 28016*i**4\/3 + 30619*i**3\/3 + 53324*i**2\/3 - 5332*i\/3 = 0.\nAnswer: -1, 0, 2\/21, 2, 1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**6\/15 + x**4\/6 - 5*x - 3. Let d(a) be the first derivative of q(a). What is the third derivative of d(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(18\/7)\/a**0 assuming a is positive.\nAnswer: a**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3807 or -3806?\nAnswer: -3807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/13)*x)\/x*x**(-14)\/x)\/(x\/(x\/((x*x**(-2))\/x))*x)**18 assuming x is positive.\nAnswer: x**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14\/9 (b) -305 (c) -5 (d) 0.3 (e) 5 (f) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/240 + u**5\/60 + u**4\/48 - 7*u**2. Find r, given that t(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-4)\/(-2 - 0). Suppose -2*v = -v + z*q + 8, v + 18 = -5*q. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 232 + 64 = 0. Calculate the least common multiple of 120 and (-4)\/6*v\/14.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 18. Let s be q(-6). Let z(m) = m**2 - 5*m - 14. Let d be z(s). Let t(i) = -i**3 - 8*i**2 - 2*i - 6. What are the prime factors of t(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1058068?\nAnswer: 1058067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z, 0 = -6*s + 3*s - 5*z + 3. Let n be 2\/(-5) - 27\/(-5). Let q be (-1)\/5 + 16\/5. Put q, s, n in increasing order.\nAnswer: s, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 151?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 2 - 2 + 0*t**2 + 2*t**2 + 0*t**2 + (t - 2*t + 2*t)*(2*t - 1 + 1) + 2*t - 17*t**2 + 4 + 37*t**2 - 24*t**2 as s*t**2 + k*t + v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 33*x**2 - 67*x - 762. Give p(-18).\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:38 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-230)\/50 + 1 + 0. Suppose 6*t - 73 = -2*n + t, -2*n + 76 = 4*t. What is the second derivative of -5*u**4 + v*u**4 - 15*u + n*u wrt u?\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-325)\/30)*-2)\/((-1428)\/1360)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 + 111*z\/5.\nAnswer: 3*z*(z + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1850145, -1850143, -1850141?\nAnswer: -1850139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**5 - 17*o**5 - 30*o**2 + 8*o**2 + (0*o + 0*o - o)*(-242*o + 242*o + 12*o**4).\nAnswer: -13*o**5 - 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Let y(f) = 22*f**3 - 2*f**2 + 3*f - 3. Let k be y(l). Suppose -9*d + 92 + 79 = 0. Calculate the greatest common divisor of d and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254666, 509336, 764006, 1018676, 1273346?\nAnswer: 1528016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5827056 to the nearest integer?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.95 + 0.45. Let w = 15 - s. Let h(l) = l**2 - 10*l + 9. Let y be h(9). Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2697*m = -2689*m - 320. Put 4, 0, m, 5 in increasing order.\nAnswer: 0, 4, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4241056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4628959?\nAnswer: 37, 125107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/4)\/(2\/8). Let y = -18 - -18. Let a = 2 - y. Solve -u = -a*k + k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109322181, -109322180, -109322179?\nAnswer: -109322178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -1c5b3?\nAnswer: 1c5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269286737 to the nearest integer?\nAnswer: 35627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 212670.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 4, 15, -39, -16, -14 in ascending order.\nAnswer: -39, -16, -14, -6, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34320 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 0*l + l + 42*l**2 - 9*l.\nAnswer: 42*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*y - 3*d - 0, -d = -4*y - 10. What is the common denominator of (-17)\/y - 6\/(-8) and (-586)\/80 + (-1)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522003071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 218.9 to the nearest integer.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 362 + -182. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.44 + 0.36. Let m = v + 1.2. Let z be (-27)\/(-18)*(-4)\/(-18). What is the second smallest value in z, -2, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(6 + -5))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-3 + 3 + 2*i) - 2*i + 0 + 0 + (0 - 2*i + 0)*(3 + 1 - 3) - i + 0*i + 0*i + 0 - 10*i + 0.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8814573, -17629143, -26443713?\n\"Answer: -8814570*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(10\/((168\/(-9))\/7)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 12*u - 16. Let l be z(14). Solve -g = -4*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 9:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 400 or 139?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 - 1. Let l(q) = 1535*q**3 - 5*q**2 - 759*q**3 - 779*q**3 - 9*q + 5. Calculate l(i) + 5*s(i).\nAnswer: 2*i**3 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(213\/852)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 875 and 1575.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -534403452*n**3 - 24207497*n**2 - 4*n + 1?\nAnswer: -3206420712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3049\/1273 + -164\/67. What is the fifth smallest value in -0.3, -2, s, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/28577 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3440325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**3 + 7*m**2 + 5*m - 9. Let g(f) = 6*f**3 + 4*f**2 + 3*f - 5. Determine 7*g(t) - 4*q(t).\nAnswer: -2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8275 is divided by 387?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41731 + 59366 = 40*w + 16057. List the prime factors of w.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51070 in -1, -8, -3, -13\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20328613 divided by -7\nAnswer: -20328613\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/43 (b) 0.1 (c) -1\/62 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60970.9 rounded to the nearest 100?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**5\/25 - o**4\/2 + 11*o**3\/5 - 4*o**2 + 16*o\/5 - 11. Solve v(g) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:11 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 19*g + 34. Let q be l(-20). Factor 15 - 3 + 8 - 26*p - 45*p**2 - q*p.\nAnswer: -5*(p + 2)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -402\/13? (a) 2\/9 (b) 0 (c) -5 (d) 0.1 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 86496.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1916, -1901, -1886?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*p = 1589 - 1138 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121202221121 (base 3) to base 5.\nAnswer: 41031244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23656 (base 10) to base 11\nAnswer: 16856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.026 in 3, -1\/3, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196950 + 196950 + 7*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6577 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*v - 57, -2*v - 3*i + 9 + 2 = 0. Suppose -58 + v = -3*x. Find the second derivative of -30*a**4 + 19*a + x*a**4 - 3*a**4 wrt a.\nAnswer: -216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 235. Let l = z - 89. Let v = 57.0000041 - l. Round v to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 29 + (-9 - (29 - 49))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-46)\/8 - 7\/(-308). Is c greater than or equal to 0.093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 6187440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*k + s, 0 = -k - 5*s + 6*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*b + 11 = 0, 0 = -3*c + 3*b - 2*b + 17. Let v(f) = f**3 - 3*f**2 - 8*f + 3. Let t be v(c). What is the highest common factor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3054 and 49693161.\nAnswer: 99386322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*130332.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62167*v**3 - 7036*v**2 - 21*v?\nAnswer: -373002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -174. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 5*x. Solve -2*z + 4*a + 0*a + 22 = 0, 4*a + 12 = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by (57\/76)\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 8, 362, -35, 5, -3 in ascending order.\nAnswer: -35, -3, -2, 0, 5, 8, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-18) - 2\/(-4). Let a(k) be the second derivative of -o*k**2 - 3*k + 0 - 1\/18*k**4 + 1\/3*k**3. Factor a(x).\nAnswer: -2*(x - 2)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*f = -22, 0*f - 3*f = -15. Let y(j) = j**2 - 5*j + 8. Let g be y(n). Let v = -15 + g. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -41*(12\/3 - 5). Let x = 50 - u. Calculate the greatest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -163, -2415, -6769, -13225?\n\"Answer: -1051*f**2 + 901*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 70. Suppose 0 = 3*d + 5 - z. Let c(j) = 10*j + 466. Let l be c(-46). Solve f = l*f + d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*w + 3, -2*w - 2*w = -3*m + 9. Solve w = 7*v - 3*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*i = 2, -x + 3 = -5*i - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2701.\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from embmbbbmebmmb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/10230 and 73\/478020.\nAnswer: 5258220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/3 - 5*t**4\/6 + 9*t**3\/2 + 11*t**2\/6 - 23*t\/6 - 1 = 0. Calculate t.\nAnswer: -3, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.046156s in weeks?\nAnswer: 0.00055893875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/(-14))\/((-2)\/(-12)). Let x = 13 + v. Solve 2*o - 7 = -x*d - 3*o, d - 5*o + 17 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -11*r**3\/3 - 15*r**2\/2 + 29*r. Let z be p(-6). Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from iubafzzfu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47341 divided by 20335?\nAnswer: 6763\/2905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/(-48)*-100).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 4*j**3 - 9*j)*(-4*j + 3 - 3 + (3 - 3 - 2*j)*(-2 + 1 - 2)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**2\/17 - 14970*o\/17 + 327404\/17 = 0.\nAnswer: 22, 7441\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/11 + 8168*f**2\/11 - 8323168*f\/11 - 33423488\/11 = 0. Calculate f.\nAnswer: -4, 2044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose v = -3*s - s + 1400000. What is s rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126772 not equal to -367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -156\/25 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33385 to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 32 = -2*k, 2*k = -4*w + w + 10. What is the third derivative of 9*x**6 + 62*x**2 - 58*x**2 - 4*x**w wrt x?\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 426*c**3 + 14691*c**2 - 30672*c + 15552.\nAnswer: 3*(c - 1)**2*(c + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941912836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 21053*f**2 - 42104*f**2 + 21050*f**2. Let t(h) = -2*h + 94. What is t(g(m))?\nAnswer: 2*m**2 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726577523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/14)\/(2\/68). Let r(x) = 6*x - 3. Let d(v) = -2*v + 1. Let o(q) = c*d(q) - 6*r(q). Determine o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122111006 divided by 2?\nAnswer: 61055503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -1\/60*l**5 + 0*l + 0*l**3 + 1\/10*l**6 - 1\/105*l**7 - 2\/3*l**4 - 33*l**2 + 0. Find the third derivative of c(d) wrt d.\nAnswer: -48*d + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 2 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/185 - -10549\/69745. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548091 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 1 g when three letters picked without replacement from hzhkqqxzgqkkgxk?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yaayyaaayyyaaaaayaa.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/78 + 2\/(-6). Let z = 126 + -154. Let u be 18\/z*80\/(-90). Sort 1\/2, -4, x, u in ascending order.\nAnswer: -4, x, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 101 = -3*y + 5*k, 2*y + 2*k = 46. Let q = y + -6. Let r = -8 + 19. What is the remainder when q is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632895.\nAnswer: 5, 11, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912903241.\nAnswer: 83, 23047027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 19*q - 43. Let k be y(8). Suppose -k*d = -40*d - 1245. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.43 and 0.4.\nAnswer: -9.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4, 2, -8, -4, 0 in ascending order.\nAnswer: -28, -8, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(6\/17)*s*s*(s*s*s**(3\/17)*s*s)\/s*s**(-2\/13)\/s**18 assuming s is positive.\nAnswer: s**(-2569\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2999497 is divided by 2712.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -5544, 1, -3.\nAnswer: -5544, -70, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011 (base 2) in base 9?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -820189624 - -820213927.00092. Let a = 24263 - p. Let g = a - -40. Round g to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -782 by 779.\nAnswer: -782\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(2)) + 2)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c + 931700 = -38*c. What is c rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209377084.\nAnswer: 2, 31, 9753041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -647882899 or -647882900?\nAnswer: -647882900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from lrlgyygzygy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/10)\/(2\/(-5)). Solve 0 = -3*h + z, -3*d - h - h + 11 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268*k**3*m**3 - 2*k**3 - 262*k*m**2 wrt m?\nAnswer: -1608*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 6314*x**2 - 6*x - 6295*x**2)*(x**2 + x**2 - 4*x**2).\nAnswer: -38*x**4 + 12*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 135*o**2 + 0 + 0*o**3 + 0*o + 1\/420*o**7 + 1\/8*o**4 + 0*o**6 - 7\/120*o**5. Determine b so that d(b) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*d - 3*l, l - 4*l = 4*d + 6. Let c = 6 + d. Suppose 17 - 75 = f + c*n, 232 = -4*f - 5*n. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*o - 72*o - 45*o + 233 - 137*o wrt o?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y + 5. Let d(g) = -4*g - 3. Let u(x) = 10*d(x) + 6*r(x). Let n be 12\/18*(3 + 0). Let p(l) = 8*l + n*l - 4*l. Give u(p(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 15 = 0, 4*i = 2*x + 2. Suppose 2*v - 5*q + 1 = -11, -i*v = 3*q + 28. Let k = v - -15. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509.97 - -510. Let l be -1 - 2\/(-9 - -1). Let o be -12*(-3 + (-56)\/(-21)). Which is the nearest to u? (a) o (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - n + 3)*(0 - 1 + 2 - 1 + 2 + 0 + (4 + 0 - 3)*(-2 + 0 + 3) + 1 - 6 - 4).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**38\/(a*(a**(3\/4)*a*a)\/a*a*a**(-1\/2)*a))\/((a*a**(1\/3))**(1\/43)*((a*a*a**(-1)\/a)\/a)**(-46)) assuming a is positive.\nAnswer: a**(-25945\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 981340838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-8 + -10 + 11 - 3) - -34\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51675.\nAnswer: 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 4*n**3 + 5*n**3)*(2*n + 0*n - 3*n)*(60 - 32 + 320 + 424).\nAnswer: -3860*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 17*w**2 - 3*w - 18. Let z be d(-18). Let y = z + 645. List the prime factors of y.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 2, k: 1}. What is prob of sequence qk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 684*w - 22584. Determine m(33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -37*p**2 + 38*p - 8. Give h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 10, 3*q + 0*q - 30 = -3*w. Solve 5 = -4*m - 3, -q = -4*c + 2*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3146843 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26698 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015 is divided by 97?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155911009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 2 + 2)*(-16 - 9 + 23)*(-h**2 + 2*h**2 - 2*h**2) as w + l*h**2 + v*h + q*h**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 12 = -3*i, 0 = 2*i + 16*t - 11*t + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*x - 2*o, -o = 7*x - 9*x + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-12)\/480*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025398?\nAnswer: 2, 11, 127, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 7*k + 37. Let y(i) be the first derivative of -i**3\/3 + 3*i**2\/2 + 18*i - 620. What is -3*x(v) + 7*y(v)?\nAnswer: 2*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 957 and 2211?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 102 = -53 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2) + 0\/(-3). Do -1\/16 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -623b8 (base 12) to base 10.\nAnswer: -128444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8364405 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -898, -2010, -3292, -4732, -6318, -8038?\nAnswer: -9880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 124*q**3. Let x be ((-4)\/(-6))\/(2\/3). Let j be y(x). Suppose 2*n = -4*s + 98, -n = 5*s + 2*n - j. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28, 63, -2\/3, -6, 3\/5 in descending order.\nAnswer: 63, 3\/5, -2\/3, -4, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - l - 4. Let f be ((-44)\/(-8))\/((-3)\/(-42)). Suppose 0 = -6*j - 515 + f. Let h = j + 76. What is w(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 3*b + 0*b)*(-3 - 1 + 6) + 3*b + 0*b - 2*b - 12*b + 2*b + 4*b + 4*b - 7*b + 2*b + (2*b - 3*b + 0*b)*(-3 + 7 - 2))*(b - 3*b + 4*b)*(0 - 1 + 3).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (12 - 19 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8952302*s**3 - 2*s**2 + 3*s - 1248873?\nAnswer: 53713812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227452.\nAnswer: 2, 101, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -41*w**4 - 118*w**2 - 4*w + 13. Differentiate v(k) with respect to k.\nAnswer: -984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006800 rounded to the nearest 10000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857673?\nAnswer: 1857673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000a9 (base 13) in base 2?\nAnswer: -10110101010101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1. Let j(z) be the first derivative of 3*z**2\/2 - 11*z - 26. What is -j(y) + 4*t(y)?\nAnswer: -3*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4 = 0, -16*i + 33*p - 2 = 35*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.7212 + 2697.6?\nAnswer: 2789.3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1182096 by -394032.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96010610, -192021217, -288031824, -384042431, -480053038, -576063645?\n\"Answer: -96010607*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -21*x + 18*x. Solve 4*z = 4*b + 8, -5*b + x*b - 4*z = -14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -102. Let n(g) be the second derivative of -1\/20*g**5 + 0 - 20*g + y*g**3 + 9\/2*g**2 + 0*g**4. What is the derivative of n(a) wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*q**3*x - 760*b**3*q*x**3 - 14*b**3*q*x**2 - 2*b**2*x**3 - 3311*b*q**3*x**3 - 2*b*q**2*x**3 wrt q.\nAnswer: 18*b**3*x - 19866*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q + 4 + 1\/4*q**4 + 4\/3*q**3 + q**2. Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 - -12)\/(5 - 3). Suppose a = k - 0*k - 571. List the prime factors of k.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -59 + 24 + -37 + -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 11:21 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21480?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h + 7*h + 3*h - 5*h**2)*(-4*h**2 + 0*h**2 + 5*h**2) to the form q*h**3 + s*h**2 + o + f*h + p*h**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10158, 10160, 10162?\n\"Answer: 2*u + 10156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 52*m = -856 - 80 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774402983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36894 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 - c + c + (0 + 0 - c)*(591809 - 792*c - 591809).\nAnswer: 788*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*n + 234*n + 6 - 285*n in the form s + d*n and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -631.65571 to one dp.\nAnswer: -631.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 3*k**2 + 3*k**2)*(-k + 3*k - k) + 139*k**3 + 200*k**3 + 17*k**3 + (2*k - 3*k**2 - 2*k)*(4 + 3 - 3)*(-2*k + 0*k + 0*k).\nAnswer: 381*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100593750100 rounded to the nearest 1000000?\nAnswer: -100594000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*p - 479 = 0, -5*f + 5*p + 0*p = -2435. Let q(g) = -f*g**3 + 2*g - 1 - 3 + 491*g**3. Let t be q(2). What is the highest common factor of 176 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 901235.1 months?\nAnswer: 75.102925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -24\/11 in ascending order.\nAnswer: -24\/11, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(1 + -2 + 14\/16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1053) - (1 + sqrt(1053))) + sqrt(1053) + -4 + 5*(-2*sqrt(26)\/sqrt(2) - sqrt(13))))**2.\nAnswer: 240*sqrt(13) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269623844, -269623845, -269623846?\nAnswer: -269623847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 0.16, -0.198, 0.4?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 4, -5, 15, 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/7 + 4234*d**4\/21 - 5666*d**3\/21 - 7066*d**2\/21 + 404*d\/3 = 0.\nAnswer: -707, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/(z\/((z**(-28)\/z*z)\/z*z)))*z)\/z*z)\/(z\/(z*z**(7\/2)*z)) assuming z is positive.\nAnswer: z**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 153 = -37 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**4 + 191*p**2 + 16.\nAnswer: 8*p**3 + 382*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 1. Let u(g) = 4*g + 1. Suppose -4*m = 16, -3*l + 1 = 2*m - 6. What is l*u(c) + 6*p(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2021214 by 673738.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285*q**4 + 109*q**4 + 130*q**4 + (4*q**2 + 5 - 5)*(-1 - q**2 + 1) - 5*q**4 + 4*q**4 + 3*q**4)*(1 + 2*q - 1).\nAnswer: -96*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38160?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 + ((-13024)\/(-36))\/8. Let y = 50 - i. Solve 5*q + y*h + 10 = 0, -4*h = -q + 2*q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by ((-1)\/3)\/(16\/(-336)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 0. Let p(a) = 2*a**3 + a. Let y be p(i). What is the smallest value in 5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 18*w**2 - 2*w - 33. Let v be g(-18). Sort 2, -8, -2, v.\nAnswer: -8, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 205, 231, 275, 343?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = -5*j + 721, 4*d = 2*j - 11*d - 0*d + 992 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 - 158. Let x be (-12)\/91 - u\/(-21). What is the smallest value in 0.5, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 2, b: 2, m: 5}. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1676 - 1652. What is the highest common factor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/7)\/((z*z*z\/z**5)\/z))\/(z**(1\/2))**(-40))**(-17) assuming z is positive.\nAnswer: z**(-2754\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 980, 982, 986, 992, 1000, 1010, 1022?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(-4)\/(-3). Suppose -836 = g*q - 6*q. Round q to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -2*q - 216. Let f be (-1)\/(q\/37 + -1). Let b = -17 + f. Calculate the greatest common divisor of b and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -4. Suppose -6 = -g - 2*g. Suppose g*w = -4*x + 2, 3*x + 0*w + 4*w + 11 = 0. Solve x = o + q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 19*z**2 + 5 - 18*z**2 + 0*z**2)*(-6*z - 47*z + 8*z).\nAnswer: -45*z**3 - 90*z**2 - 225*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28261.\nAnswer: 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 761531948 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108, -47, 326, 1167, 2632, 4877?\n\"Answer: 26*t**3 - 121*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:19 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*f + 169, -5*f + 212 = -5*m - 83. Let l be (2 + f)\/((-3)\/10). Let x be (4\/l)\/((-3)\/(-15)). Is 1 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/17? (a) 4 (b) -0.2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 12*j**2 - 9*j - 4. Let f be q(7). Suppose -82 = -f*t + 11. Solve 26 = -4*y - 0*g - 3*g, 3*y = t*g - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*s**3 - 5986323*a**2*s**3 - 10*s**3 - 12025942 wrt a.\nAnswer: -3*a**2*s**3 - 11972646*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/18060 and -19.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Add 31994179346 and 0.3.\nAnswer: 31994179346.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find o such that 624\/5 - 2\/15*o**2 - 118\/15*o = 0.\nAnswer: -72, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**2\/2 + 9*o - 6. Let q be i(-4). Solve 5*c - 3*h + 5*h - 21 = 0, 0 = 2*c + q*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -104\/163515 and -23\/6629790?\nAnswer: 72927690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 - 6*f. Let p be y(5). Let v = -14.22 - -0.22. Let k = 15 + v. Sort 0.2, p, k in descending order.\nAnswer: k, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134850 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*((-4)\/(-26))\/(484\/1573).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -2 + (-33)\/(-9) + -1. Let m(j) be the second derivative of -3\/10*j**6 - z*j**3 + 1\/6*j**4 + 0 + 3\/5*j**5 + 4*j - 1\/2*j**2. Factor m(w).\nAnswer: -(w - 1)**2*(3*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 + y**4\/3 - y**3 + y**2. Let q be j(7). Does 3 divide 6 - -2*q\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 4*i + 2. Let v be q(-3). Let d = -77936 - -77938. Put d, 5, -2, v in decreasing order.\nAnswer: 5, d, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2317*u**5 + u - 247?\nAnswer: -46340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -5 - (-2 + -3 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18279 - -10679. Round q to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 600, 1089, 1312, 1137, 432, -935, -3096?\nAnswer: -6183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*y - 1758 = -644*y - 547 + 3249 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133 and 1509639.\nAnswer: 200781987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -591 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -481743028 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 0.09. Let w = -0.0199982 + n. What is w rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.1 - 20. What is the smallest value in -0.2, 0.01, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17021 = 17045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-140)\/77 - -2 - 1074\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47.8 + -47.2. Is -18 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.818.\nAnswer: -2.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g - 73184 - 77344 = 0. Suppose -22*c = 2*c - g. What is the greatest common factor of c and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/23, 2\/11, 0, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*((sqrt(80))**2 - sqrt(5)))*-6.\nAnswer: -2850 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 470*m**2\/9 + 2*m\/9 - 470\/9.\nAnswer: -2*(m - 235)*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/6 + (-2)\/6. Suppose 4*b + 1 = 2*j + 29, j + 10 = 4*b. Let n = j + y. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 3*b + 9. Let d be k(-4). Let o = d + 16. Let h = o - -8. Solve -13 = -4*y - y - v, -v - 17 = -h*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.337, 2157?\nAnswer: 0.337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**2 + 261*p - 591. Determine y(-26).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u - 121. Let x be k(18). Solve 2 = s, -2*d - 4 + 20 = x*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.1 (b) 1043\/19 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 37*n**2 + 14*n + 13. Give j(18).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*i - 8. Put i, -4, 3, 5 in decreasing order.\nAnswer: 5, 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -458583114 divided by 1016814\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:20 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**1*z)\/z)**(2\/15))**1 assuming z is positive.\nAnswer: z**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30641?\nAnswer: 13, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 3*k**2 + 2*k**2)*(-2*k - 27674 + 13903 - k**2 + 13853).\nAnswer: k**4 + 2*k**3 - 82*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/(-486)*(-189)\/(-30) - (-3 - 1).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281843551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 18*l - 15*l. Solve -r + 0*r + 4*o = -12, -l*o - 28 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.485298 to one dp.\nAnswer: -20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**5 + 26*i**5 + 4*i**4 - 3*i**4)*(-15 - 8 - 7)*(-3 + 4 - 3)*(-3 + 5 + 0).\nAnswer: 2280*i**5 + 120*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b**3 - 31*b**3 - 5*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 + 4*n. Let g be s(3). Suppose -6 = -2*x - 4*x. Suppose 3*o - 5*d - 11 = 0, -5*d - 19 = -5*o + 6. Solve g*r - x = -o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -369*y - 4. Let v(a) = -471215*a - 5110. What is 5110*u(f) - 4*v(f)?\nAnswer: -730*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22\/7 + 95\/28. Let x(q) = 10*q**3 - 2*q**2 + 1. Let p be x(1). Let l be (-12)\/p*3\/(-2). What is the closest to l in t, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (0 + 2)) + (21 + -30 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/51))**(-2\/13)\/(c**(-22)\/(c\/((c\/((c*c\/c**(-1\/26))\/c*c))\/c*c))))**(13\/3) assuming c is positive.\nAnswer: c**(31883\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*t = 4, -j - j = -4*t - 16. Let q be -2 + j + -4 + 0. What is the common denominator of 3\/q*(-6)\/63 and -37\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0755771 to four decimal places.\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = k - 17, 17 + 12 = 4*k + 3*q. Solve k*p + i = 24, -3*p + 24 = 3*i - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54024 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 + 7*r - 4. Let b be s(5). Suppose 3*l = -50 - 163. Let t be (l - 1)*(-4)\/6. Calculate the highest common divisor of t and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxixxxxxxx. Give prob of picking 1 x and 1 i.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -17, -444, -7, -5.\nAnswer: -444, -17, -7, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15939 is divided by 678?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6531 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 37\/251795?\nAnswer: 37\/251795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/11)*k*k\/(k*k*k\/k**(3\/7)))\/(((k**(-1\/8)*k)\/k)\/(k*k**0*k))*k*k**(3\/4)*k*k**(1\/10)\/k*(k\/k**(2\/5))**(3\/7) assuming k is positive.\nAnswer: k**(2311\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Suppose -2 = -2*w - 0. Let l be k(w). Let o(g) = 2*g**2 + 4*g + 2. Let a be o(-2). Solve -a*q + m = -7*q - 11, l*q - 5*m - 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11874*b**3 + 7120*b**2 + 2*b + 106983698.\nAnswer: 35622*b**2 + 14240*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -953876381228\nAnswer: 953876381226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*o - 0, 0 = -5*f + 4*o + 1791. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) 0.2 (c) -0.06 (d) 1\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + (sqrt(891) - (-1*sqrt(891) + sqrt(891))))*2 - (-2 + (5 + sqrt(891) + -1)*4))**2.\nAnswer: 828*sqrt(11) + 4093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/95629422 and 28\/5349.\nAnswer: 95629422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1. Let p(l) = -4*l - 6. Let f(n) = -p(n) - 6*r(n). Let a(z) = -2*z**2. What is f(a(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l + 12 = 67*l. Suppose -4*s - 262 = f - 1632, -l = -s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, -1, 58 in descending order.\nAnswer: 58, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -21108.\nAnswer: 63324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 10. Let r = 5.6 - l. Let w = r + 2.4. Which is the closest to 0.2? (a) w (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:13 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3603 is divided by 597.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -53. Let r = q + -2. Suppose -3*u - 6*x = -3*x - 3450, 2*u = r*x + 2307. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1456702 greater than or equal to -1456689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -3 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93474709 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 41. Let f(l) = -5*l**2 + 2*l - 162. What is -2*f(v) - 9*w(v)?\nAnswer: v**2 - 4*v - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514997?\nAnswer: 7, 73571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -8. Let p = 10 + q. Suppose 0*a - 2*a + 13 = 5*z, -48 = -2*a + 2*z. Solve -p*i + a = 3*i + 3*c, -3*i - 3*c + 9 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -0.2, 3\/5, 0, -3.\nAnswer: -3, -0.2, 0, 0.03, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 6*k + 8. Let a be m(-4). Solve a = -16*y + 18*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6))\/((40\/72)\/(-5)). Suppose 0 = -5*p + 20, t + 0 = -5*p + 22. Let h be ((-135)\/10 - -3)*2\/(-3). Solve -f - h = -t*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*s + s + 7 = 0, -5*s + 17 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 - 4*t**2 + 6*t**2)*(3 + 0 - 1) + 6*t**2 + 2*t**2 - 32*t - 6*t**2 + (2*t + t - 2*t)*(-3*t - 3*t + 4*t) in the form q*t**2 + i*t + p and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-290)\/(-210) - 6\/(-7))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195773 is divided by 205?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4847565 and -61\/285?\nAnswer: 4847565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*q**3 + 8*q + 9 - 7 - 9*q + (q + 0*q + q)*(-q**2 + 3 - 3) + 0*q + q**3 + 0*q as c*q + t*q**3 + p + f*q**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2\/2 - 2. Let c(r) be the third derivative of -r**4\/6 - 10*r**2 - 2*r. Determine x(c(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*p + 23 = -387*p - 5*b, 17 = -3*p - 4*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.57 + 15064183857.\nAnswer: 15064183859.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 633\/5. Put -1\/5, z, 1 in ascending order.\nAnswer: -1\/5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1208 + 1206. Let r = -6 + 10. Which is the closest to j? (a) -1\/2 (b) -1\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/(r\/((r\/(r\/(r**(-2\/15)\/r)))\/r)))\/((r*r**2)\/((r**(3\/2)\/r*r)\/r*r)))**(-2\/7) assuming r is positive.\nAnswer: r**(229\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i - 1. Let c(h) = -17*h**2 + 4*h + 4. Determine -c(w) - 4*g(w).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0. Let r = w - -0.2. Let h = -185.8 + 186.2. Which is the nearest to 1? (a) -0.2 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1111 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 12*m + 15. Let p be q(-13). Let a(x) = -21*x**2 + 8 - 9*x + 39*x**p - 17*x**2. Give a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 122*g + 7. Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - -3) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 31. Let r be (-3)\/k + 11\/4. Suppose r*x + 45 = 279. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (-27 - -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -4) + 10 - (-4 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (6 - 5)) + (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/3)\/(b**6*b*b)*(b\/(b**(2\/9)*b))\/b**6 assuming b is positive.\nAnswer: b**(-131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*k**3 - 2*k**4 - 114*k**2 - 243*k**3 - 108 + 103*k**3 - 250*k + 52*k.\nAnswer: -2*(k + 1)*(k + 3)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -258 - -172. Let v = i - -201. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g - 3*d = 18 - 6, -53*d = 60*d - 111*d + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 34. Let j be h(-13). What is the remainder when (0 + (-14)\/6)*j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 1. Let k = 14 - 16. Let a be d(k). Suppose 0 = 10*b - 7*b - 105. What is the highest common factor of b and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -34 (b) 5 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-147)\/42 - (-183)\/76 and 41\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = 4*p - 3*p, 3*h + p = 4. Solve -c - 5*q = -3*c + 14, 4*c + q - 6 = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 2916486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e93b (base 15) in base 16?\nAnswer: -311f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 30 = 0. Let t be 2\/g + 207\/27. Suppose -2 = y - t. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*l**3*w - 147846*a**2*w - 2*a**2 - 28*a*l**3*w + 11*a*l**2*w + 3*a*l - 10*a*w - 4*l**3 - l**2 wrt a?\nAnswer: -4*l**3*w - 295692*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from ttnqtnqnytuqtty?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1941 - 1814. Which is smaller: p or 897\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*c - 145, 3*c - 95 = 3*l + l. Solve -6*m = -m + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2. Let s(h) = -18*h + 339. Let l(y) = -7*y + 141. Let w(x) = 12*l(x) - 5*s(x). Determine w(v(n)).\nAnswer: -42*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-45)*21\/56\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -37, -99, -235, -469?\n\"Answer: -4*r**3 - r**2 + 19*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37281083 to the nearest integer?\nAnswer: 6106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10514 <= 0.2764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1752700*r**3 + 1752717*r**3 - 3505377*r**3 + 2.\nAnswer: 40*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2. Suppose -25*s = -10*s. Let l(r) be the third derivative of -1\/24*r**4 + 0*r**3 + 5*r**2 + 0*r + s. What is d(l(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let j = -30448 - -30453. Let i = 0.11 + 0.39. Which is the closest to -3\/5? (a) d (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1857 or -12989\/7?\nAnswer: -12989\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 28. Let h = t + -20. Let b = 23 + h. What is the lowest common multiple of 3 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3a?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o**2 - 18297*o + 2614 = 0. What is o?\nAnswer: -2614, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5144*b**4 + 5419*b**4 + 803*b**2 + 622*b**2 wrt b?\nAnswer: 6600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8309\/10540 + 6\/85. Let k be ((-5177)\/(-3))\/((-100)\/(-30)). Let r = k + -519. Calculate the common denominator of n and r.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 20. Let d(u) = -u + 6. Let g be d(-1). Suppose 102 = m*j + g. Calculate the remainder when j is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 1. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 25. Let h(b) = -7*b + 3*b - 1 + b + 4*b. Let d(a) = 5*h(a) + m(a). Differentiate d(c) with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 x, and 1 f when four letters picked without replacement from xxxmxfmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 + 6. Suppose 0 = -5*v - i + 399 - 118, 2*v - 107 = 5*i. Suppose 3*u = 7 + v. Let p = u - 16. What is d(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 16. Let h be b(-14). Suppose -l = 3*j - 0*j - 2, h*l + 3*j - 13 = 0. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.67986 minutes to milliseconds.\nAnswer: 3040791.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 14 + 158*p**3 + 38*p**2 - 38*p**2 + 12 as d*p**2 + t*p + b*p**3 + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1491, 1297, 973, 519, -65, -779, -1623?\n\"Answer: -65*a**2 + a + 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18374417+-47650\nAnswer: -18422067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/322)\/((-3024)\/7056).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 28 = -5*c, -2*h = 2*c - 3*h - 12. Suppose 4*q + 0 = c. Suppose -y - q = -13. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 151 + 209. Let w be 3*(-25)\/u + -1. What is the fourth smallest value in -25, -1, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/48229, 0.2.\nAnswer: 2\/48229, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 24 = -f, -71*u - 8 = -70*u - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*m - 2*m + 33, 4*m - 14 = 3*i. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88320 = 6*r - 88326 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2581 is divided by 859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -101123?\nAnswer: -101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6633 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9173, 9176, 9179, 9182, 9185, 9188?\n\"Answer: 3*z + 9170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 116*q - 4438. Give s(-46).\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1555058 - 1a7?\nAnswer: -1555254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 3 = 4*x + p, -5*x + 4*p = 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -5 (b) 32508 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*m - 30 + 38*m + 20*m in the form i + h*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 18*m - 32. Let y be b(10). Is (-20)\/30*y + 2140 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -180?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0928 + -150.0928. Let l = q + 150.00442. Round l to four decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*n + 86, 9*n = 4*r + 12*n - 134. Suppose -48 = -8*f - r. Solve -f*c + 4 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 11*x + 20. Let l(a) = a**2 + 10*a + 19. Let q be 7\/7*5\/(-1). Let r be l(q). What is the tens digit of b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 103*u**6\/3 - 437*u**2 - 595*u. What is the first derivative of k(p) wrt p?\nAnswer: 4120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*m + 4*u + 20, 3*m + 4*u = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 16*o + 34162. Let r(d) = 7*d**2. Determine z(r(n)).\nAnswer: -49*n**4 + 112*n**2 + 34162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/3 - w**2 - 10*w. Find the first derivative of h(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.1. Let w = -22.1 - -22. What is the nearest to v in -0.2, w, 4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 57 + 276 - 2*c - 45.\nAnswer: -2*c + 425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98287 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) -0.3 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5954, -5943, -5924, -5897, -5862, -5819, -5768?\nAnswer: -5709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 53*n. Let v be t(-12). Let p = v - 352. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 7*b - 26 + 3 + 2 - 2 - 1 - 7*b - 2*b + 3*b - 2*b + (0 + 5 - 4)*(b + 0*b - 3*b) - 3 - 2*b + 3 to the form q*b + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 + 41 = h + 4*h + 10*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 543536 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5409 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 3*s**2 - s. Let y be q(3). Let k = 2.3 - -0.7. Is y >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let v be f(-1). Let l(i) be the second derivative of 5*i**4\/12 + i**2\/2 + i. Is 9 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*3\/12)\/(((-1333)\/496)\/(-43)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.370695896903 + 5\nAnswer: 10.370695896903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71248080 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -46. Solve h - t + 2 = c, 0*h - 4 = 2*h + 4*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 13*i + 32. Let c(b) = 12*b + 75. Determine c(a(m)).\nAnswer: 156*m + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722538111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/153 and -59\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 3*z**2 - 13*z**3 - 3*z - 4*z + 6*z**2 - 164*z**3 - 43*z**3.\nAnswer: -220*z**3 + 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/7, 0.3, 0.5, 0.04, 0.2, -25.9, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 301924\/3 <= 100640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from isiaszw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3535240*q = 3535146*q + 6580 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 6, -4, -18, 1 in ascending order.\nAnswer: -18, -4, 0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/388983 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10930*c**3*d + 552507*d + 2 wrt c?\nAnswer: -32790*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2146311 and -0.15.\nAnswer: -321946.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31358975 is divided by 123.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749.44 rounded to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 18 = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376523730 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21771.\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*(-5 + 4). Suppose -554*p - 6 = -555*p. Put -1\/3, d, -2\/5, p in increasing order.\nAnswer: -2\/5, -1\/3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 174 - 18773*m**2 + 18774*m**2 - 5*m + 4*m.\nAnswer: m**2 - 2*m - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2145, -2298, -2451, -2604, -2757?\n\"Answer: -153*i - 1992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1588341.72 hours?\nAnswer: 9454.415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 239 = -3*f, 5*f + 3*d - 270 = 129. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 21 + -4 + (-4 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820 divided by -2.\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13643*u**3 - 2*u**2 + 56*u + 359. Let r(v) = -4550*v**3 - v**2 + 19*v + 119. Let l(q) = 8*r(q) - 3*t(q). What is the third derivative of l(p) wrt p?\nAnswer: 27174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -5*y - 12*w + 2065, -4*y = -2*w - 1640. What is the greatest common divisor of y and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 14*o - 13. What is z(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**9\/15120 - s**6\/72 + 3*s**5\/20 - 6*s**2. Let g(h) be the third derivative of x(h). Differentiate g(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 605?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:10 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -116699.543 to the nearest one hundred.\nAnswer: -116700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vmqmvml.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, j: 1}. Give prob of picking 1 j and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 t when four letters picked without replacement from {c: 1, t: 4, w: 1, v: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4084 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 25*y + 124. Calculate a(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 5:38 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79.914 - 0.086. Let j = x - -85. Which is the smallest value? (a) 1\/3 (b) 3\/5 (c) -0.06 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118768804 a multiple of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12312 and 356562?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -38. Let g be (((-72)\/(-14))\/(-6))\/(2\/(-14)). Let x = l - g. What is the remainder when 25 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 25, 60, 119, 208, 333, 500?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 72?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*b - 123*b**3 + 32*b**4 - 34*b**4 + 119*b**3 to x*b**3 + k*b**2 + z*b**4 + a*b + g and give a.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 3*v + 1. Let o be h(6). Let y be o + -1*2\/2. What is the tens digit of 4\/y - 1557\/(-81)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77924411*n**2 + 6900860?\nAnswer: -155848822*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-197)\/13 + 12\/78. Let x = c + 78. Calculate the remainder when x is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210706896 a multiple of 4080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18909.385634 - -8.\nAnswer: -18901.385634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -93*c. Let u(p) = 103*p. Calculate b(u(i)).\nAnswer: -9579*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**3 + 21*s**2 - 54*s - 17. Let b(j) = -j**3 + 4*j**2 - j + 1. Let k(v) = 11*b(v) - d(v). Give k(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1157117086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/36 + (-22)\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/4, -172, 1\/5 in decreasing order.\nAnswer: 1\/4, 1\/5, -1\/3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 152293650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 6*u - 14. Let y be n(-4). Suppose -8*o = -11*o + y. Put 1, -5, o in increasing order.\nAnswer: -5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 44. Let m(f) = 45*f + 2520. Let a be m(-56). Give h(a).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 99047?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*0.067.\nAnswer: -2.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.459632 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/4)*k*k**(1\/3)\/k*(k*k**4)**(-8\/7) assuming k is positive.\nAnswer: k**(-515\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3888554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -194468.\nAnswer: -3\/194468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36776.020007 + 36776. Let v = q + 0.02. What is v rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20244 + 28584. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3844 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y. Let f(o) = -2*o**4 + 3*o**3 + 4*o**2 + 3*o - 2. Let g(c) = -2*f(c) + 6*w(c). Factor g(i).\nAnswer: 4*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (3 - (5 + 14))) + (11 - 15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*y + 61102 + 42893 + 59353 = 4574 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -39, 459 in ascending order.\nAnswer: -39, 88, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = -3*i. Sort -2, i, 1.\nAnswer: i, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14)*(-14)\/(-28)*-7. Suppose -20*x + 105 + 0*x**2 + k + x**2 - 6 = 0. What is x?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.339429 + 168\nAnswer: 169.339429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8113.4 + 8113. Which is the nearest to -1? (a) j (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + sqrt(99))**2 - sqrt(99)) + sqrt(99).\nAnswer: -12*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 + 133*d - 280. What is v(24)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61794 and 48062?\nAnswer: 432558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 84677 divided by -4981\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 194. What is the remainder when l(41) is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r + 41. Let b(a) = -23*a - 38. Determine -8*b(g) - 9*d(g).\nAnswer: -5*g - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2002?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/4 (b) -5 (c) -0.23 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 10*q + 2*s - 104, -s = -10*q + 198. Solve 12*a + b = 8*a - q, 2*a + 2*b + 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-29250)*-13 + (-112)\/(-775)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - (-14)\/6. Find the third derivative of -31*t**4 + 31*t**4 - a*t**6 + t**2 wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(3 + sqrt(153) + (sqrt(153) + sqrt(153) + -3 + -5 - sqrt(153))))**2 + -3 + -3.\nAnswer: -2160*sqrt(17) + 22928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200012110 - 201110201?\nAnswer: -1101200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051110\/(-6870) - (4 - 41)*1?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -h + 40, 0*h - 5*z - 80 = -5*h. Let o = 293 + -153. What is the greatest common divisor of h and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1046)\/(-9) - (-72)\/(-324) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*h = 5*r - 80, 0 = 5*r - 3*h - 115. What is the greatest common factor of 110 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -b - j, -2*b = j - 8 - 58. Let r = b - 16. Suppose r*d = 14*d + 618. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66398389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 39 (b) -1 (c) 170\/451 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -52*j + 320 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t + 5. Let s(g) = 2*g - 1. Let b be (-2)\/(-4)*(-10 + -2). Let c(h) = b*z(h) - 34*s(h). Differentiate c(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h. Let m(n) = -2*n**2 - 224*n. Calculate m(r(b)).\nAnswer: -50*b**2 + 1120*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 41213730 = 41213730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2514257 divided by 1.\nAnswer: -2514257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 363338431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 14. Let z be y(9). Suppose -5*q + 20 = 5*o, z*q - 6 = -o + 6. Let p = 0 + q. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31762447*y - 33096868.\nAnswer: -31762447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 119 - 2292 = 51*o for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5369762 (base 10) to base 11\nAnswer: 3038422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -103. Solve p = -4*f - 5 + g, 3*f = 2*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:29 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11589465?\nAnswer: 3, 5, 772631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4.89 times -4\nAnswer: -19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {i: 3, k: 2, z: 4, t: 6, f: 1, q: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/16)\/(18\/(-40)). Let f(j) = -j. Let s be f(5). Let n(r) = -r**3 - 4*r**2 + 5*r - 5. Let d be n(s). What is the nearest to -1 in d, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13297.\nAnswer: 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1033\/60 + 101\/12. Do s and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t + 0*t)*(2*t - 4*t + 0*t) - 26*t**2 - 1 + 0 + 29*t**2.\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -158355.\nAnswer: 1\/17595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f**3\/4 - 5*f**2\/2 - 29*f\/4 - 3 = 0 for f.\nAnswer: -1, -4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.82 + -0.02. Let g = -8 + p. Let r = -160.4 - -160. What is the biggest value in -3\/4, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.06, 98.\nAnswer: -3, 0.06, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*n + 2*n. Let o be n\/(-14) + 8\/56 + -2. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcgmwxxc. Give prob of picking 1 c, 2 x, and 1 w.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1064*j - 424*j - 1777*j to n*j + d and give n.\nAnswer: -3265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 d when four letters picked without replacement from {d: 7, v: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58023, 58031, 58061, 58125, 58235, 58403?\n\"Answer: 2*i**3 - i**2 - 3*i + 58025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14318 (base 16) to base 9.\nAnswer: -135412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11478679 + 11478680 - 34436046 + 11478687 - 98*w.\nAnswer: -98*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 2*a - 23080 = -2*q, -2*q + 3*a + 23058 = 0. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/3 + 124*p**4\/3 + 1071*p**3 + 24376*p**2\/3 + 47552*p\/3 - 25088 = 0.\nAnswer: -8, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282511 and -13?\nAnswer: 3672643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(2\/11)*w*w))**(3\/17) assuming w is positive.\nAnswer: w**(-72\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/6 + 94001800*b\/3 - 4418169201620000\/3 = 0?\nAnswer: 94001800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 51*o**2 + 29*o + 62. Calculate a(25).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - -2)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o + 7. Let p be z(3). Suppose -6*j + 8*j - 26789 = 3*i, -p*j = 2*i - 53538. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238456734 to the power of 1\/2, to the nearest integer?\nAnswer: 72377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d. Let k = 12 + -15. Let o be w(k). Suppose 2*x - o = 12. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51199354.\nAnswer: 2, 25599677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 - 33250*s - 55278125 = 0. Calculate s.\nAnswer: -3325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 18?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*m + 356. Calculate the highest common divisor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = h, -7 = -3*u + 4*h + 25. Let b(q) = 5*q**2 + u*q**2 - 8*q**2. Let g(k) = 3 + 3*k - 3. Give b(g(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 4, l: 6, y: 1}. Give prob of sequence lygl.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*((9*i - 2*i - i)*(54 - 83 + 64) + i + 0 + 0) to the form l + o*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-23)*(-12)\/(-16464)*(-24)\/(-3)?\nAnswer: 2\/343","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = 7. Let a(i) = -18*i + 583. Let z be a(31). Solve -13*w - 3 + z*w - 147*w**t + 30*w = 0.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 7. Let n be s(0). Suppose -4*i = a + 6, 2*a + 4*i = -12 - 0. Is n != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-229 - -194) + 17 + 42\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18f + 3bee?\nAnswer: 3d7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*s = 62, 0 = 4*o - s + 94 - 174. Solve 78 = o*p + 56 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 7:54 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 106*a**2 - 311*a + 210. Let w be l(103). Solve 0 = -5*i + 2*r + w, -3*r = 185*i - 181*i - 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 17.71.\nAnswer: -3.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -4, -30 in decreasing order.\nAnswer: 0.05, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-142)\/55 - ((70\/14)\/(-5))\/((-11)\/(-2))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0250446496 - 81693.\nAnswer: -81692.9749553504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-88) - (0 + (-1)\/2). Sort t, -1, -2, 49 in ascending order.\nAnswer: -2, -1, t, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, z: 4, j: 2, q: 1, s: 6}. What is prob of sequence szqz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*m - 49, -d + 5*m = d - 83. Suppose 4*a = 5*r - 8, a + 11 = 2*r + 2*a. Suppose 2*l + 24 = r*l. Calculate the remainder when d is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f**3 + 8*f**2 + 8. Let l(q) = 26*q**3 - 5*q**2 - 5. What is -5*h(y) - 8*l(y)?\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((55\/10)\/(-11))\/((-4)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.3. Suppose 94*n - 71*n + 6 = 20*n. Which is the closest to -4? (a) n (b) v (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 4) to base 8\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3811.8 - 3812. What is the nearest to -2\/5 in -30, 0.3, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*n = -333*n + 57. Solve 15 = -n*m + 24*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/3)\/((9454\/(-783))\/(-163)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*15\/(-2)*24\/120?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 7*w - 97*w + 14*w - 13*w.\nAnswer: -88*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1450700 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from ecglfuu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49700 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-12) + 80\/120 - 93\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 499, 972, 1595, 2368?\nAnswer: 3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 16*b = 15*b - 16, -32 = -3*p + 5*b. What is the units digit of (-14)\/p*(2 + 600\/(-28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/60 - 5*k**4\/24 - k**2. Let x = 666 - 661. Let u be j(x). Solve u = 3*w - 15, 4*v - 5*w = -2*w - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.98. Let o = -0.78 + k. Let a = 0.8 + o. Is a < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10525\/8 + 1314. Let w = -7\/24 - j. Let v = 5\/9 - 16\/45. Which is the smallest value? (a) v (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 13480?\nAnswer: -13482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 99*j**2 + 1116*j - 74. Calculate v(-32).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1201 - -1201.4. Let f = -0.08 + 8.08. Let u = -6 + f. What is the closest to -0.2 in u, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.145 - -0.145. Let w = -0.9 - -0.7. Which is the biggest value? (a) z (b) -7 (c) 1\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5826987 * 5\nAnswer: -29134935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0510499173 take away -258515?\nAnswer: 258515.0510499173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**32*a))\/((a**(-19)\/a*a)\/a*a)*(a*a**(-14))\/((a\/a**(-26))\/a) assuming a is positive.\nAnswer: a**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 13\/6*b**4 - b**5 + 1\/15*b**6 + 6 + 36*b**2 + 3*b + 20*b**3. Find k such that q(k) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440263082*0.4.\nAnswer: 176105232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 11368279?\nAnswer: 11368274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54621\/10404*(-348)\/21?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-12) - 172810\/(-120). Suppose -8*j + 5*j = -g. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 32?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-458)\/(-4) + 6\/(-4)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 + 9*b**4 + 1 - 17*b**4)*(5 + 27 + 31) + 4*b**4 - 5*b**4 + 3*b**4.\nAnswer: -691*b**4 + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*165\/(-66)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70914 is divided by 7084?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 27 + 33 - 1 = 47*v, -15 = -3*v + 4*d + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*s - 203*s = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -81344030 divided by -487090?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828075 is divided by 761?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -169283.03 to the nearest 1000.\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 106*v**2. Let o(z) = -422*z. Calculate y(o(s)).\nAnswer: 18876904*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a - 4*s, -6 = -2*s - 0. Let l = a + 10. Suppose -l*w + 10*w = 0. Solve w*r = 3*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12036 + -16?\nAnswer: -12053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41932, 83883, 125828, 167767, 209700, 251627, 293548?\nAnswer: 335463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - t**2 + 0*t**2)*(2*t**3 + 0*t**3 - 3*t**3 - t**3 - 2*t + 2*t + (5*t**2 + t**2 - 4*t**2)*(-3*t + 4*t - 3*t) + t**3 + 0 + 0).\nAnswer: -25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 3*t + 15, -4*o + 241 = 4*t - 249 + 510 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j + 4. Let p(v) = v**2 + 5*v + 2. Let k be p(-4). Calculate the remainder when y(k) is divided by 312\/20 + 2\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -70?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/3 + 212*u**2\/3 - 430*u\/3 + 72 = 0. Calculate u.\nAnswer: -108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 15. Let x = -34 + m. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 2, 0.6, 7045?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8 + 57552*b**2 - 55648*b**2 + 109208*b**2 + 4*b. Let m be f(-6). Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 17 = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/7)))**(-16\/7)\/((c\/c**(-7))\/c*c*c**(-2\/7)) assuming c is positive.\nAnswer: c**(-410\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12732 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 - (-3)\/(-15). Let a = -61\/20 + n. What is the third smallest value in -2\/9, -2\/5, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 259*q**3 + 6*q**2 + 8*q - 9. Let p be i(6). Let s = p - 21636. Suppose 0 = -4*x - s + 4563. What is x rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t - 4*d + 68, 5*t - 3*d + 57 - 13 = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -649 - 0?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*n**2 + 471*n**2 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 1?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v + 12. Let s be 8\/16 - 8\/16. What is the smallest value in -5, v, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 a when four letters picked without replacement from bbbbbbbbabbbabbbbb?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 46*p**2 - 5*p + 8. Let b(v) = -13*v - 24. Let i be b(-2). What are the prime factors of u(i)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -177, 10\/13, 1\/4, 5, -2\/389?\nAnswer: -2\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9183 = 2577639*o - 2577747*o - 759 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*v - 160, 4*v = -b - 0*b + 123. Let x = v - 4. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15*g + 23. Let b(v) = -2*v. Let f(r) = 12*b(r) - 3*t(r). What is the units digit of f(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21771620 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5957 is divided by 1487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -88?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1872) + 0 + sqrt(1872) + 4)*5 - (-4*sqrt(117)\/(sqrt(576) + sqrt(576)*1 + sqrt(576)) + 3))**2.\nAnswer: -5768*sqrt(13)\/3 + 6760237\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9763, 9907, 10051, 10195?\nAnswer: 10339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 12:46 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:32 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:06 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a)*(a - 6*a + 4*a) - 2*a + 2*a**2 + 2*a + (0 + 0 + 2*a)*(-a - 5*a + a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - -5*(-4*sqrt(68) + sqrt(68))) + sqrt(68))\/(sqrt(4) + sqrt(144)\/sqrt(4))*6.\nAnswer: -33*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 0 (c) 5\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2772789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2077 and 804?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and 1101.\nAnswer: -26424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103786 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -34. Let d be (1\/((-2)\/u))\/(-2). Suppose 2*f + 4*t - 8 = 18, -f + 3*t = 7. Solve 3*k = d*h + 21, k + f*h = -25 + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*c = -45, 15 = -0*c + 3*c. Let s(v) = -3*v - 39. Let a be s(-14). Suppose p + 24 = a*p. Solve -5*l - 10 = -k*f, l = -3*l - p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051558265 + 164?\nAnswer: 7051558429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:03 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 + 6 = v, -v = g - 6. Let l(n) = 29*n**2 + 10*n - 57. What is the hundreds digit of l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68548546 is divided by 5258.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - 9*l - 3*l to the form x + c*l and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-4)\/(1\/4). Let v = 9 + d. Is 4 a factor of 2\/v + 120\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*g + 199*g + 13354 - 934 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 1, z: 12, m: 2, u: 2}. Give prob of picking 2 z and 1 m.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 8*d - 22. Let s(v) = v**2 - 7*v - 21. Let g(i) = 5*s(i) - 4*y(i). Is g(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 3. Let t be r(-5). Let l = 6 + t. What are the prime factors of ((-42)\/9)\/(l\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 34*q**2 - 207*q + 22. Let v be j(6). Solve 3*f - 4*s = v, 139 = f - 5*s + 145 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -17\/232837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g. Let t(p) = 14240*p - 623. Let u(b) = -137*b + 6. Let y(o) = 6*t(o) + 623*u(o). What is w(y(s))?\nAnswer: -623*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 302197\nAnswer: -3\/302197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 23*n**2 + 19*n - 19. Let i(u) = -7*u**2 - 6*u + 6. Let a(x) = 2*f(x) + 7*i(x). Let j(t) = -t**2 - t + 1. What is a(b) - 4*j(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-306)\/(-27))\/(2*(-2)\/6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11638677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:36 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xmxrmmme.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 12*g**2 + 13*g + 11. Give n(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42537 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - t + t)*(71523*t + 60 + 18 - 4606*t - 78) to the form d*t**2 + g*t + y + r*t**3 and give r.\nAnswer: -66917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b0a9d (base 16) in base 5?\nAnswer: 1442304331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*f - 5, -5*x + 2*f = 3*f - 9. Find the second derivative of t + x*t - t**3 + 3*t**4 + t**3 wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -138*k**2 - 48972 + 1428*k + 234*k**2 - 134*k**2. Let x(p) = 8*p**2 - 286*p + 9794. Let f(z) = -6*s(z) - 28*x(z). Solve f(h) = 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + 0 + 7 - 7.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 2*i + 15, 9*h + 73 = -2*i + 106 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t**4 + 2838*t**3 + 30564*t**2 - 31878*t - 1587 = 0. What is t?\nAnswer: -23, -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*n = 553, -3*r + 2*n + n = -336. Let s = r + -98. Calculate the remainder when 36 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016385 rounded to 4 decimal places?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2117 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 11:35 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319291.8ng to tonnes.\nAnswer: 0.0000000003192918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (0 - (13 + -6 - 13)) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1532 and 22597?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66924 + -2141309\/32. Which is smaller: 8 or x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:37 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 1 i when three letters picked without replacement from xzbzxijebiex?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 59*n + 60*n + 2 = -0*c, 0 = -24*n + 29 + 53 + 14 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1093691\/18 >= -60761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*(sqrt(1700) + 4))**2 - (((sqrt(170)*1)\/sqrt(10) - sqrt(17))**2 - ((sqrt(170)\/sqrt(10) - sqrt(17) - sqrt(17))*-4)**2))*-2.\nAnswer: -4106 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 - 5851*u + 34109. Calculate b(830).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-g + g - g)*(7 + 2 - 3) + g + g + 0*g)*(2*g**2 + 0*g + 0*g) to the form b*g + v*g**2 + p*g**3 + l and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let c(v) = -794*v + 16. Let u(b) = -265*b + 6. Let k(l) = -7*l - 3. Let d be k(0). Let t(q) = d*c(q) + 8*u(q). Determine t(f(y)).\nAnswer: 262*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75718 divided by -137.\nAnswer: -75718\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 924 = 24*u - 31*u. Let p = 187 + u. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 243990961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -73*q**3 - 6*q**2 + 22*q + 6906. Let r(i) = 37*i**3 + 3*i**2 - 12*i - 3476. Let n(m) = -5*r(m) - 3*t(m). Differentiate n(b) with respect to b.\nAnswer: 102*b**2 + 6*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299444309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*u**2 - 164032*u - 141464192 wrt u.\nAnswer: -320*u - 164032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -287 in ascending order.\nAnswer: -287, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*((-2522)\/(-3900) + (-9 - (-50)\/6))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 16*i + 3)*(5 - 9 - 9) to h + y*i and give y.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 7*o**2 - 2*o + 6. Let w be h(7). Suppose -34 = 4*z + 30. Let y = w - z. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -611127824 + 2?\nAnswer: -611127822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -154, -14, -3, -5 in decreasing order.\nAnswer: 3, -3, -5, -14, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001508 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.5272021?\nAnswer: -2.1088084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 + 4 - 2 + 7*x**3 - 21*x**3 - 4 to c + w*x**3 + i*x**2 + d*x**4 + n*x and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {s: 1, g: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) -5 (d) 118 (e) 3 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124054 is divided by 38758.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09491 take away 0.4?\nAnswer: -0.30509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8330705 is divided by 2082675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:13 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39815 + -39814.999935686. Round k to seven decimal places.\nAnswer: 0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Suppose -3*i + f*i = -5. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768200000 = -0*v - 23*v. Round v to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:05 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 + 7*b - 18. Let v be l(6). What is the greatest common factor of v and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 11*y. Let m(q) = -q**2 - 3*q. Suppose -2*p = 4*u + 150, -p = -u + p - 30. Let s = 42 + u. What is s*h(d) + 22*m(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9*(110\/297)\/(2\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14995 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*j + 3*u, -4 = -4*u - 0. Suppose -j = -2*n - 1. Solve 3*t + t + 20 = n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5)*(-1070)\/(-107)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5196 times 1\nAnswer: -0.5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2448)*1)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.9. Let b = -6 - -11. Let l = 0.1 + -4.1. What is the second biggest value in l, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h + 404. Let w be b(21). Calculate the greatest common divisor of w and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.128448 millilitres to litres.\nAnswer: 0.007128448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 18*v - 843. Determine d(-37).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*w**2 + 916*w**2 + 0*w + 2*w + 2651*w**2.\nAnswer: 2776*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 72. Suppose -4*r = 2*j - z + 9, -4*j - 3*r = -93. Suppose 18 = t - j. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/3 + 11*f**2. Let q(a) = 6*a**2 - 5*a. Let x(o) = o**2 - o. Let l(j) = q(j) - 5*x(j). Give y(l(m)).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 18 = 4*x, -3*x = 5*l - 4*x - 54. Let y = 587 - 475. Let z = y - l. What are the prime factors of z?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:00 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let t = 668 - 1315. Let r = -643 - t. What is the remainder when r is divided by s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-9))\/((-5)\/15). Let b be (-2)\/(-4)*f\/1. Solve -7\/2*y + 1\/2*y**b + 9\/2*y**2 + 1 - 5\/2*y**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-26))\/(613\/7969). Let j = 0 - 0. Let g = 0.08 - -4.92. What is the smallest value in q, j, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from zuzzzzuzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8024)\/590)\/((-8)\/20).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -196 + 196 + 10*h. Let s(i) = i. What is o(s(z))?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13158 divided by -102\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189107548?\nAnswer: 2, 7, 6753841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342900*j**2 + 342809*j**2 - 1028866*j**2 + 342991*j**2.\nAnswer: -166*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1545 + 1548. Solve 4*y = l + l + 18, r*l = y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 916276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 7*f**2 - 8*f + 2. Let g be x(8). Let k be (-1)\/((-7)\/3 + g). Let w = k - -2. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2210 = -11*h - 61*h - 58*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*t + 37656 = -48*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 553\/49 + 4\/(-14). Suppose -l = -5, -f - 8 = 3*f + 4*l. Let j = x + f. Solve 0 = -j*b - 4*k + 8, 3*b = 2*k + 3*k - 34 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 3*j - 7. Calculate r(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*c + 43 = -4018 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**18\/t*t**6 assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 3\/4 (c) -0.4 (d) 35.1 (e) 11 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1)*4\/(-12). Let p be 1071\/126 - (-2)\/(-4). Let v = p - s. Solve -v*f = -6*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -71587 and -71911 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261338 = 1417*c + 4132*c + 11633 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 6763213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249.3379 + -0.2879. Let i = t + -249. Suppose -15 = 3*g, -g + 0 - 25 = -4*j. Sort i, j, -5 in ascending order.\nAnswer: -5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364239 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 24934*y + 947497. Calculate g(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 + g + 2. Give w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.56 and -2.0263512718.\nAnswer: -1.4663512718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x. Let u be s(-1). Let p(v) = v**3 - v + 36. Let t be p(0). Suppose -t = -3*h - u*f, -4*f - 14 = 5*h - 66. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -312833 in -0.1, 2\/9, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.046 (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**5\/7 - 302524*v**4\/7 + 5715357176*v**3\/7 + 177389711224*v**2\/7 + 208534308060*v + 1288066104900\/7 = 0.\nAnswer: -15, -1, 37831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/2507 - 238201\/45126. Let a be (-10 - -8)\/((-2)\/(-163)). Let z = -3585\/22 - a. What is the common denominator of z and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13436 and -3\/58 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 32*b - 3. Let c(t) = -2*t**2 + 96*t + 8. Let i(q) = -3*c(q) - 8*u(q). Let s(w) = 2*w**2 - 3*w**2 - 2*w**2 + 2*w**2. Calculate i(s(v)).\nAnswer: -2*v**4 + 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23035 (base 7) in base 3?\nAnswer: 22000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23318 and 2096.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/9 (c) 419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 54009.\nAnswer: 54009.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5958, 11918, 17878?\nAnswer: 23838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 26075\/1802?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 = -74. Let a(z) = -119*z + 54. What is the remainder when a(-1) is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -8.47\nAnswer: 16.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296 divided by 6?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 0 + -12 - (-2 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/66 - (-46)\/11. Is 42\/(4\/h) - 0 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*b = -0*b - 19, 0 = 5*b + 15. Suppose -1 = w*s + 24. Which is bigger: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -60*c**2 + 35*c. Let t(v) be the first derivative of -5*v**3\/3 + 3*v**2\/2 - 36. Determine 3*d(n) - 35*t(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h*t**3 + 118*h*t**2 + h*t - 3*h + t + 3 wrt t.\nAnswer: -42*h*t + 236*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2. Let o(t) be the third derivative of 0 - 8*t**2 - 1\/3*t**4 + 0*t + 0*t**3. What is q(o(v))?\nAnswer: -384*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(-5 + 1 + sqrt(75) + 0) + -1.\nAnswer: -21 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6570, -13127, -19656, -26145, -32582, -38955, -45252?\n\"Answer: 2*y**3 + 2*y**2 - 6577*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 10*t**2 + 15*t - 6. What is the tens digit of j(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 22*o**2 + 364*o + 5. Let g(h) = 13*h**2 + 183*h + 3. Give 7*g(d) - 4*y(d).\nAnswer: 3*d**2 - 175*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 813 = -833 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-18224)*5695\/170.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 92, 68, 6, -106, -280, -528, -862?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*g - 1496 = -2048 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 5*g + 4*g)*(4*g + g - 3*g) + 5 - 5 + 6*g**2 in the form z + l*g + o*g**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:03 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 0.311?\nAnswer: -3.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -192*r - 11467. Calculate l(-63).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:02 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8234.4 - -6031. What is d rounded to the nearest 10?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114183, 114177, 114169, 114159, 114147, 114133, 114117?\nAnswer: 114099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.3, -4, 2, -2.05, 1 in ascending order.\nAnswer: -4, -2.05, -0.3, -0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69406 is divided by 2776.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 7616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*s - 6348 = -24996. Calculate the remainder when s is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -791.\nAnswer: 12\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22886 * -7.\nAnswer: -160202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (12\/(-16) + (-46)\/(-8)). Sort t, -11, 5 in decreasing order.\nAnswer: 5, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-270) + 326\/18. Suppose 0 = 3*f + 4*x - c, -2*x = 2*f - x - 12. Solve 0*h - f = -2*h - 2*l, -5*h = -5*l - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8218963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 78 + 132 = -3*y + 149, -3*y = 2*p + 26 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -1.1. Let t = 10 - 9.5. What is the nearest to 1 in t, s, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2134.99 + -428329601.\nAnswer: -428327466.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23188\/(-1488)*(-117)\/(-429)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 12*k = 13*k. Solve -q + 0*y - 2*y - 6 = k, -5*y - 28 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147802547 rounded to the nearest one million?\nAnswer: -1148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4ca1 - -2?\nAnswer: -4c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 + -5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4912 is divided by 182?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-10))\/((-72304)\/(-1581650))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -30*w + 7. Let q be 2\/(-2) - (-1 - 2). Let h = q - 9. Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.5, -1.921, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (29 - (33 - 1)) + 37\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 87 = -68*o + 65*o, -39 = 3*f - 0*f - 15*o for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 41.87?\nAnswer: 711.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*2*6)\/sqrt(9))**2 - (sqrt(10) + sqrt(10)*1*-1)\/sqrt(5).\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 544836645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024655 rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 54*k**2 + 118*k - 32. Calculate j(29).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 + (3 + -1 - (52 - (-2 - -1))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 0.081, -312, -4, 0.1, -2\/13?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 20*a**2 - 21*a + 3. Suppose -3*g - 47 = -2*g. Let d = -31 - g. Is j(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 19*r + 33 = 0. Suppose 8 = -0*f + 4*f. What is the least common multiple of r and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6 - 9 - q + 6. Let m(i) = 10*i - 2*i - 2*i - 6 - 4*i. What is 6*m(j) + 11*s(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 4*p + 7. Let q(g) = -g**2 + 5*g - 8. Calculate 2*q(i) + 3*z(i).\nAnswer: 4*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157671.9999810878 - 157672. Round b to seven dps.\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1321901*d - 2643811. Determine f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 30*d + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 315.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, 5*m - 30 = -0*m - 5*c. Let i(y) be the second derivative of y**4\/12 - 7*y**3\/6 + 5*y**2 - 4*y + 3. What are the prime factors of i(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.9 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/18 and -71\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5003, -8756, -12509, -16262, -20015?\nAnswer: -23768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -34412002?\nAnswer: 34412011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.66917nm in millimeters?\nAnswer: 0.00006066917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (1 + 0 - 1). Let n be 13*2*f\/18. Suppose 46565 = -26*t + 46669. Does t = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -9. Let c = 9 + f. Suppose c = 5*d - 134 - 41. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 47975670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252519407*n**3 - 178760948*n**2.\nAnswer: 1515116442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3560)\/(-44) + 232\/616 + (-396)\/1386?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 4420*k + 2247225 = 0. Calculate k.\nAnswer: -1245, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07038 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -19\/455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 1584*f**2 + 1586*f**2 + 1 - 4*f + 4*f**3 in the form m*f + a + j*f**2 + o*f**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-3))\/((-3)\/6) - 0. Which is the second biggest value? (a) s (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301498190*t**3 + 3 + 301498189*t**3 - 3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = 6*b - 253 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 32. Let n be (-2)\/f - 116\/(-16). Solve g - 1 = 5*o, n*o = -5*g + 4*o + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205007 by -17.\nAnswer: 205007\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, l: 13}. Give prob of sequence qq.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1421*o - 288*o**3 - 1421*o + 285*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(7) - sqrt(35)\/sqrt(5))*-3 - sqrt(7))**2 + sqrt(7).\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + 52\/(-819). Let g(r) = 44*r - 3. Let y be g(2). Let q = 337\/4 - y. What is the nearest to -1 in x, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16438607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3 + 403295*o**2\/4 + 214259*o\/2 + 25207\/4 = 0.\nAnswer: -1, -1\/16, 25207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84488947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(-5*(sqrt(242) - (sqrt(242) - (-1 + sqrt(242) + sqrt(242))**2)) - (sqrt(242) + (sqrt(242) - sqrt(242)*-1*-2)))*6.\nAnswer: -1320*sqrt(2) + 29069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88.387 - 88.3. Let g = v + -0.13. Which is the second biggest value? (a) g (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/(4\/6). Let x be h\/(-2)*(-12)\/2. Put 1, 5, x in increasing order.\nAnswer: 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 - -3. What is the biggest value in 0, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -57. Calculate the least common multiple of k and 25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5211521?\nAnswer: 7, 744503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let n(y) = 2*y + 12. Let x(m) = 4*n(m) - 9*s(m). Let k(w) = w + 5. Calculate 6*k(t) + 5*x(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18616 (base 10) to base 5\nAnswer: 1043431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 377, 166, -261, -976, -2051, -3558?\nAnswer: -5569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 41. What is the smallest common multiple of 27 and a?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.271 rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tphh when four letters picked without replacement from pthhtthkhjptphh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:23 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*s - 3*c, 5*c = s - 0*c - 22. Let f = s - -1. Is 12 a factor of ((-2)\/(-4))\/(f\/(-104))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 10*v - 12*v + 1242, 0 = -3*v + 4*c + 1857. Is 41 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2198208 divided by -183184\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzzzzqqzzzqzqzz. Give prob of picking 1 z and 1 q.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578182?\nAnswer: 2, 11, 41, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5))**(-1\/53) assuming u is positive.\nAnswer: u**(4\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2960 - -1888. Let n be 3084\/10*(-20)\/(-4). Let d = h + n. What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 12) + 3 - (14 + 10 + -49)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 4. Let k(m) = m - 3. Let z(l) = -4*k(l) - 3*w(l). Let o = 7 - 12. What is z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5))**(-17))**9*(f**5*f**(-1\/4)*f)\/((f*f\/f**(-6))\/f**7) assuming f is positive.\nAnswer: f**(-1741\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 119.\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7267.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 4 + 3 + (51 - 99)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/2*-226*11\/33. Let n = m - -455. Solve n*i + 27 = -5*f, 3*f = i - f - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 + -69. 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 h = -0.16 - -0.18. Let o = 0.52 - h. What is the second biggest value in 0.4, -3, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 3)**2 + -4.\nAnswer: 48*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 41*g + 10*p = -55, g + p + 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7493 - 7493. Let l(y) be the third derivative of 1\/6*y**3 + 1\/60*y**5 - 29*y**2 + 0 + 1\/12*y**4 + a*y. Solve l(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.753, 4, 4.2, 1\/3, 0?\nAnswer: 0.753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p + 4. Let u(c) = 54*c + 3 - 95*c + 49*c. Suppose 0 = 3*l - 6*g + 5*g - 13, 3*l = 3*g + 21. Determine l*u(j) - 2*f(j).\nAnswer: 8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17*i + 30. Determine c(10).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v + 2. Let c be t(6). Let s be (c\/(-40))\/((-1)\/30). Suppose 0 = p - s + 8. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351032654 + -2?\nAnswer: -351032656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -482985 divided by 53665?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrlnllnrnlrn. What is prob of picking 1 l and 1 n?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -287183.\nAnswer: -57436.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324756 and 108?\nAnswer: 324756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5685.739 weeks?\nAnswer: 955204.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60996 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 866*j**3 + 7381*j**2 wrt j.\nAnswer: 5196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2517 by -5272.\nAnswer: 2517\/5272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -9*k + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 4*z + 28, 14 = -5*x - 3*z. Suppose -y + 3*o = -0*o + 2, -12 = -5*y + 4*o. Let g = y - x. What is the remainder when 15 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + z**2 - 3*z**2 + 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*q = -40, 4*a - 4*q = -2*q - 30. Put a, 0, -23 in ascending order.\nAnswer: -23, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20230 and 2240?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j. Let s(h) = 8584*h. Give s(q(x)).\nAnswer: 42920*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 - -2553. What are the prime factors of i?\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51127 divided by -131.\nAnswer: 51127\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjgp when four letters picked without replacement from {r: 1, p: 1, j: 1, z: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9791*p + 387244 + 454782 = 0 for p.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10911 (base 11) to base 16.\nAnswer: 3d7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 228, 2128, 5294, 9726?\n\"Answer: 633*u**2 + u - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 104*r + 21919. Give m(-211).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4689858?\nAnswer: 2, 3, 17, 45979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i**2 - 79*i**2 - 105*i**2 - 3*i**2.\nAnswer: -146*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10313004420 + 3?\nAnswer: 10313004423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 + 40*a**2. Let t(c) be the second derivative of 31*c**4\/3 + 2*c - 21. Give t(x(g)).\nAnswer: 124*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 2*i**2 + 70. Let c(t) be the first derivative of 0*t + 1 + 0*t**2 - 1\/3*t**3. What is c(j(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/572)\/(9*102\/72)?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 - 11 = 0. Let c(r) = -r**2 + 11*r - 14. Let i be c(11). Let k = i - -4. Sort x, 4, k in ascending order.\nAnswer: k, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(44) + sqrt(176)\/sqrt(4)) + 2*sqrt(704))*2)\/((1*sqrt(160))\/(sqrt(10) + sqrt(70)\/sqrt(28))) + -1.\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let r(c) = 5*c**2 - 11*c - 11. Let g(m) = 2*m**2 - 4*m - 4. Let n(q) = -11*g(q) + 4*r(q). Determine v(n(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o**3 + 24*o**2 - 149*o + 19. Is q(11) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Let s = -34.9 - -35. Which is the closest to s? (a) 0.3 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d + 4 = 0. Let k = 719 - 688. Put k, 5, d in descending order.\nAnswer: k, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1362608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000838405 rounded to 6 decimal places?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -3*w**3\/2 - 2*w**2 + w - 1. Let q(z) be the first derivative of g(z). Calculate the remainder when q(-3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 127*n**2 - 210*n - 245. Is s(-131) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 119?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 68\/(-2))\/1. Let f = -13 - k. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 0, 3.\nAnswer: -211, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4577 and 0.0321?\nAnswer: -0.01469217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*2\/3*60\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 30 + 21 - 12 - c. Is i(11) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 5*v**5 - 2*v**5 + 0*v**5 + 0*v**5 + 3*v**5 + (-2*v + 5*v - 2*v)*(-2*v**4 + v**4 + 2*v**4) + 0*v**5 + 0*v**5 - 2*v**5.\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*y + 57*y - 1693 + 7111 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 42. Suppose 0 = -0*w + w. Let u be n(w). Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, u: 9}. What is prob of picking 3 b?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 13. Let o = 39 - 46. Let f = 0.6 + -0.7. Which is the closest to f? (a) -0.1 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqcr when four letters picked without replacement from rqrdrcqrqcddjrr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529988.\nAnswer: 2, 37, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -6, 0.2, -0.12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, -0.21, -35.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 11*m**2 + 10*m. Let d be f(-10). Put -3, d, 84, 4 in decreasing order.\nAnswer: 84, 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 0, 0 = q - 25*o + 20*o + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 3\/9)\/(((-77)\/(-198))\/(-7)). Let t = 3\/55 - 5\/11. What is the closest to v in -3\/7, t, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/5, 2, -5, 1\/790, 0.06 in descending order.\nAnswer: 5, 2, 4\/5, 0.06, 1\/790, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 + 7*r**2 - 5*r - 23. Suppose 3 = t, -4*t = -4*g - 0*t + 16. Let i(x) = 3*x**3 + 3*x**2 - 2*x - 12. Let s(d) = g*i(d) - 4*m(d). Determine s(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89077930 < 89077923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:48 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m. Let d(x) = 5*x - 172. Let s be d(35). Suppose -7*q + 3*q + 174 = 3*y, m = -s*q. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let j be (-32 - 17342\/(-546))\/((-2)\/((-12)\/(-5))). Sort j, r, 0.3 in decreasing order.\nAnswer: r, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*p + 25 = 0, 3*t + 2*p - 14 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*5\/10*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(22\/(2002\/13))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37886, -37887, -37888?\nAnswer: -37889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 9*l + 55 - 58 - 138, 4*y + 3*l - 60 = 177 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 10*i**2 - 10*i + 16. Let h be j(-11). Sort 2, 428, h.\nAnswer: 2, h, 428","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/42)\/((-12)\/(-27))*-2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 13}. Give prob of sequence fy.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183698 to the power of 1\/2, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 24*v**2 - 31*v - 26. Let o be q(25). Let x = o + 790. Suppose -8*u = -x - 562. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000099112 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21301 (base 9) in base 7?\nAnswer: -56044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 849430*p**2 - 849429*p**2 - 9*p - 240 + 31*p.\nAnswer: (p - 8)*(p + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440*t - 38339 + 38339.\nAnswer: -1440*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/4*(-28)\/(-21). Let x(l) = 31*l - 8. What are the prime factors of x(q)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-16)*(13 + -1). Let s be (-1*7)\/((-3)\/r). Let y = 17 - s. Solve 2*i + 5 = y*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 49. Suppose t - 4*t = 0. Let d be j(t). Let x = 293\/6 + d. Which is the second biggest value? (a) x (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 4 (b) 2 (c) 1\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/(-2 - (-6)\/2 - 728\/546)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10504959, -21009936, -31514913, -42019890, -52524867?\n\"Answer: -10504977*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(3\/1)\/3. Suppose f*i - 3*i = 0. Suppose i = -5*u + 25, -k = -u - u - 4. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6. Let c be z(-8). Let p be (-1722)\/30 - c\/(-5). Let f be p\/(-108) - (-4)\/18. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43865, 64772, 85679?\n\"Answer: 20907*f + 22958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33914089 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -32 + -39 - (-14 + -1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 5:43 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 10:48 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**5 - i**3 - 5*i**2 + 2. Let o(b) = -14*b**5 - 5*b**3 - 25*b**2 + 10. Let u(v) = 2*o(v) - 11*p(v). Find the third derivative of u(q) wrt q.\nAnswer: 300*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.8 - -27.8. Which is the smallest value? (a) -0.1 (b) g (c) -5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74880 by 156.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6*(-9)\/2. Calculate the greatest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 3\/2, 4\/3, 5, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 3*m**2 - 3*m**2)*(4 + 1 - 1 + (1 + 2 - 2)*(1 + 49 + 88)).\nAnswer: 142*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -478, -1844, -4086, -7198, -11174, -16008, -21694?\n\"Answer: h**3 - 444*h**2 - 41*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19650 and 917?\nAnswer: 137550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127\/15 - 7. Let m(c) be the second derivative of b*c**6 + 19\/5*c**5 + 2*c**2 + 5\/21*c**7 + 16\/3*c**4 - 2*c + 13\/3*c**3 + 0. Let m(u) = 0. What is u?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*t - 6, 2*i + 28*t - 19 = 31*t. Solve -2*q = i*b - 6*q + 18, 3*b = 3*q - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -250*b**4 + 1021*b**2 - b - 111549.\nAnswer: -3000*b**2 + 2042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136 divided by 16?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -29*n**6\/30 + 25*n**2\/2 - 11*n. What is the first derivative of q(g) wrt g?\nAnswer: -116*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99, -180, -263, -348?\n\"Answer: -k**2 - 78*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.91 - -37.29. Let k = m - 38. Which is the fourth biggest value? (a) k (b) -3\/7 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let f = -46 + 47. Let r(t) = -39*t**2 - t - 5. Let a(p) = f*r(p) - x(p). Find the first derivative of a(v) wrt v.\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2\/s)\/(s**(1\/11)*s))**(-21)*((s\/(s\/(s\/(s\/s**(-2))))*s)\/s)\/s*s*s**(-2\/3)*s*(s*s*s*s**3*s*s)\/s**(2\/3) assuming s is positive.\nAnswer: s**(-443\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/3 - 6\/9. Let l be (4 + i)\/(-1*1). Solve -l*h - 17 = 4*f + f, -2*h + f = -9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 3*i - i)*(-26*i + 9*i - 8*i) - 85*i + 85*i + 27*i**2.\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let y(s) = 6*s - 37. Let z be y(7). What is the second derivative of h*n - 20*n**2 - 6*n**z - 9*n + 20*n**2 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6763*y + 24. Let p be v(14). Let n = p - -53372. Let u = -359078 + n. What is u rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 9*b + 2093. Let h = b - -180. Solve 0*i + 4*t = i - h, 3*t + 18 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 28*g**2 - 1040*g.\nAnswer: 4*g*(g - 13)*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + r + 14, 3*r = -m + 4*r + 6. Solve -m*c + 4*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153161 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 14 - (8 - (-2 - 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -45. Is -25\/29 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 98012660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(1584) - sqrt(1584))**2 + -4 + 0.\nAnswer: 9500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20307 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -61, -13, 69, 197, 383, 639, 977?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23009764 from -5.\nAnswer: -23009769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/25*((-17010)\/(-3969))\/((-3)\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273560449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {q: 2, j: 2, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 166 = 182. Let b = -813 - y. Round b to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/7, -1, 850\/13, 3\/4 in ascending order.\nAnswer: -1, 3\/4, 20\/7, 850\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15671 is divided by 3165.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c**(-9)*c*c**1*c**(-2\/15))**(1\/13) assuming c is positive.\nAnswer: c**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1841*s**4\/4 - 2473*s**3\/3 - 1812. Find the third derivative of l(z) wrt z.\nAnswer: 11046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056385206?\nAnswer: 2, 3, 59, 251, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t = 99*t - 405 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:34 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 2 m when four letters picked without replacement from {v: 1, l: 2, m: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 5. Let d = -51 - -55. Let q(i) = -2*i - 9. Let j = 24 - 37. Let r be (j\/(-2) + -3)*-2. Give d*q(p) + r*g(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-9)*2\/(-2)*-2. Let l = -0.2 - 0. Let c = -296 - -296.1. What is the smallest value in c, l, -0.07, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -111, -4, 2, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -171 in decreasing order.\nAnswer: 4, 1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 102 = -9*z. Let q = -67\/4 - z. What is the second biggest value in 2, -2\/21, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 13. Let q be u(7). Suppose -2*l + 3*t + t - 4 = 0, -5*t = 2*l - 5. Suppose -5*a - z + 53 = l, z - q = -3*a - z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -56193640.\nAnswer: -56193606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 1. Let u be a(-6). Suppose 0 = j - 1 - 2. Solve -j = -k - u*v + 8, -4*k = 2*v - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208552 is divided by 1458.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*u - 4*u. Solve u = 3*m, q - 2*m + 4*m - 13 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20057 by -310.\nAnswer: 647\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4020)\/67)\/((-30)\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/69 or 9495602?\nAnswer: 9495602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggrk when four letters picked without replacement from {k: 2, r: 1, g: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4978604 divided by 4\nAnswer: 1244651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 smaller than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12113 = 2*z, -15*w - 5*z + 20180 = -10*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.6136 less than -96?\nAnswer: -43.3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -61*i**2 - 14 + 20*i**3 - 4*i + 125*i**2 - 62*i**2. Let r be c(5). Suppose -4*g + 0*g = -r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 2284908*k + 652600571058.\nAnswer: 2*(k + 571227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5585 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*x + f + 10, 5*x - 5*f = -25. Let y(h) = -2*h**2 - 3*h. Let p(u) = u**2 + u. Give x*p(t) - 3*y(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1592830?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*p + 185*p = 6884 - 832 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -19*m + 18*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 5*c**2 + c + c + 1)*(-141 - 5 + 28)*(0*c - 3*c + 2*c).\nAnswer: -236*c**3 + 236*c**2 + 118*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*z**3 - 74*z**3 - 24*z**3 + 2*z**2 - 45*z**3 - 2*z**2.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 230 - 695 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i - 26. What is w(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2 - -4) + -4 - (-27 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4348 rounded to 1 dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygygyggyyy. Give prob of sequence ygg.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106998.479 rounded to the nearest 10000?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by -52\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 + h + 4. Let k be j(0). Solve 6 = -2*z - 2*i, 3*z - 2*z + k*i + 18 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 7*d**2 - 10*d - 11. Let n be l(-8). Suppose n*p + 4 = 19. Suppose 4*i = -20, -58 = -p*h + 5*i + 135. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 465 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a**(-2\/7)\/a)**(-8) assuming a is positive.\nAnswer: a**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -36. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -75. Suppose -1 = -s*u + 62. What is the greatest common factor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k**(2\/37))\/(k**(-3))**(5\/11) assuming k is positive.\nAnswer: k**(-1909\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438*j**3*l - j**3 - 11*j**2*l - 4*j**2 + j*l wrt j?\nAnswer: 2628*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/12033 and -117\/2674?\nAnswer: 24066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysky when four letters picked without replacement from zkkkkdkyssddsds?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 12*p**2 - 32*p - 125. What is a(-5)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -0.4, 4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80783*a*q**3*z**3 - a*q**3*z - 3*q**3*z**2 + 4*q**2*z**3 - 300*z wrt a?\nAnswer: 80783*q**3*z**3 - q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 83927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*p + 5*g = -157*p - 1, g = -2*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {x: 1, u: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 287 and 1358.\nAnswer: 55678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13610882751.8 + 13611330113.522887. Let d = 447362 - x. Let q = d - 0.277. What is q rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:58 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7032020, 14064047, 21096068, 28128083, 35160092?\nAnswer: 42192095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**21\/b)*b*b**(2\/63)*(b**(-8))**15 assuming b is positive.\nAnswer: b**(-8755\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 614 and -367.39375?\nAnswer: 981.39375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 86. Let c = g + -32.99999981. Round c to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(25 - 7) - (20 + -22 + (-4)\/(-6)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166361 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 24*t + 124. Let y = t - -5. Does 18 divide (8*y)\/(-4) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.357 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 6*n**2 - 45*n + 12. Let g(i) = 2*i**3 + 6*i**2 - 45*i + 9. Let f(k) = 4*g(k) - 3*l(k). What is the second derivative of f(p) wrt p?\nAnswer: -6*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 20 = -5*j, 4*j = -2*b - 28 + 12. Suppose b = -o, -f - 12 = 2*f - o. Calculate the remainder when 62\/f*(-7 + 5) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -353028725\/6 or -58838122?\nAnswer: -58838122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-4)\/(-10)*12950\/259.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143 (base 9) to base 8.\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(20\/(-12))*5 + 1. Let m be (-3)\/42*(-4 - r - -10). Let g = -0.05 - -0.1. Sort m, -3\/4, g in increasing order.\nAnswer: -3\/4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 73 - 95. Suppose -5*k + 3*b + 80 = 0, 5*k - 79 = 5*b - 9. Solve -n*d = -k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + i**2 - 2*i - 1. Let r(d) = -3*d**3 + d**2 - d - 1. Give -7*r(j) + 6*s(j).\nAnswer: 3*j**3 - j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*u**2 + o**3*u - 317*o**2*u**2 - 11*o*u**2 + 70*o*u - 2*u**2 wrt o.\nAnswer: -12*o*u**2 + 6*o*u - 634*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-344)\/(-315) - (-1735)\/(-2429) and -37\/490?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 647460 from -1.3.\nAnswer: -647461.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 24*p\/7 + 10.\nAnswer: 2*(p - 7)*(p - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2572*v - 2598*v + 1560 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 20 + 22 + 2*j - j**2 - 47 to the form y*j**3 + u*j + o + i*j**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5 - 3 + 10*z - 1 to j*z + v and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/216 and 49\/73340?\nAnswer: 3960360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -w + a, -2*a = -3*w - w + 514. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 3\/31 (c) -3\/484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 45*d - 44*d - 5 + 2 - 4. Let l = -8 - -17. Let y be s(l). Solve 3 = -y*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1974 - 6614 = -9*z. What is the greatest common divisor of z and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.5, 0.2, 3, -0.31, -1\/5 in ascending order.\nAnswer: -4.5, -0.31, -1\/5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 2. Suppose -20 = 6*q - 4*q. What is the units digit of a(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*j = -202, 4*j = 5*a - 0*j + 449. What is the hundreds digit of -4*(-7)\/(14\/a)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 + 443*s**2 - 274*s + 9315. Determine h(63).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = -3. Let n = 0.27 - -3.73. Which is the nearest to -1? (a) n (b) 3\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 794, 0 in decreasing order.\nAnswer: 794, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 - (-7 + 3 + 10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1353, -1392, -1435, -1488, -1557, -1648?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 2*o + 2. Suppose -8 = -5*u - 4*g, 13*u = 8*u - 3*g + 6. Let w be j(u). Solve w*r - 6 = 4*q, 5*r - 4*r - 1 = 4*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 64*x + 1109. What is z(52)?\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19035, -19033, -19023, -18999, -18955, -18885, -18783?\nAnswer: -18643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/522136 and 77\/1420.\nAnswer: 185358280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:18 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 17}. Give prob of picking 2 h and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12993319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 109699 - 109519 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5110 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 297946?\nAnswer: 297925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/3 - 6*x**2 + 32*x\/3 = 0?\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)\/y)**(-24) assuming y is positive.\nAnswer: y**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:35 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*g + 3\/5*g**2 + 0.\nAnswer: 3*g*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 102. What is the least common multiple of 24 and y + (-2 + 1)\/(6\/(-396))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264755814.\nAnswer: 2, 3, 4663, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 450083 = -766517. Is p a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33507 is divided by 11104.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51171)\/492 + (-2704)\/(-26)?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 9464672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 2*n - 9. Let g(u) = -u**2 + u - 1. Calculate -3*g(j) + z(j).\nAnswer: -3*j**2 - j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131374 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 3*h - 51, q - 13 = -h. Calculate the highest common factor of 228 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6)\/(2809 - 2777).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3403503 divided by -3?\nAnswer: -1134501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/5, -4, -6\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14049.\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 270*l - 68*l + 88*l + (-3 + 1 + 4)*(2*l - l + l) - 4 + 4 - 3*l + 2*l + 4 - 4 in the form i + t*l and give t.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -16*g + 43 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 4119*l**2 + 41490*l.\nAnswer: -3*l*(l - 10)*(l + 1383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361 - 204. List the prime factors of g.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154 - 82 - 80)*(0*a - a + 2*a + (2 + 0 + 0)*(5*a + 0*a - 4*a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4155*o - 2856*o**3 - 2078*o - 2074*o.\nAnswer: -2856*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*w + 89, w = -h - 3*w + 28. Calculate the remainder when h is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.151 - 1.34.\nAnswer: -1.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1)*(48 - 21). Let j be 1 + (3 + -1)*4. What is the highest common divisor of j and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 30*72\/(-304)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b + 3. Let v be h(2). Suppose 4*m - 4*l = -48, -2*m + l - 22 = -0. Let f = m - v. Solve -f*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = 5*i, -4*z - 3*i + 13 = -0*z. Let x(g) = -2 - g - g**2 + 0*g + 3*g - z*g. Suppose 0 - 3 = u. Determine x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by 29828.\nAnswer: -47\/29828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57750 and 1650495?\nAnswer: 82524750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -765, -1, -2\/5, 5, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 2*v - 3*v)*((-6 + 1 + 2)*(-3 + 1 + 1) + 2 + 8 + 4) + (0 - v + 0)*(-3 + 2 + 3))*(2 + 0 - 1)*(5 - 3 + 0).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*d + 19*d - 52 - 12*d**2 - 12*d**2 + 26*d**2.\nAnswer: 2*(d - 13)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 22. Let x be ((-8)\/j)\/((-20)\/(-70)). Let i be 86\/x - 2\/4. What is the highest common divisor of i and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 1. Let z be t(1). Suppose -z*q - o = -10, -14 = -5*q - 3*o + 2*o. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464 divided by -70125\nAnswer: -464\/70125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 87*b + 50*b + 7 + 40*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v**2 + 54*v - 323. Is 248 a factor of b(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264) - (sqrt(264)*-2 - sqrt(264) - sqrt(264))*2)\/sqrt(384)*1.\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 5*c - 1. Let w(a) = a**3 + 6*a**2 - a - 4. Let n be w(-6). Suppose 3*p - 3*r = 15, -5*p - 2*r = -n*p - 15. Determine u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suususu. What is prob of sequence suss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 9*g**2 + 14*g - 49. Suppose -10*i = -13*i + 5*q + 45, 3*i = 4*q + 42. Determine t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2952 = 7*p + 2536. Let v = p - -1417. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142 - 0?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-4)\/16 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125226 and 3329262?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s**(2\/3)*s)\/s)*s)\/s*s)\/s*s**(4\/3)*((s**3\/s*s*s)\/s)\/(s\/s**(2\/9)) assuming s is positive.\nAnswer: s**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 176655 and 48.78?\nAnswer: 8617230.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 24. Let c = h + 39. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**3 + 10*j**2 - 4*j - 13. Let w(h) = 8*h**3 - 5*h**2 + 2*h + 7. Determine 6*i(p) + 11*w(p).\nAnswer: 34*p**3 + 5*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 19. Which is the second smallest value? (a) 0 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1827 (base 9) to base 2\nAnswer: -10101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/177)\/(((-24)\/1512)\/((6\/(-1))\/2))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 30888, 5, 1 in ascending order.\nAnswer: 1, 3, 5, 30888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((50\/(-20))\/((-5)\/(-10)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -117. Suppose 60767 = x*q - 36968. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -451*v + 2812*v - 126*v as k*v + n and give k.\nAnswer: 2235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 245100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -724 - -773. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 23*y**2 + 777*y + 17. Let b(v) = 4*v**2 + 128*v + 3. Determine 34*b(l) - 6*g(l).\nAnswer: -2*l**2 - 310*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 6) to base 12.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 809?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1480\/888*66\/(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 424\/3. Let b(c) be the first derivative of -3 - 2*c - k*c**3 + 2*c**2. What is q in b(q) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500030 and 74090?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 3*k**2 + 3*k + 3. Let p(q) = -6*q**3 - 5*q**2 + 5*q + 5. Suppose 13*d + 52 = 9*d. Let a = d + 18. What is a*b(h) - 3*p(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:21 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/5)\/r*r\/r**(-3\/7)*((r\/(r\/r**(-2\/7)*r))\/r)**(2\/7) assuming r is positive.\nAnswer: r**(141\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -138? (a) -3 (b) -2\/19 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -613*a - 48. Let d be o(-6). Suppose -22*v = -16*v - d. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 - 6*z + z**2 + 107 - z**3 to the form s*z**3 + q + b*z**2 + y*z and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-282)\/18*-1 - 2*2. Let x = 239\/21 - r. What is the nearest to 1 in x, -1, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1663 - -1691 - (0 + -4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - n**4 - 3*n**4 + n**4 - 2 + 2 + (-n**3 + 4*n**3 - n**3)*(n + 2*n - 5*n) + n**4 + 4*n**4 - 3*n**4 - 14*n**4 - 26*n**4 + 9*n**4.\nAnswer: -34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -20. Suppose -t = o + 3, 2*t + 3*t - o - 15 = 0. Suppose 162 = 3*s - 4*d, t*d = -d - 9. What is the remainder when s is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2763?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -155*j**3\/3 - 141*j**2\/2 - j + 41. Is a(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/35*2*10\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 631328?\nAnswer: 631328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:29 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680762.9 kilograms in milligrams?\nAnswer: 680762900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -0.5, -1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(243)*5)**2 - sqrt(243) - (-4 + sqrt(243)*-3 + sqrt(243) + sqrt(243))**2)*-2.\nAnswer: -11634 + 342*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (6 - -7) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -6)\/35*1. Which is the third smallest value? (a) s (b) -0.4 (c) 3 (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6257898 and 405.\nAnswer: 31289490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let b(r) = -r. Let u(j) = -2*a(j) - b(j). Let g(h) be the third derivative of -h**4\/24 - 4*h**2. What is g(u(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.05 (c) -5 (d) 0 (e) -0.0487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165479529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 1 + 13 - 21 + 5. Determine j(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21670.20376 - -21674. Let b = 3.78 - t. What is b rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*15\/(-160)*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22466816 divided by 9536?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3042 or 1?\nAnswer: 3042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42923895 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 15. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*o + 14, -8 = 13188090*p - 13188094*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37314 divided by -19\nAnswer: -37314\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Let i = 0.1 + k. Let q = -3.91891 + 4.31891. Which is the closest to 3? (a) -2 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:59 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 1 + 1)*(0 + 3 - 4)*(919 - 20 + 21).\nAnswer: -920*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**3 - 265*w**2 + 535*w + 150.\nAnswer: -5*(w - 2)*(w + 15)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 44*o - 108. Calculate b(-41).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*l**4 - 60*l**3 + 60*l**3 + (-4*l**4 - 15*l**4 - 14*l**4)*(-1 - 1 + 3) as p*l**2 + x*l**3 + y*l + t + a*l**4 and give a.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47599099\/356752154 - 4\/523097. Let i = g + -3\/62. Which is the second smallest value? (a) i (b) -5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*c - 56, -3 + 0 = -3*g. Is 2\/12 + -1 + (-1618)\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -12433*b + 12425*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, -11, -6 in decreasing order.\nAnswer: 4, -6, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(888\/(-72)) + 129\/45.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.74.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38528 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 smaller than 92560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 196612 from 0.\nAnswer: -196612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*g - 67893 = 0, 2*x - 40493 = 7*g + 4707. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(272) + 0)**2*-5.\nAnswer: -8160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/5))**(-12)*(z\/(z**(-2\/13)\/z*z))\/(z*z**(1\/2)))**0)**(-9\/7) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 10. Let g(n) = -n**2 - 10. Suppose -10*v = -74 + 34. Calculate v*g(r) - 5*o(r).\nAnswer: r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261.26 + -0.7.\nAnswer: 260.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*q - 49*q + 26*q.\nAnswer: -103*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 62, 5, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = 3*k - 0*g, -4*k = g - 24. Suppose 4*r + k - 26 = -5*y, 0 = 4*y. Let q = 13 - 4. What is the remainder when q is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:58 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/642 and -73\/302061.\nAnswer: 604122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 17 - 8 = 7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(2\/13)*o)\/(o\/(o*o**(-5))))\/(o**5*o\/(o*o\/(o\/(o\/o**9)*o*o))) assuming o is positive.\nAnswer: o**(-219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/((-6048)\/81) - (-1)\/(154\/102)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**3 - 3*v**2 + 4*v + 15. Let f(q) = -17*q**3 + 9*q**2 - 11*q - 42. Give 11*b(a) + 4*f(a).\nAnswer: -2*a**3 + 3*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-50)\/15)*-192000. What is j rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-10) + 2\/((-12)\/51) - -12. Let o(g) = g**3 + 7*g**2 + 9*g + 4. Let v be o(-6). Sort i, v, -1.\nAnswer: v, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37547237?\nAnswer: 7, 13, 17, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4291387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/2*3. Let d(w) = -25*w - 1. Let m be d(c). Suppose -5*n + m = -3*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 9*a - 5. Let d be k(3). Factor 21684 + 42*l**2 + 15*l + 36*l**3 - 3*l**5 - 21684 + 6*l**d.\nAnswer: -3*l*(l - 5)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-5)\/(-40)*-180).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*u + 576 - 12719 = 0, -3*v + 3*u + 12141 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 21590*r - 410206. Calculate b(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 404950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.60027 - 145.600117. Let j = 92 + b. What is j rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 59*y + 98. Let k(m) = 58*m + 102. Let j(x) = 3*c(x) - 2*k(x). Is 108 a factor of j(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 11*q + 27 = 4, 5*q - 5 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 153.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111010111100100100001 (base 2) to base 3.\nAnswer: 21120200100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 + 10*s - 3. Calculate a(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 13 = -f, 452*f = 2*u + 455*f + 34 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5860860 is divided by 638?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313129070, -313129072, -313129074, -313129076?\nAnswer: -313129078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(0*v + 4*v - 3*v)*(-2150*v - 2555 - 2558 + 5113).\nAnswer: 2150*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80914638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247832 divided by -26.\nAnswer: 9532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -9*d**4\/2 + 462345*d**3 + 770584*d**2 + 359607*d + 102745\/2 = 0?\nAnswer: -1, -1\/3, 102745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -2 (c) 0 (d) 2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(13) + -1 - sqrt(13)*5*-1)*-3*2.\nAnswer: -36 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*d - 9*d - 802*d - 363*d.\nAnswer: -1060*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3503\/9? (a) -1\/5 (b) 12\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18708 + 205782\/11. Which is the fourth biggest value? (a) -3 (b) 2\/7 (c) 0.076 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-212)\/136*1*-2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -384120, -769222, -1154324?\n\"Answer: -385102*f + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 - 5*s**2\/7 + 22*s\/7 - 16\/7.\nAnswer: -(s - 2)*(s - 1)*(s + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:07 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 119991.\nAnswer: 239982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/249090 and -61\/364458?\nAnswer: 34623510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3859631 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*(1 + 3). Let n be 1 + (-2 + m)\/(-4). Let l(i) = -6*i**3 - 2*i**2 + 1. Determine l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8363.\nAnswer: 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.14 and 0.2?\nAnswer: 3.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1259457, 1259455, 1259453, 1259451?\n\"Answer: -2*u + 1259459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4683401 hours in weeks?\nAnswer: 0.0265972625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 10. Let j be (44 + -40)*(-7)\/(-4). Determine v(j).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -2\/9, 1.2, 0.3, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 1. Let z be n(-1). Let t(a) = 9*a - 6. Let m be t(z). What is the highest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(-4*-2*((2 + sqrt(405))*4 + (sqrt(405) - (-1 + sqrt(405))) + 1))**2.\nAnswer: -2105595 - 230400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*h - 6. Let x be -3 - 4\/(12\/(-237)). Suppose -4*c + x = -4. What is the remainder when c is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(833) + -4*sqrt(833) - sqrt(833) - sqrt(833)) + -3 - (((5*sqrt(425) - sqrt(425))*-5)**2 + -2).\nAnswer: -170001 + 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 7:26 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 35 + 1. Suppose -u + 2*g = -82, f*u - 446 = 4*u + g. What is the highest common divisor of 30 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 884127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2209507 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3)\/h*(h\/((((h\/h**(-3\/4)*h)\/h)\/h)\/h))\/h)**22\/((h\/(h\/h**(-2\/7)))**28\/(h*h**(-1))**35) assuming h is positive.\nAnswer: h**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) - (2 - 6). Let f = 279 + -267. Solve 0 = 2*t + 10, 4*i + v = -2*t - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372.7 + 358. Let j = -9.3 + p. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -647.03 + 647. What is the closest to 0 in 0, 3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 2\/15, -1, 0.9, -2\/5.\nAnswer: -1, -2\/5, 1\/10, 2\/15, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.355 and 2625120796633.\nAnswer: 2625120796633.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -0.1313.\nAnswer: 0.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 + 202 = 19*z - 5*z. What is the fourth smallest value in 0.07, z, -2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 440 - -139. What is a rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.337 - -0.337. Which is the nearest to -3? (a) -3 (b) q (c) -13 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.65?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 612362897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -27372, 0.5, -0.4, -12 in descending order.\nAnswer: 0.5, -0.4, -12, -27372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -3*(-6)\/(-30) + 68916\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 2126412252*i**2 + 2126412326*i**2.\nAnswer: 74*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/158, 8\/7, 0.45, 0, -2\/11, 2 in descending order.\nAnswer: 2, 8\/7, 0.45, 1\/158, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -93 and -535732.507205.\nAnswer: -535825.507205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 r when three letters picked without replacement from {z: 2, o: 3, b: 1, t: 2, j: 6, r: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67125.072 days to weeks.\nAnswer: 9589.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/(-148))\/((-105)\/5).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -33*w - 330. Let v(m) = 19*m + 165. Determine 4*l(j) + 7*v(j).\nAnswer: j - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 4*o**2 + 4*o - 3. Let i be x(2). Suppose -i*s + 122 - 7 = 0. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571124000 rounded to the nearest 1000000?\nAnswer: -571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-9))\/(3\/(-225)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 35 = 5*z, 4*z + 4*n - 9 - 19 = 0. Solve -23 - 12 = -z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/68 and 23\/2640.\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 11) in base 12?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13*z**2. Let f(s) = 2*s**2 + 10*s + 5. Let b be f(-4). Let h(x) be the first derivative of 35*x**3 + 3375. Determine b*h(y) - 25*a(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8961626 (b) 5 (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 23*k + 27*k + 54907, -4*u + 5*k = -219672. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(605)*1 + sqrt(605) - sqrt(605))**2 + sqrt(605) - sqrt(605)))*4 + 3)*-5.\nAnswer: -12175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2446077 is divided by 1093.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:03 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(119)\/(sqrt(7)*-2))**2.\nAnswer: sqrt(17) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283524 (base 9) to base 5.\nAnswer: 21020300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4763\/14 bigger than 24.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnninnnninnininnnnin. Give prob of picking 2 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3890 divided by 2\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175915535*r**2 + 8*r - 6596339.\nAnswer: 351831070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 447699883?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -390, 2.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 995062 = 995454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(175))**2 + sqrt(175).\nAnswer: 5*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 6. Let j(d) = d + 1. Let f be j(s). Suppose -y - 2*m + f = -0*m, 3*y - 4*m = 35. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90056351?\nAnswer: 7, 11, 1169563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (-61 - 1295\/(-145))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10*r + 165 - 324 + 163. Let i(n) = 2*n - 1. Let v(q) = -16*i(q) - 3*l(q). What is v(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -374.\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 658103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2. Let b(a) = 10*a + 70. Let u(j) = j + 6. Let v(c) = -3*b(c) + 35*u(c). Give v(p(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-2)\/(-3))\/(-2))\/((-28)\/8). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.015, -2\/15, -0.4, 7?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 157. Let a(p) = -2*p - 236. Calculate -5*a(u) - 8*v(u).\nAnswer: 2*u - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 - 0) - 2. Suppose -s + 3 + 3 = m. Suppose -2*l + s = 0, -4*r + 0*l + 2*l = -30. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/468)\/(3\/2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 26 = -u. Suppose 0 = -2*c - c - u. Let j(r) = -10*r**3 - r. Give j(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:27 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -427140*t**5 - 2*t**4 + 2*t**3 + 3003600*t?\nAnswer: -8542800*t**3 - 24*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**4)\/s*s*s**2\/s)\/(s**(2\/7)*s)**(-2) assuming s is positive.\nAnswer: s**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 28. Let a be o(7). Solve a*f = 2*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62070 divided by 1253?\nAnswer: 62070\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h - h + 2*h - 10*h + 4*h. Let i(r) be the second derivative of r**3\/6 + 7*r**2 - 8*r. What is u(i(s))?\nAnswer: s + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9)*-15*(-1)\/(2\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79501 - -74548.1. What is q rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x - 4 = -a, 5*a + 2*x + 16 = 0. Is (-640 - -2)*1\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4 - 17*j**3 + 19*j**2 + 17*j - 18 = 0. Calculate j.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1518874 and 107\/4876.\nAnswer: 3037748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 0, 4*s + 2*t + 772 = 7*s. Let a be (-18)\/27 - s\/6. Let i be 2\/6 - a\/12. Solve -3*x - i = -10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 95*l**3 + 405*l**2 - 7695*l.\nAnswer: -5*l*(l - 19)*(l - 9)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -7*v**4\/8 + 854*v**2. Let k(x) = -85*x. What is -9*i(q) + 2*k(q)?\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -61. Let p = 24 + f. Let g = p + -30. Solve y = -5*s - 0*y + 10, s = y + g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - sqrt(612)*-2)*6*4*-1 - ((sqrt(68) - -1*sqrt(68)*4)\/sqrt(4) - 5*((sqrt(68)\/sqrt(4) + sqrt(17) - sqrt(17)) + 3)))**2.\nAnswer: -12960*sqrt(17) + 3172833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)\/(r\/(r**1\/r)))**(-43)*(r\/(r\/(r\/(r*r\/(r*r**(-2\/13)\/r)*r)*r*r)*r))\/(r*r\/(((r*r**(-2\/13))\/r)\/r*r))*r**(-5)*r*r**(-3\/4) assuming r is positive.\nAnswer: r**(19427\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 + (-4 - (1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6)*3*-10. Suppose -31 = 3*p - l*s, -3*p = -2*p + 4*s - 18. What is the tens digit of (-434)\/2*(1 + p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 49218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/56440 and -23\/2988.\nAnswer: 507960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 + -333. Let y = z + 152. Let k = -56.2 + y. What is k rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1264 + 1.8736. Let z = -43\/24 + 9\/8. Let u be (1\/(-3))\/(26\/39). What is the third smallest value in z, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 77 = -57. Let k(f) = f + 4. Let t be k(9). Suppose -5*o + 12 + t = 0. Put v, o, -3 in increasing order.\nAnswer: v, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = -7 + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:50 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let g(v) = v**3 + 2*v**2 - 5*v - 3. Let c be g(-3). Let q(j) = 2*j**2 + 9*j + 8. Let k(r) = c*o(r) + q(r). List the prime factors of k(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + sqrt(15))\/(sqrt(3) + sqrt(15)\/(sqrt(25)\/sqrt(5)))*-6.\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -390*i**3 - 6*i**2 + 7*i - 6079. Let c(d) = 260*d**3 + 4*d**2 - 5*d + 4051. Let h(g) = 7*c(g) + 5*p(g). Find the first derivative of h(a) wrt a.\nAnswer: -390*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -14, -145, -4, -1, -7 in ascending order.\nAnswer: -145, -14, -7, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1204.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-48) + (2\/(-12))\/(130\/(-3159)*-3).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -10. Let v = j - -4. Factor -17*n + 8*n**3 - 28*n**3 - 32*n**2 - 9*n**4 + v*n**4 + n.\nAnswer: -4*n*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.1. Suppose -2*l + 8 + 18 = w, 5*w + 3*l - 158 = 0. Suppose -20 = 30*b - w*b. What is the closest to a in b, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -27 (d) 4\/5 (e) -2\/7 (f) -57 (g) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(56256\/6912 + (-2)\/(-18)). Let t = 0.01 - 5.01. What is the closest to -1 in t, -2\/3, w, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*f**2*z**3 - 5*f**2*z + 9*f*z - 36*z**3 - 88*z wrt z.\nAnswer: 582*f**2*z - 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 305056 divided by -2\nAnswer: -152528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -2104, -4764, -8496, -13300?\nAnswer: -19176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/168*0)\/(-2). Solve v = 20*x + 8*x + 112 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 605, 721, 883, 1091, 1345, 1645?\nAnswer: 1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*j + 4*o + 43 = -683*j, -2*j + 4*o = -46 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269 by -54453.\nAnswer: -269\/54453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 4. Let f be z(-2). Suppose -4*l + 103 - 19 = f. Calculate the lowest common multiple of 6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, -1, -79 in decreasing order.\nAnswer: 170, -1, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 76 = -5*u + 6*s - 59, 15 = 3*s for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*z - 130, -3*d = -z + 6*z - 65. Calculate the common denominator of (74\/d)\/((-8)\/(-18)) and -149\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -245800?\nAnswer: 245798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {o: 3, f: 1, z: 5, h: 1, g: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + r - 5441 + 1360 = 0, 20377 = -5*s + r. Is s smaller than -4075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -63. Let b be (d\/12)\/(9\/24). Let j(k) = k**3 - 5*k**2 - 4*k - 8. What is j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1233 by 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmnwmmuwwwmmnmrmm. Give prob of sequence uw.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/28 - 757\/(-4). Let w = q - 131. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439910 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.738 and 18.971?\nAnswer: 241.652598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)\/(z*z*z*z**(-3\/2)*z) assuming z is positive.\nAnswer: z**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6257?\nAnswer: 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*s - 2*b, -s + 25 + 5 = -2*b. Let h(m) = -5*m - 4. Calculate the remainder when h(-4) is divided by ((-18)\/8)\/((-6)\/s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxxxoxxxxxxxoxx. What is prob of picking 3 o?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.04 - 11. Put -3, w, -1 in increasing order.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:37 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -8*y + 9*y. Suppose -34 = -k + 5*u, 6*k - 2*u - y = 2*k. Calculate the highest common divisor of 42 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -142*h**2. Let c(f) = 361*f. Calculate c(j(v)).\nAnswer: -51262*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvlvrrivtwrvwrvlwrt. What is prob of sequence vll?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/68 and -51\/709244.\nAnswer: 12057148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 29 = -2*t + 10, -2*t = 5*w - 11. Let y = 2.6 - 3. Let s = 0.3 + y. What is the nearest to s in 1\/8, 5\/4, t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Let x = 13 - 10. Which is the nearest to 0? (a) q (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2670 divide 260346360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/((-30)\/(-6)))\/(226\/113)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -235, -537, -973, -1549, -2271, -3145?\nAnswer: -4177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 5*a. Let p be y(-4). Suppose p*s = -0 + 16. What is the remainder when (-2)\/10 - 124\/(-20) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 11, 28, 61, 116?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790481.\nAnswer: 3, 7, 11, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*139\/(73392\/(-396))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 44. Let h = t + 4. Differentiate -7 - 7*r**3 - h + 2 wrt r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 7*x - 15 + 34, 9*x + 8*x + 5*k = 2*k - 73 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 5*z - z**3 + 2*z + z as q*z**3 + b*z**2 + y*z + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-192375)\/(-7875) + 100\/(-4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 + 4*k**2 + 2*k - 5. Let f(c) = 13*c**2 - 4*c**3 - 6*c**2 + 2*c - 6 - 2*c**2. Give 5*f(y) - 6*g(y).\nAnswer: -2*y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1591, -1750, -2007, -2356, -2791, -3306, -3895?\nAnswer: -4552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28186441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1005805?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(7\/5)\/k*(k*k\/(k\/k**(-32)))\/k assuming k is positive.\nAnswer: k**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 5646 - 5646.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40273 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56729 - -1?\nAnswer: -56728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469000?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160771313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 1. Calculate the smallest common multiple of d(1) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10704 (base 9) in base 16?\nAnswer: -1bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose -o*a + 6 = 4*m, -2*m + 4*a + 9 = -7. Suppose 3*u = 5*u, 2*u = -2*j + m. Solve 3*k = j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/4071, 0.22, -17, 6\/5 in decreasing order.\nAnswer: 6\/5, 0.22, -2\/4071, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o = 0. Suppose 0 = d - o*d - 3. Calculate the lowest common multiple of d and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 0, 3, -13 in ascending order.\nAnswer: -13, 0, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -108, -89, -52, 9?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 104.9. Let n = k + -6. Which is the nearest to n? (a) 1 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420280 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1.5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -aa63?\nAnswer: -aa64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858507?\nAnswer: 3, 17, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*(-83)\/((-5976)\/(-21))?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244546327 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5978525 divided by 1.\nAnswer: 5978525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 19102*k**2 - 364924605*k\/2 - 364848201.\nAnswer: -(k + 2)*(k + 19101)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 16506?\nAnswer: -16504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34626, 34634, 34640, 34644, 34646?\nAnswer: 34646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10872\/(-90) - -125)\/(2\/10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 2*n - 13. Let c(z) = -38*z**2 - 14*z**2 - 14*z**2 + z - 6 + 65*z**2. Give -5*c(o) + 2*l(o).\nAnswer: -o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80035023*y**3 - 53874534.\nAnswer: -240105069*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -24*f - 20*f**3 + 11 + 7 + 19*f**3 + 24*f**2. Let h be x(23). Let o = -0.3 + 0.7. Which is the closest to o? (a) 1 (b) -2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 96613?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 42*u - 63. Let q be n(7). Suppose 0 = -12*x + q + 345. What is the greatest common factor of 54 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-6) + (-1)\/6. Suppose -8*a - 48 + 368 = u. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -19, -16, -3, -821, 3 in decreasing order.\nAnswer: 8, 3, -3, -16, -19, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.8 - -23. Suppose 0 = -121*q + 7411 + 2995. Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -3*t**4\/4 + 7*t**3\/3 - 31*t**2 - 81. Find the second derivative of o(h) wrt h.\nAnswer: -18*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*i - 19 = 0, 3*d - 5*i - 15 = 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let k(q) = -q**3 - 4*q**2 - 5*q - 3. Let t be k(j). Suppose 0 = t*r - 6. Solve 4*z + 4*n + 24 = 0, 6*n = 2*z + r*n - 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5128 + 10244 - 5116 - 8*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12952.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/85)\/(-8*1). Suppose 13 = -p - p + m, -m = -3. Which is the third smallest value? (a) f (b) p (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -267766 - 1?\nAnswer: -267767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b2 - -5?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (5 + -3 - -3). Let n be (220\/(-5))\/(p - 1). Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/8 (b) -1\/7 (c) 0 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 3 - 2)\/(2\/(-250)). What is the common denominator of (30\/k)\/(70\/(-575)) and 73\/9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202547, 202370, 202191, 202010?\nAnswer: 201827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*(v*v**(1\/5)*v)\/v)\/v)\/(v*v**(-3\/5)))\/(v**(2\/7)\/v**(-1\/9)))**(9\/5))**45 assuming v is positive.\nAnswer: v**(1143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/((1456\/(-105))\/16))\/5)\/((-6)\/(-1))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from fdmfdfhffd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1\/12 (c) -16.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 48\/9*(-3 + 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401645?\nAnswer: 5, 480329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1381 - -1379. Which is the second biggest value? (a) 2\/3 (b) 0 (c) 907 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15 - (-4)\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1669, -4314, -6959, -9604, -12249, -14894?\nAnswer: -17539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(156)\/(sqrt(192)\/sqrt(4)) + sqrt(1053) + 1 + -5 + 0 + sqrt(13))**2.\nAnswer: -252*sqrt(13) + 17391\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/2 - y**2 + 3*y. Is o(-8) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 12. Solve 0 = 3*b + 5*l + 12, -l - z = b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15523698198 and 2.\nAnswer: 15523698200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111101 - -101010001111?\nAnswer: 111110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/65 + 191\/130. Sort 4, -1.7, -3, u in increasing order.\nAnswer: -3, -1.7, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/19)*m*m*((m\/(m\/((m\/(m**(-12)*m))\/m)))\/m)\/m*m**(2\/19)\/((m\/(m*m\/(m\/m**0)*m))\/m) assuming m is positive.\nAnswer: m**(251\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**3*k)\/k))\/k)**(-45) assuming k is positive.\nAnswer: k**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8998\/5 - -1794. Let c = 11 + p. Calculate the common denominator of -75\/4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 + 14*o + 76. Calculate d(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 13032?\nAnswer: -13020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 10*w + 4 + 13*w. Let u(q) = -q + 1. Let n = 7 + -15. Let h = n + 6. Determine h*u(m) + y(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178798*h**2*k - 2*h**2*q**3 + 76*h**2*q**2 + 40*h**2*q - 2*h*k*q**3 wrt k?\nAnswer: -178798*h**2 - 2*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 37*l**2 - 296*l - 463. Give w(-28).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 28*i + 227. Let c be n(-8). Let w = -0.7 + -5.3. Let r = 2 - w. What is the nearest to r in 0.2, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9931892 litres in millilitres?\nAnswer: 993.1892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 - (-23)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-1 - (-6 + 16)) + 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -379*h - 2581. What is the smallest common multiple of 248 and l(-7)?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -47143*i + 2. Let y(x) = -x**2 + 2*x + 14. Let k be y(0). Let p be n(k). Round p to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 56259?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145632736 and 0.2.\nAnswer: 29126547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -71, -163, -283, -425?\n\"Answer: f**3 - 23*f**2 + 4*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 17*h + 4. Let z(j) = 5*j**2 - 16*j - 4. Give -4*f(o) - 3*z(o).\nAnswer: o**2 - 20*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234.15 + 234. What is the third biggest value in 2, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 - 1560*h + 121680 = 0.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 0*d**2 + 83 + 0*d - 4\/5*d**5 + 2*d**4 + 32\/3*d**3. Factor m(o).\nAnswer: -4*o**2*(o - 4)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 23 = -5*y - 551, 643 = 5*a - 2*y. Which is bigger: a or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 364*a - 348*a + 5360. Let p = 341 + a. Suppose d + 3 + 2 = 0. Put d, p, 2 in ascending order.\nAnswer: d, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.479665 rounded to 3 dps?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-248)\/(-124) - 8\/((-24)\/57)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10370\/(-714) + 15)*-42?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*d - 4*b + 13, -2*d + 5 = 5*b. Solve -o + 9 = 3*s + o, d = -2*s - 5*o + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**2 - 15*r**2 + 7*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r - r**2 - 6 - 5*r + r + 4*r. Determine x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -4. Suppose 0 = l - 5*v - 18, -2*l + 12 = -4*v - 12. Calculate the least common multiple of (-1)\/k + (-75)\/(-18) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.55 + -3.399. Round h to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174.5 + -175. Let o = 0.047 + 0.253. Let d(j) = -j + 1. Let k be d(1). Which is the nearest to 0.3? (a) n (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 23*y = 5*w - 7, -7*w = -7. What is the third smallest value in 0, 5, y, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - i + 2*i)*(-i + 1 - 1) + 4*i**2 + 0*i**2 - i**2 + (i**2 + 3*i**2 - 3*i**2)*(2 - 2 + 2) as h + k*i + v*i**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - -2) + -4 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 + ((-4 - -6) + -14 - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 - 14400?\nAnswer: -14575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 917 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -441\/2 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0832616 litres in millilitres?\nAnswer: 83.2616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (66393\/36*2\/(-6)*-4)\/1?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 1, j: 1, y: 1, i: 2}. Give prob of picking 1 j, 1 a, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22795*p*w**2 + 27*p*w*y**2 - 100295*w**2*y**2 - 4*w*y**2 + 2*w wrt p.\nAnswer: 22795*w**2 + 27*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(k - 6*k + k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000000000111 (base 2) to base 7\nAnswer: -14651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106868, -106841, -106814?\n\"Answer: 27*s - 106895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1135 + 57 = 0. What is the least common multiple of n and 2?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 32\/(-21))\/(305\/(-366)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2075 + 99139173.\nAnswer: 99141248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1704, 1705, 1706, 1707, 1708, 1709?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-10 - (-18 - -11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1244353 > -1244353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(192) + 1 + 5 - (-4 + (sqrt(108) + 2)**2)*-3.\nAnswer: 80*sqrt(3) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -3*q. Let m be q*2 + -3 + 3. Suppose -m*a = -2*a - 8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0076120637 to five dps.\nAnswer: -0.00761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.36 - 59.66. Let j = -0.13 + 0.03. Which is the second biggest value? (a) 0 (b) j (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133)\/(-35) + -7 + 3. What is the smallest value in 10, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3 - 12346*k**2 - 132*k + 31671140?\nAnswer: -3*k**2 - 24692*k - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 4*x = -22 - 6, 34*t - 12 = 31*t - 3*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = -2*p, 7 = 2*o + 5*p + 22. Suppose o = 59*s - 54*s. What is the highest common divisor of 31 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 84 = -120*k - 36. Which is the second biggest value? (a) 3 (b) k (c) -2\/7 (d) 1\/6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*v + 180. Let k = 33 + -15. Calculate the least common multiple of k and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 6664 = 117330. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, -5, 93 in decreasing order.\nAnswer: 93, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/20 + 3\/12. Solve 0 = 4*f + 8, 2 = -o - g*o - 3*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 36. Suppose 0 = -108*z + 106*z - 34. Let d = z + y. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4 - -2)*-136. Let d be (132\/i - 2)*-2. What is the smallest value in -0.2, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, 1398, 2910, 4422, 5934?\nAnswer: 7446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(480)\/(sqrt(8)*-1))\/(sqrt(1200) + sqrt(1200)*2 + (1*sqrt(36))\/sqrt(3)).\nAnswer: -3*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*v + 51 = 0, 6*v - v = 4*q - 21. Let n = 6 - q. Is -4 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 34*w**2 + 134*w - 78. What is the remainder when d(30) is divided by 126?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 10*n**3\/3 - 5*n + 1. What is the first derivative of s(m) wrt m?\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4 - 429394*i**3 + 2117019 with respect to i.\nAnswer: 4*i**3 - 1288182*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 10*z + 2. Let c be a(-5). Let w be (-15 + 12)*c\/6. Which is smaller: 2\/25 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = -3. What is the remainder when 30 is divided by d\/(-3 - (-2 + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -8*3\/6. Suppose w*o - 25 = -o. Suppose -5*k + 187 = o*p - 4*k, 2*k = -6. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-34\/5))**(-2\/111)\/(b**(-26\/3)\/b)**(1\/31) assuming b is positive.\nAnswer: b**(6853\/17205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 875647553 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 11:24 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/(u**14\/u))\/(((u**13*u)\/u)\/u**(-14)) assuming u is positive.\nAnswer: u**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1547 times -11\nAnswer: -1.7017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 7986 = -3*u - 16*v, -5*v - 2673 = u. Let j = 525 - u. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150 + 159 + 54 + 3221*y - 365 to o + q*y and give q.\nAnswer: 3221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + -2 + 12. Let q(t) = -5*t - 7. Let c be q(-5). What is the highest common factor of s and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**2 + x - 17. Let o = -1471 + 1470. Let n(a) = 1. Give o*m(s) + 6*n(s).\nAnswer: -2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:24 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.05. Let z = -0.95 + 1.15. Which is the third biggest value? (a) w (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19796 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*231\/1254*(-2)\/(-35).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:04 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4*r - 16. Let x(j) = j**2 + 6*j - 16. Let u(p) = 6*q(p) - 5*x(p). Find the first derivative of u(d) wrt d.\nAnswer: -22*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 380\/16*(7\/(-3) - -1). Suppose 2*n = -n + z - 90, 3*n - 2*z + 84 = 0. Is n at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53890 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 77.6105?\nAnswer: 77.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -22*j + 43. Let i(n) = 3*n - 7. Let l(m) = 3*i(m) + q(m). Let r(h) = -4*h + 7. Calculate 2*l(f) - 7*r(f).\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 = -69. Calculate the remainder when 71 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**8\/6720 - f**6\/720 + f**4\/12 - 2*f**2. Let h(d) be the second derivative of w(d). Factor h(x).\nAnswer: x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86.077*-0.052\nAnswer: 4.476004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -781*a**2*h*i**3 - 2*a*h*i**3 + 4*a*h - 2*a*i - i wrt a.\nAnswer: -1562*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235*v**4 + 3*v**3 - 2*v**2 - 2*v - 1702034?\nAnswer: -940*v**3 + 9*v**2 - 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0 + 0*o + 2 + 2*o. Let w be 1 - -2 - (2 + -2). Determine z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 1\/6*r**3 + 1\/2*r**2 - 4 + 0*r. Find i such that l(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1615230*l**4 + 13145623*l.\nAnswer: -19382760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426604 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3362472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 7. Let c be d(3). Let o = c - 1. Let u(n) = -n**3 + 3*n**2 + 5*n - 3. What is the remainder when u(4) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u + 9*u + 2*u - 38*u in the form t*u + i and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368778 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from lqllllqlll?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 13\/((-78)\/36) - -80. Calculate the highest common factor of 100 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*x + 24*x + 40. Suppose -x*v + 12*v = 32. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-16))\/15*((-12)\/(-189))\/1.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 17*y = 9*y. Suppose -2*u + 491 = 3*z, y = 10*z - 7*z - 3*u - 486. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x**3 + x**2 + 20*x + 4. Let u be k(-8). Round u to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 + 2*f**3 + 2*f**3)*(-57*f - 56*f - f**2 + 108*f).\nAnswer: -9*f**5 - 45*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.721 + -0.321. Put 1\/10, d, 2\/11 in ascending order.\nAnswer: 1\/10, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0*w**4 + 0*w - 6*w**2 + 1\/30*w**5 + 0*w**3 + 1\/40*w**6 + 0. Suppose n(u) = 0. What is u?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4229099955 to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - p**2 + 4*p + 3. Let y(a) = 5*a**3 - 6*a - 4. What is 3*w(c) + 2*y(c)?\nAnswer: -2*c**3 - 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**21\/w*w))\/(w**(-1\/38)\/w))\/(w**1*w*w\/w**15))**(2\/3) assuming w is positive.\nAnswer: w**(-265\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -912, -3769, -8530, -15195, -23764?\n\"Answer: -952*z**2 - z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(6)\/sqrt(3)*-4)*4)**2.\nAnswer: -128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117458540?\nAnswer: 2, 5, 5872927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1195 = -11*k - 40. Calculate the smallest common multiple of k and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -20*s - 8. Let v be c(2). Let f = 51 + v. Suppose 5*t - 5*d = -5799985, 3*t + 110778 = -f*d - 3369231. What is t rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -472506, -945012, -1417518, -1890024, -2362530, -2835036?\n\"Answer: -472506*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68 (b) -109 (c) 178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1356516 and 103\/1356516.\nAnswer: 1356516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3352*g - 49. Let l = -233 + 230. Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1. Let t(n) = 0 + 20165*n - 20172*n + 5. Determine 3*r(q) - t(q).\nAnswer: 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 6:37 AM?\nAnswer: 86","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3*o + 15*c**3*r**3 - c**2 - 2*c*r**3 + 23*o*r - 251*o wrt r.\nAnswer: 45*c**3*r**2 - 6*c*r**2 + 23*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/45 - -2\/45. Let d(b) = -b**3 + 2*b**2 + 3*b. Let n be d(3). Is n smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 0 + (sqrt(252) + -2*sqrt(252))**2)*4*4.\nAnswer: 144*sqrt(7) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217699 is divided by 8266?\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6324172 and 4558?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 8*x + 10. Let u be y(-8). Let s = -964\/7 + u. Are s and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 95, 0, -3, 1928, -1 in ascending order.\nAnswer: -3, -2, -1, 0, 95, 1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -602 - -1337?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 4*(sqrt(475) + sqrt(475)*-1 + sqrt(475)))*1)**2.\nAnswer: 190000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*o + 1767 + 92 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -504, -1992, -4534, -8130?\n\"Answer: -527*o**2 + 93*o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -2. Let s(h) = -8*h + 2*h**2 + a*h. Let y(w) be the third derivative of w**4\/12 - w**2. Calculate s(y(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2273478 and 3.\nAnswer: 2273478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -27. Let l be 40\/(-30)*p\/(-2). What is the highest common divisor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -3*t + 53. Let m be ((-2)\/(-2))\/(4\/192). Suppose -33*g - m = -36*g. Calculate the remainder when t is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 533 + 3?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8566 + -2159. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68195211 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*2\/9*-15. Let p = n - 8. Calculate the least common multiple of 18 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902213?\nAnswer: 13, 69401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mkprpmyd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 162*g + 601. Does 22 divide b(93)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (146870\/5698556)\/(((-3)\/(-2))\/((-12)\/(-10))).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1 - (4 - 4)). Let i be (-18)\/(-9) - (n - 17). Let f = -13 + 22. Calculate the greatest common factor of i and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2363, 9367, 20999, 37259, 58147?\nAnswer: 83663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -42*i**2 + 3. Let a(j) = 1261*j. What is d(a(v))?\nAnswer: -66785082*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165289345.2s in weeks?\nAnswer: 273.295875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75970 is divided by 75891.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 168, 323, 744, 1563, 2912, 4923?\n\"Answer: 22*c**3 + c**2 - 2*c + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-4)\/32)\/(-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14753*s**3 - 15*s**2 - 7*s + 7. What are the prime factors of d(-1)?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + u**3 + 2*u**3)*(2*u + u**2 - 2*u) + 7*u**5 + u**5 - 5*u**5 + (0 + 0 - u**3)*(-2*u**2 + u**2 - u**2).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-30)\/20 - 15\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 500*z**4 + 492*z**4 - 48*z**4 + 3*z**4 - 7*z**4 - 4*z**4 + (0 + 0 + 2*z)*(-3 + 3 + z**3) in the form v*z**2 + w*z**3 + d*z**4 + a*z + x and give d.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - -12)) + -34 + 49 + 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + t**3 + (18 + 5*t - 18)*(3*t - 3*t + 2*t**2) - 5*t**3 + 5 + t**2 - 5.\nAnswer: 6*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5014133 (base 6) to base 14\nAnswer: -61b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3297 is divided by 536?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + w + 1. Let q(s) be the third derivative of -s**5\/4 + 5*s**4\/8 + 2*s**3 + 36*s**2 + 15*s. What is q(a) - 12*v(a)?\nAnswer: -3*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 1, b: 2, x: 6, d: 7}. What is prob of sequence txb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 73. Let l be (s\/(-3))\/(0 - (-1)\/3). Solve 0 = l*u - 16, -2*r + 5*u = 2*r + 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-80)*-2*(-5)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10699263, -10699265, -10699267, -10699269?\nAnswer: -10699271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.97 - -0.03. Let o = 23.2 + -21.2. Which is the biggest value? (a) o (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - b**2)*(-2 - 2 + 3) - 6*b - 2*b**2 - 48*b + 20*b - 15*b**2 + 24*b**2 + 9*b**2.\nAnswer: 17*b**2 - 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*c**2*l**2 + 4399792*c**2*l + 4988*c*l**2 - 42*l**2 - 38*l wrt l?\nAnswer: 194*c**2 + 9976*c - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + ((-2247)\/42 - -66).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101655030 divided by 56163?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-12) - 2)*-61 - (6820\/(-165) + 42)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1275034 at least as big as -1275051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 40279766.8 to the nearest 10000.\nAnswer: 40280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.853 + 5.53. Round h to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.82558 times -4?\nAnswer: -339.30232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**2 + 58*o + 47. Is 41 a factor of r(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2 - 4. Let j be (2\/(468\/75))\/1. Let o = -2\/13 + j. What is the nearest to 0.2 in o, t, 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -36*(-2 + 0 - 3\/(-3)). Calculate the highest common divisor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232949?\nAnswer: 23, 29, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-3)\/(40\/8 + -4). Solve 3 - 7 = 2*z, 4*o - y*z - 14 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c5f (base 16) to base 12.\nAnswer: 18967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101201 (base 3) to base 2.\nAnswer: -100110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2141, 8216, 18227, 32174, 50057?\nAnswer: 71876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45192611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.14657243 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 3 - (67 + (-1 - 3)). Let s be -1*80\/j - 0. Is 0 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y. Suppose 0 = -5*l - 2*t + 21, l + y*t + 3*t + 1 = 0. Suppose -b + 2*h + 81 = 0, -134 - 295 = -l*b + 4*h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + ((-138)\/115)\/(8\/(-20))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4248.033 - 5.68799?\nAnswer: -4253.72099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = -4*c, -4*c + 0 = 12. Suppose 4*f + 7 = w - 15, -4*w + 44 = -i*f. Solve 3*d - u - u = w, -4*d + 4 = -4*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1\/11, -2.41 in descending order.\nAnswer: -1\/11, -3\/8, -2.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 28941.174 months?\nAnswer: 2.4117645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:35 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 117 = 47*c + 4*m, 3*c + 2*c - 6*m = 113 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/401 (c) -2\/5 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*n = 6, 4*n + 7 + 1 = 4*l. Suppose -l*o = 2*o - 12. Suppose 2*f = -5*f + 42. What is the lowest common multiple of o and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 87\nAnswer: 3393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -4*(sqrt(7) + -1 + sqrt(7)))*3)**2 - (-4*sqrt(112) + sqrt(21)\/(-1*sqrt(3)) + -1).\nAnswer: -1135*sqrt(7) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -9. Let z = y - -4. Solve 0 = -z*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**2 - l - 38. Calculate the lowest common multiple of p(-4) and 18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -89*z**2. Let u(s) = 7*s. Calculate u(d(y)).\nAnswer: -623*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1379998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022200 + 11?\nAnswer: -1022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 22*f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14.204557*0.64\nAnswer: -9.09091648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - 2*z**2 + (-z - 1 + 1)*(-2*z + 1 - 1) + z**2 + 3*z**2 - 5*z**2)*(-117*z**2 + 312 + 215*z**2 - 97*z**2).\nAnswer: -z**4 - 312*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - (-2 - -13) - (-9 + (30 - (-4 + 15)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 22 = 2*c, 4*x + 23 = -c + 42. What is the smallest value in -10, c, 0.4, -0.1, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 4. Let o be t(-6). Let y be 6\/o + (-21)\/(-4). Solve 0 = -3*g + y*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389 divided by 694\nAnswer: -389\/694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -412 - 80. Let y be 252\/(-693)*(0 + -11). Suppose v = r - 84, -r - v = -y*r + j. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/4 - 23*o**3 + 456*o**2 + 1569*o. Find f, given that c(f) = 0.\nAnswer: 8, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 3 - 3. Let g(v) = -28*v - 90. Let y(b) = 2*b + 10. Let u(i) = -g(i) - 9*y(i). Calculate x(u(d)).\nAnswer: 500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - x. Let y(f) = f**2 + 3*f - 20. Let z be y(-7). Sort -5, z, x, -2.\nAnswer: -5, -2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 - 2*m + 2. Let n be o(1). Suppose n*k = -5*k + 75. Calculate the remainder when 72 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2844, 0.4, 1\/2, 3, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 74\/4*90\/(0 + 5). What is the greatest common factor of 37 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/247308 and 67\/166417675?\nAnswer: 1997012100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93\/4 of a century?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 3}. What is prob of picking 1 o and 3 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28465*i*t**3*y**3 + 3*i*t**3 + 2*t**3 - t**2*y**3 - 399*t*y - 60*y wrt i?\nAnswer: -28465*t**3*y**3 + 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40822 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odo when three letters picked without replacement from {o: 4, d: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12735 + 660 = -510*z - 2690 + 1805 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12118*w - 84843. What is o(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 + f**4\/2 - 5*f**3\/6 - 3*f**2\/2 + 104*f. Let x = -4 + 7. Suppose x*g - g - 10 = 0. Calculate l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, 3, 0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/1653 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42044 + -47617.5. Round k to the nearest 10.\nAnswer: -5570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6. Suppose -12 = -h*g - 2*g. Suppose g*l - 3*l - 168 = 0. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3.03, -5, 2\/5, -7\/4, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z - 430 + 175 = 2*z + 193 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 47. Suppose -r = -2*i + 3, 2*r + k - 3 = 2*i. Suppose 44 - 9 = r*y. What is the lowest common multiple of y and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573827542?\nAnswer: 2, 1361, 210811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*137.63741\nAnswer: -41.291223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1\/(-5) + 572\/10. Let n = o + -54. Find the third derivative of n - 12 + 14*w**2 + 10 - 26*w**4 wrt w.\nAnswer: -624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 + 2*n**2 + n**2)*(-26*n**2 - 53*n + 53*n) + (6*n - 4*n + 3*n)*(9*n**3 + 5*n**3 - 20*n**3) as y*n**3 + l*n**2 + f + d*n + t*n**4 and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 1 m when three letters picked without replacement from mzozozzmzmzz.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22866, -45583, -68150, -90567, -112834, -134951, -156918?\n\"Answer: 75*n**2 - 22942*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 + 181 + (-86)\/(-6) - 0\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12200587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -67995 * -0.05\nAnswer: 3399.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 * -16\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*u**2 + 21*u**2 - 42*u**3 + 3 + 17*u**2 - 11 - 108*u**2.\nAnswer: -42*u**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.45228085 rounded to one decimal place?\nAnswer: 190.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/6 - 3*g**3\/2 + 7*g**2. Let w be v(4). Which is bigger: w or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 2.95. Let i = 16.4 - 17. Let s = i - -0.9. Sort 4, s, x in descending order.\nAnswer: 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4782 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + 1. Let l = 16 - h. Let z = 7.8 + l. Which is the smallest value? (a) 2 (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193067 is divided by 135.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-231)*6*(-161)\/(-2). Solve 0 = -4*z - 19*z + t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256226810.\nAnswer: 2, 5, 7, 83, 44101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 862 - 2*x**3 - 6*x**3 - 1917 - 2296.\nAnswer: -8*x**3 - 3351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**8\/28 + 3*a**5\/20 - 19*a**2. Find the third derivative of z(b) wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c + 5*c)*(-7*c + 7*c - 13*c**2 + (1 + 2*c - 1)*(c - 2*c + 2*c) - 2*c**2 + c**2 + 4*c**2).\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63456 = 104*x + 61272 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 20. Let l(c) = -c + 13. Let t(i) = 5*h(i) + 7*l(i). Let k be t(-6). Let u(q) = 4 - 4*q**2 + 4*q**3 + 3*q - 3*q**k + 0*q**3. What is u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 2*x**2 - 2*x + 2. What is the units digit of m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 5*p = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*g - 15*g + 1 - 1 in the form i + m*g and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3361107, 3361093, 3361061, 3361005, 3360919?\n\"Answer: -u**3 - 3*u**2 + 2*u + 3361109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/19936 and -97\/712?\nAnswer: 19936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2921420*b**2 + 158615?\nAnswer: -5842840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)\/v*v**(5\/4))\/(v**2\/v)**(-5\/2) assuming v is positive.\nAnswer: v**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2641\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(9) - (sqrt(225) + sqrt(225)*2)) + sqrt(9))\/sqrt(3) - (0 + sqrt(3) + (sqrt(9)\/sqrt(3) + -3)**2).\nAnswer: -7*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133936 is divided by 36577.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 8*v**2 - 13*v**2 + 11*v**2 to t + k*v + y*v**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203240, 406478, 609716?\nAnswer: 812954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - (1 + -9) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 15*q**3 + q**2 - 2*q**2 + q**2.\nAnswer: -15*q**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2385883, -2386047, -2386211, -2386375?\nAnswer: -2386539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 92 + 1004. Let p = a + -193. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 2, z: 3, u: 6, c: 1, a: 1}. What is prob of picking 3 u and 1 l?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5 + 23. Suppose f - h = -b - 3*b, -4*b + 8 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5703 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/360 - f**5\/24 - f**4\/24 + 3*f**2. Let g(o) be the second derivative of x(o). What is the tens digit of g(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 380, 821, 1428, 2201?\nAnswer: 3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 1, -4, 5, -0.19.\nAnswer: -4, -0.19, 1, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.1 + -37.49. Let s = h - 1.6. What is the smallest value in 0.1, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 64.\nAnswer: -23\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r + 610 = -2540. Solve -5*h = r - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 4 + 2 - 24*m**2 + 30*m**2. Let t be x(4). Suppose t = 3*b + 29. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 70. Let p = 2563\/21 + -859\/7. What is the second smallest value in 0, -0.4, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3075, -2695, -2325, -1971, -1639, -1335, -1065, -835?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/26 + (21 - 26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 20. Let d be (-12)\/a*(-50)\/30. What is the highest common divisor of d and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/514 and 75\/8?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:44 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-14) - (-5520)\/(-560)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 - 4*b - 2. Let t(d) be the third derivative of -d**4\/24 - d**3\/3 - 5*d**2. Let h be t(-7). Suppose 3 = o + h. Determine s(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4339 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95041333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 446.277mg?\nAnswer: 0.446277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6395.652 centuries in years?\nAnswer: 639565.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/20 - 5*j**4\/12 - j**3 + 3*j**2\/2 + 2*j. Let d be 16\/2 + -1 + -1. What is the units digit of l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145536*m + 1474*m**5 - 145534*m + 673*m**5 - 129*m**2 wrt m.\nAnswer: 128820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -34. What is the closest to g in -0.5, -5, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 56 = -5*q, 3*q = -3*x - x + 27. Suppose -n + 2*w + 60 = -0*w, 2*n = -2*w + 96. What is the highest common divisor of q and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 4)\/(5 - 3). Suppose -l - 2*l - 36 = y. Let w be 122\/5 - l\/(-30). What is the highest common divisor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 22 = 11*a + 5*v, 4*v = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 27*q**2 + 27*q + 33. Calculate a(10).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16887 from -3139296917.\nAnswer: -3139280030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 8. Let y be ((-97)\/2 + -1)\/((-6)\/(-16)). Let m be y\/15 + (-64)\/20 + 3. Determine r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*q - 384 = 1533*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -63. Suppose m + 4*n = 11, 4*m - q = -0*n - 3*n. Put 10, 0, m in increasing order.\nAnswer: m, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3029 > -15152\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in -5, -4, 2748, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 divided by 160.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 - ((-150)\/40 + 4)*-41. Which is the closest to -2\/7? (a) -45 (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-9)\/(-6))*-2. Let k(i) = -4*i**2 + 1. Let m be k(l). Put m, -8, 0 in descending order.\nAnswer: 0, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -61*u + 2809. Calculate i(46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*g - 20814 + 1908 = 3488 + 7237 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06627909581 to four decimal places.\nAnswer: 0.0663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 522819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -163.2, 5\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 43454?\nAnswer: -43451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 - 2*g**2 - 2*g**4 + 8*g**2)*(-60 + 33 - 83)*(1 + 0 - 2)*(1 - 1 + 3) to the form i + w*g**2 + x*g + c*g**3 + b*g**4 and give w.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 0.066, 5, 0.3?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*(-4030)\/62*(-18)\/(-45).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238, -1270, -1302, -1334?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8075 is divided by 138?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 3 - -5 - -1 - 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 <= -246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/120 + k**5\/12 - 5*k**4\/24 - 2*k**3\/3 + 26*k**2. Give x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f + 21*f + 2*b + 2138, 2*f + 5*b + 2138 = 0. Are f and -1068 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 111.6490354 and -98003?\nAnswer: 98114.6490354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -26 (b) 5\/4 (c) -13\/4 (d) 2\/3 (e) -257\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*p = -412*p + 8959. Let z be 15\/(-135)*6*(p - 1). Let a be 2 + 0 + 84\/2. Calculate the greatest common divisor of a and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 6 - 6*w**2 - 13 + 7.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00080598 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51611.97 - 52377. Round i to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose -3*t + o = -4. Suppose t*j - 25 = 37. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 2*v - 2*v)*(54 - 2 + 16)*(46 - 59 + 45) + 25 + 5*v - 25 + (-4*v + 0*v + 3*v)*(1 + 0 - 3) + 2*v + 0 + 0 to the form d*v + t and give d.\nAnswer: -2167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -286 + 1996\/7. Sort 2, v, -0.5 in decreasing order.\nAnswer: 2, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r**2 + 5. What is b(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from {c: 3, m: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -2 + sqrt(432)*-2 - 2*(sqrt(432) + 0)) + ((sqrt(300) - (sqrt(300) - sqrt(300)*-1)*2 - sqrt(300)) + 0)**2.\nAnswer: -36*sqrt(3) + 4798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/10*(-14 + 4). Let p be ((-80)\/35)\/8 - (-32)\/14. Factor -12 - 3\/4*r**p + g*r.\nAnswer: -3*(r - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-22)\/6)*15. Let p = -6 - a. Suppose -5*m = -p*m. Solve 0 = 2*h - 4*q - 2, m*q = -3*h - 2*q + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u - 10. Suppose 2*k + 6 = u*q - q, q + k = 3. Suppose -i = -z - 2, -q*z + 2 = i - 3. Sort -4, -3, z in decreasing order.\nAnswer: z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 72644026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 372647*m - 6243. Let c be s(-131). What is c rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x + 63*x - 14*x + 89*x.\nAnswer: 107*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -156. Let l = -57 + u. Let s(a) = 2*a**2 + 4*a - 1. Let i be s(-3). Solve 5 + i = -l*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is next in 242, 244, 248, 254, 262, 272?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -2 - (-9 - -13). Let n(v) = 3*v - 3*v + 3*v + 4*v**3 - 5*v**3 - i - 5*v**2. Suppose 4*j + 14 + 10 = 0. Give n(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/30 + 16*d**4\/3 - 116*d**3 + 19*d**2 + 62*d. Suppose q(m) = 0. Calculate m.\nAnswer: 6, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413805?\nAnswer: 5, 43, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + (-1 + 2 - 2)*(3 - 3 + 2) - 2 - 1 + 2)*(4 - 2*k**2 - 4)*(-6*k**3 + 4*k**3 + 0*k**3).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Let k = -3.4 + l. Let s = -1.4 - k. Sort 3, -1\/2, s in decreasing order.\nAnswer: 3, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b - 20. Let i be y(-8). Let q = i + -91. Let g be ((-2)\/2)\/((-15)\/(-30)) + q. Which is greater: g or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12307, -11943, -11575, -11203?\nAnswer: -10827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11841.9258 - -11840. Round m to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 76. Let a be (380\/m - 1)*2. Suppose -a + 82 = -i. Solve 2*g - s - 11 = 0, 2*g = 5*s + 12 + i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 19*h - 12 - 37*h + 83*h**2 + 20*h. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12580854 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*g**2 - 87*g**2 + 103*g**2.\nAnswer: 213*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*r - 5764089 = 9240221. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f + 0 - 6*f**2 - 3\/4*f**4 + 0*f**3. Let n(m) = -5*m + 3*m + m. Determine n(u(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/120 - c**5\/20 + 5*c**4\/24 + c**3\/6 + c**2. Let f be z(4). Suppose f = -0*q + q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 (base 14) in base 6?\nAnswer: 104130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(4 + (-7)\/1). Suppose -2*w - 2*a = -8, -a = -4*w + 10 + 1. Suppose 3*p + 5 = -s - o*p, -4*s + w*p = -10. Let i(r) = -3*r**3 + r**2. What is i(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 67.6?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/6*v**4 - v**3 + 0 - 2*v**2 + 8*v. Find k, given that z(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 15 = 33*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m**3 - 3*m)*(-3 + 5 - 4)*(3 + 1 - 2 + (1 - 1 + 2)*(-5 + 2 + 4) - 3 + 4 - 2).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2333887.\nAnswer: 2333887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1110\/89 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Suppose t*w + 2 = a, 4*a + 3 = 3*w - 2. Let n be (-1 + 0)*1 - -1. Is n at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**3*u**2 - 31*q**3*u + 27*q**3 + 3*q**2*u**2 - 9*q**2 - 3*q*u**2 + q*u + 2873*u**2 + u wrt u.\nAnswer: 10*q**3 + 6*q**2 - 6*q + 5746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 150 - 14 = 0. Let a(j) = -j**3 - 7*j**2 + 5*j - 12. What is the remainder when t is divided by a(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, w: 1, t: 1, r: 1, j: 2}. Give prob of picking 1 w and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**8\/6720 + u**7\/360 + u**6\/72 + u**5\/15 - 13*u**4\/8 + 69*u**2. Let i(k) be the second derivative of q(k). What is i(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81188.\nAnswer: 2, 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 85829270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w + 3*g = -4, -2*g + 8 = 4*w. Suppose 2*i + 2*y - 4 = -2*y, 4*y - 24 = -w*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 - 3*y**4 - 2*y**4)*(-160 - 790 + 64 + 66).\nAnswer: 8200*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3)\/(1\/(-3)). Solve -p + 5 = 3*p - x*j, -5*p + 3*j = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.025 (b) 2\/11 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -1 + (2319 - 2348)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.068258 decades to months.\nAnswer: 848.19096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = 13*n - 301 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2 + 1. Let g(y) = -12*y**3 + 12*y**2 + 36. Let q(o) = -g(o) + 36*l(o). What is the third derivative of q(h) wrt h?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2385267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -716?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5.141 times 199\nAnswer: -1023.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.65492 days in milliseconds?\nAnswer: 574985088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x + 2. Let k(z) = -131050*z**2. Calculate y(k(m)).\nAnswer: 1441550*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (78\/4)\/(3\/114). Suppose -3*p = 7*p + 3*p. What is the second derivative of 0*m**2 + p*m**2 - 726*m + a*m + 21*m**4 wrt m?\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -603\nAnswer: -12060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*n + 7, 7*n - 3*n + 16 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 191*g + 462. Determine a(-93).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/3)\/(18\/(-216)). Let h = -37 + o. Solve 0 = -5*r - z + 20, 0 = -5*r + 3*z + 43 - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/6 + 535*k**2. Let n(v) be the second derivative of -v**4\/12 - 4*v. Give n(l(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 410774704*q\/3.\nAnswer: -4*q*(q + 102693676)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -1\/8, 1, 1\/2046?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 11\/3. Which is the second biggest value? (a) -3\/5 (b) g (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 12*u**2 + 9*u + 13. Let x = 53 - 20. Suppose 0*j - 3*j = x. What is the units digit of f(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1908\/7 - -272. What is the closest to -2 in 1\/3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8488565, -8488601, -8488637, -8488673, -8488709?\nAnswer: -8488745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/12 + 19\/(-36). Let d = 19.1 + -19. Sort -0.1, d, i.\nAnswer: -0.1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 274 in 7, 0, 3\/2, 3, -4\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - 2*k**2 - k + 2. Suppose r + 496 = 6*r + 2*b, -4*r + 395 = b. What is the remainder when r is divided by g(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (7 - (-1 + 3 + 4) - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1590 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.26 - -1.06. Let d be 20\/16 + (-22)\/72*3. What is the second smallest value in u, d, -0.7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1335 divided by 1718.\nAnswer: 1335\/1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/30 - t**5\/10 + t**4\/4 - 5*t**3\/6 + 28*t**2. Let f(j) = -j**3 + j**2 - j + 1. Calculate 6*f(p) + h(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(704) + 5) - sqrt(704)) + sqrt(704))*4*3)**2.\nAnswer: 414720*sqrt(11) + 3779136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from errrenccrccrrmr. What is prob of picking 1 r, 1 e, and 2 c?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 8. Let w be u(6). Let m(k) = 8*k**2 - 33*k + 11*k**2 + 5 - 8*k**2 + 35*k. Let j be m(-3). What is the greatest common factor of w and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/3*(4 + -2 + 270010\/(-104)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {s: 4, r: 3, n: 3, o: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2488*g - 2489*g + 3. Find the third derivative of -177*r**g - 6461*r**2 + 6614*r**2 + 37*r**3 + 1 wrt r.\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 2744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6\/9*-3). List the prime factors of 360\/12 - (y - 3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/(2\/8). Let l = -0.13 - 7.87. Let t = -8.4 - l. What is the nearest to 2\/3 in t, 2, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + 206. Let i = x + -105. Suppose 17*j - i*j - 5 = 0. What is the smallest common multiple of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/9)\/((117\/(-54))\/(-13)). Let n(s) = 25*s + 226. Let f be n(p). Is f at least as big as 129\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(209)\/(-5*sqrt(11)))**2 + sqrt(133)\/((sqrt(7) + sqrt(7)*-3)*-1).\nAnswer: 5*sqrt(19)\/2 + 644\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.156*-27.1.\nAnswer: 4.2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4, 13 in decreasing order.\nAnswer: 13, 4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1336, -2669, -4004, -5341, -6680, -8021, -9364?\nAnswer: -10709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 1705?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193983557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**7\/84 + 11*h**6\/48 + 13*h**5\/8 + 205*h**4\/48 + 35*h**3\/6 + 2*h**2. Let y(s) = 0. What is s?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 14, 43, 90, 161?\n\"Answer: r**3 + 10*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13688*j + 26 = -110*m - 13690*j, 4*m + 3*j - 27 = -66 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55131\/7*t**2 + 8577*t**4 - 34344\/7*t - 4908\/7 + 34491\/7*t**3 - 21*t**5 = 0. Calculate t.\nAnswer: -1, -2\/7, 1, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437 + 67 - 21)*(-2*m**2 - 4 + 4).\nAnswer: -966*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:00 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 16529.5 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26194601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1564, -2278, -2992, -3706?\n\"Answer: -714*a - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i - 4 = 0. Suppose -2*x - 50 = -5*g, -4*g + 4*x + 66 = 26. List the prime factors of g + i + -1 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4*p - 37*n**4 - 535*n**3*p + 12*n**3 - 46*n**2*p - 88*p + 38 wrt n?\nAnswer: 48*n*p - 888*n - 3210*p + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 104005 - 9?\nAnswer: 103ffc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*g - 138, -g + 310 = -5*t - 3*g. Let u be 3\/4*t\/(-12). Factor 1\/2*q**5 + 2\/3*q**3 - 4\/3*q**u + 1\/3 + q**2 - 7\/6*q.\nAnswer: (q - 1)**3*(q + 1)*(3*q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = b + 253, 4*b = -2*z + 7*z - 262. Suppose 0 = -5*p + z + 120. What is the third derivative of -p*u**3 + 12*u - 20*u**2 - 12*u wrt u?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p, 3*p - 41 = s + 1. Let v = 33 + s. Find the second derivative of -4*z + 2*z - 10*z**v + 3*z wrt z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*w + 6817 = 425*w. Calculate the remainder when w is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s + 8. Let b be n(8). Let g be ((-75)\/2)\/(6\/b). Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32798*c**5\/3 - 43732*c**4 + 196804*c**3\/3 - 131216*c**2\/3 + 10938*c - 4\/3.\nAnswer: 2*(c - 1)**4*(16399*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0*m)*m)**(6\/11)*(m**(-1))**37*((m*(m**5\/m)\/m)\/m**(-3))**(-48) assuming m is positive.\nAnswer: m**(-4097\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1912733 rounded to three decimal places?\nAnswer: 1.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289\/15 - -61\/3. Factor 2\/15*g**3 + 8\/15 + s*g + 2\/3*g**2.\nAnswer: 2*(g + 1)*(g + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4539.\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2 + 11\/2*k**6 + 0*k**3 + 0*k**5 - k + 0*k**4 - 62. What is the second derivative of w(a) wrt a?\nAnswer: 660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26156 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 2:05 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17265)\/(-1914) - (-45)\/(-210)*42 and 149\/1044?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let n(a) = 2*a**2 + 60*a - 85. Let q(z) = -3*z. Let w(p) = -n(p) + q(p). What is the remainder when w(-32) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (272\/(-24) - -11) + (-7)\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 72 = -5*d. Solve 2*g = -g - d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2521583, -5043041, -7564499?\n\"Answer: -2521458*y - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -21. Let j = f + -26\/3. Let n(r) = -r**2 - 10*r - 9. Let x be n(-9). What is the nearest to x in -2\/7, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4 - 4 + (-2*n + n + 2*n)*(3 + 2 - 3))*(2 + 2 - 6) + (12*n + 2*n + 2*n)*(-2 + 1 - 14).\nAnswer: -242*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jijg when four letters picked without replacement from itiiqbjgiggbjbt?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/3, -0.5, 367, 0.3, 27, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/(c\/(c*c\/(c\/c**1)*c)))*c))**(-2\/37))**(2\/81)*c**(-5\/6)\/c**(-4)*(c*((c\/(c*(c*c*c\/(c*c**0\/c)*c)\/c))\/c)\/c)**0 assuming c is positive.\nAnswer: c**(18973\/5994)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 1, a: 4, x: 2}. What is prob of sequence aho?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6993700, 13987466, 20981230, 27974992, 34968752, 41962510, 48956266?\n\"Answer: -p**2 + 6993769*p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*b - b. Solve -5*j - 3*d + 16 = 0, -3*j = -6*j + b*d - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7882, 7883, 7884, 7885, 7886, 7887?\n\"Answer: v + 7881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -18. Let z(m) = -m**2 + 9*m - 12. Let x be z(q). Let w(s) = 2*s + 6. Calculate w(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -9. Let r = 1\/71 - 151\/639. Suppose 2*m - 3 + 13 = v, v = m + 5. Which is the second biggest value? (a) r (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 160 = 5*a, -5*c + 68 = 5*a - 42. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from czcczczb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**2 + 9*d - 9*d + (-d - 2*d**2 + d + (-d + 2*d + d)*(0*d - 2*d + 0*d))*(7 + 5 - 1) to the form i*d + o + u*d**2 and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -87\/2, 1, 49 in increasing order.\nAnswer: -87\/2, -3, -2, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*r**2 - 13 - 12 + 1.\nAnswer: -362*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36637 times -1947?\nAnswer: -71332239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12038 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 - 3028740*s**2 - 42402948*s - 148411004 = 0. What is s?\nAnswer: -7, 757199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q - 17. Let u be t(6). Suppose -i = 4*s - 79, s - u - 6 = 5*i. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*w + 210*w + 13 - w**2 + 0*w**2 as k + u*w**2 + n*w and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4909140 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**3 - 4*z**2 + 17*z. Let t(i) = 7*i**3 - 6*i**2 + 18*i. What is 2*t(m) - 3*y(m)?\nAnswer: -10*m**3 - 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 593983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(9\/(-18) + (-160)\/(-272)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + q)*(17 - 57 - 57)*(0 + 0 + q).\nAnswer: -97*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Let r be 2*((-5)\/(-2) - 0). Find the second derivative of -n - n**5 - 3*n**r + a*n**5 + 0*n**5 wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4435 smaller than -4428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 20*c**3 + 15*c**2 + 50*c - 40.\nAnswer: -5*(c - 1)**2*(c + 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouo when three letters picked without replacement from booubbb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 - h**5\/20 - 7*h**4\/24 + 2*h**3 - 16*h**2 + 2*h - 15. Determine f(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2 + 6. Let p = -49.8 + 50.8. Let s be 2 - (0 + 12\/5). Which is the nearest to x? (a) 5 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 186.8 (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/616 and -17\/77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 - 23)*(-75*x - 100*x + 42*x) as t*x + w and give t.\nAnswer: 2261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w**2 - 2*w - 2. Let v be s(-2). Suppose v = 4*d - 10. Calculate the smallest common multiple of 6 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exqfxfffq. What is prob of picking 1 x and 2 q?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545067180 and 540.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 4, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 59 (b) 0.4 (c) 2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -34244522 (base 6) to base 2\nAnswer: -11111111111010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*f**2 + 40*f**2 + 35*f**2 to q*f**2 + b*f + o and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuiuuiuuuuuuiuii. What is prob of picking 4 u?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 288941713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*x + 741 - 2391. What is the lowest common multiple of x and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f + 26*f - 11*f - 81 = 3*x, -6 = 2*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 9*i = -2948. What is the common denominator of 17\/3 and (2 - 3) + i\/44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2. Let p(v) be the first derivative of 7*v**3\/3 + v - 37. Determine 6*i(d) - 5*p(d).\nAnswer: d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(1 - 1 + 3) - 2 + 0 + 4)*((-2 + 2 + q)*(-1 + 1 + 1)*(-147*q - 439 + 439) + 5*q**2 + 3*q - 3*q).\nAnswer: -710*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dodd. What is prob of sequence ddod?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p**5 - 3248*p**4 - 182916*p**3 - 4155048*p**2 - 33384960*p - 12700800 = 0. Calculate p.\nAnswer: -60, -21, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 3 = 3*g - 5*c, 4*g = -c - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-234))\/2*4*27\/(-18).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.61113 millilitres?\nAnswer: 0.05561113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*o + 3124, -10*y + 4146 = 4*o - 7*y. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -3*o + 2*o. Let v = o - 163. Suppose 5*f - 2*y - y - 281 = 0, -4*y - v = -3*f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073855911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19720 and 4060?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*r + 2*r - 126501 = 0, -5*c = -5*r + 126495. What is c rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120100101 (base 3) to base 8.\nAnswer: -74227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15625 + 7886 = 11*t - 70330. List the prime factors of t.\nAnswer: 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123133212 (base 4) to base 14\nAnswer: 2d07c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:01 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.225469mm to centimeters.\nAnswer: 0.1225469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7185582?\nAnswer: 2, 3, 617, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**2. Let z(v) be the first derivative of 0*v - 3\/2*v**2 - 1. Calculate z(j(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*v**3 - 67*v**2 - 528*v**3 + 1052*v**3 + 1239*v**2.\nAnswer: -2*v**3 + 1172*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2006 (base 8) to base 6\nAnswer: 4434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 316, 473, 630, 787?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -164\/5. Put -1\/2, g, -0.1 in descending order.\nAnswer: -0.1, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.484 + 2.454. Which is the smallest value? (a) s (b) -4 (c) 14 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 divided by -2\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 1, z: 1, v: 1}. What is prob of sequence vz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 2*p. Let c be b(1). Sort c, 10, -2.\nAnswer: c, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1523 divided by 2658.\nAnswer: 1523\/2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -90)\/10 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22336696527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 929*d. Let b(h) = -2*h**2. What is b(a(z))?\nAnswer: -1726082*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*f - 1600 = -8947 - 15117. Calculate the remainder when 322 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-36)*-6)\/(10\/15). Solve v*g - 20 = -0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124.513 months to centuries.\nAnswer: 1.7704275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z = 140 + 516 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -495485*m*p*s + 2*m*p + 161*m*s*v + m*s + m + 133401*p*v**2 - 2*p + 1 wrt v?\nAnswer: 161*m*s + 266802*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -19036*f - 1835. Is i(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -d. Let o be d\/6*-6 + 2. Let t(m) = 3*m**2 + m + 2*m + 4 - 1 + m**3. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.243003431 to 4 decimal places.\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -17*z + 12*z + 785, -2*z = -2*t - 310. Let r be z\/(-96)*(-18)\/20. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, j: 1, w: 2, e: 4}. What is prob of picking 2 e and 2 w?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -0.5 (c) -42 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-1 - 0) - ((34 - 24) + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805 and 33166.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -7*x - 2. Solve 0 = -q - x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65 or -14986\/3?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 - 6*s - 1. Suppose 4*j - 12 + 0 = 0. Let d be j*2*(4 - 5). Let l be w(d). Calculate the greatest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**3 - 2*h**2 - h + 2. Let z be w(1). What is the smallest common multiple of 20*4\/z*-2 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16156765 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-12))\/(1*-1) - -3. Let s be (0 + (-2)\/(-6))*6. Suppose 3*q - s = 4. Solve 0 = -2*h - q*h - l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggxhxfgohag. Give prob of sequence oha.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22576 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**5 + 11*k**4 - 12*k**3 + 4*k**2 - k - 1. Let i(u) = -u**5 + 2*u**4 - u**3 - u**2 + u + 1. Let s(o) = -i(o) - y(o). Determine a so that s(a) = 0.\nAnswer: 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 882?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 14 - ((6 - -9) + -14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19162448.\nAnswer: 2, 37, 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u**3 + 90*u**3 + 157*u**3.\nAnswer: 289*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f. Let v = 7 - 19. Let z be (-10)\/(-4)*v\/15. Let i(d) = 7*d. Let p(o) = z*i(o) + 3*l(o). Let g(m) = 2*m. Determine p(g(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -450, 0.3, -0.1, 4\/5, 3.\nAnswer: -450, -0.1, 0.3, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-3)*(-6)\/(-21). What is the closest to 2 in u, 4, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/(sqrt(36)\/sqrt(4) + sqrt(9)) - sqrt(18))\/(sqrt(9) - sqrt(1089)*1) + -2 - (-5 + -3 + 1*sqrt(162) + sqrt(162) + sqrt(162)*2 + 3))**2.\nAnswer: -2157*sqrt(2)\/10 + 518761\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 420\/50*(-10)\/(-4). Suppose -k*b = -12 - 2928. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, -488\/9, -0.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 1}. Give prob of sequence eke.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1380160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -188, -4, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 14*m**2 + 12*m + 8. Calculate the remainder when z(-15) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -2605199.\nAnswer: -78\/2605199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10573*n - 10455*n + 1888 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 60128 and 60123 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 364167b + 0?\nAnswer: 364167b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppggg. Give prob of sequence ggpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13698 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.504 times 1205?\nAnswer: 40372.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1928158, 1928159, 1928160, 1928161, 1928162, 1928163?\n\"Answer: s + 1928157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4413848 minus -0.04?\nAnswer: -4413847.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -21\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 3}. What is prob of sequence ig?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**3\/3 + 37. Let z(y) be the third derivative of 0*y + 0*y**3 + 0 + 1\/12*y**4 + 2*y**2. Calculate z(g(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -30 - 30. Which is smaller: n or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 17. What is p(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 372080747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*m + 70, -9*m = -14*m + 3*x + 71. What is the greatest common divisor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 795 - 5564 = 87*t + 199*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 3*q**2 + 40. Let u(l) = -2*l**3 - 2*l**2 - 39. Determine 2*r(d) + 3*u(d).\nAnswer: -2*d**3 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 + 7*r - 4. Let d be w(8). Let n be (24\/(-48))\/(1\/d). Solve 4*p = -0*m - m - n, m - 2 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/((180\/225)\/(20\/25)))\/(2\/4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -4*m, -3*a + 0*m - m + 7 = 0. Let f be ((0 - 1)\/((-3)\/12))\/a. What is the hundreds digit of 104 + f + 0\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.73 to zero dps.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p. Let r(i) = -36397*i. Calculate r(c(v)).\nAnswer: 363970*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 5. Let g be f(5). Suppose 0 = -5*j + 85 - g. Solve 3*s + j = 2*u, -3*u + 0*u = s - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrrjrrjrtrrrr. What is prob of picking 1 j, 2 r, and 1 l?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*b + 7*x - 12*x, 5*x + 471 = 2*b + 463 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24 - (2 + (-3 - 0)). Let a = 9 - o. Let m = 32 + a. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32180009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 211394.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - 34\/72. Let x be (8\/(-18))\/(1334\/(-261)). Which is the closest to 0.1? (a) x (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 15, 44, -0.061, 16?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*8\/12*-9. Let c(k) = k**3 - k**2 - k. Let l(t) = 3*t**3 - 12*t**2 - 6*t. Let p(n) = a*c(n) - l(n). Suppose p(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6747 divided by 3\nAnswer: -2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 times 8531?\nAnswer: 6091134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 593362?\nAnswer: 593362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + -0.25. Let h = -24 + 27. Suppose h*f - f + 4 = 0. What is the third biggest value in y, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1602\/90 + (-14)\/2)\/(1022\/210 - 5).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 2:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 4*k**2 + k**2)*(-3*k - k + 2*k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29774, 119219, 268292, 476993?\nAnswer: 745322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132419330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from ezwdnfwn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.03 - -0.03. Let y = 3.9407 + 0.0593. Put d, -2\/3, y, 0.8 in descending order.\nAnswer: y, 0.8, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**4\/24 + y**3\/6 + 2*y**2 + 9*y. Calculate l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 10*i**2 - 3*i - 10. What is the hundreds digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3957570 and 5364706?\nAnswer: 241411770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49287 - -20658. Let g = p - -28627.7999. Let i = -1.2 - g. Round i to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 - -450. Sort 58, j, 5, -3, -1 in descending order.\nAnswer: 58, 5, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2 + 1\/4*o**2 - 13\/4*o.\nAnswer: (o - 15)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/15974 and -1\/1842715?\nAnswer: 25798010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d - 16*d - 45*d + 33.\nAnswer: -124*d + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 201 = 4*x - 217, -3*x = -318*g - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001*y - 995*y = -102. Put y, -0.2, 0 in increasing order.\nAnswer: y, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {o: 2, m: 3, a: 1, l: 3, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 934*x**3 - 7*x**2 + 22*x - 206?\nAnswer: 5604*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -277719, 4 in increasing order.\nAnswer: -277719, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 768 + -766. What is o in -9*o**2 - 6*o**m - 30 - 6*o**2 + 55*o - 5*o**3 + o**2 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231193, 231097, 231001, 230905?\nAnswer: 230809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5)*-2)**2*2.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6957.5031666 and 0.089?\nAnswer: 6957.5921666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35550 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m. Suppose -20*r + 16*r = 0. Let w be s(r). Suppose v - 3*i + 6 - 20 = w, -3*v + 47 = -4*i. Solve -5*p + j = 8 + v, -3*p = 4*j - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10209841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98996, -98989, -98982, -98975?\nAnswer: -98968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*768\/(-832)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a + 4*y - 28596 = -74*a, 0 = 5*a - y - 71501. Is 51 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 35.3 (c) -38 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 133769.\nAnswer: -2, 5, 133769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*v, 4*a - 77 + 49 = -4*v. Solve 0 = -v*d + 6 - 1, -q + 4 = 4*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 3)*5*1. Let j = 25 - p. Is j*-2*(-2)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68567 and -69007 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2299219 by 23.\nAnswer: 2299219\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 306*i + 1552*i**2 + 311*i + 291*i**2.\nAnswer: 1843*i**2 + 5*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t - 4. Calculate b(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 19 = 5*p, 0 = -3*f - f + 3*p - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/12 + p**3\/6 - p**2 - 2*p. Let c(y) = -y**2 - 18*y. Let o be c(-18). What is a(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-4)\/((-1)\/((-12)\/(-1)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -13*((-45)\/5)\/(-3). Let k = t + 117. Let d be 13\/(k\/12)*(-1 + 3). Solve -n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-14)\/(-6))\/((-3)\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 1\/8*s**4 - 9*s**2 + 1\/2*s**3 + 0*s + 0. Calculate y(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678219761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 16295?\nAnswer: 2\/16295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 52627220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09249934 times 2?\nAnswer: -0.18499868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3145843 is divided by 2309.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(153) + 3*sqrt(153))*-6)**2 - (-3 + (1 + sqrt(153))*6)**2)*-3.\nAnswer: -247836 + 756*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n - 8. Let v = 101 - 90. Let a(w) = 7*w - 4 - 8*w - 6*w. Let b(s) = v*a(s) - 6*g(s). What is b(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5856043691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2\/2 + c - 1. Let l(x) = 2*x - 5. Let g be 9 + 1 - (5 + -30 + 38). What is g*u(w) - l(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 2*o**2 - 2*o + 1. Let p be n(1). Suppose -2*c + 10 - 2 = 0. Let h = p + c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 + 100000?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8633801363592 from -0.1.\nAnswer: -8633801363592.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.8, 2.45, 0.133, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -286*o + 6284. Determine i(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 896*t + 1808.\nAnswer: -4*(t - 226)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7998 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/5 - 38763*z**2\/5 - 73429959*z + 165522278279\/5 = 0. What is z?\nAnswer: -19597, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = 3*k - 171, -3*k + w = -189. Let o = k + -58. Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:02 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34710)\/(-35) + -32 - (18\/(-14) + 1). Calculate the greatest common factor of d and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20813 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g + 347. What is q(-51)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549*b + 1524*b = -375 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 w when three letters picked without replacement from whvhxhxh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 19*z = 8. Let m be ((-3)\/(-42))\/(z\/(-24))*-1. Let k be 2\/(-7) + 30\/(-140). Which is the closest to k? (a) 4 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6044.68 and -3202.\nAnswer: -9246.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a = -5*f - 219, 0 = 4*a - 5*f + 189. Let t = -13 + a. Let c = -57 - t. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2977*i**2 - 3081*i**4 - 1271*i**4 + 73984 + 16*i**5 - 18*i**2 + 309*i**2 - 223040*i + 295924*i**3 = 0 for i.\nAnswer: -1, 1\/2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trjr when four letters picked without replacement from {e: 1, t: 4, r: 2, j: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 5*i**4\/24 + i**3\/6 + 2*i**2 + 5030*i - 2. Let b(y) = -y - 1. What is 2*b(n) + o(n)?\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odw when three letters picked without replacement from dwdwddwodoodwo.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/9)*p**(-2))**(2\/37) assuming p is positive.\nAnswer: p**(-22\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1))**26*c**(-5\/4)*(c*c\/c**(4\/7)*c)\/c assuming c is positive.\nAnswer: c**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -158, -145, -118, -71, 2?\n\"Answer: j**3 + j**2 + 3*j - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/14))**4*(h\/h**(-2\/9)*h)**45 assuming h is positive.\nAnswer: h**(702\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -5\/4, 0.5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 18*w - 192. Let q(u) = u**3 - 24*u**2 + 38*u - 82. What are the prime factors of q(w)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 + (-810)\/(-42) + 1. Find the common denominator of (20 - j) + 1\/((-10)\/(-93)) and 11\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481178667 to the power of 1\/2, to the nearest integer?\nAnswer: 38486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/1*(-36)\/15. Suppose v = -v + b. What is the lowest common multiple of 5 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 5. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51728753 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-585)\/(-165) + -3)*-11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-15)\/(-9))*105\/(-126).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 9*b - 9. Determine d(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**2 + 23880*p - 10595475 = 0.\nAnswer: 495, 4281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 53876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(35\/12)*1\/(2\/(-2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = 3. Suppose -111 = j - h*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1831 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11324 - 0?\nAnswer: -11324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 65 + 87 - 22 - 401*j**3 - 6*j in the form p*j**3 + s*j + o*j**2 + z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - (2 + -5)) + -413 + 417?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404 + 0 - (-1781)\/(-137) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10577 - a?\nAnswer: 1056b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = g. Let s be 11 + g + 0 + 2. Solve 5*m = -5*j + 2 - 22, 4*m + s = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m. Let c(y) be the third derivative of -y**8\/20160 + y**5\/60 - y**2. Let p(l) be the third derivative of c(l). Give p(h(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10465 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -880*r + 4410. What is l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64839144 by 4.\nAnswer: 16209786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/95)*v*v**(-1\/25))\/(v*((v*v**19)\/v)\/v)**(5\/6) assuming v is positive.\nAnswer: v**(-42449\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 - 13*i + 8. List the prime factors of v(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 863 - 433?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {e: 1, d: 2, r: 1, w: 1, s: 2, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*u**3 + 18*u + 308?\nAnswer: 39*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1485\/11)\/(-15) - 1*(0 + -16). Let v be ((-8)\/(-12))\/(2\/726). Let k = v - 165. What is the highest common divisor of j and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67 or 1677\/25?\nAnswer: 1677\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 divided by -269?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = o - 1. What is the highest common divisor of 82 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146a3401 - 1?\nAnswer: -146a3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 + 147976332*t**2 - 285823*t + 924.\nAnswer: -24*t**2 + 295952664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261469 is divided by 9489.\nAnswer: 5266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3697500534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1303 - -51?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r - 3*r + r**2 + 5 + r - 1. Let t be i(-8). Suppose 63*q + d - 7 = 58*q, q + 7 = 4*d. Sort q, t, -1, -2 in ascending order.\nAnswer: -2, -1, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:26 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 11 - 6 - (2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = -8*f. Let d(w) = 7*w + 563. What is the units digit of d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/19))**(8\/3) assuming s is positive.\nAnswer: s**(32\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:38 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -k - 43. Let x be k\/(((-9)\/(-21))\/(-1)). Let o be (8 - x)\/(1\/4). Solve c = -o*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.337308m?\nAnswer: 0.000337308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/(-12)*6\/(-168)*43 and 7\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyoovhohyovoohssh. What is prob of picking 2 v?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4815508 + 4813259 = -173*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/474*41\/((-8364)\/(-180)).\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 14. Let h be v(-7). Solve h = -2*q - 3 - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*a**3*o**2 - 2*a*o**2 + o**2 + 2*o wrt a.\nAnswer: 81*a**2*o**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*(-30)\/12. Suppose -r*k = -2*k - 24. Let y = -6 + k. What is the least common multiple of 3 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10625688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - (19 + -13) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 3*s - 4*s)*(3 - 11 + 7) in the form a*s + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -16. Let m = 118 - 117. Sort m, 2, c in decreasing order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44076 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229331 is divided by 1125?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Let c = 8 + -7. Suppose 4*g = 5*x + 10, -k*x + 0*x = -g - c. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) - 5\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/7, -0.3, -5 in descending order.\nAnswer: 2\/7, -0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0\/(-3) + 0. Let v be (u\/1)\/(3\/(-2)). Let f = v - -4. Calculate the lowest common multiple of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.51 and 821.\nAnswer: -4523.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) 3 (d) -1\/4 (e) -103\/3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 2*t**6\/5 - t**5\/60 + t**4\/12 - t**3\/6 - 12*t**2. Does 10 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -165.6 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 881531 or 881710?\nAnswer: 881710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 0 + (14 - 13) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38 times -0.472\nAnswer: 17.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 238 (c) 8 (d) -545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.48153 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)*h*h**(-12))**(4\/3)*((h\/(h*h**10))\/((h**(-1\/12)*h)\/h))**(-20\/9) assuming h is positive.\nAnswer: h**(191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-48)))\/x*x*x**47*x*x**(1\/10)*x**(2\/5) assuming x is positive.\nAnswer: x**(193\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84 in -0.5, 98\/15, -0.4, 0.22, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001697 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + n**2 + n**2)*(-862 - 26*n + 862) to j*n**3 + a + m*n**2 + b*n and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 4*y + 1. Let o be u(-4). Let z be -3 + (-2 - -7)*o. Suppose 5*q = -17 + z. Let m(v) = v**3 + 2*v**2 + 2. Calculate m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, -0.12, 0.16 in decreasing order.\nAnswer: 1, 1\/2, 0.16, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 69, 105, 141, 177, 213?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791*f**2 + 398*f**2 + 392*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-29)*n*n**(5\/4) assuming n is positive.\nAnswer: n**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3\/43 (b) -0.1 (c) -0.7 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 4*s - 2*s + (1 - 4*s - 1)*(1 - 4 + 4) + s - 6*s + 3*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u. Suppose u = -3*g - 15 + 6. Which is the closest to 1? (a) g (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117516615 or -117516616?\nAnswer: -117516615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*k + 383960 = -27*k - 41*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.24 + -2. Let p = q - -0.06. Let w(z) = z - 12. Let x be w(7). Which is the closest to 4? (a) x (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Let x(l) = -l + 4. Let f be x(1). Suppose r*m - 5*i = -m + 7, f*m - 32 = 4*i. Solve -j - t + 9 = 0, 1 = j - 4*t + m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21)*7)\/(12\/(-120)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.69 - -11.69. What is the closest to 0 in 4, c, 0.22, -3\/4?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 1, a: 2, m: 1, z: 1, l: 1}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85240473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.088 + -0.028. Let j be 2*2\/(-18) + 20\/45. What is the third smallest value in j, -5, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33464, 33469, 33476, 33485, 33496, 33509, 33524?\nAnswer: 33541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.359 minus -0.01?\nAnswer: -0.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10842.\nAnswer: 2, 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 5. What is j(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 40. Let m be l(-18). What is the tens digit of (-1)\/(m\/2820*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2)\/2*1. Suppose 0 = g - 4*g - 189. Let w be 3*(-6)\/g*-1. Are w and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/22542 and 43\/2574.\nAnswer: 743886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*h + 8. Suppose l + 17 = 4*g, -2*g - l + 16 = l. Let n = 7 - g. What is the least common multiple of h and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.5 + -7. Let z = d - 0.1. Which is the smallest value? (a) z (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*q**4 + 4812*d*q**3 + 1395*d + 16*q**4 - 9*q**3 + 9469*q**2 + q wrt q.\nAnswer: -48*d*q + 28872*d + 384*q - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 97988893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 2. Let n = 2 - -3. Suppose 0 = n*s - 111 - 109. Calculate the remainder when s is divided by x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a - 0?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-8)*(-12)\/(-14). Suppose 0 = -2*t + 5*n + 29, 111*t = 113*t + f*n + 11. What is p in 0 + 9\/8*p - 21\/8*p**t - 3\/8*p**4 + 15\/8*p**3 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 7*r**2 - 2*r**2 to the form d + x*r + w*r**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + 192. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 8:10 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5315380 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 58.95. Let s = a - -0.05. Let l = 0.01 - -3.99. What is the second biggest value in s, l, 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + 64. Suppose 309 = 44*y - 41*y. Is y less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 37*v - 225. Let c be x(10). Suppose -w = 0, 5*t - w = 2*w + c. Solve -k = -10*k + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 652*i**3\/3 - 4*i**2 + 8*i - 133. What are the prime factors of w(1)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -12.868. Let k = v - -0.185. What is k rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 9*v**2 - 9*v + 1. Let z be k(7). Suppose 4*s - 452 - z = 0. Calculate the remainder when s is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8*v + 9)*(158*v + 108*v - 47*v).\nAnswer: -1752*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -9369430.\nAnswer: -1\/267698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -9. Let r(c) = -c - 2. Let x(i) = -5 - 1 - 4*i - 1. Calculate f*x(w) + 7*r(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1056 and 1147476.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-12 - -16) - (7 - -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h**4 + 50814 - 50817 - 3*h**2 + 2*h**2 - 2*h**3 in the form c*h**2 + q + b*h**3 + x*h**4 + d*h and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:09 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8279 divided by -17?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 525039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 310326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*d**3 - 66*d**3 - 18 - 54*d**3.\nAnswer: 2*d**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 5. Let y be m(5). Let u = y - -12. Is 2*u\/8*94 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-n**2 + 5*n - 5*n) + (2*n - 2*n - n)*(5*n + 2*n - 4*n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7)*b*b\/b**(-4)*b*(b*b**(-1))**(3\/11))**(1\/27) assuming b is positive.\nAnswer: b**(58\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 147 = 263. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 - 2) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1790571365 divided by -162779215.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 0.2, -2\/7 in decreasing order.\nAnswer: 23, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -17*l - 18. Calculate p(4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 26944.\nAnswer: 26944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 45*u**2 - 7*u + 7. Let o(q) = -q**3 + 30*q**2 - 5*q + 5. Let x(l) = -5*h(l) + 7*o(l). What is the third derivative of x(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 466*o**3 - 87210*o**2 + 4288950*o - 67068000.\nAnswer: 2*(o - 45)**3*(o + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 10*i**2 - 2*i - 19. Let v be 7\/((-35)\/30) + -4. Let b be j(v). Let r(n) = -n**2 + 3*n + 2. Let p be r(3). Put -2, p, b, 3 in increasing order.\nAnswer: -2, b, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2137.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3348, 3360, 3374, 3384, 3384, 3368, 3330, 3264?\n\"Answer: -z**3 + 7*z**2 - 2*z + 3344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09270769 - 0.0927. Round h to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -34 - ((-7)\/(-2) - (-36)\/(-72))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(1617\/44) + (-72)\/(-21). Suppose -3*j - l*i - 2338 = 267, -j = 4*i + 863. Is j greater than -871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 31 = -2*t. Put 1, t, -20, 5 in decreasing order.\nAnswer: 5, 1, t, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 22764*x - 43183308.\nAnswer: -3*(x - 3794)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -4*c**3 + c**2 + 0*c**2 - 10 - 5*c**2 + 7*c**3 - 5*c. Let u(t) = 4*t**2 - 4*t - 2. Calculate -2*j(a) + 5*u(a).\nAnswer: 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 1022?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n + 23. List the prime factors of d(-7).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -330\/13 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103 or -31282?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*v - 1520, -v + 312 = a - 0*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 0)\/(1 - 2). Suppose 13 = z*m - 17. Suppose -2*v - 2 = v + h, -3*h - m = -2*v. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = -0*x + 2*x, -2*f = 3*x + 1. Sort f, 2, 5 in descending order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7548 and -4?\nAnswer: -15.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 136.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 2999, 4499, 5999, 7499?\nAnswer: 8999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*i + 56. Let z = 5 - i. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -160*w**2. Let m(p) = 278*p**2 - 549*p**2 + 275*p**2. Give a(m(c)).\nAnswer: -2560*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 2324.2723?\nAnswer: -2325.2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3 = y, 9*z - 10*y + 13*y = -15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 + 2. Let i be o(-3). What is the greatest common factor of i and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000844669 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2, -4, -20 in increasing order.\nAnswer: -20, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 8, 85167, 67 in increasing order.\nAnswer: -5, 1, 8, 67, 85167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2697?\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -4702?\nAnswer: 65\/4702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:32 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25388 divided by -11\nAnswer: -2308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.8. Let i = 3 + -8. Put i, 1\/4, n in increasing order.\nAnswer: i, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, b: 1, f: 2, k: 6}. What is prob of sequence fkj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 103*l + 175. Determine s(-3).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/3*-2*7\/98?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from hiokasaho.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 22*v + 534. Let g be o(-24). Solve 21 = 5*w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 11:42 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 - -a802?\nAnswer: a839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 510\/(-306) + ((-6)\/(-9) - (-10)\/8). What is the second biggest value in 5, 6, t, -1\/4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950584 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4616401524?\nAnswer: 2, 3, 7, 1663, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1857*s - 945*s + 1950*s as u + i*s and give i.\nAnswer: 2862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + 1\/3. Let x(k) = k**3 - 2*k**2 - 2*k + 1. Let c be x(2). Let w be 23\/(207\/54) + -5. Sort w, c, t in increasing order.\nAnswer: c, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -687.7 rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(12)\/sqrt(4))**2 + (-4*(sqrt(30) + (sqrt(30) - sqrt(120))))\/sqrt(10).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.267 - -1.733. Is z not equal to -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/144)\/((-4)\/(-16)*(-2)\/74).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 120 = 2*j. Let d be (-2)\/(-6) - j\/(-18). Sort d, -4, 1 in descending order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j - 464 = -42*j. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.88992 - -14.557. Let q = -0.329 - j. What is q rounded to four dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(-3\/8)*(y*y\/(y**(-1\/3)\/y))**21*(y**(-3)\/(y*y**(2\/11)))\/(y**(1\/2))**(-1\/15) assuming y is positive.\nAnswer: y**(43561\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 2748354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 19*m**2 + 20*m - 9. Calculate k(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4807*v**4 - 120741*v**3 - 1138368*v**2 - 4770294*v - 7496207. Let g(s) = -s**4 - s**3 + 2*s - 3. Let i(h) = -10*g(h) + 2*p(h). Factor i(f).\nAnswer: -4*(7*f + 44)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.6 - 0.15?\nAnswer: -70.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 23. Suppose h*q - 2*q = -30. Let d be ((-4)\/q)\/(2\/6). Solve 3*g + d = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22739 = 285*f - 287*f, 2*f - 3*b = 22733. Is 35 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 50. Suppose -2*g - k*h - 770 + 1869 = 0, -5*h + 5 = 0. Does 74 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 5, -0.8, 13 in decreasing order.\nAnswer: 13, 5, -0.8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4960 - 4287. Suppose 3*a = -h + 6*h - j, -2*a + 7380 = 4*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67500 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a factor of 1670980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -177, -169, -149, -111, -49, 43?\n\"Answer: b**3 + b - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-56) + (-1)\/((-21)\/93)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, 31, 120, 209, 298, 387?\n\"Answer: 89*q - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = 3*r - 13, -n - 4*r + 18 = 0. Suppose n*b - 299 = 103. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 20 + 26)*(-4*t + 3*t + 0*t).\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*b + 30*b - 52*b + 5*b**4 - 3*b**3 to the form q*b**4 + c*b**2 + g*b**3 + t + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {z: 1, b: 1, v: 2, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*f = -9, -17*l - 2*f + 1021 = 1078 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 - 21 = -q, -88 = -4*q - 4*s. Let z = q - 2. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-14))\/(6\/16). What is the remainder when 45 is divided by -1 + l\/(7 + -3) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77843 and -0.8.\nAnswer: 62274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(120)*3 + sqrt(120))\/(-5*(sqrt(6) - sqrt(6)*-2) + sqrt(6)))\/(6*((1*sqrt(1210) + sqrt(1210) - sqrt(1210))*6 + sqrt(1210))*5).\nAnswer: 17*sqrt(2)\/32340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5221520?\nAnswer: 2, 5, 65269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 4, t: 1, u: 1, o: 2, s: 1, e: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 328926967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -11, 6, -4, -3, -48.\nAnswer: -48, -11, -4, -3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/6 + 3*u**2 + 4*u - 3. Let j(v) be the first derivative of f(v). Calculate j(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 104*o - 108*o + 153, -5*o = 4 + 6 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**3\/6 + 7*q**2\/2 - 6*q. Calculate z(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 330\/18)*21. Let s = -371 - d. Which is greater: s or -92?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -985.8564 * 1.7.\nAnswer: -1675.95588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000029877 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = -5*i + 43, 5*i = -5*c + 65. Solve 4*m = -x + 2*x - c, m = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(112) + -1 + -2 + sqrt(112)))**2 + (-4 + 2*sqrt(112))**2 + -5)*5 + -2.\nAnswer: -6320*sqrt(7) + 59418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-21) - (2700\/(-60))\/((-7)\/(-5))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4\/7, -4, 0.4, -2 in decreasing order.\nAnswer: 7, 4\/7, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 167*q - 2140.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 - r + 1. Let z(k) = 7*k**3 + 3*k**2 + 9*k - 3. Let d(s) = -3*l(s) - z(s). What is the second derivative of d(m) wrt m?\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30 - 0)*162\/405. Let a(o) be the first derivative of -3\/8*o**4 + 1\/8*o**6 + o**3 + 0*o + o**2 - 7\/20*o**5 - t. Let a(c) = 0. What is c?\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**5\/20 - k**4\/6 - 2*k**3\/3 - 3*k**2 + 85*k. Let h(i) = -3*i**3 + 5*i**2 + 11*i + 17. Give -11*f(q) - 4*h(q).\nAnswer: q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38245, -76503, -114759, -153013, -191265, -229515?\n\"Answer: f**2 - 38261*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - 0.8. Let c = -1.200032 - v. What is c rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*b - 49, -51 = -b - 4*n - 18. Let h(l) = -l**3 - 5*l**2 - 5*l. Let x be h(-4). What is the remainder when ((-8)\/(-12))\/(x\/216) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:11 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6)*(6 - 2 - 2)*(2 - 3 - 1)*(-3*c**5 - c**5 + 6*c**5).\nAnswer: -48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1)*(5 + -3). Let g = a + 4. Let f = 4 + -1. What is the remainder when f is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29811470.\nAnswer: 2, 5, 13, 43, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -19. Which is bigger: 1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67845 divided by -42?\nAnswer: 22615\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 10:50 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12301435.5 rounded to the nearest 10000?\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1965.2 - -1965. Is q at most as big as -19\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903926 and 1096.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**2 - 2. Let n(b) = 10*b**2 + 2. Calculate -3*h(t) - 2*n(t).\nAnswer: 7*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3 - -2)\/(-5 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12847, 50762, 113953, 202420, 316163?\n\"Answer: 12638*c**2 + c + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 822141309 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247162.\nAnswer: 2, 123581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23987\/8 + -23985\/8. Let g = 0.7 - -0.3. Let l = -1.5 - -0.5. What is the closest to l in g, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 12780*r**2 + 25484*r + 191580.\nAnswer: 4*(r - 3193)*(r - 5)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 84 - 91 = -5*w, 20 = -4*w. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1)\/((-7)\/(9 + 5)). Let q be (-6)\/8 + (w - 553\/196). What is the second biggest value in 0.3, -3\/4, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 3565*b\/2 - 10693\/3.\nAnswer: -(b - 10693)*(b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -442 - 440 + 49*t - 109*t + 845 in the form g*t + w and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 976? (a) 5 (b) -1\/55 (c) -4 (d) 6\/5 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 4*f + 29238 = -27*r, -f + 1 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.43 - 4.53. Sort o, -6, -0.5 in decreasing order.\nAnswer: o, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1093204 by -8.\nAnswer: 273301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 7bd88?\nAnswer: -7bd89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1317, -1884, -1701, -768, 915, 3348?\n\"Answer: 375*w**2 - 1692*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let y be s(-4). Let r(d) = -d**2 + 7*d - 6. Let i be r(5). Suppose 3*c + 3 = i*l, -4*l - 5 = -2*l + 5*c. Solve l*o = -y*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954836 - 45*h**2 - 954836.\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) - (sqrt(7) + (2 + sqrt(700))**2)).\nAnswer: -4224 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aada when four letters picked without replacement from {a: 7, d: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 46 - 46 = 0. Let v = h - -24. What is the lowest common multiple of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1)*(-20)\/(-50). Solve 34\/5*h**3 + 8\/5*h**4 + 8*h**2 + g*h + 0 = 0 for h.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 145*n + 164*n - 8)*(28*n**4 - 17*n**4 + 7*n**4).\nAnswer: 342*n**5 - 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 84*v**2 + 42*v - 105. Let h(d) = 17*d**2 + 8*d - 21. Let o(w) = -11*h(w) + 2*p(w). Let l(f) = -5*f**2 - f + 5. Determine 9*l(s) - 2*o(s).\nAnswer: -7*s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r**4\/19 + 53910*r**3\/19 - 146240*r**2\/19 + 3240*r + 30784\/19 = 0. Calculate r.\nAnswer: -2\/7, 1, 2, 3848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62164296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/118)\/((-784)\/3626) and 39\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + 97 - 167*b - 3*b - b + 2*b + (2 + 3 - 3)*(2*b + 2*b + 3*b) to g*b + q and give g.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 103406 (b) 1 (c) 4 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/(-4)*1*-50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*d - 65 = 0, d - 16 = 2*j - 101. Let t = 47 - j. Find the third derivative of -4*c**2 - 21*c**3 + 25*c**t + 4*c**3 wrt c.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7407561mg?\nAnswer: 0.0007407561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/69, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 + b - 209. List the prime factors of i(-20).\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f + j, -3*f + 2*j - 5 + 26 = 0. Suppose -5 = -f*d, s = -0*s + d + 8. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 7. Let v(h) = 1. Suppose 2*u + 0*u = 14. Let d = -12 + u. Determine d*v(j) - c(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -420, -715, -1222, -1995, -3088?\nAnswer: -4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 4, -1\/4, -3\/2, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = -2*y, m = 5*m - 4*y + 8. Which is the fourth biggest value? (a) m (b) 2\/3 (c) 6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80736484.\nAnswer: 2, 167, 120863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 - (78\/12 - 6)). Sort 2, -0.2, -11, r in decreasing order.\nAnswer: 2, -0.2, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257674.\nAnswer: 2, 11, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*a + 2 = 184*a. Are -28\/23 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + -23 + 13 + -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51526134703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-7*21)*-6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*d**3*s**2 + 13319*d**3*s + 2*d**2*s - 3*d*s**4 + 14*d*s**2 - s**2 wrt s?\nAnswer: 32*d**3 - 36*d*s**2 + 28*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + 1 - 4*b**2 + 2*b**3)*(0 + 0 + 3)*(2*b + 0*b + b + (-5*b - b + 4*b)*(4 + 0 - 3)).\nAnswer: 6*b**4 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-665)\/76)\/((-5)\/28).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1599 + -1832. What is the third biggest value in -5, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 30 = 5*q - 5*b, -8 = -q - b. Solve p + 2*j + 0*j + q = 0, -3*j = -5*p - 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*g - 8 = -579*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*a + 272*a - 771*a + 217*a - 6*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**6 - 110*k**4 + 29*k**3 + 3*k**2 + k + 26705 wrt k?\nAnswer: 240*k**3 - 2640*k + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - 331. Let v = 458 + j. Suppose 3*y = 5*y + 10. What is the fourth smallest value in 0.2, 2\/21, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125349 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 997\/13 less than or equal to 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/188 and (2*1)\/(5504\/(-6794))?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Suppose 0 = -3*z + 140 + b. Let k = 81 - z. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 94.5. Is o greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5566 by 834.\nAnswer: -2783\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 430?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 19)*(-8)\/(-12). Suppose 0*v - s = -2*v - l, 0 = -4*l. Suppose -v*u + 132 - 592 = 0. Round u to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91 - (-58 - 17)) + (2 - 72)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/7, 89, -25736 in descending order.\nAnswer: 89, -3\/7, -2, -25736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3977310 by 1165.\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 104*u + 15 = -103*u, -6 = 3*k - 3*u - 21 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Suppose 52 + 12 = c*h. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 2*l + 4. Let u(p) = -p**3 + p - 4. Suppose c - 10 = -2*j, 4*c + 5 = c + j. Let k be u(c). Calculate v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**8\/112 - 13*j**7\/210 - 3*j**4\/8 + j**3\/6 - 690*j**2. What is the second derivative of p(z) wrt z?\nAnswer: -60*z**3 - 156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-15))\/((-6)\/(-747)). Let f = 122 - g. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {b: 4, z: 3, j: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00933056 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13*l**2 + 3*l**2 + 12*l**2 - 135*l.\nAnswer: 2*l**2 - 135*l + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o - o**3 + 2*o**3 - 321*o + 0*o**3.\nAnswer: o**3 - 345*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Let d(j) = -7*j. Let c = -4 + -1. Let z be d(c). What is the highest common divisor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 72. Let k be (-7)\/(21\/(-12))*(-46)\/8. Let x be u(k). Is 40 a factor of (-6)\/39 - 7024\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q**2 + 1. Calculate the remainder when 138 is divided by l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-90))\/((-14)\/(-21))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17659 - -17597. Which is the third smallest value? (a) -3 (b) 0 (c) l (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35180 divided by -4.\nAnswer: -8795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 5*x. Let l(b) = -6*b**2 + 9*b - 1. Calculate -4*l(a) + 7*m(a).\nAnswer: 3*a**2 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**2 + 9*x**2 + 4 - 2*x**2 - 4*x. Suppose 4*o - 13 = 91. Let f be (-3 + o\/6)*3. What is h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 8*j + 6. Let q be (-1)\/(-2*2\/28). Give t(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 3, l: 2, o: 6, r: 5}. Give prob of picking 1 w and 1 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*y - 16, 0 = -y - 3*y - 2*n + 24. Let i = 1 + y. Suppose -4*k - 4 = -4*b, -i*b + 2*b = 0. Which is smaller: k or -2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7543696 is divided by 276.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1629 = 2*t, -2715 = 6*z - z + t. Let c = 51 + z. Is 21 a factor of (-4)\/6 - c\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 669780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.57 rounded to 1 decimal place?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*(133\/(-14934)*-42 - (-2)\/(-4)) and -73\/100?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 1105?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 2*g**3 + 55*g**2 + 95*g**2 + g + 80*g**2 - 2*g as w*g**3 + z*g + t + c*g**2 and give c.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.007665 millilitres to litres.\nAnswer: 0.009007665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00847507 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4, 1.246?\nAnswer: 1.246","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - 9*o - 28*o - o to j + y*o and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 2 - 1 + 0 - 1.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b96 - -b916?\nAnswer: d4ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from xdxkbwj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 480*w - 5878. What is m(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5, 124 - 5 = -3*d + 5*t. Let z = d - -67. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7560.67 millilitres to litres.\nAnswer: 7.56067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6007499, -6007460, -6007421, -6007382?\n\"Answer: 39*b - 6007538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523331?\nAnswer: 709, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7625)\/300 + (-2)\/8. Does j = -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 911, 2479, 4699, 7571, 11095, 15271?\nAnswer: 20099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 2, s: 1, p: 2}. Give prob of picking 1 s and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 8. Let c(v) = -7*v + 42. Let j be c(6). Determine g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/2 + 19311*k**2 - 62055786*k - 622490460 = 0. What is k?\nAnswer: -10, 6442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5, 0.04, -0.3.\nAnswer: -0.3, 0.04, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Suppose 14 = -4*u - 2*m, -5*m + 3 - 2 = -2*u. Let t = -1 - u. Calculate the greatest common divisor of t and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**26)**4*j**(-22)\/j**(9\/5) assuming j is positive.\nAnswer: j**(401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose -n = -b + 2*j, 2*j = 2*b - 9 + 3. Suppose -2*u + 15 = b*c + 5, 4*c = -5*u + 18. Solve -2*a + 3*a - u = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-29522)\/(1 - 2))\/(9\/(189\/42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5\/6 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 14 = -5*o + 4, -3*z = -o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49, 58, 71, 88, 109, 134, 163?\n\"Answer: 2*y**2 + 3*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 832785060 and 6.\nAnswer: 832785060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71878, 143904, 215930, 287956?\nAnswer: 359982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.073.\nAnswer: -0.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3 - q**2 - 370680*q - 10916008.\nAnswer: -3*q**2 - 2*q - 370680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/21)\/(1\/(-9)). Let m be (-9)\/(-3) + (-1 - y). Let i be 1\/(-3 + 7\/2). Put m, i, 0 in increasing order.\nAnswer: 0, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (4*sqrt(208) + -2) - (-4 + 2 + sqrt(208) - sqrt(208)))*-1)**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 4*j + 5*z, -7*z + 11*z + 400 = 4*j. Let a be (6\/9)\/(4\/6). What is the remainder when j is divided by a + -2 + 13*2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 582310*h. Let w(d) = -6*d**2. Give n(w(q)).\nAnswer: -3493860*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)\/sqrt(4)*3)\/(sqrt(729) + (2*sqrt(729)*4 - sqrt(729)) - sqrt(729) - sqrt(729)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*k + 36, -m - 79 = -5*k - 87 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l**2)*(2*l**3 - 2*l**3 + l**3) + 24*l**5 - 131*l**2 + 131*l**2 + (4*l**5 + 4*l**5 - 6*l**5)*(-1 - 3 + 6).\nAnswer: 26*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1078528 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3985995081 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11384*d**2 - 22721*d**2 + 11300*d**2 - 2.\nAnswer: -37*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1128 - 1131. Put 2, 18\/5, 0.5, u in ascending order.\nAnswer: u, 0.5, 2, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = 0. Let z(f) = f**2 - 8*f + 1. Let j be z(8). Let v be 0\/(-2*(0 + j)). Solve h = -5*q - v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjaevjajjv. What is prob of picking 1 e and 1 v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 3. Let c(o) be the second derivative of o**3\/6 - 1373*o. Determine -4*c(q) - t(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 6*o - 7*o)*(0 + 0 - o**3) + (o**2 - 6*o**2 + 3*o**2)*(o**2 + 1 - 1) + 4*o**3 - 2*o**4 - 4*o**3.\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 19)*(1 + c - 1) to z + f*c and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749807 greater than or equal to 5749811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/2 - 2*m**2 + m. Let r be l(-6). Let o = -7 + r. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28723 - 28719. Let y(j) = 16*j - 55. Give y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 1717\/(-119))*(-14)\/(-4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 22 = -7*h. Suppose -h*o = -4*o + 12. What is the remainder when o is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(0 + 0 - 5*w) + 29*w - 89 + 18*w - 44*w.\nAnswer: 13*w - 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/4 + 4*j**3\/3 - 5*j**2\/2 + 2*j + 13. What is b in s(b) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 29938914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 2*o**4 - 452*o**3 + 842*o**2 + 3043*o + 1748 = 0.\nAnswer: -23, -1, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - v = 6, 0 = -3*h + 5*v + 23. Suppose -2*p + 9 = 1. Is h less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + 14*t**2 - 69*t - 371. What is j(-5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**1\/y)\/y*y)**(-27)*(y**0)**10)**30 assuming y is positive.\nAnswer: y**(-810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 7*d - 3. Let r be i(-6). Let q(v) be the first derivative of -v**4\/4 + v**3\/3 + 3*v**2\/2 + 4*v + 135. What is q(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:42 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 + 7*v + 14. Determine g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/2)*m)**(-3\/11)\/(m**(-1\/3)*m\/m**(-1)*m))**(-8) assuming m is positive.\nAnswer: m**(884\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2\/3)*i*i*i))**(-3\/40)\/(i**(-1\/4)*i*i**5))**(5\/9) assuming i is positive.\nAnswer: i**(-223\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 5*c - 5. Let s(z) = -2*z**2 - 3*z + 3. Suppose -5*w = -25, 0*t - 2*t = -5*w + 35. What is t*s(b) - 3*n(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*k - 21 = 210*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*k**2 - 78*k + 78*k)*(-k - 2*k + 4*k) to g*k**3 + f*k**2 + z*k + b and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0*i)**10*(i\/(i*i**(2\/13)*i))\/(i**(-6)*i))\/((i**(2\/9)*i*i*i**5\/i*i)\/(i\/i**1*i)**31) assuming i is positive.\nAnswer: i**(5572\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1132 + -774. Calculate the smallest common multiple of u and 8.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 5, 0 in descending order.\nAnswer: 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4 - r - r**2 + 7 + 15 - 5*r**3 + 4*r**3. Let m be y(0). Solve -5*l - m - 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 - 5*l**2 + 5*l. Let i(s) = 2*s + 6. Let a be i(-3). Let z(r) = a*r**2 + 3*r**2 + r**2 - 3*r**3 - 4*r. Give -4*k(x) - 5*z(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -143?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1)*(-2)\/3. Let m(g) = -8*g + 15. Let s(a) = -17*a + 29. Let i(q) = 9*m(q) - 4*s(q). Let z be i(6). Put 3, r, z in descending order.\nAnswer: 3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 1:47 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 300614 (base 13) to base 12\nAnswer: 459252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 2}. What is prob of picking 1 h and 1 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**9\/75600 - s**8\/16800 + s**6\/1800 + s**5\/600 + s**4\/4 + 3*s. Let m(i) be the third derivative of o(i). Factor m(d).\nAnswer: -(d - 1)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524303337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by ((-6)\/15)\/(1\/(-45)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9*w - w = 0. Which is the nearest to w? (a) -5 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 2. Let w(m) = 29*m - 51. Let x(z) = -3*i(z) - w(z). What is the tens digit of x(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71905*u**6 + u**5 - 4*u**4 - 9*u**2 + 47093*u?\nAnswer: -8628600*u**3 + 60*u**2 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/28 - 3) + 46\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 10. Let m = -59\/14 + 9\/2. What is the closest to m in d, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let z(o) = -219*o**2 - 21*o + 162. Let k(l) = -55*l**2 - 5*l + 36. Let m(a) = 9*k(a) - 2*z(a). Determine m(i(s)).\nAnswer: -228*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 - 1023*c**4 + 3866*c**3 + 216146*c**2 - 2202795*c + 5941789 = 0.\nAnswer: -17, 7, 1019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)**(-1\/11)*(u**9*u)\/((u*u**9\/u*u)\/u))**(-1\/6) assuming u is positive.\nAnswer: u**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246042433 a multiple of 5327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/(-5)*(-10)\/2 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 6. Let w be (-128)\/(-20) + (-77)\/11. Which is the nearest to -2\/9? (a) -1\/4 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 15*o - 1. Let h(q) = -q**2 - 8*q + 1. Let k(g) = 13*h(g) + 6*i(g). Let w be k(-19). Does 8 divide 332\/11 - (-16)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4\/11, 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxxmmxmx. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179398809*q**2 + 115368019*q wrt q.\nAnswer: 358797618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -87, -129, -173, -219, -267?\n\"Answer: -d**2 - 37*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35\/(-10))\/7)\/(2\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 5*q - 10, 2*x + 3*q + 6 = 0. Suppose x = 7*n - 2*n - p - 14, -3*n = p - 2. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(4\/3))\/(i*i**(4\/3))*(i\/(i\/(i*i**0\/i)))**(2\/17)*((i**(2\/11)\/i)\/i**(1\/5))**(-27) assuming i is positive.\nAnswer: i**(4096\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480404981?\nAnswer: 7, 29, 2366527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5263843 less than -5263842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -726*b - 339*b - 699*b - 42336 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -140593?\nAnswer: -140588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -b155 (base 14) in base 6?\nAnswer: -352555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 31*p**3 + 9*p**2 + 2*p - 73. Let r(v) = 14*v**3 + 4*v**2 + v - 37. Let w(h) = -4*b(h) + 9*r(h). What is the units digit of w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/5)\/u)*(u*u**(-3))\/u*u**(1\/15)*u**(-3\/7))**(2\/33))**14 assuming u is positive.\nAnswer: u**(-148\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 356943 and 31?\nAnswer: 11065233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50111\/6 or -8352?\nAnswer: -50111\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/1)\/(1\/1). Suppose -2*s = 3*q + 17, 4*s - 16 = 3*q - 5. Let b = m - s. Solve j - 3 - 2 = b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45588?\nAnswer: 2, 3, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f - 3. Let y be h(-6). Calculate the remainder when 22 is divided by (y - -4)*8\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 15, 0 = 3*j - 0*j - 3*a - 3. Let s = 4 + -4. Let g be (148\/1665)\/(20\/(-50)). Sort s, j, g, 0.1 in increasing order.\nAnswer: g, s, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/(-185) - (11\/(-10))\/(4191\/(-3048))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110011101100110110 + 101?\nAnswer: 1000110011101100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3581*b - 42981. Calculate d(-11).\nAnswer: -3590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -19*i + 10. Let g(x) = -11*x + 6. Let y(h) = -5*g(h) + 3*q(h). Let l(s) = -1121*s. Give y(l(m)).\nAnswer: 2242*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-32)*3*(-1674)\/(-405).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 724, 5978, 20338, 48388, 94712, 163894, 260518?\n\"Answer: 764*p**3 - 31*p**2 - p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Find y such that 11*y**j + 3 + 0*y**2 - 3*y**3 - 15*y + y**2 + 3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -69.3. Let i = -28.7 + 31. Let s = p + i. Which is the nearest to s? (a) -5 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106109257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose -g*u - 3 = -11. Suppose -2*y + 8 = 5*j, j = -u*y + 4*j + 42. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -154*w - 447. Determine b(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 6. Let o = 11 + f. Suppose -81 = -4*i - 33. Solve -i = -o*l - l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = x + 125 + 92, 0 = -3*j - 2*x + 214. Let a = j - -27. What is the second derivative of 4*k - 68*k**3 - k + a*k**3 wrt k?\nAnswer: 186*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12582.81 milligrams?\nAnswer: 0.01258281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 120 = -9*g. Let x be 113 + 1\/((-1)\/3). What is the highest common divisor of x and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5639 + -3691. Find the second derivative of 0 + 0 - 1936*g + l*g - 8*g**4 wrt g.\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.02 - -0.92. Let o = 0.0413 - 5.0413. What is the nearest to 1 in o, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1078*a**3*s**2 - 2*a**3 + 2*a - 179*s**2 wrt a.\nAnswer: -6468*a*s**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 - 143. Let y = 57 - p. Let k be ((-4)\/8)\/(y\/30). Solve -3*t - 5*o - 11 = -0*t, 17 = -t - k*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 2937?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 62*x**2 - 115*x + 105. What is the units digit of j(66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 3*g**2 + 4*g + 3. Let q be z(4). Let y be 1\/(0 + 4\/16). Suppose -5 + 17 = y*j. Is j at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*j + 30 = 0, 25*d - 5*j = 26*d + 18. Let u(s) = 72 + 18*s - 62 + 0*s**2 + s**d. What is u(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 - 175 = 2*t, -t - 95 = -y. What is the remainder when y is divided by ((-315)\/(-10))\/((-3)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-72)*6)\/((-3)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfzllzzfzflffzzlf. What is prob of picking 2 l?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49\/16 - -7\/16. Suppose 271*f - 10 = 101*f + 165*f. Factor -3\/4*a**2 + z*a - f.\nAnswer: -(a - 4)*(3*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l - 4*y, y = l + 5*y. Let h = l - 6. Suppose 2*i + b = 54, b = h*i - 2*i - 102. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 27 = 3*w, 10874*w - 33 = 10873*w + 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 1. Let z be s(-1). Let j(a) = a**3 - 12*a**2 + 10*a + 14. Let f = 9 + 2. Let m be j(f). Sort -1\/6, z, m in descending order.\nAnswer: m, -1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/5 - 2*h**4 - 24*h**3\/5 + 88*h**2\/5 + 32*h = 0.\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 201786606 to the nearest 10000.\nAnswer: 201790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -7238.\nAnswer: -7238.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -5, -3 in descending order.\nAnswer: -2, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019851 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*z + 27, 4*a = -4*z - z + 31. Solve 2*w + 8 = a*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5 - 0, -5*z + t + 5 = 0. Suppose 4*g - 172 = -4*l - g, -3*l + 4*g + 98 = z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487, -978, -1643, -2488, -3519?\nAnswer: -4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11110?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-145)*2\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.69 - -0.31. Let a = s - 20. Let w be (192\/34)\/(-3) - -2. What is the second biggest value in w, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 150413, -139.\nAnswer: -139, -0.12, 150413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -262. Suppose -k = 1883*a - 1885*a. Calculate the remainder when 66 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -36. Suppose -w - 5 = 0, 2*l - t*w = -0*l + 92. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3860447406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -37, 355 in increasing order.\nAnswer: -37, -1, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544864427.\nAnswer: 3, 57217201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45927897 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 36*d - 7424 = -530*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - q + 3 - 4*q. Let z = -492 + 494. Let l(v) = v - z*v + 14 - 2*v - v - 1. What is 26*b(f) - 6*l(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -145, -314, -617, -1102, -1817?\n\"Answer: -8*x**3 + 5*x**2 - 42*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 + 8 - (1 + -1)) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/7 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7180*i - 2301*i - 9240 = 2399*i + 2370*i for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192340117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d + 84 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, -1573, -2396, -3203, -3988, -4745, -5468?\nAnswer: -6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 + 168*o**3 + 23638*o**2\/3 - 85008*o = 0. Calculate o.\nAnswer: -184, -77, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46362089 to the power of 1\/2, to the nearest integer?\nAnswer: 6809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1547740 and 61828140.\nAnswer: 1174734660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141050 - 20?\nAnswer: 141030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*t**2 + 263*t**2 + 199*t**2 + 260*t**2 + 100*t**2 to q*t + r + v*t**2 and give v.\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npk when three letters picked without replacement from npnkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose -o*a + 8*a = 295. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15609541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6\/11, -3\/7, 1.86, -0.17 in increasing order.\nAnswer: -6\/11, -3\/7, -0.17, 0, 1.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w - 2. Let d be u(-2). Suppose 2 = -4*t + d. What is the highest common factor of t and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 19. Does 8 divide 2\/((-6)\/s) + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 178 = 3*q, q - 4*q = -2*l - 182. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29752\/3 + 152171\/15. Let m = -227 + k. Factor -2*j + 6\/5*j**2 - 2\/5*j**4 + 4\/5 + m*j**3.\nAnswer: -2*(j - 1)**3*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 24*a + 8 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -9, -3\/5, -4\/13, -0.3, 1\/10, 27?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - k**2 + k - 6. Let a be i(-3). Let y be (-7)\/((-49)\/a) - 5. Solve -y = -12*w + 16*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -700\/51 - -495\/34. Is -379 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 divided by 30?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o - 10*o + 4*o - 7*o**2 + 5. Let q = 6 + -13. Let x(t) = 10*t**2 - 7*t - 7. Give q*y(z) - 5*x(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21858 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/176500 and 43\/6270.\nAnswer: 110665500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 218, 327, 436, 545?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*w + 42 = 113*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201221021 (base 3) to base 6.\nAnswer: -1555441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m - 1. Let d(f) = 121*f + 4. Let h(z) = -d(z) - 5*i(z). Let g(l) = -11*l**2. Calculate g(h(q)).\nAnswer: -47916*q**2 + 1452*q - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*h - 5268, h + 6*z - 10*z = 1336. What is the highest common divisor of 297 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -417*n**3*s - n**3 + 2*n**2*s + 1393*n**2 + 2*n*s wrt n?\nAnswer: -2502*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*h**4*z + 28262*h**3 + 581784*z wrt h?\nAnswer: -28*h**3*z + 84786*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6. Suppose o*u = u. Suppose -3*d + 7*d = 2*p + 30, -2*p + 2 = u. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 214 - 126. Suppose -4*d + 3*y = -1824, 10*y - u*y - 455 = -d. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*i - 33 = -7*m, -5*m = -2*i. Suppose 1 = -m*o + 9. What is the nearest to -0.2 in 1\/11, o, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 41*j**2 + 86*j + 3. Let d be k(-43). Let i(v) = 2*v + v**2 + v + d - 1 + 4 - 2. What is i(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 6*f**2 + 2*f - 12. Let s be b(-8). Suppose -s = -14*m - 30. Solve -7*x + 4 = -3*x + m*d, -2*x = -3*d - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + 13. Let v = y - 402. Let h = 237.9999817 + v. Round h to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t + 3. Suppose 16 = 5*y + 1. Suppose -5*w + 0*k - k = -21, 0 = -y*w - 2*k + 14. Suppose w*s + 32 - 24 = 0. What is r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*x + 5 = 3*x, 4*i + 2*x = -6. Suppose 4*w = 3*m - i, -w - 29 = 7*m - 2*m. Which is the closest to 2? (a) 2\/5 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 8*m**2 + 5*m - 5. Let l = 141 - 99. What is the remainder when l is divided by d(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -315, 0, 1524.\nAnswer: -315, 0, 3, 1524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2 + -3)*-2)\/((-24)\/(-84)). Suppose 0 = t + g*p - 12*p + 18, -3*p + 16 = 2*t. Solve t*n + 1 = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-7))\/(429\/(1468467\/(-326))).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -139*y**3 - 2*y**2 + 3*y - 7. Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -78752*m + 787527. What is z(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 724?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + 4441220010?\nAnswer: 4441220041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**5 + 1068*u**4 - 73479*u**3 - 12465888*u**2 + 792320976*u + 804712320 = 0.\nAnswer: -387, -120, -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1191084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 12 + 2 = 2*a, 0 = 4*a - 4*p - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1811142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112914 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 3*k)*(7 - 7 + 7*k**3) + 3*k**2 + k**4 - 3*k**2 - 2*k**4 + k**4 - 2*k**3 + 0*k**4.\nAnswer: 14*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 225. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19540, 38954, 58370, 77788?\nAnswer: 97208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 t when three letters picked without replacement from pgrtkkppdpkktptkk.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 0, 4*x - 2*q = -3*q + 32. What is the remainder when 718 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.046 (c) 6\/1313 (d) -0.1 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 + 1715*h**4 + 718855*h**3 - 14088075*h**2 + 83856240*h - 144324288 = 0.\nAnswer: -867, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 25. Solve -4*a - 3*m - 4 = -3*a, 0 = 2*a + 5*m + u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.93635818 rounded to 3 decimal places?\nAnswer: 1.936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49979 is divided by 117.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*g - 4*f, 3*f - 4 + 22 = 0. Solve g = -28*n - 133 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 150. Suppose 4*r - 10 = u. Solve y**r + 1\/2*y**2 - 1\/2*y + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/24 - (-1 - 2). Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {p: 7, h: 7, e: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78507562?\nAnswer: 2, 7, 31, 37, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**6\/120 + v**3\/2 + v**2 + 8. Let a(f) be the second derivative of q(f). Let c(z) = 4*z**3 + 13. Give 26*a(b) - 6*c(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 61268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/120 + x**5\/20 - 5*x**3\/3 - 4*x + 27. Let k(r) be the third derivative of j(r). Factor k(b).\nAnswer: 3*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2. Let h(x) = 28*x. Determine j(h(g)).\nAnswer: 2352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**2\/2 + 2. Let x(h) = h - 2. Let t be x(4). Let d(z) = 2*z**2 - 3*z**2 + 9*z**t. Calculate d(a(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v = -1 - 37 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 116, 593, 1208, 1961, 2852, 3881, 5048?\n\"Answer: 69*c**2 + 270*c - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44753288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**4\/4 + 75531*d**3\/2 + 1901643987*d**2\/4 = 0.\nAnswer: -25177, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -727 - -1226. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 416 and 7051\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 14) + (-6 + 5 - 19) + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00154639 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:54 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*p - 30 = 0, 3*b - b = 4*p + 20. Suppose -4*q = -22 + 2. Let k(m) = -4*m + m**2 - q + 1 + 2 + 3. Calculate k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3199.6 and -0.02.\nAnswer: 3199.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 22. Which is the smallest value? (a) 0 (b) -0.5 (c) -0.1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238 + 595. Suppose p*h - 355*h = 4258. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10699002, 10698988, 10698966, 10698936?\n\"Answer: -4*k**2 - 2*k + 10699008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*o + 2. Let d be o\/(-2*(-1)\/(-854)). Suppose 0 = 5*c - 28 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c = -12*c + 32*c - 4*c + 3740 for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/10 + -1 + 2. Sort -1\/2, r, -3\/5, -3.\nAnswer: -3, -3\/5, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12356764 is divided by 12356718.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((27 - (-36 - 9)) + -34)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:59 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*z + 12*z - 1 - 40*z + 94*z.\nAnswer: 405*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1281 + 1281.059795. What is s rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 62192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985872?\nAnswer: 2, 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4209002177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - 4.82. Put z, 2, -1\/6 in decreasing order.\nAnswer: 2, -1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, 173\/8, -4 in descending order.\nAnswer: 173\/8, -3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-130)\/(-30))\/(40\/12 - 3). Suppose -43 - y = -2*d. Solve -33*o + d*o - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a meter in millimeters?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 1, p: 4, r: 1, w: 3, g: 5}. What is prob of sequence bbwp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 8*o**2 - 11*o - 19. Let u be n(-7). Let w(c) = -14*c + 18*c - u*c - 5*c. Let h(q) = 2*q. Calculate w(h(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**2 - 9*j + 0*j**3 + 0*j**4 + 2\/5*j**5 + 27. Find the first derivative of t(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Suppose -8 + 15 = 7*d. What is b(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 3205. Let h(p) = 1658*p**2. Give x(h(g)).\nAnswer: 1658*g**2 + 3205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3)*-2)\/(73410\/1080 - 68).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o, -2*o + o - 62 = -5*q. Let a(n) = -20*n + 2648. Calculate the remainder when a(124) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 + -626427601872.\nAnswer: -626427601875.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1411*h**3 + 167*h**3 + 5043*h**3 + 13606*h**3.\nAnswer: 17405*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*h - 783*h + 2380 = -1450*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let l(p) = 3441 + 43*p - 6882 + 3445. Calculate l(f(w)).\nAnswer: -43*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/120 - o**4\/12 - 11*o**3\/2 + o - 4. Let c(k) be the second derivative of d(k). What is c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 0 + 0 + (-2*j + 2*j + 2*j)*(-j - 4*j + 3*j) - 2*j**2 - 3*j**2 + 3*j**2 + 2*j**2 - 2 + 2 - 1 + 1 + 2*j**2 - 12*j**2 - 724641 - 291*j + 724641.\nAnswer: -16*j**2 - 291*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t**3 + 39*t**2 - 14*t + 4. Let g(q) = -100*q**3 + 350*q**2 - 125*q + 35. Let x(z) = 4*g(z) - 35*s(z). What is y in x(y) = 0?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1880 + 28568?\nAnswer: 268a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -386, 3, 2, 11, 4, 5 in increasing order.\nAnswer: -386, 2, 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5778 + -17089\/3. Let w be ((-6310)\/(-39))\/(-2) - 1. Let v = w + f. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6 - 4. Suppose 3*b = -b + 12. Find the third derivative of -s**3 + 0*s**b - 2*s**o - s**3 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940)*-1)\/((-2*sqrt(300) - sqrt(300)) + sqrt(12)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13318097341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140583 + 1178226127\/8381. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*r - 42 = 0, 4*r + 6 = 4*v - 2. Let q(u) = -u**3 + 0*u - 1 - 3*u + 2*u. Let k(p) = 5*p**3 + 4*p - 1. Determine v*q(h) - k(h).\nAnswer: -h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - t. Let b(w) = 6*w**4 - 8*w**3 + 8*w. Let a(c) = b(c) + 8*j(c). What is the third derivative of a(p) wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41483533 = 72*l - 59*l. Let w = l - -3178959. What is w rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**2 + 38*v + 17. Let p be f(-9). Solve -b - 1 = -p*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/35 + 1100\/7?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-31)*m)**(-18)\/(m**(-22)\/(m**(-2\/105)\/m)) assuming m is positive.\nAnswer: m**(57013\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 17*x + 16*x)*(x**3 - 2*x**3 + 4*x**3) in the form v*x + g*x**4 + w + o*x**2 + k*x**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g**2)*(4*g - g + 0*g)*(-1 + 36*g**2 - 75*g**2 + 36*g**2).\nAnswer: -18*g**5 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cttccc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -45*n**2 - 8*n - 3. What is d(-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**2 - 85*j - 55. What is z(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17175407, -17175402, -17175397?\n\"Answer: 5*w - 17175412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 2, h: 5}. Give prob of sequence hfhf.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 - 2*p**2 + 2*p - 1. Let w be g(1). Suppose -5*a + 45 = 4*d, -a + 3*d - w = -0*a. Solve 0 = -a*k - 4 - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 15 + 338*h + 15 - 48 as f*h + b and give f.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139050041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033091 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 7*a**3 - 6*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*((2 + z - 2)*(2 + 3 - 3) - 4*z + 5*z - 5*z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/732 and 77\/278?\nAnswer: 101748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 832 and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + k)*(9 + 0 + 5).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -411977, -412049, -412169, -412337, -412553, -412817, -413129?\n\"Answer: -24*j**2 - 411953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:14 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:43 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -1, 0.5, -197\/3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 606, -15 in decreasing order.\nAnswer: 606, 11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - 5*t. Suppose -4*h - 2*c + 40 = 0, 3*c - t*c = h - 12. Suppose q - h = -3*q. Solve q*f - 4 = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -38. Which is the second smallest value? (a) -1 (b) -3 (c) 0.5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3529 = 29*j - 3587 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*z**2 - 675\/4 - 45\/2*z.\nAnswer: -3*(z + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -3 + 0*d**2 + 6 - d**2 - 9*d - 3*d**2. Differentiate y(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7414\/33*(-3)\/(-2). Suppose -a + 2*q = 106 - h, 935 = 4*a + 3*q. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24590.05 litres?\nAnswer: 24590050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92928 divided by 88?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - (-19)\/7. Let h = 45.94 - 45.74. Sort -0.06, x, h in descending order.\nAnswer: x, h, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 1817?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -31. Suppose 0 = -7*t + 20 + b. Suppose -u - 12 = -5*h, -2*h - 2*h = -t*u + 8. Solve f = -f - u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 36\/5*o**3 - 3\/5*o**5 - 9\/5*o + 6*o**2 + 18\/5*o**4 = 0 for o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 at most 14369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) -4 (c) 2 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 19*i**4\/12 - 21*i**2\/2 - 13*i. What is the first derivative of n(j) wrt j?\nAnswer: 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - 1.3. Let r = z + -4.2. What is the closest to -0.1 in r, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*l**3 + 27*l**3 - 421*l**3 - 439*l**3 - 165*l**3 + 171*l**3.\nAnswer: -989*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.300016142 + 78.3. Round o to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 20. Let u = 25 - s. Let t = -9.0034 + u. What is t rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o\/(o**(-3\/4)*o)*o)\/o)*o*o\/(o**(-4)\/o)*o\/(o\/o**(2\/13))*o\/((((o\/o**14)\/o)\/o)\/o*o*o)*o assuming o is positive.\nAnswer: o**(1217\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 12890*w**3 - 13751*w**3 + 27228*w**3 as g + u*w**2 + t*w**3 + p*w and give t.\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 357*d**2 + 1275*d + 167. Determine z(-182).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -221.\nAnswer: -25\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1682, 5407, 11614, 20303?\n\"Answer: 1241*n**2 + 2*n + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 188 = -220 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(12\/50)*(-26)\/(-26).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12*(-1056)\/1408.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(6 - 2)*2\/3. Let k(o) be the second derivative of 1\/80*o**5 - 1\/48*o**4 + 0*o**t + 0*o**3 + 0 - 2*o. Factor k(j).\nAnswer: j**2*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3274.403 meters to centimeters.\nAnswer: 327440.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 2. Let n be l(1). Solve -b - 5*d - 20 = 0, 3 = n*b - 4*d - 13 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/532 and (-567)\/28 - (-1 - 1).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {f: 5, a: 3, q: 4}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -608, -873, -1082, -1235, -1332?\n\"Answer: 28*v**2 - 349*v - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -56. Suppose 9*a = a. Put -4, v, 3, a in increasing order.\nAnswer: -4, v, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 10. Let v(g) be the second derivative of 13*g**3\/6 + 18*g - 11. Determine v(k(j)).\nAnswer: 65*j - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 158489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7845.48 * -0.3\nAnswer: -2353.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v**2 + v - 1. Let x(d) = -9*d**3 + 8*d**2 - 3*d + 5. Let s(u) = -6*a(u) - x(u). Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose x = -n - n + 26. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 95 = 0. Suppose -w + h = 5*x - 4*x, 2*x - 37 = -3*w. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -177715, 0.2, -6, 0.4 in ascending order.\nAnswer: -177715, -6, 0.2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15286463*f**3 - 2477146*f**2?\nAnswer: -91718778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 18 = -5*w, 0 = 2*w - 3*q - 295 + 281 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 20 = -30. Let p(r) = -r**3 + 8*r**2 - 6*r - 3. Let d be p(7). Calculate the highest common divisor of z and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*u - 22 - 11*u + 22 to y*u + t and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2628 + 420 = -4*z. Let f = 544 + z. Let h = 251 - f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 7. Let t(y) = 2*y**2 + y + 9. Let b be t(4). Suppose -43*v - 18 = -b*v. Suppose -v*d + 4*d = 15. Determine f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-12)\/(-8)) + (-95)\/48. Let j(w) be the second derivative of 1\/80*w**5 + 0*w**2 - 1\/24*w**3 + h*w**4 + 0 - 1\/120*w**6 - 3*w. Factor j(m).\nAnswer: -m*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*b - 6 = 0, 0*t - 2*b + 6 = 4*t. Let l(r) = r**2 - r + 472746. Let v be l(t). Let y = -1452746 + v. Round y to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 7 + 0*p**2 - 2*p**2.\nAnswer: -2*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-25233)\/(-3) - 3). Suppose y - 1378525 = -l. Let w = l + -910115. What is w rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let y = -12756 + 12696. Let a(v) = 18*v - 12. What is y*j(o) + 5*a(o)?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:06 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 424 - 340. What is the highest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -107304834 in descending order.\nAnswer: -1, -5, -107304834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2448) + 2 + sqrt(2448) + -1 - (sqrt(2448) + 0)*-1))**2.\nAnswer: 288*sqrt(17) + 22048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/(-165))\/(((-54)\/30)\/(-9)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -130 - 545. Let w = -134 + u. Calculate the least common multiple of w and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3158*-73\nAnswer: -230534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-117)*95204\/194. Let w = h + -1\/2522. What is the common denominator of -73\/42 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/2006 + -41153\/60180. What is the common denominator of u and -107\/66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-81)*(-9492)\/(-1582).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10078247 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 240292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2\/149, 2, 50018, -4\/7 in ascending order.\nAnswer: -4\/7, -2\/149, 0, 2, 3, 50018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 18*h + 56. What is k(2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 1310464.\nAnswer: 9173248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112000.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (12 + -9 + 3 + 1 + -20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + -1) - (30 + -28). Solve 0 = -z*d + 4*d + 2*m - 6, 3*d = 4*m - 26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, h: 2, v: 1, y: 2, n: 1, l: 2}. Give prob of picking 1 v, 1 n, and 1 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18564*s**6 + s**2 + 468 wrt s?\nAnswer: 2227680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.69 - -0.31. Let l = u + -9. Let c = l - 6. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -875 + 1330. Let x = p - 454.9641. Round x to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 126*g - 255*g + 85*g to the form a + y*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**2 + 402*n - 804*n - 25*n**3 + 400*n in the form p + l*n**2 + o*n**3 + h*n and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54289*y**3\/4 - 33455651005*y**2\/4 - 287172967*y\/4 - 616251\/4.\nAnswer: -(y + 616251)*(233*y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -370 (b) 1\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*t + 3*t - 6, 0 = -5*t + 10. Suppose 4*d - 3*d + 2*u = 77, 3*d - 201 = m*u. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-14)\/(-56)*1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 + 85. Let q = 111 + s. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3839106 and 0.01.\nAnswer: 0.003839106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*c = 157 - 209, 3*c + 1 = o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 25*g - 97. Let j be s(-20). Let f = 0.1 - -0.3. Which is the nearest to -0.1? (a) j (b) 5 (c) 4\/7 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-165)*5)\/((104\/(-13))\/(-384))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 718792 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 448837891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**3 + 301*r**2 + 47*r - 2327. Give g(30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t + 17*t - 314*t**3 + t**2 - 396*t**3 - 2*t**2 - 40*t in the form s + r*t**2 + p*t + n*t**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o + 1. Let c be j(1). What is the common denominator of (-252)\/(-40) + 12\/(-2) and (25\/(-4))\/(c - 6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*g + 114 + 142 = 0. Which is the biggest value? (a) 0 (b) -1 (c) -3\/4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-1 + 1 + 1) + 3 - 3 + 1)*(19 - 185*x - 10 - 7)*((1 - 3 + 4)*(0 - 3 + 5) + 2 + 6 - 5).\nAnswer: 1295*x - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 54*j - 340. What is g(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 + 4*i + 6. Let d be f(-2). Let s be ((-4)\/d + (-294)\/(-135))*-42. Let o = -73 - s. Sort o, -0.5, 15 in decreasing order.\nAnswer: 15, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - t + t)*(95 + 42 - 36).\nAnswer: -101*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.21 * -0.05.\nAnswer: 1.4605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j**2 - 91*j - 170. What is z(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*-4)\/((-6)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26694486, 26694470, 26694454, 26694438?\n\"Answer: -16*m + 26694502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - 95.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 327b + -42d?\nAnswer: 2d4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d**3 + 2*d**2 - 12*d + 27. Determine r(3).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7223, -28883, -64953, -115409, -180227, -259383?\nAnswer: -352853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10314 (base 5) in base 8?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24699 + -19604. Which is bigger: k or 5099?\nAnswer: 5099","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121698*a**2 + 365120*a**2 - 121718*a**2 - 121712*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 6 + 3)*(4*d + d - 4*d) + (3 - 3 - 3*d)*(-1 + 5 - 3))*(35 + 5 + 20).\nAnswer: -420*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42.1, 0.4, 5, 0.5 in descending order.\nAnswer: 42.1, 5, 4, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 0, 3 in ascending order.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u + 53. What is the remainder when c(4) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -40*v**2 + v - 2. Let p(w) = w - 1. Let r be p(3). Let u be l(r). List the prime factors of 12\/((-2)\/(u\/12)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i**4 - 63297*i**3 - 6463414*i**2 wrt i?\nAnswer: 312*i - 379782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 2. Let o(p) = p**3 - p**2 - 16*p - 11. Suppose -2*y + 2*t + 7 + 25 = 0, 3*y + 4*t = 13. What is y*j(q) - 2*o(q)?\nAnswer: -2*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1310323312 (base 4) to base 16\nAnswer: -74ef6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11367 - 406*o + 3797 + 3791 + 3780 - 2*o**2.\nAnswer: -2*o**2 - 406*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (6 - (15 + 3 + -17)) + -4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (645592\/102)\/((-60)\/18 - -4).\nAnswer: 2, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*b**2 - 371*b**2 - 166*b**2 - 28*b**2 - 2*b**2 to x*b + g*b**2 + d and give g.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3112320?\nAnswer: -3112311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*y + 2 + 0 + 13*y)*(-7 + 2 + 3 + 1 - 1 + 2 + (-1 + 0 - 1)*(-1 + 0 + 2) + 0 + 0 - 2) to the form l + x*y and give x.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79354? (a) 0.2 (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 325\/10*(-6)\/(-5). Suppose -x = 27 - l. Solve 4*o - x = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235144998, -470289995, -705434992, -940579989?\nAnswer: -1175724986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.785453 rounded to 2 decimal places?\nAnswer: -167.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 8*p + 3. Let a = -11 - -5. Let x be s(a). Round x to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/24 - (-10)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266517497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:06 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29)**(-25)\/((c**(11\/2)*c*c)\/((c**(-6\/25)\/c)\/c)) assuming c is positive.\nAnswer: c**(-36737\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.072774 minutes to seconds.\nAnswer: 124.36644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55\/109? (a) 2\/9 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 12 (c) -231 (d) -1\/4 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33433 is divided by 912.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + 2235\/25. Let z = -55 + x. What is the units digit of (z\/6)\/(5\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*i**2 - 156*i + 218*i - 63*i.\nAnswer: -72*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217848272 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*r**3 - 127*r**3 + 270*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5 = s, -s + 22 - 29 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhnxjxnnjn. Give prob of sequence xjnj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0 (c) 1460 (d) 11 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.54285 to 1 decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.657 to 2 decimal places.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 3, 1, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + o + 3*o - 132 = 0, 2*m = 4*o + 108. Let k be 2\/(-12) - (-730)\/m. Let s = -10 + k. Calculate the least common multiple of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 26*b**2 - 118*b - 1507. Give c(-24).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose -6*u + w*u + 20 = 0. Let m(s) = -2*s**2 + 12*s + 14. Let g(o) = -3*o**2 + 12*o + 13. Let t(q) = u*m(q) - 4*g(q). Factor t(h).\nAnswer: 2*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 7*a**4 + 0*a**4 - 4*a**2 + (65*a**2 - 31*a**2 - 33*a**2 + 18*a)*(a**2 - a + a).\nAnswer: 6*a**4 + 18*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 530.56 + -538. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3453, -8056, -12659, -17262?\n\"Answer: -4603*y + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 81*f**2 - 69*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 6}. Give prob of sequence jjjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 12 = -11*i. Which is the second biggest value? (a) -5\/2 (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 15 - -9) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 337. Put -10, a, 5 in ascending order.\nAnswer: -10, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/6))**2\/(v**(1\/8))**19 assuming v is positive.\nAnswer: v**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5 - 7 - 9 + u + 11. Let d be b(13). Solve f + 2*t = -6, d*f + 5*t = -0*f - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18990659\/396 + -191827\/4. What is the common denominator of -163\/2838 and m?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnfwpzw. What is prob of sequence pwzf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16971131 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2257561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6724, 6731, 6736, 6739?\nAnswer: 6740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 4*o**2 - 8*o - 11. Let b be (-4)\/14 + (-132)\/28. Let f be t(b). Suppose 3*c = -4*v + 1167, f*c - 694 - 862 = -5*v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(38)\/(sqrt(4)\/sqrt(2)) + 2 + 1*(sqrt(76) + sqrt(76) + -1).\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9753.35553581 and 6.\nAnswer: 9759.35553581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*r + 79*r + 329*r + (-2 + 2 - 1)*(-4*r - 12*r + 4*r))*(r**2 + 2*r**2 + 0*r**2).\nAnswer: 1683*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1948*p - 1905*p = -5*r + 1093, -4*p + 79 = 5*r - 0*r for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 6.9.\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/14706 and -46\/387?\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.018 + 8.608. Let l = 0.09 - a. Let i = -13 - l. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 7) to base 12.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123998 is divided by 1487?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, -234, 1 in ascending order.\nAnswer: -234, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 + 111. Let i = 78 + z. Solve 3*v - 11 = -2*g, -5*v + 5 = -i*g - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from llwlwllltl.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 78633, -1\/5, 1, 3, 0.1 in decreasing order.\nAnswer: 78633, 3, 1, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 178852043?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/4 + 77631*q + 12733165\/4 = 0.\nAnswer: -41, 310565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*x - 4 = -3, 0 = -5*o + x + 22. Let i = 0.3214 + 0.0786. Let u = 1 - 0. Sort i, o, u in descending order.\nAnswer: o, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4) - (9\/(-1) + 1409). Is -1399 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:02 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67396328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.33. Let a = -4\/17 + -9\/34. What is the closest to a in -0.3, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 17*z**2 + z + 19. Let t be b(-17). Solve -11079*s**3 + 4*s**t - 4*s**4 + 11079*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -44*k - 1927. Let y be m(-44). Let a(f) be the first derivative of -5\/3*f**3 - y + 0*f - f**2 - 1\/5*f**5 - f**4. Let a(n) = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/16*(-4 - -3) + 1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + l = -52, 3*l = -4*a + 3*a + 33. Suppose -2*h + 3*n - 21 = 17, -2*h - 30 = -5*n. Let o = a + h. Solve 15 = 5*r, 4*r - 3 - 17 = o*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**(7\/2))\/y*y)*y)\/(y**(2\/59)*y) assuming y is positive.\nAnswer: y**(409\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34879297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 11*u + 2*u**3 - 7\/2*u**2 - 15 - 1\/4*u**4. Let w be q(5). Solve 5*k + 4*t + 6 = 0, 2*k - 3*t - w = -8*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 6*s)*(-2*s + 2*s**4 + 2*s + (-14*s - 3 + 3)*(4*s**3 - 4*s**3 + 2*s**3)).\nAnswer: 52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1760*u**2. Let a(k) = 15*k**2. Give a(l(h)).\nAnswer: 46464000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 380*b**2\/7 - 17664*b\/7 + 36864\/7.\nAnswer: -2*(b - 2)*(b + 96)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 - 3. Let h(y) = 4*y**3 + 6*y**2 - y + 10. Let u(t) = -2*h(t) - 7*k(t). Give u(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**2 - 41*t**2 + 11*t**2.\nAnswer: -73*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1654 = 4*w, 2*y - y + 2 = 0. Let u be (23\/w)\/(2\/(-8)). Which is the nearest to u? (a) 2\/9 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18*(-3)\/96 + 1\/1 and (-659)\/(-60) + (-4)\/10.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472, 679, 896, 1129, 1384?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107474 and 37060.\nAnswer: 1074740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1, 13246, -6, -1 in increasing order.\nAnswer: -6, -1, 1, 15, 13246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 185*u - 182*u - 18 = 0, 2*a + 4*u - 22 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 11 = -v, 3*v = 37*r - 41*r - 79 + 84 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -9.6?\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9100 and 4834700?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 164, -1\/4, -236, 3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -567\/5 + 7361\/65. What is the fourth biggest value in -0.5, i, 17, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 96445\nAnswer: -1\/96445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/((3240\/50)\/(-18)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-4)\/5 + 98\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4 in descending order.\nAnswer: 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -17. Solve 0 = 4*f - 0*i + 2*i, -2 = y*f + 2*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 - 20)*(3 + 11 + 35)*(-2*y + 2*y + 2*y) as z*y + t and give z.\nAnswer: -2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 - 12.456686?\nAnswer: 117.543314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 2180*z**2 + 2215*z + 13110.\nAnswer: -5*(z - 3)*(z + 2)*(z + 437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*r*u - 28000365*r + 1034*u**4 + 145*u**3 wrt u.\nAnswer: 5*r + 4136*u**3 + 435*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534848523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 - -0.15. Which is the third smallest value? (a) 6 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735059063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14316, 25578, 36840, 48102?\n\"Answer: 11262*u + 3054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3084, -6850, -11922, -18954, -28600?\n\"Answer: -109*u**3 + u**2 - 3006*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 11*z + 60 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3.5. Which is the third smallest value? (a) -1\/7 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469374029?\nAnswer: 43, 157, 365779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1516 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*a - 68 - 13 = 41. Sort 0.2, -5, a, 5, -1320 in descending order.\nAnswer: 5, 0.2, a, -5, -1320","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**6)\/(t*t**38*t))**(-3\/2) assuming t is positive.\nAnswer: t**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaqaqaaaaa.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12815783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47*g**2 + 11*g**2 + 12*g**2)*(0*g - 2*g + 0*g) - 4*g**3 + 7*g**2 - 7*g**2 to the form s*g**2 + y*g**3 + r + b*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2\/7 (b) -0.215 (c) -66 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 + 179. Is 33 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-3 - (-11 + 22 + -23)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 - 110. Let l be (-45)\/126*i + (-8)\/(-2). Factor -l*v + 0 - 6*v**3 - 18\/7*v**4 - 32\/7*v**2.\nAnswer: -2*v*(v + 1)*(3*v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 12*o = 310. Suppose t + o = 4*r, r - t - 30 = -r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -53. Suppose 3*r = 5*i + 14, -3*r - 2 + 20 = -3*i. Let d = f - r. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 831*q + 109. Let d be g(3). Which is bigger: d or 2603?\nAnswer: 2603","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j - 20*j - 15*j**3 - 11*j.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmn when four letters picked without replacement from {n: 4, m: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*a**2*y + 196*y with respect to a.\nAnswer: -328*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17594824*b + 35919173 with respect to b.\nAnswer: -17594824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 20 = -13*g. Solve -1 - 23 = -g*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271612634017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 680\/72 + (-8)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(4\/(48\/(-9)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/123 (b) 2\/7 (c) -0.01 (d) 3\/2 (e) -1\/3 (f) 5 (g) 6.9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5. Let y(b) be the first derivative of 3*b**2\/2 - 12*b - 2. Calculate the smallest common multiple of y(8) and k(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and -75\/764.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - -a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*x + 1026, -961 - 407 = -4*w - 3*x. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28310086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61626866, -123253736, -184880606, -246507476, -308134346, -369761216?\nAnswer: -431388086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001058439 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 5. Let f(z) = -z + 2. Let d(c) = 1. Let o(h) = 4*d(h) - 4*f(h). Let q(t) = -10*t - 567. Let s be q(-57). Determine s*o(u) - 2*v(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j*j**(-39)*j*j)))*j*j**(3\/11))\/(j\/j**(-1\/24))**(-8))**(-29) assuming j is positive.\nAnswer: j**(-44602\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(40)\/sqrt(4) + sqrt(10)) + sqrt(10))\/(3*sqrt(2)*-1) + -5.\nAnswer: -5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cb - -33?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -616*z - 682*z + 2533 - 18109 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, -0.2, 5 in increasing order.\nAnswer: -0.2, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-21))\/(48\/56). Factor 1\/3*m**2 + i - m.\nAnswer: (m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101305 - 0?\nAnswer: -101305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5058 and 2271604.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/5 + -10. Suppose 439*y - 481 = 201*y + 233. What is the closest to -4 in n, 2, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -0.3, -1 in increasing order.\nAnswer: -1, -0.3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 681072?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 353 = -375. Suppose 0 = -o*p + 2*j + 228, -4*p + 68 + 361 = 5*j. What is the remainder when p is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**3 + 55*y**3 - 98*y**2 - 104*y**2 - 26*y**3.\nAnswer: -2*y**3 - 202*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9742, 38998, 87766, 156052, 243862, 351202, 478078, 624496?\n\"Answer: d**3 + 9750*d**2 - d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**3 + 12*d**2 + 10259*d. Let r(b) = 9*b**3 + 14*b**2 + 10267*b. Calculate -6*r(i) + 7*u(i).\nAnswer: 2*i**3 + 10211*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-4)*1)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 15*v**2 - 9*v + 8. Let y be o(8). What is the nearest to -11 in 1, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407 (base 13) to base 4\nAnswer: -22223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 5, 0, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1082483*z + 2164994. Give j(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 36 = -52 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.66 or 4.6099?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 94 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/21)\/(847\/(-33)*36\/(-63))*-2?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4*x**5\/5 + x**4 - 8*x**3\/3 - 9. Solve j(v) = 0 for v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 240822668 and 0.2426.\nAnswer: 240822668.2426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 33. Let r(l) be the first derivative of -l**2\/2 - 8*l - 1798. Give 2*f(b) - 9*r(b).\nAnswer: -b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m + 15. Suppose 2*l - 4*n + n = 79, 0 = -m*l - 3*n + 145. Suppose -2*c + l = -0*x - 2*x, 5*c + 5*x - 120 = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 + 972 = z. What is z rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.7 + -0.372.\nAnswer: 55.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2004*a**2 - 8167*a**2 - 6056*a**2 + 2061*a**2 - 734*a**2.\nAnswer: -14900*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.8 + 35. Let s = -2.8 - u. Let i = -44 - -306\/7. Which is the nearest to -2\/7? (a) s (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + r = -r + 6, -3*b = -4*r + 14. Suppose 0 = 4*f - w, b*w + w = -3*f. Solve f = 5*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/34 + -15\/17. What is the nearest to -1 in 1\/6, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 3\/56*z**8 - 5\/12*z**4 + 0*z**2 + 0*z**5 + 0 + z + 0*z**6 + 0*z**7 + 0*z**3. What is the third derivative of a(i) wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5989 is divided by 241.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 - -3.6. Let v = 6.3 - l. Let x = 29\/52 + -4\/13. What is the biggest value in 1, v, x, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4315 - 4177. Calculate the remainder when l is divided by 114.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2 + 15735*i**2 - 3 - 15725*i**2 - 3 + 3*i. Let j(r) = -21*r**2 - 6*r + 9. Give 4*j(p) + 9*o(p).\nAnswer: 6*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 53238 times -1\nAnswer: -53238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 13*t + 4*t - 4*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 884.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dylrldlllllvlvydluv. Give prob of picking 2 l, 1 r, and 1 y.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose 2*d - 5*d - 3*l = -12, -3*d + 24 = -l. Solve 8 + d = f*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25 = -14*w + 19*w, -3*p = 3*w - 24. Let q be (p + -6)\/(4\/(-3) + 3). Let j = 5.7 + -0.7. Which is the nearest to -0.3? (a) j (b) 2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*m + 417 + 214, -d - 121 = -3*m. Let y = d - -90. Let a = y - -99. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let r(o) be the third derivative of 0*o**3 + 1 + 0*o - 54*o**2 + 0*o**4 + 1\/12*o**5. Calculate -6*m(q) - r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 1, p: 2, x: 4, g: 3}. What is prob of picking 2 x and 1 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.2. Let c = 1.2 - 0.9. What is the closest to 0.1 in -5, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6 = j - 5*y, -5*y + 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuj when three letters picked without replacement from uuuuuujjuj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -234.204452066 and -4?\nAnswer: 230.204452066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*f - 119 = 179, 5*f = -15. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (142\/8 - 0) + (-11)\/(-44). Solve 0 = -l*h + 13*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204590 divided by 5\nAnswer: -40918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7914 = -w + 5*p, 2*w = -5*p + 3962. Let o be 1\/((-14)\/8) - w\/(-28). What is the highest common factor of 60 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = 27. Let y = -9 - q. Let z be -1 - 1 - 0\/3. Sort y, 5, z in descending order.\nAnswer: 5, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.173 at least as big as -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787747607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-1 + 0)\/1. Suppose -n*u = 3*q - 25, 3*q + 1 = 10. Suppose 52 = -0*m + u*m. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 240677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6768 - -9958. List the prime factors of k.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 191815280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**23\/w*w*w*w*w**1*w*(w\/w**11*w)**(-3\/29) assuming w is positive.\nAnswer: w**(810\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (71 - 129 - (20 + (-2 - 2)))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 7*j - 2 - 3\/2*j**2 + 2*j**3. Let u(a) = -a**2 + a**2 - 5 + 2*a - 4*a**2. Determine -5*h(g) - 7*u(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 74*g**2 - 49*g - 161. Is o(-74) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -0.095.\nAnswer: 0.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose -4*s + p - 10 = 0. Let x(w) = -2*w**3 + w**2 - 2*w. What is x(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 18 = -12*h - 3*f, 3*f + 28 = 5*h. Solve 4*g = h*o - 10*o - 17, 2*g = 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, 1 k, and 1 m when four letters picked without replacement from zkffmfmfmmkfmfxzkf.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -508 + 520. Put -6, -1, 4, -5, z in decreasing order.\nAnswer: 4, z, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 571*q**3 - 10*q**2 - q + 10. Let r(w) = -1143*w**3 + 18*w**2 + 2*w - 18. Give -9*f(v) - 5*r(v).\nAnswer: 576*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17072366*j**2. Let g(a) = -2*a**2. Calculate q(g(i)).\nAnswer: -68289464*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*n**3 - 21*n**2 + 21*n**2.\nAnswer: -229*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 80 = -4*n, 0 = 183935*n - 183936*n + 11*x + 61 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/21 + 12\/(-21). Is 0 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b + 3*b + (0*b + 4*b - 3*b)*(-2*b + 4*b - 3*b) + 0*b**2 - b**2 + 0*b**2 + 0*b**2 + 5*b**2 - 3*b**2 - 4*b**2 - 7 + 7)*(-2*b**2 - b**2 + b**2).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 0.5 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2673 = -51*l - 131*l - 1217 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2224 (base 6) to base 2\nAnswer: -1000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/(-13))*-1\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + -0.82. What is the closest to p in 1, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 21*d - 39705. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from {r: 3, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*t + 219, -r + 8*t = 5*t + 36. Suppose -458*a = -429*a + 174. Does 10 divide 24*r\/a*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t**3 + 0*t**3 - 6*t**2 + 6*t**3 - 18 - 6*t + 6*t**3. Let n be g(9). Calculate the greatest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, -73, -413, -891?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -182.3. What is the second biggest value in -2\/9, 6\/11, b, -24?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39082 - -74343. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 341. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3428 + 2686. Does 56 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3123, 6256, 9391, 12528, 15667, 18808?\n\"Answer: j**2 + 3130*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15) + 119\/175*5. Suppose -5*r - 3*h + 71 = -0*h, -31 = -f*r + 4*h. Solve -1 = -3*w + z - 8, 4*w + r = 5*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 319*v - 229*v to z + g*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.061, -6\/17, 2.769?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 114 + 132. Let w = b - 30. Let n = 441 - w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7328755*s**2 + 226178*s + 3 wrt s?\nAnswer: -14657510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-8)\/6 + (-5)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, 3, -4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -2016291?\nAnswer: 3024436.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (3 - (-39)\/(-3)). Suppose 2*o - j = -2. Differentiate 5 - 3 - 3*k**o + 0 + 5*k**3 wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114\/7, -1, -5, -2\/7, -12 in decreasing order.\nAnswer: 114\/7, -2\/7, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853034155.\nAnswer: 5, 7, 41, 1291313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 2:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 9) to base 5.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 + 1. Let z be j(-2). What is the units digit of -2 - (2 - 2) - z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 + 2*v**2)*(386*v**2 + 4 - 7 + 3).\nAnswer: 386*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-95)\/(-20) - (0 + 4\/(-16)). Suppose 2*m + 2*d - 7 = m, 2*m - y = -d. Calculate the remainder when 3 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 10. Let g be z(10). Solve 5*i + 20 = -5*f, g = 3*f + f - i - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*j - 27168 = 0, -6*j = -11*j - 15. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*k + 303*k + 31328 = 158*k. Does 38 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-13 - 1748 - 3)*78\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418613184 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 123*m - 39*m - 43*m - 41*m + 6*m**2. Let u(s) = -38*s**2. What is u(p(r))?\nAnswer: -1368*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + p + 3 + 2)*(-14*p**4 + 65 - 65).\nAnswer: -14*p**5 - 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 104357?\nAnswer: -104353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4*c = -15. Let k(q) = -9*q + 6. Let v(z) = 8*z - 5. Let t(n) = 6*k(n) + 7*v(n). Calculate t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*f = -68, -2*n + 44 = 5*f - 2*f. Solve -17 = 5*u + 3*x, 4*x - n = 2*u + u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1196, -1195, -1194, -1193, -1192, -1191?\n\"Answer: c - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237 = -48*t + 4*t + 665 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 7. Let r be j(13). Suppose 132 = 4*m + 11*k - r*k, 4*k = 3*m - 130. Let a = 40 + -27. What is the remainder when m is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5. Let n(h) = -3. Let i(s) = 4*n(s) - 3*z(s). Let f(l) be the first derivative of l**2\/2 - l - 2. What is 3*f(c) + i(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (-4 - ((-20 - -9) + 19))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*2)*1 - (sqrt(99) + sqrt(99) + (sqrt(99) - -2*sqrt(99)))*4)\/(sqrt(1089) - 1*sqrt(1089)*-5 - sqrt(1089)*-2*-2).\nAnswer: -21*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694626767 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 29)*4\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 1274d?\nAnswer: -12744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 7*v**2 + 8*v - 5. Let b be k(6). Let m be (4 - 0) + 9 + -4. Suppose -6*q = -3*q - m. Solve 4*t = -r + b, q*r - 3*t = 5*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 32440 = -584*u + 588*u, 0 = 2*c + 5*u - 12993. What are the prime factors of c?\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001000100000001111 (base 2) to base 16\nAnswer: -10880f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234 or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-103 - (-173 + 143))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 10441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -24619.2281?\nAnswer: 24619.4281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h - 3. Let r be v(7). Suppose i - 2 - r = 0. Let s = -58 + 68. Calculate the remainder when s is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + 324\/24 + -15. Let q = -67 - -68. Sort p, q, -4, 3 in ascending order.\nAnswer: -4, p, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409468789.\nAnswer: 103, 2861, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (330*h + 347436 - 347436)*(-5 - 1 + 8 + 7*h).\nAnswer: 2310*h**2 + 660*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**5\/120 + y**4\/12 - 2*y**3\/3 + 5. Let d(v) be the third derivative of k(v). What is the units digit of d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 401940970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52609497 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 - 15*z**4 - 105*z**3 + 35*z**2 + 300*z + 180 = 0. Calculate z.\nAnswer: -3, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 1\/2. Suppose 0 = 3*r + 21 - 9. Put r, -30, m in increasing order.\nAnswer: -30, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*l**4 - 13*l + 13*l + ((-l - l + l)*(1 + 1 - 3) + 6*l - 3*l + l)*(-2*l**2 + l**3 + 2*l**2).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + (-86 - -104) - 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 35*a - 16. Let r be 330\/9 - ((-44)\/6 + (10 - 2)). Determine j(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10425 is divided by 5189.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750 by 75.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 489 + -1a5138?\nAnswer: -1a475a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -642 - -642.0675. Let n = -2.9325 - j. Let s be 14\/3*-1*2. Sort n, s, -5 in decreasing order.\nAnswer: n, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c0cc2 + 2d?\nAnswer: 1c0d00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452517269.\nAnswer: 3452517269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -493\/3 or -164?\nAnswer: -493\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(224*b**3 + 80*b**3 + 45*b**3).\nAnswer: -698*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, o: 1, h: 4, m: 2, t: 2}. What is prob of sequence oth?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 + 15725*k**2\/2 + 31395000*k + 3802500000 = 0. Calculate k.\nAnswer: -7800, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 56*k. Let n(d) = -33077*d. Determine h(n(l)).\nAnswer: -1852312*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2483, 5019, 7557, 10097, 12639?\nAnswer: 15183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2))\/(-1) - -6. Let b = -853 - -871. Suppose b = 29*s - 40. Solve -3*f + 20 = -m*l + f, -s*f = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(475) + (sqrt(475) - (sqrt(475) + sqrt(475)*-2) - sqrt(475))*-3 + sqrt(475) + 1 + sqrt(475) + 3)*3)**2 + -2.\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1440 + -893. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 3. Let h = -11410 + 57071\/5. What is the biggest value in o, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.85 + 16.5. Let v = a - 2.32. What is v rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*n + 32*n - 3442 + 3307 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 8*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*v + 3*v = -18, 2*f = 3*v + 15. What is the second derivative of 4*j - 8*j - 5*j**5 + f*j wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 1, v: 1, a: 4}. Give prob of picking 1 r and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298 + -236 - (3 - -18) - (-2 + -13 + 5).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 8053, -58 in descending order.\nAnswer: 8053, 31, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462614.\nAnswer: 2, 313, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 399, 0.6, 22, -0.4 in decreasing order.\nAnswer: 399, 22, 0.6, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*r**5\/7 + 414*r**4\/7 + 4*r**3\/7 - 412*r**2\/7 - 30*r - 2\/7 = 0. Calculate r.\nAnswer: -1, -1\/103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 11*z**2 - 10*z + 10. Let c = 19 - 7. Let f = -7 + c. What is the smallest common multiple of f and w(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k - 16. Let v be h(5). Let y be v\/(-6)*1\/((-3)\/48). Suppose 0 = 4*a + 4*s + y, -a + 3*s = -0*a + 10. Are a and -31\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -209\/2100 and -53\/3732.\nAnswer: 653100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19602*x**2\/5 - 23059872*x\/5 - 6781931648\/5.\nAnswer: -2*(99*x + 58232)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = y + 235, -34*y + 106*y = 41*y + 32*y - 4*p + 75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4871133522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25125450 rounded to the nearest ten thousand?\nAnswer: 25130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*-10*(-12 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*z + 9*z + 45*z + 45*z + 61*z + 57*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v + 3*k - 23 = 0, 0 = -5*v + 3*k + 22. Let p(d) = d + 2*d - v*d + 8*d. Let i(j) = 5*j. Determine i(p(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 13 - 3. What is the third biggest value in -2\/3, h, -1\/2, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2415574 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 51*j - 43*j - 20*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**14\/((x**(1\/12)\/x)\/(x*x\/x**(-2))) assuming x is positive.\nAnswer: x**(311\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1082\/10751 or -1?\nAnswer: -1082\/10751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 656*c + 11542. Determine d(-18).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.442582 times -0.0265\nAnswer: 0.011728423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(6\/(-4)) - 330\/45. Let n(b) = -2*b - 10. Give n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b85428 (base 12) to base 2.\nAnswer: -111000101011000000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 276*u**7 + 649*u**3 - 188. Find the third derivative of q(s) wrt s.\nAnswer: 231840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4680 and 33371520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321.7736 or -1\/3?\nAnswer: -321.7736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/10 + h**4\/6 + h**3\/3 - 3*h**2\/2 - 6*h. Does 13 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 1, 17, 41, 73, 113, 161?\n\"Answer: 4*d**2 - 4*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 15)*(12 + (-348)\/30). Let y(p) = -p**3 - 8*p**2 - 6*p + 8. Calculate y(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*s**4 - 178*s**4 - 84*s**2 + 9*s - 11*s + 16*s**2 wrt s.\nAnswer: -5952*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0997 plus 0.3?\nAnswer: 0.3997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(16\/(-23)))\/(4813\/19252).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180)*2*3)\/(sqrt(120)\/(sqrt(12)*-2))*5 + 3.\nAnswer: 3 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 2522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 - 3*d**2\/2 + 168*d + 19. What is the hundreds digit of p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*x - 51*x - 73*x - 26*x - 121*x.\nAnswer: -576*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 5. Suppose 6 = 2*i + i. Suppose i*j + 9 = -j. Is j greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 3, z: 2, w: 1, c: 1}. Give prob of picking 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from klrkffp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 212515, 425345, 638175, 851005?\n\"Answer: 212830*r - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 567, 2, -2, 16, 0, 38 in ascending order.\nAnswer: -2, 0, 2, 16, 38, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 - 182*w**2 + 338*w + 2. Let y(l) = 110*l**3 - 4005*l**2 + 7435*l + 45. Let o(b) = -45*m(b) + 2*y(b). Solve o(s) = 0.\nAnswer: 0, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*y + 0 + (5*y + 7 - 7)*(-37 - 10 - 2))*(12*y + 3*y + 0*y).\nAnswer: -3630*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011371 a multiple of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i + 0*i**3 + i**2 + 1\/24*i**4 + 0. Let b(v) = v**2. What is j(b(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/147*196\/63*-3)\/((-52)\/(-28)).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 8*j**2 - 7*j + 4. Let i be x(7). Suppose 3*o - 2 = i*o. What is the hundreds digit of (-6)\/((o\/(-19))\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4)*o**5)**(-2))**(-11\/6) assuming o is positive.\nAnswer: o**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -861284 - 83639440?\nAnswer: -84500724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-30))\/(((-8)\/(-36))\/2). Let s be 69\/36*m - 6. What is the smallest value in -1\/2, s, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 12 + 4)*(d - 3*d + 6*d).\nAnswer: -116*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, i: 3, b: 1, o: 2}. What is prob of sequence owib?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48027 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1 = -9*i + 11*i, 13 = 4*s + 5*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 5. Let c be z(-5). Suppose 3*t - 18 = -2*d - c, 2*t - 2*d - 2 = 0. Suppose -s + 9 = -t. Solve -l + 3 = -2*o - 3, 2*l = 5*o + s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/sqrt(36) - (-4 + sqrt(68)\/sqrt(4)).\nAnswer: -sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 12*g + 3. What are the prime factors of o(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Let c be (q\/7)\/(2\/28). Solve -2*i + 9 = -5*k, -2*k - c = 2*i - 0*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 8*l - 4. Suppose 5*z - 3*p = 20, z + 2*p = l*z - 4. Suppose -3*x - 16 = -x + 5*g, -z*g - 26 = -5*x. Solve 6*r = x*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/(-114) + (-3 - 57\/(-9)). Let u = -34 + 30. Let w be 1\/u + (-70)\/40. Put w, 58, f in descending order.\nAnswer: 58, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/168 and -187\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -101, 5, 3, 6 in ascending order.\nAnswer: -101, -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*h + 6, 4*h - 3*h = t. Let y(o) = o**3 - 2*o**2 - 2*o - 1. Let p(l) = -l**2 + l + 1. Let i(x) = 2*p(x) - y(x). Give i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 0 + 1\/5*j**4 - 1\/5*j**3 - 1\/5*j**2 + 1\/5*j**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*8\/(-4 + 3). What is the first derivative of 12*o - 4*o - a*o + 3*o**2 + 4 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 2*h - 30804. Let z = -15329\/6 + h. Find the common denominator of 151\/192 and z.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/30 - n**4\/12 + 2*n + 3. Let f(a) be the first derivative of z(a). Find the third derivative of f(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100\/11 less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**3*q**3*y**2 + 2*c**3*q*y**2 - 17*c**3*y**2 - 37*c*q**3*y**2 - 15*c*q*y**2 - 2*y wrt q.\nAnswer: -66*c**3*q*y**2 - 222*c*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1160\/25 - 2\/5. Let w be 14\/(-77) - r\/(-11). Let p(y) = -2*y**2 + 5 + 3*y + 2*y**2 - y**2. Determine p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2 + t + 0*t + 0. Suppose -3*m = -1413 + 1398. What is i(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 3*c**2 + 11*c - 1. Let a = 78 + -73. Let q be p(a). Suppose -20*b + q*b = -2752. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + d6c19?\nAnswer: d6c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 61826327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-926355)\/40*85\/135. Let d = -14583 - i. What is the common denominator of 56\/27 and d?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 4*a - 12, -5*a - 5 = 0. Suppose c*n - 7*p + 3*p = 106, -4*n - p = -167. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-453 - 4401*w + 1288*w + 908 - 454)*(-3*w**2 + 2*w**2 - w**2).\nAnswer: 6226*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**3 - 3*w**2 + 1. Let m be f(-1). Which is smaller: m or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1105 - -1105. Which is the fourth smallest value? (a) -1\/4 (b) u (c) 0.5 (d) 1\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**3 - 37*a**2 wrt a?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -40. Sort 3\/8, s, -3 in ascending order.\nAnswer: -3, 3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**2 - 521*w - 853?\nAnswer: 2*w - 521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 21*h**2 - 2*h + 64. Let w be a(21). Let c = 4 + -1. Solve -2*i - 2*g + 8 = 0, g - w = 2*i - c*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.83856 take away -38?\nAnswer: 35.16144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*x**5 - 25*x**4 + x**2 - 2*x + 2117?\nAnswer: -2240*x**3 - 300*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yduwlaw. Give prob of sequence wld.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 45, 171, 441, 909, 1629, 2655?\nAnswer: 4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 18. Let d be b\/(-2)*(-6 + 2 + 5). Let g be 0 + d\/(-6)*(-825)\/(-22). What is the highest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26659*c**2 - 5*c**3 - 26659*c**2.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 20, -5, -4, 22 in increasing order.\nAnswer: -5, -4, 14, 20, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 - 77*j\/3 - 158\/3 = 0. Calculate j.\nAnswer: -2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -36. Suppose -2*p + 10 = -h. Calculate the smallest common multiple of p and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106351487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-33) - (1 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22883735.2 to the nearest 100000.\nAnswer: 22900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8705 is divided by 339.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4819723.\nAnswer: 433, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.6354509 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 1825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202 + -201.7. What is the fourth smallest value in 1, 0.4, j, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s - 2*s + 4*s)*(2374*s - 4764*s - 25 + 2369*s) to g*s**2 + u*s + o and give u.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104545913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4935*h**6 - 406*h**3 - 11768107*h**2 wrt h.\nAnswer: 592200*h**3 - 2436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1210321 + -13104?\nAnswer: 1142212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28615*g**3*h**3 - 967*g**2*h - 10*g*h**3 wrt g?\nAnswer: -171690*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 92*z + 4131. Let u be v(-46). What is the greatest common divisor of u and 650?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.2. Let k = 121 - 122. Sort k, i, -4.\nAnswer: -4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -19. List the prime factors of (4 - -3) + (-6 - x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*h**2 + 9 + 8*h**2 - 9 + 23*h**2 as d*h + x + m*h**2 and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123638*k**2 + 61819*k**2 - 35*k + 35*k + 61846*k**2 + k**3.\nAnswer: k**3 + 27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occoomccooocom. Give prob of sequence momo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055018 tonnes in grams?\nAnswer: 55018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0369365 and -0.1.\nAnswer: -0.00369365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/28 - 10*n**3\/7 + 153*n**2\/14 - 5*n + 168. Let h(u) = 0. Calculate u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 9. Let m be g(11). Let z be (m\/8)\/((-9)\/18). Let r = 18 - 91\/5. What is the nearest to -2\/5 in -2\/11, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865124 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 = 2*q, d - 4*q - 3 - 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0. Let f be ((13\/(195\/20))\/(2\/(-6)))\/(-2). Solve -2*b - 10 = j, d*b = 6*j - f*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3 + 46577*c**2 + 19*c + 3 - 46579*c**2. Calculate y(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 0.4 (c) 852\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + 1824\/10. Suppose -3*z + 97 - 88 = 0. Suppose -z*d = -328 + 250. Calculate the greatest common divisor of u and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 11. Let s be f(-5). Suppose -2*a = -4 - 0. Solve i - a = -s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 13 - 29*c**2 - 31*c**2 - 20.\nAnswer: -60*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l**3 + 5*l**2 + 1\/16*l**4 - 1\/120*l**5 + 0 + 0*l. Factor k(h).\nAnswer: -h*(h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 308\/(-24) + 1\/(-6) + (-40236)\/(-4311)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4234 - 4280) + 3 + -82?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from feuzzzzeeeeezeeezezb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 22. Let w be j(-6). Let v be (0 - (1 - -1))\/(-1). What is the derivative of w - 5*l**2 + v*l**2 + 9 - 6 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/7)*v**(2\/7)*v*v\/(v\/v**5)*v*((v*v*v**(3\/2))\/v)\/v*(((v*v*v**2)\/v)\/(v*v**9))**(-5\/16) assuming v is positive.\nAnswer: v**(171\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 776339*w - 776367*w - 280 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149648 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 30 = 10. Let v be (-410)\/(-130) + i\/26. Solve v*p = 11 + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-98 - -20)\/(0 + 4\/(-16)) and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*x**3 + 168*b**3*x**2 + 11*b*x**2 - x**4 + 2951*x**3 wrt x.\nAnswer: 12*b**3 - 24*x + 17706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/157 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 33. Suppose -3*c - 5*v - l - 4 = 0, -4*c = 2*v + 20. Let u(q) = 10*q**2 + 2590*q + 15184. Let w be u(-253). Sort c, 0, w, -3.\nAnswer: c, -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024 plus 0.98?\nAnswer: 6024.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104663 - 2?\nAnswer: -104665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/(q*(q*q**(-1\/3))\/q)))**(-16\/7))**49)**(-36) assuming q is positive.\nAnswer: q**(-1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + 2*w**3 - 2*w**3)*(3 - 1 - 1 + (1 - 3 + 1)*(-6 + 2 + 3) + 1 + 1 - 1 - 23 + 4 - 10) in the form i*w**2 + m*w + u + d*w**3 and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-255)\/(-50))\/17*(-4)\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 541746734*k + 73372380949916689.\nAnswer: (k + 270873367)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13269, 13319, 13369, 13419, 13469, 13519?\n\"Answer: 50*w + 13219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12275 - -519. List the prime factors of v.\nAnswer: 2, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*s - 184 = 0, 4*g - 204 = 2*s + 496. Suppose -85 = -c + g. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149789.\nAnswer: 47, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 + 62062*b = 0. Calculate b.\nAnswer: -31031, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1552072 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 136*d = 16*d - 5895 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + -4 + -1*-4*(1*sqrt(162) + 5))**2.\nAnswer: -14240 - 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*z - n, 3*z - 19 = -3*n - 2*n. Let y = z + -9. Sort 11, 5, y in descending order.\nAnswer: 11, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268*a**3 + 413*a**3 - 1676*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:20 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 960 + -26. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -3, -135, -365?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(0 + (sqrt(75) - 1*sqrt(75))) + 5)**2 - (-5 + 5 + 3*(sqrt(75) - (sqrt(75) + 0)**2))) + 1.\nAnswer: -15*sqrt(3) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4092419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 435*l + 2612. What is r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {f: 1, b: 2, t: 1, e: 4, c: 2, q: 5}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -179, -281, -385, -491, -599?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + p**2 + 0)*(-2*p**2 + 2*p**2 + p**2) to y + s*p + c*p**3 + q*p**2 + v*p**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4*(-4)\/(-8)). Let s = d + -1. List the prime factors of 2\/(4\/s)*-13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(425) + -1 + sqrt(425) + 5 + sqrt(425) + -4 + sqrt(425) + -5)**2)*-6.\nAnswer: -40932 + 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from {s: 1, g: 8, w: 2, c: 2}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s + 5. Let b be i(-4). What is the second derivative of 3*z - z + z**5 + 2*z**b wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 - m**3 + 4*m**3 + (-2*m + 0*m + 3*m)*(-10 + 10 - 2*m**2).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2, 31 in decreasing order.\nAnswer: 31, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/13 (c) -1.42 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 4. Let c be g(0). What is the nearest to 1 in -5, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 528528.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w + 7. Suppose -23*b - 74 = 41. Let v(i) = -8*i - 6. What is b*v(c) - 4*s(c)?\nAnswer: 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 - 3*h**2 - h**2)*(-3*h**2 + 3*h**2 - 5*h**2) + 2 + 2*h**4 - 2 to p*h**2 + v*h**3 + i*h + k + b*h**4 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140725 - -35884783\/255. Let h be (12\/(-255))\/(6\/5). Let s = h + z. Sort s, 1\/3, -3 in decreasing order.\nAnswer: 1\/3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 55. Let r be 4*(-3)\/(12\/(-5)). Let i = -1 + r. Solve 2*c - i*n + n = 16, z*n + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 651531*d**2 - 5859566?\nAnswer: 1303062*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2596\/59 + -47 - (-1 + -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-2)\/l)\/l))**(-38)*((l\/l**(-1))\/l)**(-17) assuming l is positive.\nAnswer: l**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p - 34*p**2 + 38*p**2 + 49 - 53 + 3*p - 6*p. What is a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**2 - 52*o - 211. Let x(k) = -11*k**2 - 79*k - 316. Let h(j) = 8*r(j) - 5*x(j). Let b be h(-10). Suppose -1\/6*l**b - 2\/3 - 2\/3*l = 0. What is l?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -127147*h + 2924356. Calculate n(23).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1854, 0.1, -5, -3\/19?\nAnswer: -1854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 19*u**2 + 3*u + 1. Let g be d(-2). Let n = g + -40. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/278014?\nAnswer: -1\/278014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/7 - 166*b**4 - 131260*b**3\/7 + 8197824*b**2\/7 - 105742080*b\/7 = 0 for b.\nAnswer: -137, 0, 24, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/4 + 143*w**4\/4 - 2706*w**3 + 4953*w**2 + 21004*w = 0 for w.\nAnswer: -89, -2, 0, 4, 118\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2487499799 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {x: 1, n: 8, u: 2, i: 4}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-736)\/414)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 16) in base 15?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3159 - 1?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 10*b + 8. Determine z(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 7 - (28 + 35 + -67) - -37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(((q*q**(1\/5))\/q)\/q))\/q**(1\/11))**(3\/5))**(-2\/25))**9 assuming q is positive.\nAnswer: q**(-5076\/6875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 - 2*t + 1135*t**3 - 5 - 1133*t**3 - 10 in the form z*t**3 + m*t**4 + w + v*t**2 + k*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-4*17\/1496)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 27*v - 32. Calculate c(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 964163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3516128\/(-560)*(-5 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, g: 3}. What is prob of sequence gx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27472465*l**3*z**3 + 2*l**3*z**2 - 66372*l**3 + l*z**4 - 2*z**3 - 67 wrt z?\nAnswer: -164834790*l**3 + 24*l*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73d0 (base 14) in base 16?\nAnswer: -4e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.244 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 20 = 2*l. What is the biggest value in -1, 1.9, l?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - 4*r + 4*r + r + 4*r + 37*r + (0*r + 0*r - 2*r)*(2 + 3 - 3) - r + 0 + 0.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -7*m + 4*l, -m - 147*l + 142*l + 21 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*j**3 - 272*j**3 - 310*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 996.9, -0.2, 3 in decreasing order.\nAnswer: 996.9, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roror. Give prob of sequence rro.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/42*(-4)\/((-80)\/(-165))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = -w. Let f(j) = j**2 + 5*j. Is 11 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(60 + 67 - 76)*(-6*h + 2*h + 2*h).\nAnswer: -102*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38856793 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s - 9 = -67*s. Solve 0 - 3 = f + 4*m, -6 = s*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*w + 4*x, -4*x = 14 - 6. Let b(r) = 7*r**2 - 11*r**2 + 3*r**w. Let j(a) be the second derivative of a**3\/3 + a. Determine b(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -12*b - 22527, 0 = x - 23*b + 25*b - 22555. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/169, -0.3, 4, -54, 10, -0.01 in ascending order.\nAnswer: -54, -0.3, -0.01, 6\/169, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156960 is divided by 51933.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u + 36. Is h(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 49. Is u(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73286290, 73286291, 73286292, 73286293, 73286294?\n\"Answer: a + 73286289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 18. Let k be w(-13). Let r = k + -7. Is (r + 0 - -29) + 3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (30 + -14 - 18) + 11 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*b + 2*v - 1, -2 = 2*v. Suppose 0 = 2*c + 2*p - 64, b = -5*p + 9 - 4. Let i = -33 + c. Is i > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 18. Let z be p(22). Let r = -2 - -3. Solve q - 5*u = -17 + r, z*q - 3*u - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*w - 25*w. Let l(x) be the first derivative of w*x + 3\/2*x**2 - x**3 + 2. Find the second derivative of l(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 11. Suppose -c + 2*d = -5, 1 + 1 = j*c + 4*d. Factor 2\/3*i**2 - 2\/3 + 2\/3*i**c - 2\/3*i.\nAnswer: 2*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 1, 4, -86 in decreasing order.\nAnswer: 157, 4, 1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121 (base 3) in base 9?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -330*c**2 - 17*c - 170. Let m be k(-10). Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20820783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*o - 5*o = 7, -4*o - 14 = 2*j. Let y(x) = -98*x**3 - 2*x - 1. List the prime factors of y(j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(4 + 27\/(-6)). Let m be (-1 - k)*0\/(-6). Solve m = -2*w + w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + 1. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 46. Suppose 55*i - 62 = 3*d + 60*i, 2*d + 40 = -3*i. Calculate m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2924 and 4386.\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h. Suppose -y + 0*y - g = -7, -4*g - 8 = -2*y. Let o(u) = -4 + u + 10 - y. Determine o(t(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3 - 0, -5*p - 15 = -5*m. Let j(y) = -y**3 + 4*y - 3. Let l be j(m). What is the closest to 3 in -0.5, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 + 167. Which is greater: 1337 or a?\nAnswer: 1337","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47*-8\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1\/11, -2\/7, -1\/2, 0.51, -4\/35?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = 5*o. Sort 6, o, -3 in descending order.\nAnswer: 6, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6372 + 26?\nAnswer: 6398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9238*b = -8101*b + 11370 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 3*r + 5*r)*(-11 + 18 - 5)*(-r - 2*r + 5*r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -2.9, 2.6, -1\/2, 3 in increasing order.\nAnswer: -2.9, -1\/2, 0.27, 2.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u*y**3 + 92*u - 42*y wrt y?\nAnswer: -9*u*y**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from sjv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 6.2. Which is the closest to -4? (a) -1\/4 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 8\/2)*(-9 + (-4)\/(-2)*4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093524895?\nAnswer: 5, 29, 409, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) - (-356)\/6. Suppose -3*k + r = -2*l, -2*k + l + 2*l = -46. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370801 (base 15) to base 7.\nAnswer: -31251115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.093747*-1087\nAnswer: 101.902989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 5*f - 46 + 120 - 27.\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16236 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -40*j - 32. Suppose -3*w + 12 = -6. Calculate the lowest common multiple of a(-1) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*c**4 - 97*c**2 + 97*c**2 + (-23 - 60 + 28 + 14)*(8*c**4 - 4*c**4 - c**4) in the form i*c + h*c**4 + y + s*c**3 + o*c**2 and give h.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from rgukuurrrubul.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 5*t + 4*t + 2*t - t. Let o(i) = 10*i. Let m(n) = 49*n. Let g(s) = -3*m(s) + 14*o(s). What is g(w(j))?\nAnswer: -49*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**3\/4 - 135*z**2\/4 - 175*z = 0.\nAnswer: -20, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179\/6 - 361\/12. Which is the closest to -0.6? (a) m (b) -4 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(3\/4))\/((j*j**(3\/11)\/j)\/j))**(-20) assuming j is positive.\nAnswer: j**(-215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(720) - sqrt(720)) + sqrt(720) + ((sqrt(20) - sqrt(140)\/sqrt(7)) + sqrt(20))*3)\/(6*(3*1*sqrt(60))\/sqrt(6)))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/4 + 1533*m**3\/2 - 262386*m**2 + 61023051*m\/2 - 584373285\/4.\nAnswer: -3*(m - 339)**3*(m - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255149 (base 10) to base 2.\nAnswer: -111110010010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10875714 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2 + 2)*(-2*f**2 + 3*f**2 + 2*f**2) + 5*f**4 - 5*f**4 + 3*f**4 + (-2*f + 3*f - 2*f)*(2*f**3 - 4 + 4).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401125 to the power of 1\/2, to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -29833 (base 16) to base 12\nAnswer: -82497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.053 (c) 20\/379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 957254 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -o + 8, 2*o + 4*h + 6 = 30. Suppose 2*z - o*z = -6. Differentiate 2*u**3 + z*u**3 - 5 + 9 wrt u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 3*y - 4. Let x be d(8). Suppose 0 = -6*n + 9*n + x. Let w = n + 21. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2444 + 20?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -842338*t**2 - 399497?\nAnswer: -1684676*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:04 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2820881?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*n + 3, -3*n + w = -2 - 5. Suppose -55 = n*d + 33. Let b be 1 + ((-72)\/d)\/(-4)*1. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5)*((5 - 3 - 1)*(5 - 2 - 4) + 1 - 1 - 1)*(-2 + 2*n + 2).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 8*r - 12. Let p be l(-5). Suppose -5*t - 25 = 0, 2*t = b - t - 14. Sort p, b, 2 in descending order.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 21 = 11. Suppose -i - 2*s + 20 = 0, 3*i = 7*s - 11*s + 58. What is the remainder when i is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-6 - -2) + -4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-10)*(-4)\/42. Suppose 3*f + 6*l - 9*l - 21 = 0, l + 9 = 2*f. What is the nearest to f in 2, 3\/8, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q*q**(4\/17))\/q)**(-10))**(21\/5) assuming q is positive.\nAnswer: q**(-1596\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482453*x - 2106166*x + 3053086*x + 3507960*x.\nAnswer: 4937333*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19324160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 14*r - 21. What is a(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**3*l + 496978*a**3 + 20*a - 166132*l wrt a.\nAnswer: 72*a*l + 2981868*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -122530107 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 0.2066280365?\nAnswer: -5.7933719635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 3c16919?\nAnswer: 3c16911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 61*f**2 + 39*f + 113. What is i(-30)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -615, -619, -623, -627, -631?\n\"Answer: -4*a - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/23 (b) -0.3 (c) 3.3 (d) 18 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**2 + 7 - 3*q**3 - 7 + 7*q**2 + 5.\nAnswer: -3*q**3 - 80*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 2205.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/3 + 25*f**4 - 106*f**3 - 146*f**2\/3 + 319*f + 237 = 0.\nAnswer: -79, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1250)\/(-500)*(5\/225*3)\/((-1)\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 17 + 15 + 6 + 10 - 20.\nAnswer: 10*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15587811 is divided by 266.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -98?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3740 divided by 68.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 25663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 64*u + 372. Let s be h(-6). Let z(y) = y**2 + 17*y + 1. Calculate z(s).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 + z**4\/6 + z**3\/6 + z**2 + 2*z. Let n be g(-2). Suppose -3*q - 5 = 4*l, 3*q - 5 = l - n. Solve q = x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*k + 88. Suppose -4*p + 100 = 3*z, -2*p + 2*z = -2*z - 50. Suppose p + k = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18981*a + 47565*a - 2*a**2 - 28584*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 94*k - 23430.\nAnswer: (k - 330)*(k + 142)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 43*l = 80*l - 332. Which is the fifth smallest value? (a) 2 (b) -20 (c) l (d) 4\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 1, s: 1, u: 3, n: 1, w: 2}. What is prob of picking 1 m, 1 s, and 1 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/628232 and -95\/23364.\nAnswer: 5654088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*f + 36, 12 = -3*i + 7*i + 4*f. Let v(q) = q - 7. Calculate v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5254*p + 1. Let w(k) = -k + 2. Let r be w(4). Let u be a(r). Suppose 6991 + u = -5*c. What is c rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1202 - 1202 + z**2. Let q(j) = -7*j + 5. Calculate q(p(y)).\nAnswer: -7*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j = -53*j + 72. What is the smallest common multiple of 62 and j?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 20*b - 2774*b**2 - 1 + 4.\nAnswer: -2774*b**2 + 20*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -388.097 - -0.097. Let g = q - -389. Which is the nearest to g? (a) 5 (b) 2\/3 (c) 4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41383.27 - 0.0066.\nAnswer: -41383.2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168 or 1\/2?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(24) - (sqrt(6)\/sqrt(2) + 5).\nAnswer: -5 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 4. Let m be c(3). Let f = 8 + m. Factor 0*t + 14\/3*t**4 - 4\/3*t**2 + 0 - 10\/3*t**f.\nAnswer: 2*t**2*(t - 1)*(7*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.97 or 0.88?\nAnswer: -15.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-26*g**2 + 223 - 223) + 8*g**2 + 3*g - 2*g + 0*g to f*g**2 + t*g + h and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.992 + -3.892. What is the smallest value in s, 3\/19, 11, 2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506 minus -219965623?\nAnswer: 219964117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s + 155. What is t(-14)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(-25*a - 18*a - 67*a).\nAnswer: 330*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91507.69cm?\nAnswer: 915076900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 3*z**2 + 2*z + 1. Let h be a(-2). Let v = h - -14. Let k be v + (-3)\/((-3)\/(-2)). Let o(b) = 2*b - 6. What is o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/7? (a) 5 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15208772443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 - 0*4\/(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 10*f + 2. Let n be w(-10). Let y(v) = -v**3 + v**2 + 3*v + 4. Let h be y(3). Let r(g) = g + 7. Let z be r(h). Is z >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 4*s - 170, 3*u - 1561*s + 1562*s = 44 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -4000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1949 - 5825\/21439. What is the nearest to -1 in n, -1, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 944369, 3777437, 8499213, 15109691, 23608865?\n\"Answer: -a**3 + 944360*a**2 - 5*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183 + 178. Sort -3, z, -2, 4.\nAnswer: z, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22883669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -1\/3 (c) 0.06 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3616 + 6106. Suppose -3*s + 92 = 4*w, -s - 52 = -2*w - 4*s. Let z(a) = -b + 2490 + w*a. Let h(v) = -2*v. Give z(h(x)).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -66, -191, -376, -627, -950?\n\"Answer: -d**3 - 21*d**2 - d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 2970?\nAnswer: -7\/1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-28 + 19)) + -8 + -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from eeeeeeeeeddeededeeee?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/400*-8*5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-20))\/((-9)\/108*-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/5, -2\/29, 5\/3, -3, 25\/13?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*x = 7, 0 = -x - 87 + 88 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 8*o**2 - 18*o**2.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - -1.1. Let h = c - 0.6. Let a = h + -0.78. Round a to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 9*v + 6 = 0. Let d be -1*v - (-2 + -6). Suppose -x = 4*i + 1, 2*x - 21 = -2*i + 1. Solve -d*g + g - x = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 4287*a + 4287*a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/15 + 4*z**3\/15 - 2*z**2\/15 - 4*z\/15 = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 2\/(1 - 2). Let o = 584 + -379. Let c = -224 + o. Is w greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -76?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 1\/44, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -102. Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00620109 to 5 decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 827966\nAnswer: -827969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from uoouk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*-1 - -6. Suppose 3*d = q + 4, 5*q + 2*d - 19 = 4*d. Suppose z*r = -b + 4, -q*b = -7*r + 4*r - 48. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -40. Suppose -p*q - 55 = -q. Let s(r) = -6*r - 1. What is the units digit of s(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/35)\/(25\/125)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 10*f**2 + 14 + (3 + 1 - 3)*(3*f**2 - 3*f**2 + 2*f**2).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/15*3*70\/(-21). Solve t*w = 5*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 286 + 3?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 84.0302 * 3.9\nAnswer: 327.71778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110 + -36 + -30)*(0 + (-2)\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, 5, -39, 31, -0.3, -69 in descending order.\nAnswer: 31, 5, 1, 0.4, -0.3, -39, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000584987634 to 7 decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -146. What is the highest common divisor of b and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 31*n - 12584. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 60210 = -16*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64328632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {k: 3, s: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2.667 (b) 0 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.398 and -0.1?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 980238412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.42 less than -2014.506497?\nAnswer: -2010.086497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccczzczccczcczcczcz. What is prob of sequence zc?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5044*b - 4661*b - 5745 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -93. Let r(j) = j**2 + 14*j + 14*j + 11*j + 3 - i*j. Give r(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278730758 or 836192270\/3?\nAnswer: 278730758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (24\/(-4) - 0). Suppose -q*h + 5 = 11. Let a(d) = 13*d**2. What is a(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, v: 9, d: 1, a: 1}. What is prob of sequence ld?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 - 54 + 176*u in the form q*u + h and give q.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12 - 19*(-34)\/(-204).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:34 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.39 + -116.39. Let h = c - -116.1. Put -1, -6, h in descending order.\nAnswer: h, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f**(-24))\/f)\/f))\/((f\/(f**(1\/24)*f))\/f) assuming f is positive.\nAnswer: f**(649\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*a**2 + 0*a**2 + 0 as i + q*a**2 + o*a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l**2 + 283*l + 13. What is the remainder when x(-19) is divided by 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/200)\/((-1122)\/1615515). Let y = -86\/85 + j. Find the common denominator of 5\/96 and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 892 in increasing order.\nAnswer: -5, 2, 892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3183 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5))*5 + sqrt(5) + sqrt(5) + (1 + sqrt(5))*-1)**2 - (sqrt(60)\/sqrt(4)*-3)\/sqrt(3).\nAnswer: -9*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/20 - n**4\/12 + n**3\/6 - 2*n**2 + 24*n. Determine z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 20 = 0, 5*g - 14 = -4*q + 16. Let h = 41\/4 - g. Let d = 580.8 + -581. Which is the third biggest value? (a) d (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 420\/79 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 4 - 27 - 14*k**3 + 0 wrt k.\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-12) + 6)\/(187\/(-765))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1176*c**4 - 295*c wrt c.\nAnswer: -14112*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22914358 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/8 - (-2)\/(-8). Suppose 4*c - 3*o - 14 = 0, c + 3*o = -0*c + i. Suppose -c*s = -172 - 423. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3571*t**2 + 3213. Let w(s) = -3*s. Determine u(w(q)).\nAnswer: -32139*q**2 + 3213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/(-567) + 4622\/21 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - g**2 + 2*g**2)*((2 + 1 - 2)*(-1 - 4 + 4) - 1 + 4 - 2 - 3 + 4 + 4 + (-3 - 5 + 2)*(-1 + 3 - 1)) in the form z + q*g + w*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*k - 7*k - 4*k + (-k - 5*k + 5*k)*(6 - 3 - 1) + 0*k - 4*k + 2*k - k - k + 3*k.\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, p: 2}. Give prob of sequence qqp.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -2*(-18 + 16 - 5424\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**7\/280 - 3*l**6\/40 - 27*l**5\/80 - 7*l**4\/16 - 55*l**2. Factor v(p).\nAnswer: 3*p*(p - 14)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + 4*s + 4*s + s**2 - 11. Suppose -880 = 5*z + 37*z + 46*z. Calculate b(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 15. Let i(k) = 1. Let c(a) = 3*a - 5. Let t(f) = l*i(f) + c(f). What are the prime factors of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.84 - 1.16. What is the closest to -1 in f, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.1. Let p = 0.02 + 3.88. Let f = p + g. What is the third biggest value in -5, 0.03, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 14, j: 4}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)*(h\/h**(-6))\/h*(h*h**(-4)*h)\/(h**(-3\/2)\/h)*((h*h**(-2\/3)*h)\/(h**(2\/7)*h))\/((h\/h**0*h)\/h**(1\/12)) assuming h is positive.\nAnswer: h**(365\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**3*t**2 + 30633139*o**3 - 1803877*o*t**2 wrt t.\nAnswer: -2*o**3*t - 3607754*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -4)\/((-4)\/10). Suppose -b = f*r - 10, 3*b = -5*r + 8 + 2. Let u be (27\/6)\/(15\/40). Solve -u = -r*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 138\/18 + 1 + -4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*m**2*r**3 - 41*m**2*r + m**2 - 2*r**3 + 3236*r**2 with respect to m.\nAnswer: 140*m*r**3 - 82*m*r + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*o + 67 - 242, -2*o + 356 = 2*v. What is the remainder when v is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - -2. What is the least common multiple of (-284)\/36 + 8 + 125\/9 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 6:29 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 66. Let z be j(0). Let u be (2\/5)\/(z\/12). Let i = u - 82\/385. Which is the closest to 1\/2? (a) -1\/3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 3*g - 3*g + (0 - 2 + 1)*(106*g - 156*g + 521*g).\nAnswer: -472*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2008800 and 117\/1550?\nAnswer: 2008800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/43745 - 19422794\/306215. Let q = i + 63. Sort q, -1\/3, 2\/5, 5 in decreasing order.\nAnswer: 5, 2\/5, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989568.3 millennia to decades.\nAnswer: 98956830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36242 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 + -2 - -5. Suppose 10 = -5*t - 5*g + 25, -3*t + 2*g - 6 = 0. Solve t*o + 6 = -v*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377.2 + -376. What is the second biggest value in w, 0.1, -0.2, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1711134 divided by -95063\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76))\/sqrt(4) + sqrt(171) + 3.\nAnswer: 3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 2*b. Let v(d) = -d**2 + d. Let u(s) = -6*p(s) + 15*v(s). Factor u(q).\nAnswer: -3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 12*x - 17. What is the units digit of f(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1 - u**2 - 1\/2*u**3 + 20*u + 1\/4*u**4. Suppose 4*p - 2*p - 6 = 0. Give q(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1367 + -12317\/9. Calculate the common denominator of l and (37\/11988)\/(41\/205).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905, 906, 907?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 = -5*i, -6188*i - 3 = -3*q - 6193*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -4410234?\nAnswer: -4410243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - 1102?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/4 + d**5\/20 - 7*d**4\/12 - d**2 + 76*d. Find the third derivative of n(q) wrt q.\nAnswer: 5040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 612*a + 34744. What is k(-68)?\nAnswer: -2248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.668482869 rounded to three dps?\nAnswer: 0.668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63954 and 1914.\nAnswer: 1854666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*j**3 - 27*j**3 - 29*j**3 + 21*j**2 in the form m*j**3 + o + p*j**2 + l*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 0*v + 5*v + (1 + v - 1)*(2 - 6 - 1) + (2*v + 0 + 0)*(-7 + 3 + 3) in the form z*v + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 645, 1374, 2209, 3174, 4293, 5590?\nAnswer: 7089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 876 + 29?\nAnswer: 8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3\/5 - 10138356*r**2\/5 - 1284835376604*r - 44968741403068\/5 = 0. Calculate r.\nAnswer: -1267291, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/3)\/u)\/u*u)**(-2\/5))**(2\/61)*(u**(-1\/2))**34*(u*u\/u**0)**(-8\/3) assuming u is positive.\nAnswer: u**(-1361\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 6627636?\nAnswer: 6627634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (700\/5670)\/(20\/6*13\/52)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27686 - -5?\nAnswer: 27702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:47 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -18*i**3 + i**2 + i - 4. Let r(c) = 19*c**3 - c**2 + 3. What is 3*p(t) + 4*r(t)?\nAnswer: 22*t**3 - t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8\/52453 - -9076041\/10962677. Let t = -12\/11 + z. Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -15*z**3 - 2*z + z**4 - 1 + 14*z**3 + 2*z. What is the third derivative of s(y) wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0.1, -65?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 36*l - 142. Let g be w(-6). Suppose -2*a + 4*u + 34 = 0, g*a - 7*u = -2*u + 38. Calculate the remainder when 35 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 101 = 2*c - c, 4*c = -2*x + 40. Suppose -x*t = -31*t + 8455. Is -9 + 11 - (0 - t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose 5*o - 4*o - 26 = s. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -44299930.\nAnswer: 132899790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d - 11 = -v, 2*v - d - 7 = 0. Let t = 81127 - 81121. Which is the second smallest value? (a) -2\/17 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1. Let i(d) = -11*d**2 + d - 1. Suppose 516*a + 4*u = 517*a + 1, 3*u = a + 1. Determine a*i(w) - y(w).\nAnswer: 11*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8470 divided by 770.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/5 - 124*h**4 - 18256*h**3\/5 + 19492*h**2\/5 + 18254*h\/5 - 18872\/5 = 0?\nAnswer: -28, -1, 1, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/3)\/(q\/(q\/(q**4*q))))\/(q\/q**(-4\/3)*q\/q**(-4)) assuming q is positive.\nAnswer: q**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 199846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 8, -0.1, 184, 0.5, 3.\nAnswer: -2\/17, -0.1, 0.5, 3, 8, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 13?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(5\/4))\/u**(-7))\/(u**(-2\/7))**(-2\/65) assuming u is positive.\nAnswer: u**(16819\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 + 6141*k\/2 - 30555.\nAnswer: -3*(k - 2037)*(k - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*g + 357*m + 29 = 3*g + 355*m, -9 - 49 - 27 = 5*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -113789\/3 at most -37929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -3, -6 in descending order.\nAnswer: 3, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-1 + 4))*-357. Let o = p - -369. Suppose 6*y = 10*y - 72. Calculate the remainder when y is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -5*l, -5*r + 4*l + 5 = -3. Let o = r - 0. Suppose -v = o*v + 15, 191 = 5*i - 2*v. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 183*h + 305. What is m(-4)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, 554, 4, 4\/3, 0.5 in increasing order.\nAnswer: 0.5, 4\/3, 4, 5, 32, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 18\/8)*(-123)\/(-82)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 124, 131, 154, 199?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*z + 370*z = -359*z + 390 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 93010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6377*m + 8046*m + 7599*m - 2448*m - 2 - 3443*m.\nAnswer: 16131*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 477?\nAnswer: -55\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*924.\nAnswer: -277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 250*i. Let t be f(2). Round t to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -256, -225, -194?\n\"Answer: 31*b - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 bigger than 84837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 0.07?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/7 + -6\/35. What is the nearest to -0.1 in n, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 + 208368 - 208368.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 236*p**2 + 37*p**2 - 67*p**2 in the form i*p + g + t*p**2 and give t.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411227.\nAnswer: 53, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 + 342*a - 1026. What is r(3)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c7a7 - -2?\nAnswer: -1c7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012923 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*j - 2*a = -813*j, 4*j = 3*j - 2*j - a - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z + 8 = 0. Suppose 11 = 3*o - z. Is o smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)\/p)\/p**(-6\/5)*p**(-3\/7)*p**(-8)\/p)**25)**(1\/5) assuming p is positive.\nAnswer: p**(-358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/((-6)\/(-100)). Suppose -8*f = -3*f + r, 2*g - 28 = 5*f. Suppose -5*a - g*k + 35 - 6 = 0, -2*a + k = -9. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 3*r + 4*r)*(4*r + 5*r - 2*r) - 22*r**2 - 20*r**2 + 19*r**2.\nAnswer: -16*r**2 + 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2970 and 412290?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 10272543 + 82*u**2 + 5136268 + 5136275.\nAnswer: 77*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 + 1. Let n(o) = -3*o**3 - 3*o - 1 + 0 + 2*o - 7*o**3. Let x(c) = n(c) + p(c). Give x(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 2. Let m be t(-2). Let h be m - -1*(2 - 1). Which is bigger: h or -2\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:19 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 90*r**3 + 831*r**2 + 2340*r + 2028 = 0. What is r?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1085\/(-28) + -1 + 7\/4. Let c = y + 43. Suppose c*h + m = 105, -4*h - 3*m - 8 = -103. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, 3, -8, -1586, 4 in decreasing order.\nAnswer: 4, 3, 1, -1, -4, -8, -1586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-3 + 7)*94 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*z + 30130 = 31795 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 + 918*u + 1483. What is b(-182)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1016.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0675 + 2.0675. Which is the smallest value? (a) 8 (b) -0.3 (c) -5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(6 - 29 - 96 + (-2 - 1 + 1)*(0 + 1 + 1))*(-16*y**2 + 4*y**2 - 13*y**2) to the form l + p*y**2 + a*y and give p.\nAnswer: -3075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/6 + -2 + 27. What is the greatest common factor of x and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7626 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 2, k: 2, t: 5, y: 2}. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -198 (base 12) to base 13\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:32 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37237572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -15 + 10 + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y - 4. Let m be x(4). Suppose -2 = -2*l + m. Is 4 a factor of (7\/1 - 6)\/(1\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -18*a - 19. Let k(q) = q**2 - 40*q - 37. Calculate 4*k(o) - 9*z(o).\nAnswer: 4*o**2 + 2*o + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 26 = 2*a, 0 = -4*a + 2*r - r + 62. Let y be a\/5 + 2\/(-10). Let t(v) = 0*v - v + y*v. Let j(l) = 2*l**2. What is j(t(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - w - 11, 0*r - 5*w = -2*r + 16. Let z be r + 16\/(-4) + 4. Let i = -3 + z. Solve 0 = f - i*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195496 * 35.1.\nAnswer: 6.8619096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 22*u + 1216. What is the greatest common factor of 38 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 6*q - q)*(29 + 1 - 5)*(-5 + 3 + 1)*(-198*q + 198*q - 33*q**2) in the form g*q**2 + o*q**3 + m*q + t and give o.\nAnswer: -5775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2127493150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -394.809 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 371, -2 in descending order.\nAnswer: 371, 41, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1669616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 9. Let q = 5 + -2. Sort f, -2, q in descending order.\nAnswer: q, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 310025\/38 - 8157. Let z = -3\/2 + q. What is the closest to 0.2 in z, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 4416570 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907908, -907672, -907436, -907200?\nAnswer: -906964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/115328892 and -27\/54918520.\nAnswer: 1153288920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/757770 and 71\/154947.\nAnswer: 103814490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615.6 + -5.\nAnswer: -620.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1763495 or -1763501?\nAnswer: -1763501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (78\/20)\/((-12)\/(-2342)). Let i = j - 761. Calculate the common denominator of (282\/(-12))\/((-28)\/(-7)) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 19367.\nAnswer: 1510626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) + (-42)\/(-9). Let u = 5.9 + 0.1. Let d = u - 6.5. Which is the second smallest value? (a) -0.2 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18921518 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 32*s - 23 = -5*k, s - 17 = -5*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(-3*(0 + sqrt(2420))*4 - (sqrt(2420)*1 + 0 + sqrt(2420) + (sqrt(2420) - (sqrt(2420) + -1 + sqrt(2420))) + -4)))**2.\nAnswer: -1144*sqrt(5) + 1635921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25958888 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (50 - (-3 + 8 - (-52 + 49)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97\/3 + -32. Let g = 34 - 40. Let i = -9 - g. Which is the closest to z? (a) -0.01 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 66, -159, -506, -969, -1542, -2219?\nAnswer: -2994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 480480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1175.7519681 + 1131.75197. Let y = m + 44. What is y rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 1. Let z(h) = -51*h**2 - 3. Let u(i) = -3*c(i) + z(i). Let n(m) = -m. Give u(n(g)).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5157 - 5169. Let v(g) = 5 - 3 - 3*g - g. Is 7 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 2160.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 25 = -4*d, 19 = s - 16*d + 12*d. Solve -5*v = -5*r - 20, s*v = -r - 1 + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*j**3*t**6 + j**3*t**2 - 2*j**2 - 190*t**6 + 1454*t**2 wrt t.\nAnswer: 1080*j**3*t**3 - 22800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 859.999998292 - 860. Round r to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -232, 2\/11, 1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Suppose -4 = -5*l + 3*m, 0*m = 4*l + m - 10. Let d(p) = -35 + 67 - 32 - 133*p**l. Determine i(d(a)).\nAnswer: 35378*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 219525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -23*r - 660. Give h(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 + 6\/2 + -8) - (61 - 57)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.938\nAnswer: -0.2814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 3a?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 93. Let v be 1\/(-2 - (-7)\/3). Find the second derivative of 2*h - l*h - h + 9*h**v wrt h.\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19195 is divided by 2736?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2\/42)\/(7\/(-14)). What is the third smallest value in 0, -2\/11, n, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557358 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*1\/(-2) + 8. Put -5, m, 1 in descending order.\nAnswer: m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1686, 6763, 15228, 27081, 42322?\nAnswer: 60951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0014199213091 and 65.5.\nAnswer: 65.4985800786909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:19 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 3097*y**6\/120 + y**4\/12 + 1517*y**3\/3 - 3664*y**2. What is the derivative of h(c) wrt c?\nAnswer: 9291*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/160 and 35\/48.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266475 (base 8) to base 9.\nAnswer: -152230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.5542538 rounded to 1 dp?\nAnswer: -115.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbbbbdbdbddbddbddbd. Give prob of sequence dd.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/((-9)\/(-3))*12\/15\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0*i = -3*i + 4, 5*i = -4*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*m - 64, -2*b + 19 + 40 = 5*m. Suppose 8*i = m*i - 45. Find the common denominator of 55\/9 and 2\/i*53\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 7 + 2*a - 6 + 4. Let o be (-26)\/(-6) - 6\/(-9). Let y(g) = -7*g + 6. Determine o*y(d) - 6*j(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94281543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let p(h) = -2*h**3 + 2*h**2 + 3*h**3 - 6*h**2 + 2 - 6*h + h. Let r be p(5). Solve -b = r*t - t, -2*i + 10 = -5*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 676.\nAnswer: 9\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 3429 - 44347 = 0. What are the prime factors of p?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24050 * -3.\nAnswer: -72150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/444, -3\/2, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (400\/(-280))\/(2\/(-7)). Suppose h + 14 = -y*x, 4*h = x + 10 - 24. Let j(t) = 5*t + 19. Let i(n) = -3*n - 10. Calculate h*j(l) - 7*i(l).\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - -2. Suppose -6 = 4*x - j. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/44 + (-1111199280)\/(-440) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 + 79*u + 8. Let p be o(16). Is 5 a factor of ((-6)\/5)\/(p\/((-4800)\/(-36)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/210 - w**5\/10 - 2*w**2 + 6*w. Let a(q) be the first derivative of k(q). Find the third derivative of a(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 8*p**3 - 19*p**2 + 19*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 2. Let f be g(-8). Solve -3 = 3*o + f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -30)\/30 - (1 - 5\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) 1\/6 (b) -1\/2 (c) -802\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 136 = u - 61 + 59, 4*b + 8*u + 86 = -34 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/109 - 115\/327. Sort b, -2\/3, 5.\nAnswer: -2\/3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -23. Suppose 0*v - n = -v. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from pppppppppypyppyyppp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1250540 by -250108.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634669265?\nAnswer: 5, 631, 201163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 159\/106 - (2\/4 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, 2\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.317 + -0.217. Which is the second biggest value? (a) 3 (b) 2\/9 (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 4304 - 167566. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8\/((i*i\/i**(-19))\/i)*(i*i*i**(11\/4))**(-19\/5) assuming i is positive.\nAnswer: i**(-601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z**4 + 0 + 0*z - 26*z**2 + 0*z**3 + 1\/12*z**5 + 17\/120*z**6. What is the third derivative of g(o) wrt o?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9 and -145\/4818.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132800066 divided by -7?\nAnswer: -18971438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16346511 is divided by 908137?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) -6 (d) 15\/2 (e) -3 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8347929 divided by -2\nAnswer: -8347929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = 5*x, -4*x + 46 = 4*g - 9*x. Solve 55 = g*l - 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 8 = -15*j. Suppose 0 = -j*a - 214 + 224. Solve 4*o - g + 45 = 4*g, 0 = -a*o - 5*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:38 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/8398*-57)\/(-1)\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 70*d**3 + 24*d**2 + 10*d wrt d?\nAnswer: 60*d**2 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 + (0\/(-10))\/(-5))\/((-1)\/121) and 2662?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p + 2*p + (-5*p + 3*p + 4*p)*(0 + 2 - 4) - 4*p + 2*p + p - 8*p + p + 5*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (126\/(-35))\/(2\/(-5)). Suppose 8*b = l*b - 3*b. Suppose b = -5*i + 8*i - 7545. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 + ((-675)\/(-6))\/(-9). Let a be (-7 - -41)*h\/(-8). Calculate the greatest common divisor of a and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1189011466 and 1.\nAnswer: -1189011466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 11, m: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -17. Suppose -2*a + 54 = -p*w, 2*a - w - 54 = -3*w. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Let r(n) = n**2 + 6*n + 3. Let w be r(-9). What is the lowest common multiple of k and (-3*1)\/((-18)\/w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Let w = -17 + 19. Suppose a + 0*a - 5*q - 14 = 0, 0 = h*a + w*q - 59. Calculate the greatest common divisor of 171 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 66*g + 105. Let p(n) = 5*n + 8. Let s(i) = -2*k(i) + 27*p(i). List the prime factors of s(17).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -10860 + 11112 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 4*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11236960 minus 0.2?\nAnswer: 11236959.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4926*o + 955269 - 16328*o - 955269.\nAnswer: -21254*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*u - 2. Let j(l) = -u*l - 3894 + 3894. Let t(g) = 2*g. Give t(j(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126.1 + 24.1. Let p = 103.06 + n. Let g = p - 0.06. Sort 4, -1\/2, g in decreasing order.\nAnswer: 4, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*u + 37 = 0, 4*u + 1 = -j + 17. Let o = 23 + j. What is the remainder when 56 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512797079 is divided by 236?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 95\/(-25))*(-165)\/231. Which is the fourth biggest value? (a) -91 (b) -4 (c) f (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:24 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.385? (a) 12 (b) 6 (c) 0.1 (d) 5\/2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9872 and 1360.\nAnswer: 839120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-2)*(-46)\/(-6))\/1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7050?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:18 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6*-4*10\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u*u\/((u**(-1\/7)*u)\/u)*u*u**(-7)\/u*(u\/u**(-5\/3)*u)\/u)\/((u**1*u**(1\/2)*u)\/((u*u**(-6))\/(u\/u**4))) assuming u is positive.\nAnswer: u**(-449\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2888400 divided by 5.\nAnswer: -577680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-24 - -26 - (-1 + 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/19, 5\/3, -14\/9 in descending order.\nAnswer: 5\/3, 0.5, -2\/19, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/(12\/9). Let g = 4855 - 48469\/10. What is the common denominator of ((-84)\/(-320))\/(i\/12) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12.9, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 228 - 233 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580042 is divided by 15262?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 11. Let f be b(8). Suppose -f*x = -17 + 2. Suppose -k + 0*k - 2*p = -10, -p + x = 4*k. Solve k = 3*m + 10 - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-24)\/33 + 142029\/(-9306))?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 26\/9, -0.08, -1\/4 in decreasing order.\nAnswer: 26\/9, 2\/3, -0.08, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 + 702\/5. Let k = -87 - -51. Let r = -40 - k. Which is the smallest value? (a) r (b) -4\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 2*l - 15. Let m be d(-7). Let u = 98 + m. Let n(k) = -5*k**2 - 4*k. Let i(v) = v. Let h(q) = 4*i(q) + n(q). Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -52.9. Let s = q - -12.9. Which is the nearest to 1? (a) -0.3 (b) 1\/14 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**2 - 6*f**2)*(2*f + 0*f + 0*f) + 4*f**3 + 2*f**3 + f**3 + (1 - 1 + 2)*(-3*f**3 + 2*f**3 + 0*f**3) - f**3 + 0 + 0.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:16 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 2\/(-1)) + 20. Suppose 2*h = -h + j. Calculate the smallest common multiple of h\/4*48\/9 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-18))\/(18\/(-162))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.92 - -30.3. Let v = w - -34.72. Round v to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.25, -3\/5, -0.13981, 0.9, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509497403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 22*t + 15. Calculate d(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 - 576*d**4 - 29277*d**3 - 325104*d**2 + 354960*d = 0. Calculate d.\nAnswer: -116, -60, -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7801.4 from -0.7.\nAnswer: -7802.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 267 = z + 233, 2*z - 4*w - 98 = 0. Suppose -4*t + 2*d + 1712 = 0, 0 = -5*t - 2*d - 3*d + 2155. Calculate the greatest common divisor of z and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7673703700 rounded to the nearest 1000000?\nAnswer: -7674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1317, -0.2, 4\/135 in descending order.\nAnswer: 4\/135, -0.2, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*m**3*q + 2*j**3*m + 2*j**2*m**2*q + 2*j**2*m**2 + 2*j*m**3*q - 2*m**3 + 2*m*q wrt m?\nAnswer: 12*j**3*q + 12*j*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2 - 1327468916*b + 530987568.\nAnswer: -2*(b + 132746892)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -77*j - 176. What are the prime factors of y(-8)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -1\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 9:35 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 4*b + 2. Suppose -4*t + 11 - 3 = 2*f, -4*t = 0. Let x be u(f). Suppose -x*o + 0*o = 0. Solve 5*s + 25 - 5 = o, c + 4*s + 17 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599063 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o - 3*o + 6*o + 4 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 26898 - 43205. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23391452?\nAnswer: 2, 7, 113, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 9*x**2 + 1\/8*x**4 + 0 - 1\/3*x**3 + 0*x. Calculate the least common multiple of 8 and y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -0.2, 1\/5, -0.002?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0 - (6 - 10)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 + 15*i + 12. Let x be z(4). Which is smaller: -164\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 7 = 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3371 - -6914. Suppose 0 = -4*l, 2*o - 151 - g = l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 728 and 99216.\nAnswer: 694512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = -24. Let z(w) = w**3 + 7*w**2 + 9*w + 5. Let j be z(-4). Let q = m + j. Calculate the highest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 10*c = -104, 229494*x - 229498*x = -2*c + 107 + 13 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18189281 and 0.04.\nAnswer: -18189280.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 + 1\/((-18)\/(-54)). What is a in -1\/2*a**3 + s + 2*a**2 - 5\/2*a = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**(17\/5)\/((p\/p**(1\/3))\/(p*p**(-4\/19))))**24 assuming p is positive.\nAnswer: p**(-14104\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llil when four letters picked without replacement from {l: 3, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3 + 7\/2*v**2 + 2 + 5*v. Let t(r) = -2*r**2 + 6*r + 4. Let y(q) = -6*a(q) + 7*t(q). Differentiate y(m) with respect to m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -3. Let u be (-6)\/4*4\/21. Let z = 6 - 11. What is the closest to u in -2, z, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604, -546, -448, -310?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2479, -4762, -7045?\n\"Answer: -2283*w - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgx when three letters picked without replacement from wffmgxx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10*1380\/(-2576)*-1)\/(30\/21)?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6302 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (14 - (-7 + 3) - 8 - 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-300)\/(-1050))\/((-2)\/(-56)). Solve 0 = -4*a + t, 7*m + 9 = 2*m - 3*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 - -2.8. What is the second smallest value in o, 0.1, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5399 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -44)\/(6\/8*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 60\/29?\nAnswer: 60\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173496491 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 45 + 3. Calculate the least common multiple of (-6)\/(-2) - 2 - -19 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 7\/(-9) - 11\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/156)\/((-115)\/781540) - 20\/(-65)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1 + -4 + -177 + 167 + 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1633 - 3.8327. Let x = o - -4. What is x rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t + 67*t - 88*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -1\/2 (c) -2\/9 (d) 0.1 (e) -119561 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)*x**(2\/9)*x)\/(((x\/(x*x**6\/x*x*x))\/x)\/(x*x**(-9))) assuming x is positive.\nAnswer: x**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*o - 24 = 0, -3*b + 5*o + 23 = 13. What is the smallest common multiple of 227 and b?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y*y**(-1\/5))\/y)*y**3)\/(y*(y*y**2)\/y*y*y*y**(2\/5)))\/((y\/(y*y**6))\/(y\/(y\/(y*(y**4*y)\/y*y))))**(13\/7) assuming y is positive.\nAnswer: y**(703\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * 0.19855.\nAnswer: 0.43681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*a = -245*a - l + 75, 0 = 3*l - 39 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwmmwmm. What is prob of picking 1 m and 1 w?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**7\/210 + m**6\/120 - 9*m**2. Solve t(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5\/5 - 688*x**4\/5 - 22933*x**3 - 226586*x**2\/5 = 0.\nAnswer: -409, -277, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -168dc11?\nAnswer: 168dc0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -7*i**6\/120 + 7*i**2. Let n(p) = -22*p**3. Determine 3*n(a) - 10*q(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 - 110. Solve 150*r - 147*r - 15 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2306149132 and -0.1482.\nAnswer: 2306149131.8518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (3 - (20 + 16 + (-11 - 7)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 165, 12, -3, -2.\nAnswer: -3, -2, 3, 12, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244376851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.030265 - -9465.\nAnswer: 9465.030265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -114 (c) 0.1 (d) -307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - (38 - 19)) + -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 - 1010*o - 1009 = 0.\nAnswer: -1009, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1750)\/100*36\/(-18)*(-2)\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1440 and 64768?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*y - 1360 - 12202 - 11940 = 0 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69567, 139139, 208709, 278277, 347843, 417407?\nAnswer: 486969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 1, x: 4, e: 5}. What is prob of picking 3 x and 1 d?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/16728 and 89\/76424?\nAnswer: 3897624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03337 + 0.43337. What is the closest to 0.05 in c, 2, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7081*i - 7077*i - 40. Solve 1 = 2*m - c, -3*m + c + i = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3057088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.58, 0.5, 0, -1296.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from cwoocnnknowwcwkckkc.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = 4*s + 32, -3*y = 3*s + 3. Suppose -5*q = 2*k + 50, q - 3*k = 3 + y. Let t = 11 + q. Solve 2*c = -h - 5, -t*c - 12 = -h - 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*u + 131, 211 = 5*u + 5*l - 2*l. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130.1 + -125. Let y = -0.1 + p. What is the third biggest value in y, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*q + 178, q + 17 = 2*m + 99. Is q a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1218*w - 54*w**4 - 1218*w + w**4 + 1 - 1 + (-5*w**3 + w**3 + 2*w**3)*(2*w + 4*w - 5*w).\nAnswer: -55*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 x, and 1 p when four letters picked without replacement from {x: 2, s: 3, f: 2, p: 9, g: 3}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - 2*z + 3*z)*(-1 + 1 + 2*z)*(z**2 + 2*z**2 - 4*z**2).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, w: 4, a: 2, k: 1, z: 9}. What is prob of picking 2 w and 1 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -1352604.4?\nAnswer: -1352604.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52145449.\nAnswer: 52145449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.3 (b) 0.4 (c) -12 (d) 4\/5 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44316725 minus -0.193114?\nAnswer: 1.63628125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(125))*-6*-6 + -6*(-4*sqrt(125) + 2 + sqrt(125)))**2 + -4.\nAnswer: 71280*sqrt(5) + 381920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -45. Let n = 27 - r. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m**3 - 376*m + 1052*m - 337*m - 339*m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -1\/360*t**6 + 0*t + 0 - 7\/24*t**4 - 1\/3*t**3 + 1\/20*t**5 - 4*t**2. Let r(j) be the first derivative of h(j). Calculate r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*a + 46, i - 3*a - 22 = 2*a. Calculate the remainder when 33 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 - 0.03. Which is the biggest value? (a) g (b) -9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1059.03 + -1032. What is p rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77044\/3399*6\/(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 14 - ((-35 - 140) + 37) - 3?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)*((-2352)\/(-6) - -13). Calculate the greatest common factor of 1755 and w.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and ((-8)\/(-6))\/(-7 - ((-3676)\/408 + 2)).\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.6 (b) 1 (c) 4 (d) -2\/9 (e) 11 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/((-696348)\/(-1547371)) + -20. Is b at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.55 - -14. Let q = m - 1.49. What is the third biggest value in -0.1, 2, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -176*(-3 + 0 + 2). Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*k - 94 = 0, 15*k + 166 = 5*m + 13*k. Calculate the remainder when 67 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234 at most -465\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58 + 29.8206.\nAnswer: 29.2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105585 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 12*d**3 - 7*d**3 - 10*d**3 - 5*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z**3\/3 + 43*z**2\/2 - 9*z + 16. What is the lowest common multiple of l(21) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6838, -6704, -6578, -6460, -6350, -6248, -6154?\nAnswer: -6068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 527*g**3*s**4 + g**3 + 22*g**2*s**4 - 2*g**2 + 1880*g wrt s?\nAnswer: 2108*g**3*s**3 + 88*g**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*p + 1, -3*p - 17 = 147*g - 146*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775495765?\nAnswer: 5, 11, 37, 131, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 292640\/218240 - 20\/(-22)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -11 (b) -1\/41 (c) -14 (d) -0.1118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 13*m - 20. Suppose 15 = -3*w, -4*d = 2*w - 7 - 23. Let y be t(d). Let r be -3 + 0\/((-6)\/(-2)). Sort 5, -5, y, r in descending order.\nAnswer: y, 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1111*q**5\/20 + 815*q**3\/6 - 3*q - 139. Find the second derivative of d(b) wrt b.\nAnswer: 6666*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122.241407 rounded to the nearest integer?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, q: 11}. What is prob of sequence jwj?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.1 - 63. Let c = p - 3. Let b be -1 - -2 - (6 + 12\/(-4)). What is the nearest to c in 3, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 14732.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnccctn. What is prob of picking 1 c and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*c**4 - 25*c**4 + 11*c**4 + (3*c**2 - 5*c**2 + c**2)*(c**2 + 0*c**2 + c**2).\nAnswer: -46*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/((-10)\/60) + 8. Let x be 1 + 42\/(-9 + 2). Put h, -7, x in decreasing order.\nAnswer: h, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3250943542 - 5.3251. Round k to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.04, 1893.45, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 6. Let c = u + 6. Let s be 4\/(-2) - (2 - c). Solve -r - 3*f = 11, 2*r - 9 - 19 = s*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -944440*b. Let a(z) = -907*z. Calculate r(a(h)).\nAnswer: 856607080*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s*s\/s**18*s)\/((s\/(s\/(s*s*s\/(s\/(s\/(s\/(s*s\/(s**(-3\/14)*s*s))))))))\/(s\/(s**6\/s))) assuming s is positive.\nAnswer: s**(-493\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3258467.\nAnswer: 3258467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 9, -7 = 10*m - 12*m + 5*h - 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*o + 101, 6*o - 4*m + 122 = o. Let a = o + 89\/4. What is the second biggest value in 3, -3\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423613 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 19*q**2 - 82*q + 53. Calculate x(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*(sqrt(96) + sqrt(96) + sqrt(96)*-2))\/(sqrt(22)\/(4*sqrt(396))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from xdspd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 18. Find the third derivative of 10*z**2 - 14*z**2 - z**3 + 0*z**k wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 2.8. Let d = 4 + p. What is the biggest value in -3, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 7, 9, 9, 7, 3, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**5 + 2*x**2 + 3*x. Let y(a) = -a. Let w(f) = c(f) + 3*y(f). Find the third derivative of w(s) wrt s.\nAnswer: -660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(-2 + 1). Suppose l = -3*c + 6*c + 711. Is c\/(-5) + (-6)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.13 + 0.13. Let t = -11.9986 - x. What is t rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c + 2*c - 5*c - 12. Suppose -7*q + 3*q - 32 = 0. What are the prime factors of i(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.015102ng?\nAnswer: 0.000000009015102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -12. Let y(h) be the second derivative of 0*h**2 + 1\/3*h**l - 3*h + 0. Let x(j) = -3*j. Calculate x(y(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = -0*b. Let s(j) = -j**3 + 4*j**2 - 3*j - 3. Let d be s(b). Let c = 12 + d. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1533 + 1533 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(0*y - 4*y + 2*y) + (-3*y + y + 3*y)*(-5 + 3 + 3).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*z - 22156, 10*t - 7*t = 5*z + 22196. Suppose 40*f = t - 952. What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5886 by 2.\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6422221 >= -6422220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2190 and 1893255.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14815\/23 - -644. What is the second smallest value in 5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -900*j - 158*j - 32798 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110000 - 100101011110101111101?\nAnswer: -100101011111111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16227 - 8781. What is the highest common factor of 102 and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5160611 and 121201.\nAnswer: 6379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 20*x - 382. Let k be u(19). Suppose 2*q + 2*s + 12 = 0, -25*q = -21*q - 3*s + 17. Sort q, 55, k in ascending order.\nAnswer: q, k, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 65.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/9 + 70*d**4\/3 - 624*d**3 + 5408*d**2\/9 = 0. Calculate d.\nAnswer: 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.5 - -17. Let g = 34 - 103\/3. Which is the closest to k? (a) 2 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111100101110 + -10?\nAnswer: -100111100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q - 31. Let m(i) = -42*i - 89. Give 8*h(y) - 3*m(y).\nAnswer: -2*y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -51\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 22. Suppose 4*t + 10 - b = 0, -3*w + 374 = t. Calculate the remainder when w is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14363 is divided by 3568?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 1010409055.12.\nAnswer: -1010409054.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0421 - -61.3421. Let k = -69 + s. Round k to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3 - 65*d**2\/2 + 152*d + 77. Let n(g) = 65*g**2 - 1430*g + 3345. Let j(o) = 2*n(o) - 45*v(o). Solve j(q) = 0.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2 - 14, 48 = 3*o - 4*u. Suppose o = 5*g - 4*m, -5*g + 0*m = 2*m - 20. Solve 0 = 2*i - g + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 7*g + 3. Suppose 2*v = -3*k - 28, 57*k = 56*k + 4*v + 14. Calculate q(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 226*c - 3908. Give p(-19).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x + 41. Give a(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by 1.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*j - 18 = 0, -4*r + 0*j - 3*j + 25 = 0. Find the third derivative of 5*p**2 + 2*p**2 + p**r - 3*p**2 - 3*p**2 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 6308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 36 = -3*k, -2*m + 4*k = 3*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.62604 and -40.\nAnswer: -40.62604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 803581 divided by 10?\nAnswer: 803581\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 18 + -40 - -39.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 1855.\nAnswer: 178080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**3 + 0*c + 4*c**2 + 0*c**4 - 2\/735*c**7 - 1\/420*c**6 + 1\/210*c**5 + 0. Suppose t(a) = 0. Calculate a.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:43 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - (172\/129 - 62\/42). What is the third biggest value in 1\/2, 5, k, 0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000113793461 to seven dps.\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 141 + 2*c - 2*c + 553.\nAnswer: -c + 694","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25981088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from jjytyttjjtyzt.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11970378 divided by -14?\nAnswer: 855027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(3 + (-2 - -1)). Let p = 1 - x. Is 2\/7 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*n + 0*n + 58 = 0, -4 = -2*z - 4*n. Let b be (-2)\/18*-3*9. Suppose 5*i = b*i + 2. What is the least common multiple of i and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 + 0*x**2)*(2 - 8*x - 2 + (2 - 3*x - 2)*(-2 - 5 + 2)).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 4, w: 4, e: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291 and 18341439.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*q**2 - 1 + (-3*q + q + q)*(q + 3 - 3) + 3*q - 3*q - 2*q**2 + (-3*q + 3*q + 2*q)*(-2*q - 3*q + 3*q) + 5*q**2 - 2*q**2 + 7*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 44, 123, 256, 455, 732?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -683.1042 rounded to 0 decimal places?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 120 = -2*t + 45*z - 93, -1 = -2*t - 5*z for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37171828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 25765639, 25765641, 25765643, 25765645, 25765647, 25765649?\nAnswer: 25765651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -7 + 23 - -5 - (13 + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 6*u - 5. Let w(k) = k - 1. Let j(b) = v(b) - 4*w(b). Let p be (-28)\/(-70)*30\/(-36)*-3. What is j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 0.36, 3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2))**(-18)*x\/(x*(x*x**(-1\/11))\/x)*x**2)**(-16\/7) assuming x is positive.\nAnswer: x**(-3536\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrryoor. Give prob of sequence rrr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/11 in -11, 5, 2, 3\/59?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 - 168.993642. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 + 3*g + 2. Let j be t(-3). Is j\/(6\/2529) + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) -0.06 (c) 5 (d) 1\/17 (e) 47 (f) -6 (g) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10269 + -1*(-6 + -1) - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 11 = -4*k, 2*k = -4*r + 21 - 11 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39395\/4 + 9849. Which is bigger: v or 23\/21?\nAnswer: 23\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 - -170. Let g be (-15)\/4*(1 - -3). Let l be (-9 - g)*(2 - 8\/c). Solve 15 = 4*f - 1, -2*f + 12 = l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - 5*h)*(-2 + 1 + 2) + h + 4 - 4 - 6 + 8*h + 3 + 1 - 7*h + 10*h - 2*h + (1 - 1 - 2)*(-6*h + 2*h + 2*h) + 5*h + 2*h - 6*h.\nAnswer: 13*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s - 16, -s = 3*q + 40. List the prime factors of 1*q\/28*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 - 929*j**4 + 274*j**2 + 5*j + 2?\nAnswer: -60*j**2 - 22296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 + 12*o**2. Let j(z) = z**3 + z**2. Let u(c) = 14*j(c) - 2*n(c). Factor u(p).\nAnswer: 2*p**2*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 2*x**2 + 5*x**2 + 3*x - 3*x**2 + 6*x**3 + 78*x**3 to n + i*x + d*x**3 + o*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-30))\/(-8 - 301\/(-35)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -18*m**2 + 6*m + 1. Determine t(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9064536 by 266604.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 10 = -10*t. Let g be (2\/(-1))\/(4*(-6)\/(-12)). Let o(j) = -2*j**3 - j**2 - 2*j - 1. Let p be o(-1). Sort -3, g, p, t in descending order.\nAnswer: t, p, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 67*j - 2078. Let n be g(32). What is the highest common divisor of 869 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 5*f**6\/6 - 5*f**5 + 35*f**4\/4 + 5*f**3\/3 - 20*f**2 + 20*f - 205. What is b in c(b) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597588 - 117336 = 6475*n - 28574 for n.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, e: 4, w: 1, d: 2, r: 5, u: 2}. What is prob of sequence reur?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43071 - 43076. Let c(p) = 209*p + 19. Let j(o) = -52*o - 5. What is v*c(z) - 19*j(z)?\nAnswer: -57*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -26093*f**2 + 11. Let h(a) = 3*a. What is h(k(j))?\nAnswer: -78279*j**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f**4 + 3*f**2 - 3*f + 21. Let h(j) = -42*j**4 + 10*j**2 - 10*j + 64. Let y(l) = -3*h(l) + 10*q(l). Differentiate y(m) wrt m.\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185108319 to the power of 1\/2, to the nearest integer?\nAnswer: 13605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/2*(-2)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 18*c**4 - 11*c**4 - 2 - 84*c - 5*c**2 + 84*c to the form s*c**2 + m*c + j + q*c**4 + v*c**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8431920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglsllf. What is prob of sequence ll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 200699 and -599.\nAnswer: 200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**9\/504 - 111*l**8\/112 + 13*l**5\/15 - l**4\/12 + 853*l**2. What is the third derivative of j(d) wrt d?\nAnswer: -120*d**3 - 19980*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98 and 1.1089.\nAnswer: -108.6722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, u: 3, r: 2, v: 6, f: 5, n: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -293, 7 in decreasing order.\nAnswer: 7, 0, -4, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104\/3 + -34. Which is the third biggest value? (a) g (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -232 (b) -30 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -16*l + 7847. Suppose -218 = -2*a - 2*w, 141 = 5*a - 4*w - l. What is the highest common divisor of a and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 8 = 3*l - 4*i, l + 5*i = 43 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244360780?\nAnswer: 2, 5, 991, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.919 rounded to two decimal places?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - k + k**3 + 150*k**2 - 159*k**2 to the form c + h*k**2 + y*k + j*k**3 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from {w: 4, p: 1, i: 3, d: 6}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m**3 - 10*m - 13. Let u(y) = -19*y**3 - 16*y - 20. Let w(z) = -8*s(z) + 5*u(z). Let g(v) = -v**3 - 3. Determine 6*g(r) + 5*w(r).\nAnswer: -r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/1335 and 83\/6?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2. Let m(y) = -6*y**2. Calculate m(a(p)).\nAnswer: -216*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d. Let u(i) = -106042*i + 2. Give w(u(j)).\nAnswer: 636252*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 332 = 4*a - 557, 4*a - 874 = -2*h. Let r = 151 - 66. What is the highest common factor of a and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-98)\/(-28) + (-1)\/2. Suppose 4*t = -m*p - 6, 4*p - 5*t - 4 = 19. Factor 4\/7*q - 10\/7*q**p + 6\/7*q**3 + 0.\nAnswer: 2*q*(q - 1)*(3*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1683738)\/35)\/(-7) - -6*(-4)\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = o - 5*o. Suppose 2*g - 11 = 27. Suppose 54 = 5*f + g. What is the least common multiple of f and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 242*r - 10248. Calculate q(42).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaoo when four letters picked without replacement from {a: 11, o: 5}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2*a**3\/3 - 5*a**2 + 34*a + 94. What are the prime factors of p(-11)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*w = -148*w + 532. Sort 5, w, 3, 4 in ascending order.\nAnswer: w, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*x - 120*x + 48 = -214*x. Let a(i) be the second derivative of 0 - 13*i - 1\/3*i**x + 1\/2*i**2 + 1\/6*i**4. Calculate a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 864, 1271, 1656, 2013, 2336?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 2. Let j = 0 + 5. Let a be n(j). Let l(q) = 5*q. What are the prime factors of l(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u - 24. What is the units digit of y(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*k*x**3 - a*k*x - 4*a*k - 3*a*x - 1398*k*x**3 - 74*k*x - 2*x**2 wrt x.\nAnswer: -6*a*k*x - 8388*k*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5353.03 and 49.4.\nAnswer: -5303.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -430*y - 2346 - 67 - 2747 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 31.477, -0.5, -3, 0.03 in decreasing order.\nAnswer: 31.477, 0.03, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*i + 133*i - 398*i + (4*i + 2*i - 4*i)*(3 + 0 - 2) + 6 - 6 + i.\nAnswer: -373*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11885 times -1?\nAnswer: 11885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 24.000004. What is h rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -54*r - 292. What is the remainder when 764 is divided by j(-9)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 392 = -h - y, 2*y = -5*h + 389. Suppose -h = -3*a + 2*a. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Let d(n) = 312*n - 546. Let x(j) = 2*j - 3. Let w(l) = -3*d(l) + 546*x(l). Determine w(u(k)).\nAnswer: 312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:04 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149234.\nAnswer: 2, 29, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 + 74 = -14*h + 114 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66\/61 or 1?\nAnswer: 66\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138216712*v**2 + 1660888*v - 5.\nAnswer: 276433424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -76. What are the prime factors of (97 - p) + 5 + -2?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 + 3*t. Suppose 0 = -y + 3*w, 23 = -2*y + 2*w + 15. Let g(z) be the second derivative of z**4\/12 - 6*z. Calculate y*g(x) - s(x).\nAnswer: x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-435)\/12)\/((-7310)\/(-11696)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(112) - sqrt(112) - (3 + sqrt(7)*-2))**2.\nAnswer: -1566 - 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19761 or -39521\/2?\nAnswer: -19761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 9*m**2 + 7*m + 19. Let t be s(-8). Suppose 0 = t*x - 11*x - 784. Calculate the lowest common multiple of 7 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14429, -28748, -43067, -57386, -71705?\n\"Answer: -14319*t - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/((-30)\/100). Suppose s*l = -25, -3*j = 5*l - 57 - 17. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, 2, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11493431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -532.0055 to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 - 2. Let k be h(6). Suppose -3 = 3*z - 0*z. Are k and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -9*n + 4*n - 29, u - 31 = -3*n. Let g(k) = 14*k**2 - u + 9 + 13. Let o(i) = 8*i. What is g(o(s))?\nAnswer: 896*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291 - 146 + 135)*(4*b - b - 2*b).\nAnswer: 280*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-12) + -1*(-5)\/4. Let n(v) = -2*v - 2. Let m(o) = -3 + 3 + 4 - 3. Determine c*n(k) + m(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.7 (b) -0.5 (c) 3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 24*l**3 - 29*l**2 + 29*l - 46. What are the prime factors of d(10)?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - 2*i. What is the tens digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5 + 205*v**4 + 1155*v**3 - 145*v**2 - 3970*v + 2760 = 0.\nAnswer: -4, -3, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10445 - 9148 = -582*v + 22080 + 10645 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 2*m + m)*(0*m**3 + 6*m**3 + 0*m**3)*(-2 + 5 - 7) to the form g*m**3 + b*m**4 + a*m + d + n*m**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (10 - 7 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. What is the second derivative of 2*z**m - 4*z**3 - 6*z + 3*z**3 - 2*z**2 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -30\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 1, w: 1}. What is prob of sequence wh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 23, -1, 2, -5 in descending order.\nAnswer: 23, 6, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.74 + 7.96. Let z = 45 - h. Sort -0.4, z, 1\/2 in increasing order.\nAnswer: z, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 554 + 570 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 57*m - 10. Let k(s) = -38*s + 7. Let n(b) = 5*h(b) + 7*k(b). Let y = -62 - -66. Suppose -y*j + 7*j - 3 = 0. What is n(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*b = -91*b - 12. Let v be (2\/5)\/((b\/(-5))\/6). Suppose 2*u + 392 = v*y, 3*y + 4*u = 114 + 488. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -493 + 3452\/7. Which is the third biggest value? (a) -0.4 (b) -1\/17 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w. Let h(s) = -s**2 + 12. Determine h(b(u)).\nAnswer: -49*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -110, -3.4, 3, -6\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/218 - -827\/3270. Sort -2\/3, 2, h in descending order.\nAnswer: 2, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 25*r**2 + 5*r + 19. Let h = 9 - 6. Let t(s) = 24*s**2 - h*s + 18 + s - 7*s + 15*s. Let q(j) = 6*k(j) - 5*t(j). Differentiate q(m) wrt m.\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2 + -2)*(-9)\/18. Suppose 7*d - 214 + 193 = 0. Solve 4*y - 12 = -b, -f = d*y - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b - 11572 = -4180 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*j - 27, 0*a + 4*a + 29 = -3*j. Let b be (-2)\/a*(13 - 5). Solve -b*m - 2*u = 0, u = 2*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4869*h**3*l**2 + 2*h**2*l**2 - 3*h*l**2 + 14*h*l - 1 wrt h.\nAnswer: -29214*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963495321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1320)\/(-9) - 2\/3. Suppose 350*n - 91*n = -263*n + 76734. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(80) + 1))**2.\nAnswer: 288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 353 and 10943?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17958, 17957, 17946, 17919, 17870, 17793, 17682?\n\"Answer: -p**3 + p**2 + 3*p + 17955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 98 - 14 = 13*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 76 + 9 + -17 + -4 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -260 - -458. Suppose -w + 4*a = -60, 4*w - 12 = a + x. Suppose -w*c + 46*c = -708. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 30*s**2 + 390*s. Let v be w(-13). Solve 5*k - 8*x + 11*x - 16 = v, -4*x + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*b + 7 = -2*v, 5*b = -5*v - 10. Suppose -2*k = 2*n + 3*n + 15, -5*n - 30 = -k. Put -8, v, n in decreasing order.\nAnswer: v, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u + 3*u + 5*u**2 + 4 + 3. Let y be r(-5). Let t = -24 - -23.5. Which is the second smallest value? (a) t (b) y (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sporsyy. Give prob of picking 2 s, 1 p, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 91. Let g be (0 - -2 - -25) + 4\/b. Suppose 4*l - g = -15. Solve -4*m = o - 0 + l, -m - 3 = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 108766 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -158d27a + -3?\nAnswer: -158d27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose -14 = -4*l - 2, a*x + 2*l - 22 = 0. Suppose 3*c = -2*p + 27, 4*c - 5*p - 9 = x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*b = -5*t - 24, 6 = -4*t + 5*b. Let s be 4*((-8)\/(-2) + 1). Suppose -2*f = -6*f - s. Put -2, f, t in decreasing order.\nAnswer: -2, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 - 0.09. Let w(r) = 4*r + 64. Let z be w(-14). Suppose -4*k = 2*h - z, 5*h = -4*k + 2 - 6. Sort u, h, 5.\nAnswer: h, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2740, -8380, -16916, -28348, -42676, -59900, -80020?\nAnswer: -103036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 7:52 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 1\/3*y**3 + 0*y - 1\/5*y**5 + 37 - 1\/8*y**2 + 1\/16*y**4. Factor v(m).\nAnswer: -m*(m - 1)*(m + 1)*(4*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/((-11)\/(-1914)). Let l = k + -26. What is the remainder when 158 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 435470 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241 - -241.3. What is the second smallest value in v, -1\/11, -1\/8?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 44 = 2*h - 38, n - h - 37 = 0. Suppose 3*j - 16*j + n = 0. Solve -j - 24 = 5*s - 4*k, -6 = -2*s - 4*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 43 - (0 + -3 - -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 413?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 6*g**2 - 1\/12*g**4 + 14 + 1\/3*g**3 + 0*g. Let h(j) be the second derivative of b(j). Give h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015148 is divided by 1975.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24432233 (base 6) in base 12?\nAnswer: 318679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42321 and -3.5883795.\nAnswer: -42324.5883795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from zdayskadayay?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/87 and -91\/2.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -60*j**2 + 243 - j**3 - 344 + 145 - 78*j + 116 - 21*j**2 = 0.\nAnswer: -80, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032 - -231?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -164, -334, -504?\n\"Answer: -170*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -153?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 36.04758 grams?\nAnswer: 0.03604758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 11 = 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 159*k + 4882. What is r(-33)?\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25245904 and 1736.\nAnswer: 176721328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/240 - (-5)\/(-24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -39*l**5 + 5970*l**4 - 175779*l**3 + 1748940*l**2 - 6558900*l + 7434000 = 0.\nAnswer: 2, 5, 105\/13, 20, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Let l(t) be the third derivative of t**4\/4 + 7*t**2. What is 5*h(j) + 2*l(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73928 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(t - 5*t + 3*t) + 2*t - 2*t - 5*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-119)\/(-63) - (-6)\/54. Let i be 0*(0 + 1 - 0). Solve -2*w - 3 = 3*t, i*w = -y*w - 5*t - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = y - 11, y - 4*m = -6 + 1. Let l(r) be the second derivative of -r**3\/6 - 7*r**2\/2 - 4*r. Let u be l(-4). Put y, u, 0 in decreasing order.\nAnswer: y, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -432.8879 = 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -19*b**3\/6 + 11*b**2\/2 + 7*b. Let a(h) = -10*h + 6. Let z(r) = -11*a(r) + 6*w(r). Does 6 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329\/73 < 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -884.364.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -117*q + 709. Give o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249724873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - n**4 + 2*n**4 + (-n**2 - 3*n**2 + 5*n**2)*(13*n - 13*n - 9*n**2) in the form y*n**4 + i*n**2 + h*n + c*n**3 + q and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:04 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c + c**3)*(2*c - c + c) - 765*c**4 + 2181*c**2 - 2181*c**2 in the form q + a*c**3 + i*c + t*c**2 + k*c**4 and give k.\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -20\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.202 - -0.098. Let i = 103.2999333 - z. What is i rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 3*k**2 - 2 + 3 + (0*k - 9*k - 9*k)*(-3*k + 7*k - 3*k).\nAnswer: -16*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7975 and 2872450?\nAnswer: 31596950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus 0.197?\nAnswer: 19.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 2*j**3 + 2*j**3)*(-2 - 2 + 3) + j**3 - 5*j**3 + 5*j**3 + (-j**2 + j**2 + j**2)*(-1 - j + 1) + (-1 - j + 1)*(22*j - 22*j - 14*j**2).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 6*q - 11. Let j be (10 - -14)*3\/(-8). Determine k(j).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 + 29248540*x - 42773854606580 = 0. Calculate x.\nAnswer: 2924854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*w + 2*w**2 - 102*w - 97*w + 91 - 101*w.\nAnswer: 2*w**2 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6131 - -15133\/3. Let z = q - -2135\/2. Find the common denominator of (-69)\/48*-4*(-8)\/14 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1572718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 50, -19\/13, -12.9.\nAnswer: -12.9, -19\/13, -2\/15, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 25. Let s be h(0). Suppose 5 = -4*z + 13. Let x be (-13 - -3)*(-2)\/4. Solve -z*m - y + 5 = -0*m, -s = m - x*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1300699981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkuulkeketueukluelul. Give prob of sequence tek.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9098.\nAnswer: 2, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511582066 by 2.\nAnswer: 255791033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.9329 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/9 + 14*d**5\/15 - d**4\/6 - 14*d**3\/9 - 1777. Determine l, given that q(l) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n - 4. Calculate r(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5831762?\nAnswer: 2, 263, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713 is divided by 565?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 45. Let s be b(4). What is the highest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 13310?\nAnswer: -13315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -31.1. Let l = p - 0.1. Suppose 0 = -5*h + h + 8. Which is the nearest to h? (a) 0.3 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 211748.21?\nAnswer: 63524.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 37*b - 368. Solve b*c + 4 = -12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - m - 165. Give v(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - l + 0 + (4 + 2 - 5)*(2*l + 3 - 3) + 556 - 556 + 348*l.\nAnswer: 349*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 478 = -510. Let r(j) = -3*j**2 + 14*j - 24. Determine r(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167179?\nAnswer: 47, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. What is the units digit of 6\/(-3) + m\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*b**3\/3 - 446*b**2\/3 + 3893*b\/3 - 1156\/3.\nAnswer: (b - 17)**2*(13*b - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 4*q**2 + 5*q + 3. Let w be ((-3)\/6 - 14\/4)\/1. Is u(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1322 + -1326 - (-2 + 2 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1004210 (base 5) to base 10\nAnswer: -16180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -21*x**3 - 1293*x**2 + 570*x + 744 = 0.\nAnswer: -62, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2468061093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 120 = 5*l + 3*b, 0 = 3*l + 5*b + 122. Let o = -195 - -161. Let p = o - l. Solve -n = -2*n - p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1011 + 347.6011. Let o = 348 - s. Which is the third smallest value? (a) o (b) -1\/7 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 - -2352897\nAnswer: 2352779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 15*l - 3*l)*(-4 + 2 + 3).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 1924 = 1784 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/376 - -3753\/2632. Suppose -4 = -3*v + 5. Determine b, given that -l*b**2 + 0 + 4\/7*b - 2*b**v = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - -41 - (-18 - (-25 + 34)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1616 - 1592. Calculate the remainder when 1173 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9347.363 - -9353. Let h = a - 5.34. Round h to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 60. Solve 0 = 5*j + 5*m, x + 2 = 5*j + 4*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + sqrt(150) + (sqrt(150)*1*-4 - sqrt(150)) + sqrt(150))\/(3*sqrt(6)*-1))\/(sqrt(180) + 1*sqrt(180)*-2 - -5*(sqrt(180) - sqrt(180)*-2)).\nAnswer: sqrt(5)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*c - 10760, 8650 = 4*q - 334*c + 337*c. What is the highest common divisor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 37, 52, 67?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111622854 by 5.\nAnswer: -111622854\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19773 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: Convert 9253.413 minutes to seconds.\nAnswer: 555204.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022212221 - 22?\nAnswer: -2022220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 - -114952965331.\nAnswer: 114952965416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*p**3 + 163*p**3 + 1157*p**3.\nAnswer: 1725*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 530\/6 - (-1)\/(-3). Calculate the greatest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1025524 and 2307429?\nAnswer: 9229716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-25)\/(-12) + (-17 + 12 - -9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 3*s**4 + 0*s**2 + 3*s**4 - 12*s**4 + 8*s**4 + (6*s**2 - 3*s**2 - 4*s**2)*(0*s + 0*s + 3*s**2).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 + 14\/(-18). Let t = j + -28\/45. Let q = 2 + -2. Sort q, 0.2, t.\nAnswer: t, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c + 63. Find the common denominator of (-14)\/(-12)*(-55)\/c and 1278\/72*2\/10*-2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 - 2*n + 3*n**2 - 6*n**3 + 10*n**2 + 1 + 7*n**3 - 7*n**2 to p*n + t + y*n**3 + j*n**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 3. Let q be r(2). Let f = -1 - -2. Suppose -11 - f = -3*a. Solve -a*s + 5 + q = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 5 = 6*o. Suppose -2*x - o = 2. What is the fourth smallest value in -1, -2\/11, x, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*f*o**4 - 4273*f*o**2 + 2*f*o - 52*o**5 + 4*o**2 wrt o?\nAnswer: -456*f*o - 3120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**3 - k**2 - k - 6. Let d be p(3). Suppose -8*y - d = -3*y. Let r be (-15)\/(-180)*y\/4. What is the smallest value in r, 0.01, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4222*y + 215. Calculate h(0).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 13. Let u = 20 - 15. Let b(q) = q - 7. Let s(i) = u*b(i) + 2*h(i). Give s(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 652*p**2 + 5269*p. Let t(f) = -7*f. Determine t(s(n)).\nAnswer: -4564*n**2 - 36883*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-16)*(-4 + 12). Suppose i = s*i - 312. Calculate the greatest common factor of i and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + ((sqrt(180)*3 + sqrt(180))*1 - sqrt(180)) + sqrt(180) + -2 + -1)*-4)**2.\nAnswer: -6144*sqrt(5) + 47104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 12025*d. Let c(b) = -11*b**2. Calculate g(c(n)).\nAnswer: 242*n**4 - 132275*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2722, 2728, 2734, 2740, 2746, 2752?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4570 and 2285.\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9918, 9846, 9780, 9720, 9666, 9618?\n\"Answer: 3*q**2 - 81*q + 9996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 1. Suppose -5*v + 7 = 22. Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-84)\/9)\/((-11)\/(-33)). What is the highest common factor of 279 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 2*z**3 + 2*z**4 + 0*z**3 + (3*z**2 - 2*z**2 + 0*z**2)*(z**2 + 0*z**2 + z**2))*(3 + 2 - 4).\nAnswer: 4*z**4 - 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/384047 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(9\/(-58))*1113\/742.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 25. Let a be m(13). Is a != -2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76112 is divided by 19028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*w + 7836, -8*w = -10*w + 2*q + 7866. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 8. Let c be 0 + -2 - 9\/(-1). Calculate the remainder when 3 is divided by z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3133426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*i**3 - 2*i**2 + 12*i**3 + 2*i**2.\nAnswer: -131*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 8*q**3\/3 - 260. Let b(p) = 8*p**2 + 24. Let a(j) = j**2 + 2. Let m(i) = -48*a(i) + 4*b(i). What is y(m(k))?\nAnswer: 2048*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = 3*w - 253. Let n = 8 - -13. What is the remainder when n is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3179 + 3152 = -3*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let u be (-73)\/(-5) + (-2)\/(-5). Let p be -2 - 3\/((-9)\/u). Let j(k) = -p*k**2 + 6 - 6. Determine j(y(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 27*c**2 - 103*c - 30. What is x(-11)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - c = -3 - 19, 5*j = 3*c - 31. Suppose 2*u + p = 16, -5*u + 3*p + 5 = -24. Let h(o) = 3*o + o**2 + u + 8*o - 3*o + 0*o**2. Determine h(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + h + 0*h)*(-28*h - 17*h + 12*h) to the form s*h**2 + z + p*h and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -333, -342, -355?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303, 1, -4, 3, 2, -2.\nAnswer: -4, -2, 1, 2, 3, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359 + 65 - 141)*(2*c**2 - c**2 - 3*c**2) + c**2 + 3*c**2 - 6*c**2.\nAnswer: 868*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -109. Let g = -55 + b. Let o be (-2 - 2) + -7 + g + 1. Is 0 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37926 + 15560?\nAnswer: 53486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**4 - u**3 - 9*u**2 - 4*u - 4. Let c(o) = -2*o**2 - o. Let s be c(1). Let p(w) = w**4 + 10*w**2 + 4*w + 5. Let z(y) = s*p(y) - 4*v(y). Factor z(i).\nAnswer: (i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9622 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15925*k - 609967 + 52592 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -4, -2, 5, 0.02, 7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - 201. Let l = 221 + a. Factor 2\/3*k**2 + 1\/3*k**5 - k**3 + 0 + 0*k**l + 0*k.\nAnswer: k**2*(k - 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9930259 (b) -2\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 2:42 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2671*n**4\/4 + 13*n**3\/3 + 1772. Find the third derivative of f(d) wrt d.\nAnswer: 16026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = 2. Let x(g) = g - 1. Let r be x(b). Let l(o) = o. Let w(y) = -2*y**3 + 2*y**2 + 5*y. Calculate r*w(f) - 6*l(f).\nAnswer: -2*f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*27\/(-18)*(-352)\/(-528)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**3 + 79072*z**2 - 158128*z = 0?\nAnswer: 0, 2, 19766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120809867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 15, -14*p + 2*o = -13*p - 10. Let h(v) be the third derivative of 0*v**3 + 1\/3*v**p + 0 + v**2 + 0*v. Let y(s) = 3*s. Give y(h(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -122*x**2 - 1299*x - 1809 = 0.\nAnswer: -9, -201\/122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7884938 by 7884938.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 19*u**2 - 97*u + 12. Let r be w(-5). What is the highest common divisor of 105 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -6\/85 (b) -4 (c) -1\/3 (d) 3\/118 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -68284.14.\nAnswer: -68280.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -4. Let l = q + 10. Let p = 0 + l. Calculate the greatest common divisor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696640\/9 equal to 188517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 1.4. Let x = 5 - 4.1. Let y = p - x. Put -0.4, y, 2\/9 in increasing order.\nAnswer: -0.4, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -27. Suppose 0 = d - 3*d + q. Suppose r - 3*r + 5*h + 8 = 0, -h - d = -4*r. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/2436 and -62\/322161.\nAnswer: 1288644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150265872, 150265874, 150265876, 150265878, 150265880, 150265882?\n\"Answer: 2*r + 150265870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 9644247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -l + 27 - 12, 0 = f + 4*l - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/48 + 1\/3. Let x = 41 + -37. Suppose -x*b - 4*b = 0. Which is greater: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12998, -13546, -14074, -14582, -15070, -15538, -15986?\nAnswer: -16414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:16 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3620175846.00043 + 3619936552. Let t = m - -239242. Let w = 52 + t. Round w to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-26)\/w)**(-13\/5)\/(w*w\/(w*w*w**(-21\/4)*w)*w*w\/w**28*w))**(16\/5) assuming w is positive.\nAnswer: w**(7276\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76782 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47802 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (54 + -30)) + (2 - (-2 - -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urc when three letters picked without replacement from rurukuuucucuu?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*t*w**2 - 22*t*w - 7*t - w**3 wrt w?\nAnswer: -454*t - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106725 and 57.\nAnswer: 2027775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 139617577.\nAnswer: 41885273.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + 38. Let l be q(11). Suppose -l*t = -3*b + 18, 2*t + 1 = -5*b - 0. Calculate the lowest common multiple of 15 and (t + 0 - 110\/(-20))*14.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 4*p + 40 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -1. Let l be ((-931)\/84 - -11)*3*1. What is the second smallest value in d, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a**2 + 55*a**2 + 318*a**3 - 96*a**3 - 17*a**2 + 27*a**4 = 0. Calculate a.\nAnswer: -8, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 312. Let a(r) = -4*r. What is k(a(w))?\nAnswer: 48*w**2 + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1157, 1153, 1147, 1139, 1129?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214 in 3, -0.38, -2\/7, -3, -1.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 11. Suppose 5*w - 3360 = -5*z, -4*w = -8*w - r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.1953865.\nAnswer: -0.0390773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f - 1728 - 20*f**2 + 1729)*(-2*f + 0*f + 0*f + (3 + 0 - 4)*(-2*f + f + 2*f) + 0 + 0 - f + 3*f + 2*f - 2*f).\nAnswer: 20*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(1\/(-21)*1) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 41*d + 37 = 2*n - 64*d, 2*n + 2*d = 42 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 12798?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1340*s**2 + 376*s.\nAnswer: 2680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -21. Let i = n - 12. Suppose 8\/7 - 8\/7*a + 2\/7*a**i = 0. Calculate a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -47\/137?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2 - 10\/(-6)). Let z = j + 8. Let d = 1\/48 - -23\/48. Which is the closest to 0? (a) z (b) d (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59976676 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12596*b**5*k**2 - 2298*b**5 - 2185085*b*k**2 + 35*b*k wrt b.\nAnswer: 251920*b**3*k**2 - 45960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(3\/11)))\/((j**(9\/2)\/j*j)\/j))**13\/((((j\/(j\/(j**(-2)*j)))\/j)\/j**(-2\/13))\/(j**(2\/3))**(-1\/16)) assuming j is positive.\nAnswer: j**(-162131\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -10\/1810119 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-20*x + 5*x - 4*x) in the form n + i*x and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7021, 14042, 21063, 28084, 35105, 42126?\nAnswer: 49147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/6)\/((-42)\/(-63))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2458*n - 2462*n = 16, -5*n + 0 - 14 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 605\/807?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:15 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/9))\/f*f**(-6))\/(f**(2\/17)\/f**(1\/3))*(f\/f**(-1))**14*(f**(1\/4))**2 assuming f is positive.\nAnswer: f**(7019\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 3. Let r be p(2). Suppose s = -j + 1, 0 = -r*j - 3*s - s + 4. Let k(u) = -44*u - 85. Let c be k(-2). Put j, c, 5 in increasing order.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21539\/2024 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 4*z**2 + 13*z + 1. Let n be s(6). What is the highest common factor of 119 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000077951 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -1\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*u - 40, 0*r + 2*r = 3*u + 22. Solve -r*v = 1 + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 57*v**2 - 824*v + 768.\nAnswer: -(v - 32)*(v - 24)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 682*f**3 - 647*f**2 - 13119*f - 26.\nAnswer: 4092*f - 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/12 and -131\/2250.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 17, 5, 1 in descending order.\nAnswer: 17, 6, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.55 - -18.55. Which is the closest to -0.3? (a) 0.3 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 48. Solve 2*l + g = -6, 3*l + c = -l - 3*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 381868 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/9)*j*j)\/j*j*j**(-3)*j assuming j is positive.\nAnswer: j**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2182 - -2737. Calculate the highest common divisor of z and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from {m: 7, q: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 813652315 a multiple of 4656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 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: In base 11, what is -2a5803a2 - 4?\nAnswer: -2a5803a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 3 - 73*c + 71*c - 1 + 0. Calculate x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -86. Let t = -17 - -12. Let q(l) = -9*l**2 - 6*l - 6. Let s(p) = -9*p**2 - 5*p - 5. Let k(g) = n*s(g) + t*q(g). Let r(b) = -b. What is r(k(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s, -44 = -7*b + 3*b + 2*s. Suppose 5*w - b = 6. Suppose w*t - 114 = -0*t + 4*f, 38 = t + f. Is t greater than or equal to 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.7 + -3.7. Let u be 10\/45*6\/(-8). What is the smallest value in 7, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*o - 127*o = -5677386. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 64, -30, -8, 1 in increasing order.\nAnswer: -30, -8, 1, 64, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -13 - (4 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*s - 0*y + 10, -25 = -5*s + 5*y. Suppose 10*j + 102 - 142 = s. Solve -2*o + 11 = -n, -n - o = -0*o - j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12114435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 0.37. Suppose 2*m + 3*m = -5. Which is the nearest to m? (a) p (b) -1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 36*c + 9. Suppose 7*s = -s - 24. Let f be r(s). Let u = -14 - f. Round u to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-18) - 35\/3. Let p = -6 - j. Solve -2*n = -2 - p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*l = -50, 2*c + 0*c - 2*l = 0. What is the closest to 0 in c, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/103 - 251\/1545. Sort -0.2, -1, l, 5 in descending order.\nAnswer: 5, l, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.2 (c) 3.5 (d) 2\/5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - (3*sqrt(208)*-5)**2 - sqrt(208).\nAnswer: -46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c - 2*c + 127*c in the form j*c + s and give j.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -337238350.99999948 + 337238345. Let a = 1 - 7. Let n = d - a. Round n to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -3761, -1 in ascending order.\nAnswer: -3761, -34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -521 - -596. Let v(b) = 18*b - 5. Let q be v(4). Let n = p - q. Solve -4*o - 4*j = -7*j - 7, o - 4*j = -n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*z + 1 + 34, -14*z - 80 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 110 = -3*k, -k + 5*p + 8 = -22. What is the least common multiple of 90 and k?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.3. Let f be 1\/(-20) + (-2)\/10. Which is the biggest value? (a) -2\/11 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxqx when four letters picked without replacement from {g: 4, q: 4, j: 4, x: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-1 + sqrt(200) - sqrt(200)) - (5 + sqrt(200) + 1)) + -1 - (1 + (sqrt(200)*-1 + 4 - (-5 + -3*sqrt(200)))))**2.\nAnswer: 1380*sqrt(2) + 2329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 + 5*w**2 - 94*w + 281*w.\nAnswer: 24*w**2 + 187*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 74561708.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -0.4 (b) -6\/251 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -2668, -9035, -21432, -41869, -72356, -114903?\nAnswer: -171520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4128 + 4125. Sort d, -5, -955.\nAnswer: -955, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = 4*n. Let h(f) = 2*f - 2*f**2 + 2 + f**2 + 4. Let o be h(0). Solve -2*t - n*w = 2*t - o, 2*t = -4*w - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 - 3*i**2 + 2*i**2)*(-i**2 + 10*i**2 + 27*i**2) to j*i**3 + l*i**2 + f*i**4 + w + y*i and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 - -3939\/16. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -756*d**3\/13 + 208886*d**2\/13 - 63484*d\/13 + 1104\/13 = 0.\nAnswer: 1\/54, 2\/7, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16464, -16228, -15814, -15204, -14380?\n\"Answer: 3*m**3 + 71*m**2 + 2*m - 16540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209 - 114. Let p = -96 + w. What is the third smallest value in 0.3, -4, p, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1452, -22, -224.\nAnswer: -224, -22, 1452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, n: 3, b: 1, y: 6, o: 1}. Give prob of picking 1 b and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -10019.\nAnswer: -28\/10019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470092189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 17*w + 58. What is b(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 25*y**2 - 11*y - 16. Let a = -224 + 226. Let h(u) = -5*u**2 + 2*u + 3. Let t(o) = a*i(o) + 11*h(o). Let m(z) = 0*z - z + 0*z - z. Give t(m(f)).\nAnswer: -20*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) - 3*sqrt(500) - (sqrt(5) - (2*sqrt(35)\/sqrt(7))**2) - (-2 + sqrt(500)*3 + -3).\nAnswer: -51*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxnj when four letters picked without replacement from jxknkjxnnkxejxx?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 22 (c) -46 (d) 94888\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 10. Suppose 3*r = 4*v - 9, 0 = -3*v + 5*r + d + 2. Let j be 5\/3*1*v. Solve j = 3*i + 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 122*w + 12. Let a(j) = 24*j**2 + 1465*j + 150. Calculate -6*a(c) + 75*m(c).\nAnswer: 6*c**2 + 360*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -b + 1541, 0 = -3*b - y + 6*y + 4611. Let c = 2476 - b. Let o = -475 + c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 2144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, -10 in ascending order.\nAnswer: -10, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (214\/1070)\/((-1)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7178\/177449 or -1?\nAnswer: -7178\/177449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -19262900 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5845, -11689, -17533, -23377?\n\"Answer: -5844*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9695644417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/633221304 and 89\/102432858?\nAnswer: 6965434344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:13 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*t = -5*w - 4, -w + 2*t = 6. Suppose -139 + 1031 = w*l + 2*p, -5*p - 892 = -4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*b + 22, 11*b = q + 10*b - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.497 + -1.497. Is -288 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 3 - 12*q**2 + 4*q**3 + 2*q**2 - 6*q**3 as r*q**2 + k*q**3 + m + h*q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**3 + 2*b**2 - 5*b. Let a(w) = 7*w - 1 - 5*w**3 - 10*w + 7*w - 91*w**2 + 89*w**2. What is -5*a(v) - 4*d(v)?\nAnswer: v**3 + 2*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 639*q + 18614. What is b(-29)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, -5, 5, -27, -33?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.11126 + 0.05126. Let l = 41 + p. Is -2\/9 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-35)\/(-5) - 1). Suppose 10 = a - r. Calculate the remainder when 61 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -503, -495, -487, -479?\n\"Answer: 8*r - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2 + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - -3)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, r: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w*w*w*w*w**40))*w*w**(-20)*(w**2*w)**(-2\/35) assuming w is positive.\nAnswer: w**(904\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/(a\/(a*a\/a**(8\/7)))*a)*a)\/(a*a*a**(-5\/11)*a) assuming a is positive.\nAnswer: a**(-185\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/6 - 3\/2. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 29. Let r be i(-5). Suppose 21*o - r*o = 31236. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 17*x**2 + 38*x + 2. Let w be u(-19). Suppose -5*y + 392 = 4*f, -y + 2*f + 222 = w*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*60.3\nAnswer: -361.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238846 and 28786.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -6\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571155 is divided by 120834.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 6ce?\nAnswer: 6c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/20*-16 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -1070, -2694, -5630, -10316?\nAnswer: -17190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-735)\/150)\/(-49))\/(36\/1080)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 - 1130*h**2 + 6280*h + 7. Let g(o) = 2*o**3 - 569*o**2 + 3141*o + 4. Let r(l) = 7*g(l) - 4*x(l). What is the second derivative of r(t) wrt t?\nAnswer: -12*t + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41552 divided by 53?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u. Let j be p(0). Let q = 94 - 68. Suppose -o + q - 9 = j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - sqrt(228)*1)*-4)\/((-1*sqrt(132))\/sqrt(11)))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2590723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -75 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169353 equal to 169372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1554 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83156.\nAnswer: 2, 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15838 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686737, 1373476, 2060215?\nAnswer: 2746954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*c + 603. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 1 + 2 + 5 + 5 - 8 + 4 + 1 - 4 + (1 - 2 - 1)*(-1 + 3 + 0))*(i + 18 + 44 + i) as o*i + r and give r.\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 smaller than 2\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 - 5*w + 5. Let z(p) = -10*p**3 + 4*p + 3. Let i(m) = 3*m**3 - m - 1. Let j(a) = -7*i(a) - 2*z(a). Calculate -5*j(d) + t(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/2 - 984*m + 342575\/2 = 0?\nAnswer: 193, 1775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -1110, -2562, -4668, -7470?\nAnswer: -11010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2488.2 + -2488. Suppose 14 = -i + 7*s - 3*s, 5*i - 2*s = 2. What is the third biggest value in a, 3, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c. Suppose -8*l - 15 = -159. What is the remainder when 34 - 4\/(-8)*c is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 5*h - 2. What is the remainder when t(2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-233)\/(-3) + (-11)\/(-33). Let l = -64 + h. What is the highest common divisor of l and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*-3)\/sqrt(7) - (-5*(-2 + sqrt(176)) - sqrt(176))**2.\nAnswer: -6436 + 486*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = -2*x + 8, -1 = x - 3*a. Suppose 2*w + 10 = 7*w. Suppose 0 = -4*r - 4*n - 20, 10 = -w*r - r - x*n. Which is greater: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {g: 1, f: 7, l: 2, a: 1, n: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19bd (base 14) in base 7?\nAnswer: 16426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kenklykkly. Give prob of picking 2 k and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1213, -2434, -3655, -4876, -6097, -7318?\n\"Answer: -1221*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5. Let w(z) be the third derivative of z**4\/12 - z**3\/3 + 5*z**2. What is w(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 27. Let b = -62 + 70. Let m be i(b). Suppose 3*u - m*x - 108 = -8*x, 3*u = x + 112. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -517 in 6, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(220\/48))\/(53\/(18020\/(-153)))\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) -1 (c) -182 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x - 48*x - 42*x + 125*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -5\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19798 divided by 2660\nAnswer: 521\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 - 11*t. Let j(i) = -44 + 44 - 2*i**2 - 6*i. What is 3*d(k) - 5*j(k)?\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*j**2*s - j**2 - j*s**2 - 18717*s**2 - 503224 wrt s.\nAnswer: 12*j**2 - 2*j*s - 37434*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**4 - 22*g**3 - 54*g**2 - 46*g - 14. Let n(i) = -i**4 - 21*i**3 - 55*i**2 - 45*i - 13. Let v(y) = -3*k(y) + 2*n(y). Factor v(x).\nAnswer: 4*(x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/23 - 4905901\/(-253)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/43, -2\/9, -0.1, 5, 3 in ascending order.\nAnswer: -2\/9, -0.1, 3\/43, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g - 1. Let t be p(-2). Let f = 1\/4842 + 9527\/760194. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*i**4 - 6*i**4 - 5*i**4)*(-4 + 4 - i) - 7*i**5 + 11*i**5 - 17*i**5.\nAnswer: 13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 16) to base 5.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 277, 285, 295, 307, 321, 337?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 417954.4175 to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -6\/3440843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let r = 0.04363 + -0.54363. Which is the nearest to -7? (a) 3 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1863 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -859, -858, -857, -856, -855, -854?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 4277088.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 3. Let o(j) = 6*j - 14. Let p(k) = -12*k + 29. Let b(i) = 5*o(i) + 3*p(i). Let h be b(16). Let u = 77 + h. Give f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 254210520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u - 56*u + 24*u.\nAnswer: -114*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 1110?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(243) - sqrt(243))**2 + -3 - (-4 + 4 + sqrt(243)*-2 + sqrt(243))**2.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 11*u + 24. Let a be t(-9). Suppose a*i - 3*i - 375 = 0. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from qffqfqqqqqqnqqqq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 0.02 (b) -1\/3 (c) -2 (d) 34 (e) 3\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + z - 7, -4*y + 3*z = -6 - 1. Suppose -y*d + 0*d = -80. Calculate the remainder when -38*(-2 + -1 + 2) is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -23, -32, -39?\n\"Answer: a**2 - 14*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*w**3 + w + 1 - 2 + 16*w**2 + 2*w**3 - 3*w**2 to the form a*w**2 + s + x*w + f*w**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/2*(72 - (-34368)\/(-480)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + sqrt(220)*-2*-6)\/(sqrt(15)\/(sqrt(24)\/sqrt(8)))*-1.\nAnswer: -26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - m = -3 - 0, 3*g - 9 = -3*m. Suppose -4*k + g + 24 = 0. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -27*r - 46*r. Solve r*z = -5*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b - 4*b + 0*b - 6*b. Let v(q) = 6*q + 11 + 7*q - 9*q + 0. Determine v(d(p)).\nAnswer: -8*p + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 5)*(5 - 5 + 4) - 1 + 3 - 4)*(3 + h - 3)*(-3*h + 2*h + 3*h).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**10*g**(-34))\/(g\/(((g*g**17\/g*g)\/g)\/g))**(5\/11) assuming g is positive.\nAnswer: g**(-178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n**2 - n**2 + 2*n**2)*(2 - 2 + 3)*(0*n**2 - n**2 - n**2) to d + f*n**4 + t*n**3 + v*n**2 + b*n and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhhhhhhhw. Give prob of sequence whhw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*g - 38 = 2*l, -l - 5 = -4*g. Let i be -6*(9\/(-63) - l\/14). Is -50 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 + 3009*l**2 - 3018027*l + 1009027027 = 0. Calculate l.\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 3. Let d = k - -8. Let b be ((0 - d) + 2)\/(-2). Which is greater: -2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0344 - 295.0344. Let m = t - -295.003587. Round m to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 8 = 5*t. Let a(s) = s**2 - 6*s + 1. Let o be a(t). Is (o*42)\/(-3) - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 505.999363 - 506. What is a rounded to five decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 37*s + 4. Let d(f) = -5*f**2 + 46*f + 6. Determine 3*d(m) - 4*h(m).\nAnswer: 5*m**2 - 10*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.91 - -0.11. Let m = f + 1.8. Let r = 390 - 379. Which is the smallest value? (a) r (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*k**3*z**2 - 508*k**3 - k*z**3 + 2*z wrt z?\nAnswer: -36*k**3*z - 3*k*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2\/2 + 8*s - 1. What is the units digit of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 213290.\nAnswer: 4692380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25907*l**3 + 46696*l**2 wrt l.\nAnswer: 155442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 568\/225*-1 - 5346\/(-2187)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 minus 41967884?\nAnswer: -41967590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 0 - (417 + -401).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -211003?\nAnswer: 211003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 2*k = -3*u - 3, 5*u - 2*k - 21 = 0. Find the second derivative of -128*z + 28187*z**4 + 5*z**3 - 3*z**u - 28328*z**4 wrt z.\nAnswer: -1692*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 + 203.4405?\nAnswer: 1837.4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 38*m - 2. Suppose c + 4*j = -3*c + 8, -2*c + 3 = j. Let l be w(c). Suppose 0 = -7*n + 5*n + l. Calculate the remainder when 69 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -11 (c) 20.8 (d) -5 (e) 0.5 (f) 1\/70\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-14 - -8) - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4*(-3)\/36*(-12)\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 12*m - 7. Let x(g) = -11*g**2 - 25*g + 15. Let p(z) = -13*d(z) - 6*x(z). What is the lowest common multiple of p(7) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598776 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -335, -1113, -2333, -3977, -6027?\n\"Answer: 3*l**3 - 239*l**2 - 82*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -5\/2 (b) 1\/8 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70436742, 140873486, 211310228, 281746968, 352183706, 422620442?\nAnswer: 493057176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -610*o + 51. Let d be v(-17). Suppose 3*c + 4*f = 15266, -5*f + 35866 = 5*c + d. What is c rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4\/7 + 595989*f**3\/7 - 29590404408*f**2\/7 - 977132485296*f\/7 = 0.\nAnswer: -33, 0, 99348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 2*k**2 + 2*k + 2. Let j be s(0). Let i(w) = w**2 + 2 + 46*w - 40*w + 1 + 0*w**j. Calculate i(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -22, 13, 48?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 10 + 2 - (-3 + 1 - -10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 809.7535mg?\nAnswer: 809753500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 = -23. Let l be f\/(-2) + (-153)\/90. Suppose 0 = -4*q - 4 - 8. Which is bigger: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, x: 3}. What is prob of sequence xkxk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 12 = -42. Let m be 167\/4 + -1 + h\/4. Suppose 12 = -3*u, 2*y - 4*u = -0*y + m. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 1023 (c) -3 (d) -3\/7 (e) 0.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p = -58*p, p + 30 = 10*z + p + p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/7 - 33*r**3\/7 - 3*r**2\/7 + 33*r\/7.\nAnswer: 3*r*(r - 11)*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -59. Suppose -2*m + 6 = 4*w - v, -2 = -2*w. Factor -4\/9*c + 0 + 2\/9*c**m.\nAnswer: 2*c*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 853700 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*o + 108, -43 = -2*k - o + 44. Suppose -k = -5*u - 11. Let j(x) = 13*x**2 - 5*x - 19. Is j(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.408 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28120 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -2\/3, 39\/25, -3\/2, -1.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10951 is divided by 993?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = -85*u + 33*u + 2887305. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y**2 + 20*y**2 - 55*y**2 + (2 - 1 - 3)*(-5*y**2 + 2*y**2 + 4*y**2) - 1 + 1 + y**2)*(-2*y - y - 3 + 5).\nAnswer: 162*y**3 - 108*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*m + 3 - 35 = 0, 21 = 3*z + 3*m. Let r be ((-13)\/(-3))\/(3\/z). What is the tens digit of 262\/r - (-8)\/(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*o**3 + 92*o**3 + 54*o - 20*o**4 - 180*o**3 wrt o.\nAnswer: -240*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(25\/4))\/(9*(-56)\/(-180)). What is the nearest to 1 in f, -0.056, 13?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371418 a multiple of 2036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -175*l**5 + 242755*l**4 - 526185*l**3 - 159655*l**2 + 526360*l - 83100 = 0.\nAnswer: -1, 6\/35, 1, 2, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 531325 (base 6) to base 2\nAnswer: 1010100001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371 is divided by 196.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 (base 6) in base 5?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 68*c**2 + 66*c - 133. Is i(-62) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38210*u + 41689*u = 302673 for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 6*d - 9. Let r(x) = 4*x**2 + 6*x + 7. Determine -3*q(y) - 4*r(y).\nAnswer: -4*y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2190 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161149 and 9?\nAnswer: 1450341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 30 + 214. Does 22 divide ((-23)\/l)\/(2\/(-528))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -688 - -688. Let o(u) = u**2 - 6*u - 44. Let f be o(0). What is the nearest to n in 1\/3, 4, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/6 - 8*d**2. Let a(o) = -2*o. Let i(u) = -9*a(u) - 4*b(u). Let h(c) = -5*c**2 - 3*c**2 + 6*c**2. Determine h(i(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 2 x when four letters picked without replacement from xqwqqtwwtxwwzwxwc.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2496840 or 2496837?\nAnswer: 2496837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42.25, 2, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8477023, 8477020, 8477015, 8477008?\nAnswer: 8476999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -49*u**5 + 4147584*u**4 - 954363841*u**3 + 55246717386*u**2 - 31336217980*u + 4465500600 = 0.\nAnswer: 2\/7, 115, 84414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8534 (base 16) to base 5\nAnswer: -2042400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 35*w - 808. Give k(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7999*f - 7181 with respect to f.\nAnswer: 7999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12798451 is divided by 2559689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/48)\/((-708)\/18).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-12) + 1\/4)*(4767 + -56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4752?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 38*v - 210 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -2, 6, -1, 1, 147, 0 in decreasing order.\nAnswer: 147, 57, 6, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -1\/2, -0.3, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 59933*a - 59933*a + 2*a**2 + 35*a**4 to the form j*a**3 + k*a**4 + l*a**2 + s*a + y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 304 = 4*h + 4*o, -5*h - 374 = -4*o. Let u = 68 - h. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/17 + 10*k**2\/17 - 2*k - 42\/17.\nAnswer: 2*(k - 3)*(k + 1)*(k + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60800 is divided by 202.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122410121 + -10?\nAnswer: -122410131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34800.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01419 and -145037.\nAnswer: -145037.01419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = 92. Let x be 1 + (-998)\/(-8) + 30\/(-40). Suppose l + p = 6*l + x, -3*l - 5*p = 47. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 51912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from xgxxmmxmmg.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u + 1. Let i(f) = -9*f + 3. Let j(c) = -27*c + 8. Let o(z) = 11*i(z) - 4*j(z). What is 6*o(m) - 7*r(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**4 - 24*i**3 - 42*i**2 + 24*i + 45 = 0.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 645595 or 645596?\nAnswer: 645595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + 0.02. Let g = -16 + 14. Which is the second smallest value? (a) -5 (b) g (c) i (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 3*k**2 - 5*k - 2. Let f be t(-4). Let s be 2\/(0 + f) + 1. Solve s*z + 5 = 3*j - 10, -2*j = 5*z + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**2 + 5*m - 1. Let i(s) = 40*s**2 + 26*s - 5. Suppose -4*l - 5*a + 32 = 0, 21*l - 28 = 19*l - 4*a. Give l*i(v) + 11*b(v).\nAnswer: 8*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.052 + -60.052. Let r = h - -74.3. Let p = r - 30.5. What is p rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53.3 and -46.2394314.\nAnswer: -99.5394314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) + (12\/42)\/(2808\/(-840))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcnxccnxkcxcfl. Give prob of sequence cl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 1368149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 3*i - 412828 + 412841, g + 3*i - 11 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/1)\/(-3*16\/(-24)*1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s\/s**(-1\/3)*s**6)\/((s**3*s\/s**(-2))\/((s*s**(-3)*s)\/(s*(s**(-1\/3)\/s)\/s))) assuming s is positive.\nAnswer: s**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537 + 2957 - 2*c**3 + 9218*c + 3*c**3 - 9217*c - 12.\nAnswer: c**3 + c + 2408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*1*sqrt(567) + 3*(sqrt(567) + 1)) + -4)*-1*-5*-4*4.\nAnswer: -10080*sqrt(7) - 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11884, 47591, 107104, 190423, 297548, 428479, 583216?\nAnswer: 761759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnwn when four letters picked without replacement from {o: 1, n: 2, i: 1, h: 1, w: 2, a: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 6:57 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101 + -10?\nAnswer: 10100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - w + (3 + 2 - 1)*(-2*w + 3*w - 2*w) to r + f*w and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v = -9*v - 60. What is the fourth smallest value in v, -3, 1\/9, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 - 58392*s**2 + 466844*s + 525240 = 0.\nAnswer: -1, 9, 14590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 1\/42*b**4 + 0 + 2\/35*b**5 + b + 0*b**2 - 1\/35*b**6 - 2\/21*b**3. Determine k, given that h(k) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 188*v - 19 + 53 - 24 to l + r*v and give r.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 10*r**2 - 29*r - 11. Determine t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 383696*q - 9201413776.\nAnswer: -4*(q - 47962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 1. Let v be g(3). Let a be (v\/8)\/((-1)\/(-2)). What is the least common multiple of 8 and 1\/(a*(-1 + 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13626 = 1269*r + 7479 + 942 - 474 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/20 + 5*p**4\/12 + 13*p**3\/6 + 7*p**2\/2 - 8*p - 4. Solve n(j) = 0 for j.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/300622 and 63\/1576?\nAnswer: 1202488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:20 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t**2 - 29*t**2 - 50*t**2 + 22*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*h + 5*a + 2, 2*a - 4 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -12320\/66547 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*w - 31 = 26, -5*w = q + 56. Let n = q - -87. Calculate the smallest common multiple of n and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -19*m - 2. Let f(n) = 22*n + 3. Calculate -5*f(p) - 6*k(p).\nAnswer: 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -13. Let a be ((-2)\/(-6))\/(r\/21). What is the third derivative of 4*l**4 - 2*l**2 + a - 7 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*j + 6*h + 6 = -373*j, 2*h + h = -3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46660 divided by 11665?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - f**2 - 1. Let x be z(-2). Suppose 13*v - 5*g - 5 = 12*v, 4*v - g - 39 = 0. Is x >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 15 + -10 - 20 - -27\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:06 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 720052332 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829, 429, -391, -1841, -4131, -7471, -12071, -18141?\nAnswer: -25891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151536*w**3 + 28129*w**2?\nAnswer: 909216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*s - 14 = 0, 44*s + 2 = -4*a + 46*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 28515\nAnswer: 142575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 2 (b) -1\/25 (c) -43\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6))\/(6\/176). Let l = -222\/5 + s. Let g = 0.2 + -0.3. Put -5, l, g in ascending order.\nAnswer: -5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + sqrt(7) + sqrt(112)*1)**2*-4.\nAnswer: -799 - 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350344.4324 rounded to the nearest 1000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 9 + 1. Suppose -l*b + 10 + 0 = 0. Let j be 14 + -10 - (5 + -1). Solve j*q - 2*q + b*z = -17, -3*q - 3*z = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - ((9 - -12) + -6 + -26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 9.14.\nAnswer: 27.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 251343 = -4*o, 93*o - 95*o - 1005400 = -4*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 2, m: 4, v: 4, g: 2}. Give prob of sequence mmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/37)\/y*y)\/y)**(-4)\/((y\/((y\/y**(-4\/7)*y*y)\/y))\/(y*((((y*y**32)\/y)\/y)\/y*y)\/y)) assuming y is positive.\nAnswer: y**(8380\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/72 + (-305)\/(-6). Suppose 19*y - 22*y = -r. Which is bigger: y or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 4*l - 31 - 2*l - 40 - 34 to u*l + n*l**3 + s + v*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-147)*(1 + 2)*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7\/v**(-2\/25))**(4\/17))**(-34) assuming v is positive.\nAnswer: v**(-1416\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 51\/589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**5\/y*y)*y**0)\/(y\/(y*y\/(y*y*y\/(y*y\/(y*y**(-4)))))*y\/y**(-5)*y) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 1 - (-2 + -2). Suppose 92 = i*j - 7*j. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -27, -69, -127, -201, -291?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/9 + 8*j**4\/3 + 236*j**3\/9 + 184*j**2\/3 + 38*j = 0.\nAnswer: -3, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - 0 - -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.2375 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(48)\/sqrt(4)))\/(sqrt(3) - (sqrt(36) + (sqrt(36)*2 - sqrt(36)))\/sqrt(12)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 5, -3.8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -67*b - 25. What is the least common multiple of 92 and v(-1)?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 305. Let h(c) = 8*c**2 - 10. Let l be h(-14). What is the highest common divisor of l and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + (-8 + 3)*(-9)\/15. What is the highest common factor of 377 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 34, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 12. Let g be k(-4). Let m be (8\/g)\/(-1 + 282\/284). Let c = m - 28. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-112))\/(0 + 6\/(-7))*68.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*0\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -23 + 4*r**2 - 5*r**3 - 8*r + 2*r**2 + 11 + 18. Let w(f) = f**3 - f**2 - 1. Determine a(j) + 6*w(j).\nAnswer: j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1489111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35983*2501\nAnswer: -89993483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 5*u. Suppose y = -4*q + 11, -3*y + q - 6 + u = 0. Sort 2, 6, y in descending order.\nAnswer: 6, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26198073*b**5 + 25933446*b**4 - 263736*b**3 + 890*b**2 - b.\nAnswer: b*(b + 1)*(297*b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 5. Let u(z) = -1. Give o(a) + 6*u(a).\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22851027, 22851013, 22851001, 22850991, 22850983?\nAnswer: 22850977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a + 97. Determine k(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 29716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 1, c: 1, w: 1, u: 1, t: 1}. What is prob of picking 1 l, 1 w, and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31233 (base 4) to base 13\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45314?\nAnswer: 2, 139, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166 and 180622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -208?\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**2 - 3\/5*d**5 - 11\/30*d**6 - 3*d + 0*d**4 + 0*d**3 + 0. Find the third derivative of g(o) wrt o.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - -81. Let h be s\/885 + 392704\/(-30). Round h to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.827 equal to 272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*j**3 - 102*j**2 + 102*j**2)*(5 - 5 - j + 3*j**2).\nAnswer: 342*j**5 - 114*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/135 and 113\/6732?\nAnswer: 100980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37701*d**3*p - d**3 + 33828*d**2 wrt p.\nAnswer: 37701*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7619.624 weeks?\nAnswer: 76805809.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 91 (b) 10\/9 (c) 0 (d) 0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (7 - 4) + -3. Suppose 7*r - 623 + 49 = k. What is the remainder when r is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 + 107*y - 38. Give g(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16*(-36)\/(-1032)*(-21)\/18. Let h = 103\/172 - x. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -360*t**3 + 81*t + 81. Let c(q) = -9*q**3 + 2*q + 2. Calculate -81*c(u) + 2*s(u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*k + 3*i, -1625 = 4*k - 4*i - 1589 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1170068700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9127800 rounded to the nearest 10000?\nAnswer: -9130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4, -1\/6, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.044612 times 11.41\nAnswer: 0.50902292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.9. Let r = 5 - 5.12. Let t = 3.12 + r. Which is the closest to -1\/5? (a) i (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.094 + 2.494. What is the closest to 0.2 in 4\/7, 5, w, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 19, 39, 79, 145, 243, 379?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 8*i**3\/3 - 2*i**2 + 35*i. What is the tens digit of c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/24 + 5*r**3\/6 + 4*r**2. Let g be (-27)\/(-6) - (-1)\/(-2). Suppose 5*d - x - 9 = 15, -4*x - g = 3*d. What is f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 182655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 + 2 = d, -d - 14 = -5*h. Let i be (4\/(-2) + h)*(-4)\/56. What is the second biggest value in 4, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2\/2 - s - 42. Let j be x(3). Suppose j*r + 66 = 52. Let y(o) = o**2 + 3*o - 9. Determine y(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) 2\/7 (c) -3 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 1. Let f = -4 + 3. Let j = -2 + f. Sort j, 0.5, x.\nAnswer: j, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62.54427 decades?\nAnswer: 7505.3124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26304 divided by -2192\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20494 + -20492. What is the closest to 1\/4 in r, -7, 1.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, n: 1, e: 1, c: 1}. What is prob of picking 1 k and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11821698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000179583516 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9127 != -13041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 = -y - 2*y, 4*g + 4*y = 0. Let p be (-2)\/(-3) - (-10)\/g. Solve p*v + 2*u = 0, -3*u + 4 = -0*v + 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.942 + -2. Let u = 0.0579971 + a. What is u rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.650073us?\nAnswer: 0.000002650073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8 plus 3.1758?\nAnswer: 8.9758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411004 is divided by 863.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2827728026 and 18.\nAnswer: -2827728008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-10))\/((-4)\/10). Let d be 4\/(t + 4) + 10. Suppose n + a = 0, -2*a + d = 5*n - a. Solve 2*i + 5*r = 7, 0*i = n*i - 5*r + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - ((-283159)\/7 + (-42)\/(-147)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**4 - 113*r**3 - 775*r**2 - 686*r - 10. Let o(f) = 56*f**3 + 388*f**2 + 342*f + 4. Let m(b) = 2*j(b) + 5*o(b). Solve m(z) = 0 for z.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvhhhhhhhhvvvhhvh. What is prob of sequence hh?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-60)*-2*(-57)\/(-19)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20280 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -5)\/((-2)\/(-4)). Suppose -u - 2*h + c = -3*u, 0 = u - 2*h + 7. What is the second smallest value in 1\/6, 0.3, u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-21))\/((-3612)\/(-10535)*(-5)\/2)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1678 divide 163694523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 5900*u + 11816 = 0. Calculate u.\nAnswer: -1477, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9219291.\nAnswer: 3, 283, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -62, -180, -408, -782?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1206e + 6?\nAnswer: -12068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -341 in increasing order.\nAnswer: -341, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*l + 2175, 3*a + 2*a = 4*l + 2130. Suppose 5*n = a + 30. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**3 - 6*y**2 + 12*y - 5. Let t(x) = x**3 + x**2 + 1. What is -f(r) - 6*t(r)?\nAnswer: 2*r**3 - 12*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = -1 - 62 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 13 - 3 = 0. Is (-254)\/u*(3\/(-3) - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -18555175.\nAnswer: -18555174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*b + 233*b = -223*b - 274*b - 4187 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/4 + 170723*o\/2 - 29146342729\/4 = 0. What is o?\nAnswer: 170723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4 + (1 - 4 + 1)*(3 - 3 - 12))*(y**2 - y**2 - y**2)*(3*y**2 - y**2 + 0*y**2).\nAnswer: -44*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2849 divided by 2910.\nAnswer: 2849\/2910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 + 5 - 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * 2875521.\nAnswer: -327809394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -667.3335.\nAnswer: -133.4667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2 + 3*f**2 + f - 4*f**2. Let k(r) = -r**2 - 9*r + 21. Let s be k(-11). Give o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3627135 to two decimal places.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928385933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 327*a - 396*a - 3 as c*a + p and give c.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -2179949?\nAnswer: 2179949.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 11:36 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1 - -8)*2\/2664*-18.\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335*n = -3118*n - 12419 + 3023 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ugouuuzgzj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 - 3*m**2 + 3*m - 53. Let i(l) = -11*l**3 - 8*l**2 + 8*l - 160. Determine 3*i(q) - 8*u(q).\nAnswer: -q**3 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**8\/84 - 2*p**7\/175 - 17*p**6\/150 + 19*p**5\/75 - 8*p**3\/15 + 6*p**2. Suppose v(s) = 0. Calculate s.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 10*m**2 + 140*m - 27. Let s be b(-8). Solve -3*r - 2*t = 12, -3*r - s*t = -5 + 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {e: 6, x: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:09 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*t + 3*s + 10 = -157*t, 0 = 188*t + 5*s - 356 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 74*l**2 - l + 34. What is q(37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.50397 - -0.5.\nAnswer: 2.00397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7477.\nAnswer: 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - b + 264, 3*s - 49 = 2*s + 4*b. Suppose 13*l = -s + 156. Suppose -17 - 235 = -l*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79220.85 to the nearest one hundred.\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355*p**3*t**3 + p**3*t - 4*p**3 - 17 with respect to t.\nAnswer: -1065*p**3*t**2 + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -1, 5, -2, -13 in decreasing order.\nAnswer: 5, 0.13, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 0.4 (c) 136 (d) 0.0301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-3 + 1 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 310*n - 310*n + 0*n**2 - 33*n**2. Let u(d) = 3*d. Calculate u(a(t)).\nAnswer: -99*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 12*c - 30. Let j be g(9). Let s(z) = -14*z**3 + 3*z**2 - 3*z + 4. What is the hundreds digit of s(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 4. Let r = -3064 - -3062. Let a be 0 + i*r\/(-3)*3. Let c(z) = -z + 6. Determine c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 - 9*w**5\/20 + 5*w**4\/4 + 25*w**3\/3 + 25*w**2. Is 31 a factor of m(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20164373 + 1\nAnswer: -20164372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33252, -132995, -299234, -531969, -831200?\n\"Answer: -33248*t**2 + t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -0*u + 3*u - 2, -10 = -y + 3*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -40399 < -43874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152734012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + 10 + -10 - (0 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12054753*d**4 - 486*d + 26915.\nAnswer: -144657036*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -967844.135 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/369222 and -79\/369222.\nAnswer: 369222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*t - 7 = 2*d, -d - 5*t = -23. Suppose -m - 29 = 4*k, 5*k = -2*m + d*k - 28. List the prime factors of (-32)\/(-12)*m\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/66*420\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -553*v**5 + 9*v + 1 wrt v.\nAnswer: -11060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = -a + 2*d, -2*a - 2*d = -12. Let k(g) = g**3 - 5*g**2 + g - 1. Let t be k(a). Solve 3*y + t = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/(-36) - 2)*-16. Suppose -5*m = -t - 6003, 7*t = 5*m + j*t - 5999. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.0415, 3 in decreasing order.\nAnswer: 3, -0.0415, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -36. Suppose -r = h - 4. Suppose 4*j = 4*t + 32, h*j + 0*j = -4*t - 8. Solve -j*d = -d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/(-96) - (-1)\/(-3). Let d = z + 5\/16. Which is smaller: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qljelwy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.59 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 + 43 = 14*s. Suppose 0 = -3*c + 7 + 20. Calculate the smallest common multiple of c and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 8952?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 2*g. Let q(k) = 3*k**2. Let y(a) = 8*a**2. Let p(f) = 14*q(f) - 5*y(f). Give p(j(r)).\nAnswer: 128*r**4 - 64*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 12) in base 7?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57 * 0.0392\nAnswer: 2.2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -47 + 8 + -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {j: 1, h: 2, e: 2, q: 4, t: 1, z: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.325663746 and 3.\nAnswer: 2.674336254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 122487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*8\/(-360))\/(2\/10)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*12\/(-56)*238\/(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206 - -240. Let j = y + -33. Sort j, 13, 0 in ascending order.\nAnswer: 0, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-555)\/(-222)*(-6194)\/(-5). What is the highest common divisor of l and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*p**3 + 4*d**2*t**3 - 2*d*p**3*t**2 - 24*d*p**3*t - 132*p**3*t**3 wrt t.\nAnswer: 24*d**2 - 792*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m - 26. Let g(d) = 4*d - 9. Determine 17*g(j) - 6*w(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqmuvmkv. What is prob of picking 1 q, 1 k, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133302 - 3014?\nAnswer: -141321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 4\/5, 87.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45387*i + 9068*i + 9082*i + 9069*i + 9075*i + 9075*i + 3.\nAnswer: -18*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93, -190, -287?\n\"Answer: -97*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 627, -39, 92.\nAnswer: -39, 92, 627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = 3*s, -7*s + 40 = -2*k - 2*s. What is k rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-44)\/1078)\/(198\/77)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-63))\/(23\/(-161))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 31*q - 218. Let b be w(7). Sort b, 4, 42, 6 in descending order.\nAnswer: 42, 6, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20614, -0.4, 5, 3, -4, -39, -5.\nAnswer: -39, -5, -4, -0.4, 3, 5, 20614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.3541.\nAnswer: 0.03541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 1290575660*t + 83279276709221780 = 0.\nAnswer: 129057566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113693, 227379, 341063, 454745?\nAnswer: 568425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.61 - 4.61. Let z = -0.38 + -0.12. Which is the second smallest value? (a) m (b) 1 (c) z (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-4)\/12*93. Let w = o + -156. Let z = w + 222. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201181284?\nAnswer: 2, 3, 37, 73, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**2 + 4*v - 4. Let x be m(1). Let a = 0.14 + -0.126. Let d = a + -0.114. Does x = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1 + 5. Let q(g) = u - g + 3*g + 3*g. Let n = 48 + -31. Let v(k) = -14*k - 17. Calculate n*q(w) + 6*v(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -25*z + 19. Calculate w(7).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4239.795113 rounded to 1 dp?\nAnswer: 4239.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -6\/7, -2\/13, 36, -0.7, 2, -1, 8\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j**3 - 12*j**3 + 29*j**2 - 9*j**3)*(j + 2 - 2)*(-1 + 1 - 1).\nAnswer: 3*j**4 - 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 10. Suppose 3*w - 9 = 3*k, 2*k = -2*w + 7*w. Calculate d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:13 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 0, l + 4*k = -112 + 97 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(0 - -3) + 0. Let u be (1 - -1)\/2 - s. Solve y = u*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/5))**(3\/5))**(3\/4) assuming t is positive.\nAnswer: t**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = 5*j - 14*h - 33, -5*j + 4*h = -9. Solve 17 = -6*k + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432 and 18.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(28) - sqrt(7)))**2 - (sqrt(28) + -2)**2.\nAnswer: 8*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 1473*p + 1470*p + 55, -3*p + p = 3*b - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326885 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*-1*(146452 - 470) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 3, x: 4}. Give prob of sequence mxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 115*b + 3399. Calculate x(-22).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.743 - 8.76. What is the second smallest value in -21, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429261?\nAnswer: 1429261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 91\/4 of a second?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -198*h**3 - 9*h**2 + 26*h + 64. List the prime factors of j(-5).\nAnswer: 3, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12442.\nAnswer: 2, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 27*t**3 + 485*t**2 - 20*t - 66. Give r(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -544910, -2179615, -4904122, -8718431, -13622542, -19616455?\nAnswer: -26700170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*z + 15 = 0, -654*d = -650*d + 2*z + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnrknnnnkrknr. Give prob of picking 4 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 5*u + 2 + 0*u + 4*u**3 - u. Let p be a(1). Solve p*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3471 - -53?\nAnswer: -341d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34.0887 and -13.1?\nAnswer: 47.1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4622 + 3 - (-3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, -137, -194, -235, -254, -245, -202, -119?\n\"Answer: u**3 - u**2 - 71*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 709 - 699. Calculate the lowest common multiple of 32 and d.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 21*n**2\/5 + 372*n\/5 - 108\/5 = 0.\nAnswer: -18, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/6 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 + -111. Let o = 50 + 32. Suppose 2*g - 149 - o = -3*w, 0 = g + w - j. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Let i(s) = -2 - k*s + 6*s + s**2 - 3*s. Suppose 4*u - 3*y = 6, -6*y = -u - 2*y + 8. Determine i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*m - 42, 2*r + 13*m = 10*m - 15. Let y(x) = 8*x + 99. Let t be y(r). Solve 4*g = 2*c - 14, 0 = 2*g - 5*c + t - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1915, -8.\nAnswer: -8, 5, 1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3111 - -31153\/10. What is the common denominator of f and 95\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1545*v**2 + 3086*v**2 - 1540*v**2 + 2.\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6676255 and 158894869.\nAnswer: 794474345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 28*h + 14. Let v be a(9). Solve 5*d - 5 = -2*j + 2*d, 3*j - v*d + 21 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46573 + 66966. List the prime factors of x.\nAnswer: 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.054 + 0.76504. Round f to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (122\/(-20) - 3\/(-5)) + 6. What is the biggest value in -2, w, -5, -193?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -17*j - 144. Determine p(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61839 is divided by 578?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 108\/(-12)*1*-1. Let c(b) = 8*b - 29. Let t be c(z). What is k in 2*k**2 + k**4 - t*k**3 + 46*k**3 + 0*k**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194215*d**4 + 1743975*d**3 - 1518100*d**2 - 31500*d - 160 = 0. What is d?\nAnswer: -2\/179, -2\/217, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*((-2)\/2)\/2. Let h be (q + 2 + -3)\/1. Suppose 0 = -5*y - 0*y - 10. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, d: 2, z: 1}. Give prob of sequence xd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -44. Suppose 0*y + 3*y - 234 = 0. Suppose 2*c - y = 3*u, u - 83 = -4*c + r. Calculate the greatest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose -9*b - 16 = -34. Solve -s*k - b = -4*l - 4*k, -l + 5 = 2*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 6*h + 6. Let i(b) = -3*b**2 + 5*b - 5. Suppose -3917*g = -3821*g - 672. Calculate g*i(w) + 6*a(w).\nAnswer: 3*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47269.\nAnswer: 47269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32914259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0841 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 54*l**2 - 10*l - 16. Let u(g) = -11*g**2 + 2*g + 3. Suppose t + 2*t + 9 = 0. Let w(n) = t*j(n) - 16*u(n). Find the second derivative of w(c) wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 28228*z**2. Let f(h) = h - 55. Determine f(x(r)).\nAnswer: 28228*r**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9728573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18186?\nAnswer: 2, 3, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46140, 92286, 138432?\n\"Answer: 46146*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016109547 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/2, 47\/6, -5, -2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200394 is divided by 149.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*n = -112, -3*n + 9 = -w + 65. Does 43 divide (1204\/w)\/(1\/38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2883372 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-3*f + f - 2*f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 6. Let n = 3.2 - -0.8. What is the closest to 0.1 in x, -1\/11, n?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*c**3*j**3*r**2 + 90*c**3*r**2 - 57*c**2*j**3*r - 2*c**2*j*r**2 + c**2 - 7*c*j*r - j wrt c?\nAnswer: -738*j**3*r**2 + 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 28 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2974\/28253*(-114)\/(-26).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**4 - 2*d**3 - 6*d**2 - 4*d - 3. Let j(h) = -h**3 - h**2 - h - 1. Let q(s) = 4*j(s) - y(s). What is the third derivative of q(p) wrt p?\nAnswer: -480*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 166851.6 to the nearest 1000.\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 4 - 14*q**2 + 18 + 7 with respect to q.\nAnswer: -28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42732 is divided by 2268.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - (-37 + -28)) + (10 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3\/(-27))\/(76\/57)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 6057423?\nAnswer: 6057424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2038, 4077, 6116, 8155, 10194, 12233?\nAnswer: 14272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7317 - -7180 - (-1 - 50).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 10:53 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5881545 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2. Let s(m) = m - 960. What is s(v(o))?\nAnswer: -o**2 - 960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14603533502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2278349.00736 and 6.\nAnswer: 2278355.00736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*o - 36 = -88*o - 8*j, 16*o + 3*j + 49 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r - 5*r. Let d be (-1)\/((15\/6)\/(-5)). Let y be 2 + (-98)\/d + r. What is y rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4552.9992771 - -4553. Round x to five dps.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-5))\/((-12)\/160). Let h be (2 - (-22)\/(-8))*z. Let m = h - 12. Solve 4*c = -m*c + 16, 11 = -p + 3*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6*a - 66 = 0. Let n = a - 5. Calculate the remainder when 9 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1970.1779 and 0.\nAnswer: -1970.1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/((-8)\/12). Let z be -1 + 0\/r - 0. Does 12 divide z - (1 - (-2 - -40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 15. Suppose 3*v - 5*v = -28. Let u be h(v). Let r = -2 - -3. What is the greatest common factor of r and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39 + 47 + 2*b + 39 - 1236*b**2 + 118 wrt b.\nAnswer: -2472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011803574 rounded to 7 decimal places?\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115109?\nAnswer: 59, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {h: 1, f: 2, o: 1, i: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.032 to one dp.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6309 + 8757. What is the remainder when b is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011011100001011 (base 2) to base 16.\nAnswer: -7b70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2 (c) 0.1 (d) -0.8 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 140 = -u. Suppose 5*c - u = c. Let k = -21731 + 21757. What is the remainder when k is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by 17\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -711569, -711567, -711573, -711593, -711633, -711699, -711797?\n\"Answer: -l**3 + 2*l**2 + 3*l - 711573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3814, 7627, 11440, 15253?\n\"Answer: 3813*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/8)*v*v**(-3\/11))\/(v\/(v\/(v**(-1\/3)\/v*v)))**(-11) assuming v is positive.\nAnswer: v**(-479\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 + 12*f**2 - 25*f + 8. Let c(p) = -7*p**3 + 12*p**2 - 24*p + 7. Let k(m) = 7*c(m) - 6*g(m). Is k(10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -955*((-12)\/10)\/((-258)\/(-688))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2532460450 to the nearest 1000000.\nAnswer: 2532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64\/65 - 18\/13. Let h = 0.085 - 5.185. Let g = -10.1 - h. Which is the second biggest value? (a) s (b) g (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 - -121. Suppose -19*l + 762 + 1423 = w. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v, -v + 2032 = -4*d + 2*v. Is (4\/(-8))\/(1\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 + 7*p**2 + 9*p - 4. Let o(a) = a**3 - 2*a**2 - 3*a - 1. Let r be o(4). Suppose -49 + r = 15*t. What are the prime factors of k(t)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*l**4 + l**3 - 59*l**2*o - 1997*l*o + 5*l - o - 3 wrt l.\nAnswer: 264*l**2 + 6*l - 118*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2566 - -6183. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 658\/25 - 168\/25. Is 19 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109051013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2033042 - 1421?\nAnswer: 2031121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9164282 and -21.\nAnswer: -21.9164282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 10) in base 4?\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 11) in base 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 15*y**2 - 11*y + 39. Give v(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 8*g + 10*g + 416 = 0, -90 = -p - 3*g. Let o = 84 - p. Solve 4*y + 2*u + 0*u + 22 = o, 5*u = y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/26 + 2167\/143. Let u be (1 + (-10)\/4)*-2. Suppose 14 = 2*y - u*o, 5*y - 5*o - 3 = 27. Solve 0*t = -x + y*t - 16, 5*t - v = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 11134204441?\nAnswer: 11134204432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 + 27*x - 9. Let w be m(6). Suppose 11*o = w*o - 4. Let a be (12\/(-30)*o)\/((-2)\/5). Let z(c) = c**3 + 2*c**2 + 3*c + 1. Determine z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 + 230. Let q be 1*(0 + -3 + u + 3). Sort q, -34, -4, 3.\nAnswer: -34, -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 14*n + 10 = 0. Let d(r) = -25 - n*r**2 + 47 - 22. Let w(c) be the first derivative of 2*c**3\/3 + 2. Determine d(w(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*-18.5\nAnswer: -16.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(((-744)\/(-720))\/(-31))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.060185\nAnswer: 0.024074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 10 = 5*h - 8, -h - 6 = s. Let o(z) = -1466667*z - 2. Let v be o(s). What is v rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/((64\/8)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 55*t - 490. Give b(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiai when four letters picked without replacement from ikiaiaaiiaa?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29049, -58093, -87131, -116163?\nAnswer: -145189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117237\/106 - -1106. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114330 is divided by 174?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 11*l + 21. What is g(7)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 597661939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 2 (c) -0.5 (d) -3\/7 (e) 7 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49\/156 - -1\/52. Suppose 0*g + 0*g = -11*g. Factor g*v - t*v**5 + 0*v**2 + 2\/3*v**4 + 0 - 1\/3*v**3.\nAnswer: -v**3*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/6 - 25*l**3\/3 - 28*l**2 + 2*l. Let o be v(26). What is the smallest value in -2, 23, -3\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68499 (base 10) to base 7.\nAnswer: -403464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - z + z)*(26*z - 49 + 49) - z + z + 2*z**2 + (0 + 0 - 2*z)*(-3*z - 2*z + 3*z))*(-1 + 1 + 2*z).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Let q = -0.8 + o. Suppose 15 = -5*l, l - 22 = 5*y - 30. Which is the closest to q? (a) -5 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 62\/3 of a day?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43948.8 plus 17?\nAnswer: 43965.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 50*i**2 - 119*i + 3427. Give p(49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819336 is divided by 204073?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:15 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/67 (b) 5 (c) 70987\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 60. Let p be g(29). Solve -13 = -p*h + d - 3, 2*d - 25 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10218 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**4 + 2*y**2)*(-5*y - 49 + 49) - y**5 + 0*y**5 + 0*y**5 + 0*y**2 + 2*y**5 + 0*y**2 + (4*y - 2*y - 3*y)*(0*y + 0*y - y**4).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**3 - 387*i**2 - 475*i + 149. Determine u(-54).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7 + 3 = 3*l, 3*l + 6 = -3*k. Let u = 66 - l. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {j: 6, g: 2, m: 1, n: 2, b: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26142, 210715, 712150, 1688877, 3299326, 5701927, 9055110, 13517305?\n\"Answer: 26405*l**3 + l**2 - 265*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 8*n + 4. Let r = 1 - 9. Let j be a(r). Let z be 1\/2 - (-106)\/4. Solve 41 = j*v - 5*p, -4*p + 3 - z = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13*x + 12*x = 16, 3*x - 2 = 2*y. Which is the nearest to 0.3? (a) -6 (b) y (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1744 or -1745?\nAnswer: -1744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41756, 83465, 125040, 166415, 207524, 248301, 288680?\nAnswer: 328595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 3*v - 3. Let o be t(6). Let b = o + -31. Is 4 a factor of (-1)\/4 - (-145)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 6*q + 19. Let r be u(2). Factor -159*l + 102 - 297*l**2 + 201*l**2 - r*l**3 + 156*l**2.\nAnswer: -3*(l - 17)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*r - 4, 5*n + 3*r - 1 = 4. Let f = n - -1. Find the third derivative of -5*h - f*h**5 + 5*h + 3*h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7 or 1\/99?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 136\/(-408) + (-50)\/(-6). Which is the closest to -0.1? (a) -5 (b) -4 (c) l (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1) + -1 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 1842*q - 1084. Let y(d) = -9*d**2 - 3680*d - 2166. Let f(r) = -14*w(r) + 8*y(r). What is the first derivative of f(a) wrt a?\nAnswer: -4*a - 3652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*z + 2 = -4*z, -4*y - 3*z = -27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3357, 1459, -1711, -6153, -11867, -18853?\n\"Answer: -636*s**2 + 10*s + 3983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 28 - (-9 - -13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7022 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52 and -0.108?\nAnswer: 5.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310533 + 244*d**2 - 80*d**2 + 310543 - 621076.\nAnswer: 164*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9544 divided by 532?\nAnswer: 2386\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47399356 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1092 divided by 91\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(48)\/sqrt(3))\/(sqrt(504)\/sqrt(7) - sqrt(8)) + 1.\nAnswer: -sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h + 5*h + 11*h - 3*h + 27*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.038 and 102842.\nAnswer: 102842.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175.643746 - 581.\nAnswer: -405.356254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 34*j - 5 = 37*j, 2*j + 5 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -1\/5 (c) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + -0.4. Let j = x + 0.6. Let w = 0.4 + j. Which is the second smallest value? (a) 1\/3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19738.8 to the nearest 100.\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 2*d**2 - d**2)*(0*d**2 - 3*d**2 + d**2)*(-1 - 3 + 3).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70666.66 millimeters in kilometers?\nAnswer: 0.07066666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 1616547*m + 9699390.\nAnswer: -3*(m - 6)*(m + 538855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7212.87 litres to millilitres.\nAnswer: 7212870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {f: 8, a: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6423 - 6422.8. Which is smaller: 1618 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*y + 402 - 159*y - 401.\nAnswer: 19*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353767902 is divided by 122?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111000110110 - 1001110101?\nAnswer: -101000010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**2. Let z(r) = 1 - 10*r**2 - 1 + 8*r**2. Determine y(z(w)).\nAnswer: -56*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8248675 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19725971179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25823\/2821 - (10 + -1). Which is the third biggest value? (a) 0.167 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 55*d + 5*c - 14 = 0, 4*c = d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.122355 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 821714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-8)\/84*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 6, x: 1, c: 1}. Give prob of sequence aw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + 6*sqrt(2499) + sqrt(2499))\/(1*(sqrt(3) - sqrt(75))).\nAnswer: -25*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32 - 9 + 4 - 3*s + 25 - 1037*s**2 - 15 wrt s.\nAnswer: -2074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f = -42*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -612, 3, -1, 24, -3 in decreasing order.\nAnswer: 24, 3, -1, -3, -612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86745 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(-1*sqrt(10)))\/(sqrt(176)\/sqrt(4)) - (sqrt(50)\/(sqrt(10)*-2) - (sqrt(5) + (sqrt(60) + sqrt(300)\/sqrt(5))\/sqrt(12) + sqrt(5))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 + 32*y**4 + 6*y**2 - 18*y wrt y.\nAnswer: -120*y**3 + 768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8573256 = 520*z - 178*z. What are the prime factors of z?\nAnswer: 2, 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siaiddd. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189260, 189280, 189302, 189326, 189352, 189380, 189410?\nAnswer: 189442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 5. Let t(w) = -1517*w + 11. Determine t(g) - 2*z(g).\nAnswer: -1521*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666642698?\nAnswer: 2, 41, 173, 46993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**7\/105 - p**6\/20 + 3*p**5\/5 + 8*p**4\/3 - 32*p**3 + 1129*p**2. Factor z(j).\nAnswer: -2*(j - 3)*(j - 2)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474001?\nAnswer: 11, 41, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1864*f**3 + 4*f**2 - 5*f + 1. Let z be q(4). Suppose -335606 + z = -5*n. Let a = n + 506747. Round a to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12045368 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 9\/20*q**5 + 0*q**3 + 23*q + 0 + 0*q**4 - 12*q**2. Find the first derivative of m(b) wrt b.\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.442318 years in centuries?\nAnswer: 0.09442318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.59 - -0.11. Let u = 85.3 + h. Let r = -93.00006 + u. Round r to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - j - 41 = 0, -76*j = -3*g - 72*j - 26 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 34. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/2 (b) 4\/65 (c) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3847 + 3?\nAnswer: -3844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101 - -10011010101110010100?\nAnswer: 10011010110000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*u + 9 = -74*u. Let s be (-3 - 15\/u)\/(2\/30). Put 3, s, -2, -5 in ascending order.\nAnswer: s, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37517 (base 9) in base 15?\nAnswer: 7707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*y - 351*y + 6*y**2 + 228*y - 2*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -4*u - 164 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331866.788 rounded to the nearest 100?\nAnswer: -1331900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) 7 (c) -2.5 (d) -11.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 2814\/19 + -148. Which is the nearest to 2\/3? (a) p (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*z**5 + 428*d*z**3 + 43*d*z - d + 10*z + 2 wrt z?\nAnswer: 40*d*z**3 + 2568*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/12*(2 + -6). Let x = y - -1. Let n be 44\/24 - x\/(-4). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 2007?\nAnswer: 22077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*v - 2628, 5*v - 490 = -r + 796. Let g(i) = -73*i - 798. Let s be g(-11). Suppose s*p - r + 136 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7955\/86 - -20)\/(6\/1088)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 5*d, 3*c - 2*d = 8 + 1. Find the third derivative of -6*r**2 + 2*r**3 - 9*r**c + 3*r**3 - r**2 wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -60*h**2 + 68*h + 11. Give m(4).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*y - y**2 + 73*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/((-72)\/21)*(-13994)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.47842 millilitres to litres.\nAnswer: 0.00147842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1272637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:35 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 174590\/585 + (-4)\/9. Are 298 and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 5*b**2 - 4*b**2)*(b**2 + b**3 - b**2) + (-5*b**3 + 0*b**3 + 3*b**3)*(-2*b**2 + 3*b**2 + b**2)*(1 + 4 - 4).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118155\/16 + 7387. Calculate the common denominator of m and 33\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l + 2. What is the lowest common multiple of 56 and p(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, 2, 3, -5, 14, 0 in increasing order.\nAnswer: -125, -5, 0, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 109. Calculate the greatest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 40*s + 178776 = 0. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 1976 (c) 2\/5 (d) 10 (e) 4 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*h - h - 35, 0 = -2*a + 5*h + 25. Solve 5*o + 0*f - 1 = 2*f, -8 = a*o + f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-10))\/(4\/40). Let j be 1\/(-3) + b\/(-18) - -2. Solve -j*a + 16 = -6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42794005570*f**3 + 21397002782*f**3 + 21397002785*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ies when three letters picked without replacement from {s: 3, l: 1, e: 1, b: 2, i: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 2*n - 6, -5*n - 35 = -3*j. Let o = j + -11. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = -t - 2*t. Let l = t + 71. Suppose l*u = 4*u, -3*u = -3*k - 5490000. Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 43*c. Let v(n) = 14*n + 5395. Give k(v(y)).\nAnswer: 602*y + 231985","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 225489.\nAnswer: 1\/75163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6673084 and -168830.\nAnswer: 6504254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*s - 8018 = 35366 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 2*i**2 - 3*i + 1. Let w be k(2). Let t(d) = -14 - w*d - 3*d + d**2 - 3*d - 16. List the prime factors of t(13).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 30 = -5*w, -9 = -2*s - 3*w + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 10\/5 - -6. Let i(h) = -4*h**2 - h - 8. Let v(s) = 3*s**2 - s**2 - 76*s + 1 + 76*s - s**2. Determine m*v(c) + i(c).\nAnswer: c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-39060)\/(-16) - 42\/63*(-3)\/(-8)?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82769 - 82766.5. Suppose -2*o = -3*r - 17, -3*r - 25 = -5*o + 4. Which is the third biggest value? (a) s (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 - 11*p**5\/60 + 13*p**4\/24 - 11*p**3\/3 - p**2 - 13*p. Is n(-13) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 2. Let s be b(-4). Differentiate f**3 - 2 - 1 + s with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -181 (c) 147 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**2 - w + 3\/4.\nAnswer: (w - 3)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 13*c - 13. What is t(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55415 is divided by 277.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 16*q - 4*q - 2. Let r(t) be the third derivative of 3*t**4\/8 + t**3\/6 + 28889*t**2. Give 6*f(d) + 11*r(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2544 and -137\/3816.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkppkkkklklll.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -1261879.7364?\nAnswer: -1261879.4364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 + 120. Let b be -24*(3 - d\/(-12)). Solve 0 = -2*x - x + b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -55827?\nAnswer: 55839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492515?\nAnswer: 5, 137, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 5, 0 = -2*j + 3*c + 3073. What is the tens digit of (j - -1)\/(11\/(198\/27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.93727 minutes to hours.\nAnswer: 3.4489545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 599521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 8*n**2 + 5*n - 38. Let g be (-1 + 1)\/((-1)\/(-1)). Let s = 8 - g. What is the least common multiple of h(8) and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/q*q**(-1\/3))**7*(q\/q**(-3)*q**(-3\/7)*q)**28 assuming q is positive.\nAnswer: q**(691\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-1151)\/74 - 26\/(-481))*(-8)\/114?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5795 and 26790?\nAnswer: 1634190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 77 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71 or 64?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12 and -73\/173512.\nAnswer: 520536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26725, -53436, -80111, -106732, -133281?\nAnswer: -159740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 1 + 4 - 10. Let j(u) = u + 3. Calculate 8*j(f) + 5*p(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 330 + -989\/3. What is the nearest to -1\/2 in g, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -9, 13*j - 7*j + 11 = 4*j - b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 6*q - 17. Does 24 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 - 5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4311*y - 6*y**2 - 4311*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*g - 16. Suppose -2*r = -7*r + g. Let t = -23648\/43 - -550. Is t at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 37 = 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/301 + 4113\/4214. Let y be (-89 - -88)*(1 - (-65983)\/(-110)). Let r = 3009\/5 - y. What is the common denominator of r and l?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + sqrt(13)*-2 - (3 + sqrt(13))*1 - (sqrt(65)\/sqrt(5) + -4 + sqrt(468)*-2)))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 2, 1, 31 in increasing order.\nAnswer: 1, 2, 31, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/11412 and -73\/3804.\nAnswer: 11412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 2. Let q be g(-1). Let h = -477\/1336 - 3\/167. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -198, 7, 0.3 in decreasing order.\nAnswer: 7, 0.3, -1, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 22*w + 63. Let b be g(-3). Put b, -0.2, 5, 0.2 in descending order.\nAnswer: 5, 0.2, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50133689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -11645\/2447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qziaijl. What is prob of sequence lal?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 4)*(s + s - 4*s) + 0*s + 4*s - 5*s + s + 1 - 1)*(-4479*s + 4479*s + 127*s**2).\nAnswer: 508*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.037*506.\nAnswer: 18.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - g + 1)*(1 - 2 + 3)*(4*g - 13 + 13)*(2*g**2 + 94*g - 56 - 94*g).\nAnswer: -16*g**4 + 448*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 827813*f**2 - 75*f + 2816.\nAnswer: 1655626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*q - 13922 = 0, -t - 11*q = -16*q - 4674. Does 68 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*b + 1118 - 537 + 1134 = 0. Let f(o) = -5*o. Let c be f(2). Let n be 4\/c - (-96)\/(-10). Sort b, -1, n in ascending order.\nAnswer: n, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 520031, 520029, 520027?\n\"Answer: -2*f + 520033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:31 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15480.08705 to zero dps.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5646, -11313, -16992, -22689, -28410?\nAnswer: -34161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*k**2 - 2*k**3 - 5*k**3 + 27*k - 27*k + 30*k**5 + 2*k**3 wrt k.\nAnswer: 1800*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 - 7.109414.\nAnswer: -5.509414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 13*y**4\/12 + y**2\/2 - 4*y. Let v(p) = 66*p**2 + 6. Let z be (-21)\/(-8) - 66\/(-176). Give z*v(b) - 16*h(b).\nAnswer: -10*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 5*u)*(-19*u**2 + 19*u**2 + 2*u**3).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vekkvvkvek.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 3*z**4\/8 + 2*z**3\/3 + 8*z**2 - 18*z - 1. Let n(y) = 36*y + 17. Determine -2*n(h) + 9*v(h).\nAnswer: 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 246, 373, 504, 639?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2 + 0 - 1 - o**2. Let s(t) = 4*t**2 + t - 7. Suppose -5*y + 67 - 92 = 0, y = 2*d - 3. Calculate d*s(x) - 6*r(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + -15900.\nAnswer: -15900.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 17606 = 15106. Solve 13*i - b = -86 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*y + 16*y**3 + 37*y)*(4*y**2 + 2*y**2 - 5*y**2) + (1 + y**3 - 1)*(3*y - 3*y + 2*y**2).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/51? (a) 4 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c**2\/9 - 38*c - 160\/9 = 0 for c.\nAnswer: -5, -16\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*u + 48 = 61, 2*u = a + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 + 59 = -3*w + y, -w + 2*y = -91. Calculate the least common multiple of 54 and w.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(2\/(-84)*-15)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/287 and -43\/123.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-378)\/1713600*-100*(-60)\/(-9).\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -65 (b) -0.1 (c) 1\/46 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025 + 19887 = -264*l for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 - -54. Let s = a - -41. Suppose -z + 8*z + 22*z = 0. Solve 0 = -3*n - 4*h + 8, -h + z*h = -2*n - s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzk when three letters picked without replacement from {y: 5, k: 4, z: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 3*b. Suppose 5*h - 1575 = -0*h. Suppose 2*s - 8*g + 125 = -9*g, 5*s + h = -2*g. Let r = s + 69. Calculate f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.976 - -0.14\nAnswer: -24.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 81 - (-4 + 0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1104)\/1440 - 4\/10\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11184300 to the nearest 100000.\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - 17*h - 7. Let p be a(-5). Suppose -3*i + p = 0, -5*n + 5*i + 4 = -316. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1489 - 1449 - (30 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 719683.8 + -719683.86999994. Let o = s + 0.07. What is o rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -1\/12*u**4 + 0 + 3\/2*u**2 + 7*u + 0*u**3. Differentiate i(w) with respect to w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = -46. Let h be 9\/p - (-3 - -2). Let t be 252\/216 + -4*(-3)\/(-9). Sort 1\/3, t, h in decreasing order.\nAnswer: 1\/3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 9*q**2 + 8*q + 4. Let c be r(8). Let a(s) = -s**3 + 5*s**2 + s - 1. Is a(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/(-6)*1\/(-5)*-333 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 8*j**2 - 3*j**2 - 7 - 9*j**3 - 2*j + 41*j**2 as p*j + m*j**2 + u + z*j**3 and give m.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -26. Suppose 12*r = 9*r + f. Sort r, 2, -5 in increasing order.\nAnswer: -5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097853.\nAnswer: 3, 29, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19891264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from cceepeeep.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*w + 503*w + 243*w - 2.\nAnswer: 673*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 2*p - 75, 4*p = 16. Suppose 5*a - k = 32. Suppose 0 = s + a - 63. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = a + 13, -4*a + 7*w = 4*w + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/57)\/((-311)\/65310).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-50)*65)\/(2\/4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2 - (-12 + 0)). Suppose -2*c + 0*t = -t - 4, 3*c - l = -2*t. Solve -3*g + p + c = -2*g, g = 4*p + 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 - l - 1025 + 343 + 340.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.429 plus 42?\nAnswer: 41.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -111*y**4 - 10*y + 72. Let u(a) = -166*a**4 - 16*a + 108. Let c(s) = 8*f(s) - 5*u(s). What is the first derivative of c(t) wrt t?\nAnswer: -232*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - (18\/(-15))\/(6\/(-20)). Let d(j) = j**3 - 5*j**2 + 2*j + 1. What is d(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 497500 to the power of 1\/2, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 499*d - 994.\nAnswer: -(d + 2)*(d + 497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604058728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2588*c - 180. What is the thousands digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17427*w = -17415*w - 324 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 19*j + 85. Let d be i(-9). Let n = 8 + -3. Sort -1, d, -4, n.\nAnswer: d, -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*l + 1021*d**2 + 8966*d*l - d wrt d?\nAnswer: -2*l + 2042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178 - 2?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 0.5, -7\/11, 0.3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5748)\/33 - (-40)\/220. Is u at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - u = -12*w - 5, 25 = -w + 5*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 218, 186, 154, 122, 90, 58?\n\"Answer: -32*m + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 416, 920, 1582, 2402, 3380, 4516?\n\"Answer: 79*t**2 + 109*t - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -24.97, 1\/3, -4\/9 in descending order.\nAnswer: 1\/3, -4\/9, -24.97, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) - (sqrt(624) - 1*sqrt(624))*-5)\/sqrt(12))\/(-4*sqrt(384)\/sqrt(6)).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7598082 divided by 51.\nAnswer: -148982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 16*n - 46 + 227 = -175, -30*y + 29*y + 46 = 4*n for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = y - 4*x + 4, -5*y - x - 20 = 0. Let j(t) = -t**2 - 3*t - 4. Give j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydyoyuynvoo. Give prob of picking 1 d, 1 n, 1 v, and 1 u.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3264065449?\nAnswer: 29, 112553981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -83*r**5\/10 - r**3\/6 - 27*r**2\/2 + 7*r + 1. Find the second derivative of z(p) wrt p.\nAnswer: -996*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2260 - 69?\nAnswer: 21e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -90 times -271.598\nAnswer: 24443.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857 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 11764433119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t + 93. Let m be n(4). Suppose m = -8*f + 57. What is y in y**3 + y**f + y**2 - 2\/3*y + 0 - 7\/3*y**4 = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138242069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -426 * -1068.\nAnswer: 454968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1261*y - 4387. Calculate the remainder when r(-4) is divided by 221.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 37643413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**8\/336 - 121*n**5\/60 - 3*n**4\/8 + n**3\/3 - 43*n**2 - 3*n. Find the second derivative of b(l) wrt l.\nAnswer: -20*l**3 - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6594\/(-293433) - (-1792)\/534?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*w**3*x**4 - 60577*w**3*x**2 + 133*w**3 + 2*w - 12855 wrt x.\nAnswer: 84*w**3*x**3 - 121154*w**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 61 = 30. Calculate the remainder when o is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55284407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)\/8*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**2 + 5*p + 1. Let t(u) = -24*u**2 - 11*u - 4. Let b(h) = -11*n(h) - 6*t(h). Let w be b(-10). Sort 70, -5, 1, w in decreasing order.\nAnswer: 70, w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 1881. Let x(k) = -24*k + 7. Give x(u(v)).\nAnswer: 48*v**2 - 45137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3634411.\nAnswer: 11, 163, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228689 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/5 - 432*g**4\/5 + 3699*g**3 + 11870*g**2 + 1716*g\/5 - 79128\/5 = 0.\nAnswer: -471, -2, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.0892 in descending order.\nAnswer: 2, 1, -0.0892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -400947 (base 16) to base 11\nAnswer: -2407033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -42. Suppose -4*s = g - 12 - h, -g + 50 = -5*s. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196847 (base 10) in base 5?\nAnswer: 301244342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w + 2. Give q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4 - 25 - 17*c**2 + 803*c - 783*c. Let n(m) = 3*m**2 - 4*m + 4. Let z(p) = -11*n(p) - 2*o(p). Determine z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31201214 (base 6) in base 16?\nAnswer: -dc4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let i be p\/2*4\/7. Which is the closest to i? (a) 4 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/7 + 96*i**4\/7 + 90*i**3\/7 - 188*i**2\/7 = 0. Calculate i.\nAnswer: -47, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 2. Suppose x = -3*l + 32, 0 = 19*l - 24*l - 2*x + 54. What is s(l)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 3*o**3 + o**2 - 4*o**2 - 11 + 0*o**2 to the form b*o + u + z*o**2 + m*o**3 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhffffc. Give prob of picking 1 c and 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -10. Suppose -c = d + c, d = c + 9. Let k = 4 - d. Put k, 4, u in ascending order.\nAnswer: u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130, -131, -70, 83, 358, 785, 1394?\n\"Answer: 5*j**3 + j**2 - 39*j - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20413078 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/2))**18\/(k\/k**(4\/7)*k**(1\/5)))**3)**(-3\/14) assuming k is positive.\nAnswer: k**(3033\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -27*x. Suppose 1385 = 5*s - 4*v, 3*s - 202 - 637 = 4*v. Let p(g) = 2*g**2 - 538*g + s*g + 265*g. What is h(p(f))?\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 4*k**2 + (-11 + 2 + 4)*(0 + k**2 + 0))*(2 - 5 + 1).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221252?\nAnswer: 2, 805313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 2. Give w(20).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 1 = 7*m, -5*m - 16 = -2639*n + 2635*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 4. Let i(j) = j**2 - 2*j + 5. Let l be i(0). Determine k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3489, -6980, -10471, -13962, -17453?\nAnswer: -20944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -7, -5 in descending order.\nAnswer: -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 - 13760*d\/11 - 27528\/11.\nAnswer: 2*(d - 6882)*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 55. Find the common denominator of -3\/2 and 17\/((j - -2)*16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7 - 26.7. Let a = 514735442 - 514735419.9999947. Let d = a + o. Round d to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 3*k - 2*k + 4*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 9*o**2 - 2*o + 2. Suppose -c + 5*c - 8 = 0. Let d be (5 + -14)\/(c - 1). What is the units digit of l(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432001.\nAnswer: 432001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 0, -4*u = y + 86 - 66 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(1*sqrt(7)))**2 + sqrt(3) - (sqrt(147))**2*-1) + (-4*sqrt(576) - sqrt(36))\/(sqrt(48)\/sqrt(36)).\nAnswer: -50*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12036, 11916, 11930, 12144, 12624, 13436?\nAnswer: 14646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -300*u**3 - 3*u**2 + 2. Let n = -106 + 105. Does 23 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(sqrt(133) - (sqrt(133) + sqrt(133)*-2 + sqrt(133))) + sqrt(133))*6)\/((6*sqrt(168)\/sqrt(3))\/(sqrt(32)*-6)).\nAnswer: 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(9)\/sqrt(3) + sqrt(3))**2 - sqrt(3)) - (sqrt(192))**2) + sqrt(108)\/(sqrt(4) + -3*sqrt(4)).\nAnswer: -264 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-5819.\nAnswer: -1280.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - (-51 + 28)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 36*f + 33.\nAnswer: 3*(f - 11)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2611 = w - 30786, 4*w - 112726 = -3*l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 6, 0.02, -1\/9, 1, -49\/4?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 141 = -2*p, -2*z - 3*z = -5*p - 330. Let j be 6\/8 - p\/28. Solve -20 = -j*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*z**3 - 18*z**3 - 38*z**3)*(-2*z - z + 5*z) in the form u + j*z**3 + v*z**4 + b*z**2 + r*z and give v.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g*g\/(g\/((g*g\/(g*g**11))\/g))*g)\/g)*g*g**(5\/12)*g*g)\/(g\/((g\/(g\/g**(-13)))\/g))**31)**(-2\/15) assuming g is positive.\nAnswer: g**(5419\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:46 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -335663*g - 335679. Give s(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 8, v: 4}. What is prob of picking 2 z and 1 m?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(3\/(-6) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 8*f + 11. Suppose 0 = 3*s - 4*s + 13. What is the remainder when 6\/f*(8 - (-22)\/(-11)) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2\/5 (c) -6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12642168 is divided by 75?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*c**3 + 26*c**3 - 36*c**3)*(3 - 3 - c + 8 - 8 - 3*c + (-4 + 4 + 2*c)*(2 - 3 + 0) - c + 5*c - 6*c + (-3*c + 4 - 4)*(-1 + 0 + 0)).\nAnswer: -105*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157638040541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000921 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99)*-1*-6 + sqrt(99) + sqrt(99)))*-2*-6)\/((sqrt(54)\/(sqrt(9)\/sqrt(3)))\/(sqrt(8)*-1 + sqrt(2) + sqrt(2) + sqrt(2))).\nAnswer: -84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 15. Let w(f) be the first derivative of -f**4\/4 - 2*f**3 + 17*f + 8. Let p be w(-5). Let y be d(p). Is 8 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 33 (b) -9\/46 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 49, -2\/7, -5\/3, -1\/3 in descending order.\nAnswer: 49, -0.2, -2\/7, -1\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6 - 3 = 0, 5*k + 2*z - 29 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15603041 is divided by 503323?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - (-57)\/108. Suppose -1 + 0 = -x, -15 = 5*u + 5*x. Let v be 4\/(-14)*(-2)\/u. What is the biggest value in -4\/3, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 34521 + 34529 - 69050.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - r + 61 = 0, -27 = 2*l + 5*r - 68. What is the remainder when 148 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let f(u) = 3 + 21*u**2 - u - i + 3*u. Does 16 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*o + 6, -2*o - 8 = -4*q + 2*o. Let u be -1 + ((-12)\/(-4) - q). List the prime factors of u\/8 - 415\/(-20).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452798 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1141 + 1132. Let y(q) = -10*q - 86. Calculate y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10))**25\/(w**(2\/5))**(-46) assuming w is positive.\nAnswer: w**(-1158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*u - 40 + 77*u - 3 + (-1 + 1 + u)*(-3 + 5 + 2).\nAnswer: 5*u - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16875*k**2 + 62550*k + 57963.\nAnswer: 3*(75*k + 139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0496717 take away 0.2?\nAnswer: -0.2496717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 355570*u**4 + 279548.\nAnswer: 1422280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 12616 = 173*p. Calculate the remainder when 7824 is divided by p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/(-42))\/(13\/(-91)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100022203001 (base 4) to base 6.\nAnswer: 230454025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-6) - (-6)\/9. Suppose -b*z - 28 = -14*z. Let k(p) = 2*p**2 - 3*p - 4. Is k(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-42)*-6)\/((-2)\/(-1 - -3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and -91\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -493.71 - 548.\nAnswer: -1041.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 26*q**2 + 39*q + 66. Does 58 divide x(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679?\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((55 - 43) + (-3942)\/315)\/((-3)\/(-7)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)**(1\/72)\/(x**7*x**(1\/3)) assuming x is positive.\nAnswer: x**(-263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71192919 + -4.98?\nAnswer: 71192914.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -146c?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*h - 11, 3*f + 5*h + 9 = f. Let z(y) = -2*y**3 - 12*y**2 - 9*y + 16. What are the prime factors of z(f)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v**3 - 3\/20*v**5 - 52*v**2 + 0*v**6 + 1\/4*v**4 - 121\/336*v**8 + 0*v - 2 + 0*v**7. Find the third derivative of z(d) wrt d.\nAnswer: -7260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*v + 471 - 2321 = 1534 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-9)\/6*(18\/174)\/((-333)\/(-74)))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + 4 + sqrt(162) - (sqrt(176)\/sqrt(8))\/sqrt(11).\nAnswer: 4 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -98.\nAnswer: -30\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*w + 11, -5 = 2*a + w + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*t = -12, -7*l = -4*l + 2*t - 13. Suppose 0 = 2*q - 3*c - 26, l*q + c = 3*q + 18. Solve -5*s + q*s - 3*v - 6 = 0, 4*v = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*z + 0 = 5*g + 5, 7*g + 11*g - 5*z = -13*g + 113 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p. Let u(b) = 3*b. What is u(s(x))?\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3, 33\/49?\nAnswer: 33\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -4325.\nAnswer: -8650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/6 - 11*o**4\/6 + 7*o**3 - 9*o**2 - 9*o\/2 + 27\/2.\nAnswer: (o - 3)**4*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.40459*1.8.\nAnswer: -18.728262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8983537 - 8522701.65. Let m = 460844.3500054 - w. Let v = m - 9. Round v to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/44, 5, -0.78, 28?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20158 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 513 - 501. Let v(x) = 6*x - 42. Let g be v(n). Solve 5*z - g = 2*a, 5*z - 2*z - 2 = -2*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77975727 a multiple of 2829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 431423\/71400 + -2\/2975. What is the common denominator of f and -27\/236?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2602 + 2*j - j**2 - 9527*j**3 - 1306 - 1296 as r + b*j**2 + u*j + l*j**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 + 32*s - 3275. Is p(54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 26 = l. Solve 0 = 3*w - 4 - l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5999896 is divided by 537?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6071417 (base 10) to base 5\nAnswer: 3023241132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 1855839.\nAnswer: 42684297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f - 23 - 12*f + 18*f + 3. Let r be m(-6). Is -15\/2 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 63*g + 755. Let d be j(16). Solve -5*w = -d*p, -2*p - 5*w = 11 - 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 123\/4. Let w(r) = -r + 13. Let u be w(-12). Suppose 0*f + 5*f = u. Which is the second smallest value? (a) 0.3 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852386963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/6 - 16*m**2. Determine t(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.8 (b) 169 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, 2, 19, 54, 113?\n\"Answer: d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 1. Let i = -12 - -14. Let q be 10\/14 + i\/7. Let z(k) = -3*k**2 + 2*k - 4. Determine q*z(u) + 2*a(u).\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -6. Let k(b) = -b**2 - 11*b + 6. Let w be k(z). What is the greatest common divisor of 51 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k + k - k)*(0 - 1 + 2) + 145*k - 75*k - 73*k in the form u + m*k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qqqqqggqq?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, f: 7, y: 5}. What is prob of sequence uffy?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -5407205038 and -1.\nAnswer: -5407205039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*i - 27*i + 157*i.\nAnswer: 188*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m**2 - 2*m + 1. What is y(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by ((-412)\/(-927))\/((-4)\/(-198))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 26*l**2 + 72*l - 48. What is the hundreds digit of t(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10267233 (base 9) to base 7.\nAnswer: -60016014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4586 - (65\/13 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-55) - (-26)\/10. Suppose -z*n = -0*n + 1580. What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 2. Let q(n) = -3426*n + 1137*n + 1 + 1142*n + 1146*n. Let o(l) = l + 1. Give t*o(b) + 3*q(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*2\/(-2) - -2. Suppose 3*j - 2*g + 1 + 1 = 0, 0 = -j - 4*g - 24. Let v = -137 - -142. Put v, x, j in ascending order.\nAnswer: j, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = r + 9, -87 = 3*r + 2*l + 3*l. Let a = r + 23. Put -3, a, 2 in increasing order.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378413231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360, 505, 652, 801, 952?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34532 + 36579. Calculate the remainder when k is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -25 - (1 - (-3 - -1)). What is the lowest common multiple of (2\/q + (-56)\/(-98))*42 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 + 1405*w**2 - 117800*w + 2537040 = 0. Calculate w.\nAnswer: 33, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 - 1 - 5*j**3 + 0*j + j. Suppose 0 = -60*p + 57*p + 2*w - 6, -3*w = -4*p - 8. Determine h(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y**4 + 1\/3*y**3 - 1 + 0*y + 0*y**2 - 1\/5*y**5. What is the third derivative of l(c) wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2 + 8\/5*g + 3\/5 = 0?\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:54 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/((-2)\/10). Solve -h - 3 = y*h + l, 4*l + 12 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 2*c + 5. Calculate the smallest common multiple of 54 and f(3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 905*k**2\/2 - 607425*k\/2 - 9316125\/2.\nAnswer: -(k - 1365)**2*(k + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16478*d*w**2 - 12465*d*w + 9*d - 3*w**2 + 2*w wrt w.\nAnswer: 32956*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose -2*q = -d*q - 5. Let g = 4 + -10. Is q smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:21 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/416)\/(2\/(-8))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38008 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7702224 at least as big as -7702224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2673 by 11054.\nAnswer: -2673\/11054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-574)\/123*180\/(-280).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 0, 5*t - 5*k = 4*t - 28. Let a be t*100\/24*-2. Is 12 a factor of (-6)\/(-4)*a*2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -266, -263, -258, -251, -242, -231?\n\"Answer: d**2 - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(95)*3 + sqrt(95)))\/(sqrt(45)*-1 - (-2*sqrt(245) - sqrt(5))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84556\/29 greater than 2916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1300) + (1 + sqrt(1300) - sqrt(1300)).\nAnswer: -2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:22 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 4*m**2 + m**2 + (7*m - 17*m + 6*m)*(3 - 3 - 2*m)*(-1 - 1 + 1) as w + q*m**2 + t*m and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - (sqrt(300) + 0)*4.\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.08. Let m = -21.968 + -0.032. Let v = m - -22.01. What is the second biggest value in a, -3, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41470*y**4 + 2*y**2 - 154760 wrt y?\nAnswer: 165880*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16108 - 15910. What is the highest common divisor of s and 58410?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**2 + 17. Let y(i) = -4*i**2. What is z(y(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/5 + (-112)\/40 + 2 + 27582 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafrfrorpappofpr. Give prob of picking 2 a and 2 r.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 3*n - 1. Let b be x(3). Let g(z) = z**2 - 6*z + 3. Let j be g(3). Let y be (-80)\/525 + j\/(-21). Is b at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5))**2*-4 + sqrt(48)*1.\nAnswer: -12 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873434967.\nAnswer: 3, 291144989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1014504 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 4*b**2 + b**3 + 1 + 0*b + 2. Suppose 4*a - 13 + 49 = 0. Let z = a - -13. Give o(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 8, -4 in decreasing order.\nAnswer: 8, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/64)\/(2\/16). Suppose -8 = -f - 2*s, 6 = 3*f - 0*s - h*s. Solve 3*r = x - 3*x - 5, f = -2*r - 2*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1036 to three dps.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - 1 - (-1 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 60*z + 202. Let h be f(-11). Suppose 7*y - 28 = 3*y. Suppose v - 18 = y. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (175 - 122) - -135.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 = -37. Let k be 8\/6 + (-10 - p). Is k at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694549 at least 3389097\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*n - 0*l + 32, -n - 2*l + 32 = 0. Let h = 483 + -468. What is the least common multiple of h and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.7222548 to two dps.\nAnswer: -83.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -25 - (-17 - 27)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 - -136.759. Round w to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 - 139368*f - 4855859856 = 0.\nAnswer: -69684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s. Suppose 0 = 3*f - 12, 2*n - 5*f = -2*n - 32. Give q(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828800 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7151 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -95*x + 25056. Calculate the greatest common divisor of 2916 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 9*w**2 - 7*w - 3. Let p(f) = -2*f**2 + 10*f - 17. Let j be p(4). Let q be x(j). What is the derivative of q*t + 4 + 30*t**4 - 60*t wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62572 - -9?\nAnswer: -62563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - b**4 - b**4 + (-2*b - 4 + 4)*(-7*b**3 + 0*b**3 + 3*b**3))*(-32 + 53 - 44)*(8 + 0 - 3).\nAnswer: -805*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321 + 1327 = -6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2112)*-1*2)\/(sqrt(3) + sqrt(3) + sqrt(6)\/(sqrt(2) - 3*sqrt(2)) + sqrt(3) + (sqrt(3) - sqrt(21)\/sqrt(7)*2)).\nAnswer: -64*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/(-301)*(-14)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3846 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: Let j(n) be the first derivative of 366*n**5\/5 + 269*n**3 - 532. What is the third derivative of j(v) wrt v?\nAnswer: 8784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 830 divided by 2.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-45)*3*5. Suppose -a*t = -3*t - 38. Suppose -8 = -o - 4. Solve o = 5*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 16. Suppose 0 = 5*y, 3*j - s*y = -2 - 1. Let k(n) = 14*n**3 + 12*n - 12. Let f = 10 + -22. Let p(t) = -t**3 - t + 1. What is f*p(m) + j*k(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053281, 1053291, 1053307, 1053329, 1053357?\nAnswer: 1053391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytydgeeedeydede. What is prob of picking 3 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-30)\/432*(-408)\/4590)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -0. Suppose y - o + 3 = 0. List the prime factors of y\/4*(-3 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5033 - 3?\nAnswer: 5030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 23 - 22 - 5*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*f - 0*i + 80, 3*i = -f + 13. Let w(z) = -z**3 - 8*z**2 + 14*z - 3. Let g be w(-10). Calculate the highest common divisor of g and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 718, 714, 704, 688, 666, 638, 604?\n\"Answer: -3*p**2 + 5*p + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2604 - -2576. Let l be (-9 + 2)*36\/(-7). Let p = g + l. What is the greatest common divisor of 88 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c + 10. Give x(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18263779, 18263784, 18263791, 18263800?\nAnswer: 18263811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpzzzzp. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let k(s) = 0*s + s**3 - 2*s**2 - 10 + 7*s - 6*s**p - 2*s**3. Does 4 divide k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110463155 (base 7) to base 6.\nAnswer: -354552412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*p - 4, -3*p + 3366*k + 0 = 3363*k + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902, 915, 928, 941?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 2, y: 4, j: 2, i: 3, e: 2}. Give prob of picking 1 j and 1 m.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8a (base 15) to base 11.\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10)*(-75)\/(-20))\/((-57)\/(-152))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660089617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 17. Let v(z) = 24*z + 270. Calculate the remainder when j is divided by v(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001917481 rounded to 6 dps?\nAnswer: 0.001917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 7*g - 6*g. What is the remainder when 130\/(-4)*3\/g*-28 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3*((-6)\/9)\/(84\/(-21))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7 - 2*j**3 + 0*j + 2 - 5*j**2 + 3*j. Is 18 a factor of h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 2 + j**3 - 1 + 3 + 7*j**2. List the prime factors of s(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 - 2*f - 1. Let q be u(-1). Let j be 3\/2 - q\/(-8). Suppose -4*g = -5*n + 259, 4*g + 4 = -j*n + 102. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let n(t) be the third derivative of -t**4\/12 - t**3\/2 + 2*t**2. Let m(p) = p + 1. Let s(x) = -12*m(x) - 4*n(x). Calculate o(s(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 - 3 + 8*c + c**2 - 3*c. Let a be r(-4). Let d(b) be the second derivative of b**4\/12 + 5*b**3\/6 + b**2\/2 - b. Give d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + (-2872)\/(-350). Let a = 1643\/400 - k. Let j = -4\/55 - -731\/220. What is the common denominator of j and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 6*o = -3*r - 5, o - 7*r = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Suppose 0 = -w*h - 2*h + l + 26, -4*h + 3*l + 54 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1070*v**6 - 6*v**4 + v**3 + 48002*v**2?\nAnswer: -128400*v**3 - 144*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -19*n - 35. Let v be f(-2). Solve v*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**5 + 5085*r**4 + 187281*r**3 - 2679369*r**2 = 0.\nAnswer: -1657, -49, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289 + 105. Let k = 194 - s. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179169 is divided by 264?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1275 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(612) - (-1*sqrt(612) - sqrt(612))))**2.\nAnswer: -72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -283 and -286 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.4806ml to litres.\nAnswer: 0.6124806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56744 and 1257716?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (8 - (-3 + -2))) + -12 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 556968767 and 5305?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 - 4*z**2 + z - 4. Let u(l) = 4*l**3 + 2*l**2 - l + 2. Let i(q) = 3*f(q) + 5*u(q). What is i(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s + j, 5 = -2*s + j + 6. Let y(n) = -n - 3 + s*n - n - 2*n**2 + 0*n**2. Determine y(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*x, 4*x + 2 + 2 = -3*s. Let c = -5 - -7. Is (-3 - (s - c))*-7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 25 + 85. Solve -5*b = -2*b - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580711073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4.2, -1\/21, 171, -99?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1508 (base 10) in base 9?\nAnswer: -2055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (72 - 23) + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13)*1 + -4*sqrt(52).\nAnswer: -7*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2614, -5, 5, 130, -2, -1, -3 in decreasing order.\nAnswer: 130, 5, -1, -2, -3, -5, -2614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -4\/217, 1, 15.8, 2.4?\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 29*h**2. Let z(x) = -1605*x. Give z(o(g)).\nAnswer: -46545*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9 + 15. Calculate the lowest common multiple of 14 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18222, 18989, 20268, 22059?\n\"Answer: 256*s**2 - s + 17967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:57 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 369\/5. Factor 1\/5*d + i*d**3 + 0 - 2\/5*d**2.\nAnswer: d*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.23112 and 0.5.\nAnswer: 1.61556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 648824148 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 1. Let v be h(-3). Suppose -11 = v*p - 51. Suppose p = -2*t - a, -t + 9 - 35 = -5*a. Is t at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3655)\/51)\/43*6\/5. Let a be (9\/2 - 2)*2. Let t(z) = -2 + a - 1 + 8*z. Calculate t(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*a = 18, p + 38 = 6*p + 4*a. Let q be 40\/15*p\/4. Suppose -5*b + 57 = n, 5*n = -7*b + q*b + 285. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(128) + ((-3*sqrt(264) + sqrt(264))\/sqrt(11))\/sqrt(12))*-3)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 79, 68, 53, 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22755 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 117*n + 240. Calculate s(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.99999937 - -21. What is z rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 7 (c) -1.11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 6*i**5 + 2*i**5 + 2*i**3 - 2*i**3 + i**5 - 4*i**3 - 2*i**5 + 4*i**3 + i**4 - i**4 - 2*i**5 + (3 - 3 - i**2)*(3*i**2 + i**3 - 3*i**2).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -174746, 5 in descending order.\nAnswer: 5, -28, -174746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:04 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(343) - 2*sqrt(343))*1 + -2 + 5*sqrt(14)\/sqrt(2)).\nAnswer: 8 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426195847?\nAnswer: 7, 11, 5535011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -31.55. Let z = t + -43.55. Let i = z - -43.2. Sort -32, i, 3 in decreasing order.\nAnswer: 3, i, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 33\/5. What is the second biggest value in -15, -5, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*a = -208*a + 121*a + 1113 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (11 + (-19 - -4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Find the second derivative of -2*s**3 - s - 3*s**m + 8*s wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:03 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5341 - 10259. What is s rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 7*b = -5*n - 67, 3*n + 47*b + 49 = 48*b for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(72))*-6 + sqrt(72)*2 + 0)**2 + 5.\nAnswer: -288*sqrt(2) + 1193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:20 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -0.45, -56 in descending order.\nAnswer: 4, -0.4, -0.45, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -332 (base 6) to base 4\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3690)\/287)\/(-45)*1225\/10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 21 - 85 = 0. Suppose -4*i + 36 = -5*c, -4*i = -0*i + 2*c - 8. Suppose i*j - w = -0*j. Calculate the least common multiple of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_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 least common multiple of 232584 and 18?\nAnswer: 697752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/(-12)*64\/10. Let o be 33\/m*-4 - 4. Which is greater: 19 or o?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + b + 5. Let f(l) = -2*l**3 - 24*l**2 + 4*l + 42. Let g(j) = -f(j) + 3*t(j). Determine g(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 52. Suppose i = 2*j + 2*r + 4 - 52, -5*r + 5 = 0. Solve 2*f = 5*o - j, f = 3*o - 7*o + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adz when three letters picked without replacement from cdzrcac?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/82 and 145\/1476?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3973 + -2517. Calculate the lowest common multiple of 1092 and c.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268601006.610901 - -268600724. Let m = 282.481 + c. Let p = -0.13 - m. Round p to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + 85*o**2 + 85*o - 16. Determine x(22).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-12) - (-44)\/(-264))\/(-1). Factor -15\/2*p**2 + 5*p + 0 + 5\/2*p**4 + v*p**3.\nAnswer: 5*p*(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 12*f + 12 = 0. Let h(z) = -f*z + 30 - z + 6*z - 3*z. Let p be h(14). Solve -i - 3 = -p*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258453926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 566*t - 37664.\nAnswer: -2*(t - 176)*(t - 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (55706\/(-460))\/(-173)*-10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 5*x - 7. Let f be j(6). Let g = 0 - f. Suppose -5*w = 3*p, -5*p - w = -2*p - 12. Put g, 0, p in ascending order.\nAnswer: 0, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 407*m + 6104. Determine o(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11534*d + 25058*d + d**5 + 756*d**3 + 17*d**3 - 10896*d wrt d.\nAnswer: 20*d**3 + 4638*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-520)\/12*(-1)\/15)\/(1350\/1215)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/5*-1*50\/(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 247\nAnswer: 5\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6372 and 23652.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.94. Let g = l - -9.06. Let h = -9.000063 + g. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*o + d - 5, -3*o - 4*d = 5. Let h(p) = p - 2 - 5 + 0 + 0. Determine h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -f + 6*f. Let o be (-2)\/f + (-18)\/4. Let q(c) be the second derivative of c**5\/20 + 5*c**4\/12 + c**3\/2 + c**2\/2 - 4*c. Determine q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10\/3, -63\/55 in decreasing order.\nAnswer: 0, -63\/55, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/3 + 5*n**4\/3 + 292*n**3\/3 + 421*n**2\/3 - 4*n\/3 - 140\/3 = 0 for n.\nAnswer: -10, -1, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 441.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 + 2?\nAnswer: 22201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -51 + 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (780\/(-91))\/(-10)*(-11)\/44\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 105, 126, 165, 228?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 10*j + 2*j - 17 - j. Let i(x) = 4*x + 6. Let w(p) = -17*i(p) - 6*z(p). Let o(b) = -19*b**2. Determine w(o(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17517336 divided by 834\nAnswer: -21004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/504 and 2\/5982669.\nAnswer: 47861352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1736204440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 10*n + 0*n**2 + 13 - 1\/4*n**4 + 0*n**3. Find the first derivative of j(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p - 4*l, -4*p - 5*l - 6 = -3*l. Is (742 - p) + (-24)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -34*c**3 - c**2 - 6*c - 6. Give d(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 16 = 20*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-777)\/(-261) - 3 - (-1770968)\/22986879.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39194?\nAnswer: 2, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 56. Let n(z) = -3*z - 55. What is 4*n(s) - 5*q(s)?\nAnswer: -2*s + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:16 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19d + 4a?\nAnswer: 1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629766060?\nAnswer: 2, 3, 5, 7, 11, 271, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192256428?\nAnswer: 2, 11, 23, 1013, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 126 = 5*g. Suppose 5 = 15*i - 10. Calculate the smallest common multiple of g and -4 + 9 - i*-35.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-18))\/(1\/((-30)\/8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbb when three letters picked without replacement from {q: 2, b: 4, h: 7, j: 3, u: 1, m: 1}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20\/8 - 4\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfijifyiyiarijryr. What is prob of picking 1 r and 1 f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116422, -116419, -116416, -116413, -116410?\n\"Answer: 3*w - 116425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (-5 + 0 + sqrt(475) + 2 + (sqrt(475) + (sqrt(475) + sqrt(475)*-1)*-5)*6)**2 + 3).\nAnswer: -139752 + 1260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -2\/21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 12:46 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 + 13 - 8 + 8*m**2.\nAnswer: -17*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7.7 (b) 2632 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21104, -21093, -21082, -21071, -21060?\nAnswer: -21049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761264513 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m - 20 - 32. What is the remainder when m\/((-15)\/(-18)*6\/(-60)) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351963014 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide -49*(-464)\/448*(-1 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -5377\nAnswer: 2688.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 11*b - 25. Let w be f(7). Suppose 4*j = w*q + 405 + 877, j + 4*q - 330 = 0. What are the prime factors of j?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5, -3*v + 3*o = -o + 11. Suppose 5*i - v*p = 2*i + 426, 5*p = i - 122. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 24*s = -16*s - 1105. Calculate the remainder when s is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4087489194+1.4\nAnswer: 4087489195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 4*x - 7. Let v be z(-6). Solve -2*j = -3*p - v*j, 2*p + 3 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*k - 2738 = -706 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/576*15*1\/(-6)*4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)\/(-4 - -2). Let l be 0 + b*(-1)\/4. Let v be (l + 5)\/1 - 1. Let j(s) = s**2 - 2*s - 2. Give j(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 4*m - 0*n - 2*n, 25 = -5*n. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/24*-3*8\/1980?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26275 or 26299?\nAnswer: 26299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 9*k - 3. Let u be x(9). Which is the smallest value? (a) u (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 + 3*w - 31. Let j(y) = 19*y**2 - 11*y + 122. What is -22*b(v) - 6*j(v)?\nAnswer: -4*v**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 7. Let r = 22 + n. Solve -v = 3*q + 3, v - r*q = -2*q + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*2\/((-6)\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-5*2 + sqrt(170))\/sqrt(10)*3.\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 5. Solve 0*k + 3*c = -3*k, k + r*c = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18129.\nAnswer: 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8*t - 168. Let q be -8*(2 + (-87)\/t). Which is the second smallest value? (a) q (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 54*n - 3332. What is h(42)?\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2129 - -2140. What is the remainder when 846 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 24*t + 11*t + 13 = -14*t, 5*t = -q + 2*t - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -3*i - 180. Let z = -25 + i. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7246753 is divided by 3623314.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.103 * -4651.48.\nAnswer: -479.10244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - ((-8)\/4 + 12). Let c be (-4)\/4*(3*y - -1). Let n(w) = w**3 - 16*w**2 - 13*w - 23. List the prime factors of n(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126.1 - 121. Let k = m + -5. What is k rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -1336829957294.\nAnswer: -1336829957294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*x = 25, -5*l + 27 - 2 = 3*x. Let u(j) = 4*j**2 + 4*j - 3. Let q(w) = w**3 + 8*w**2 + 7*w - 5. Let o(t) = l*u(t) - 3*q(t). Factor o(b).\nAnswer: -b*(b + 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + 39b3?\nAnswer: 397f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -o - 2498 + 2501, 3*y = -5*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*f = -242*f - 16, 5*c = -5*f + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(15\/6 - 1). Let b(h) = h**3 + 5*h**2 - 6. Let z be b(q). Let x be 3\/z + (-92)\/(-16). Solve -3*d = -x*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 35. Suppose -44 = -6*x + 4*x. Let a = x + -42. Does 23 divide z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -s - s, -3*l = -9. Let g be (-26)\/(-12) + (13 - 474\/36). Does g = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*z - 4, -5*z = 2*r + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -1\/6, 5, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 10. Determine o(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5181 > -5185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = y + 5, 62 = 5*v - 5*y + 97 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/605 - -3273\/605. Let n = 43\/5 - 5. Suppose 12\/5 + n*g**2 - 3\/5*g**3 - z*g = 0. What is g?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/5 and 6\/(72\/(-426)) + (-9)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -7*n**3\/2 - 2*n**2 - n. Let o(v) = -224*v - 216*v + 4 - 192*v - 3 - 225*v + 861*v. Give -11*o(m) - 2*z(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/16)\/((-15)\/(-36))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-12) + (-1236)\/(-9) is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 1. Suppose -7*y = -5*y - 6. Let z(v) = -2*v + 5. Give y*d(j) - z(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1*sqrt(539)*3 - sqrt(539) - (sqrt(539) - sqrt(539)*2)*-6) + -1 + -3))**2.\nAnswer: 3584*sqrt(11) + 138240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1104\/7*i + 180\/7*i**2 - 2960\/7 + 4\/7*i**3.\nAnswer: 4*(i - 2)*(i + 10)*(i + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 39. Let l be (-18)\/1 - (-6 + (-14)\/(-7)). Let i be c(l). Solve 2*v = i + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*t**2 + 0 + 4 + 0 - 3*t**2.\nAnswer: -242*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t. Let u(c) = -8*c**2 + 2*c. Let g(h) = -6*n(h) + u(h). Factor g(p).\nAnswer: -2*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.127 - 340.95.\nAnswer: -340.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9584490 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -869 and 273 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1193 + 1340. Calculate the greatest common divisor of l and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1318400745021\nAnswer: -1318400745019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 127. Let j(m) = m**2 - 4*m. Let n be 5 - (0 - -2 - 1). Let w be j(n). Solve w = -q + p*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 - k - 2. Let a be n(-4). Suppose -a*y - 5 = 35. Let u be (y\/3)\/((-1)\/3). Solve -2*g + u = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -10*c + 5. Suppose 4*v - 2*t = -8, v = -0*v - t + c. What is the tens digit of 1*v\/(-2)*42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*c + 15 = 0, 4*g - 3 = 3*g - 2*c. Let w be (-68)\/(-8) - g\/2. Suppose 0 = -w*o - 97 - 127. What is the common denominator of o and -1\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -16.987. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*y - 18 - 14, 25 = 3*w + 4*y. Let t(u) be the first derivative of u**4 + 3*u**3 - 9 - w*u**3 + 3 + 4*u**2. What is p in t(p) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 97. Put -5, 4, z, 5 in descending order.\nAnswer: 5, 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94267442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2656.749 - -2654. Round l to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16017652 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 870 - 738 = 0. Calculate the greatest common factor of t and 2881.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 35, -0.5, -40.6, 1, -4.\nAnswer: -40.6, -4, -0.5, 0.8, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4576112 (base 10) to base 6.\nAnswer: -242025412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from zvovoxd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4 - 1538*f**3 - 146682*f**2 + 222722*f - 74498 = 0.\nAnswer: -193, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 393, 84 in decreasing order.\nAnswer: 393, 84, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -103\/5*k**3 + 18*k**2 - 3 + 28\/3*k**4 + 3*k - 1\/2*k**5. Suppose f(h) = 0. What is h?\nAnswer: 3\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1066.\nAnswer: 3\/1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -312 + 24. Let t be (-3 + 5)*-9*4\/p. Solve 0 = l + t + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 678*f**2 - 22*f + 154*f**2 + 1429*f**2 - 4. Is v(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.8457 years to months.\nAnswer: 9466.1484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-33)\/y**21 assuming y is positive.\nAnswer: y**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3 + 13*p**2 - 845*p + 6591 = 0.\nAnswer: -39, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from fbkkkkbkkkkbkb?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 22650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -g. Suppose g*k - 8 = -k. Is 2\/k + (80 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 12 = 13*i + 15*h - 18*h, -59*h = -151*i + 149*i + 106 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-189)*(70\/75)\/7.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n. Suppose 5*b = b - 5*m + 204, b + 3*m - 58 = n. Suppose -3*d + z + b = 3*z, d = 2*z + 26. What is the remainder when 51 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1571*h**2 - 3*h*z**2 - 353338*z**2 wrt h.\nAnswer: 3142*h - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*-20)\/((-6)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870.5279 millilitres in litres?\nAnswer: 0.8705279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.022 - 0.022. Put x, -0.4, -6, 1 in descending order.\nAnswer: 1, x, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from cvjpvzjczdcz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61924 - -116602898\/1883. Find the common denominator of f and -103\/28.\nAnswer: 7532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32182056053\/619 + -51990428. Let s = c + -1\/1238. What is the common denominator of s and 57\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-292)\/(-12) + 3)\/(1\/3). Suppose -r*h + 99*h = 102. Calculate the greatest common factor of 78 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363958 is divided by 5262.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + t)*(222 - 60 - 76)*(0 - 1 - 1)*(3 - 3 - 2*t**2).\nAnswer: -344*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -4*h**3\/3 - 33*h**2\/2 - 10*h + 39. Does 2 divide t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11870 by 1187.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2522 and 0.4969.\nAnswer: 1253.1818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/9 - 54392*d**3\/9 + 12086*d**2 + 54392*d\/9 - 108776\/9 = 0.\nAnswer: -1, 1, 2, 27194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 23 - 2. Let c be (t + -2)\/((-9)\/(-12)). What is the second biggest value in -5, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53*2\/6)\/(3362\/(-10086))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0588 + -0.1.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -378230, -756534, -1134864, -1513232, -1891650, -2270130, -2648684?\n\"Answer: -2*l**3 - l**2 - 378287*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112917837684.2 plus -0.3?\nAnswer: 112917837683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 3056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_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: -463 times 0.4426\nAnswer: -204.9238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*w. Solve -o - 3*o + 16 = w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*g**5 + 57*g**4 - 21*g**3 - 117*g**2 - 27*g = 0. What is g?\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4, -2\/11, -7, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -6726375?\nAnswer: -6726371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t. Let i(f) = 53*f + 58*f + 51*f - 163*f. Give y(i(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15*q + 7. Let u(d) = 7*d + 5. Let r(f) = -2*k(f) + 5*u(f). Let l(w) = -6*w + 1 + 2 + 17*w + 18. Let n(x) = 4*l(x) - 9*r(x). What is n(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 2*y**2 - 16*y\/7 + 32\/7.\nAnswer: -2*(y - 1)*(y + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -586\nAnswer: 3\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 3519?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1864 + 685?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 244 + 135 + 15*u + 55.\nAnswer: 15*u + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3 - 3 + 6*r + 0 - 3. Let l be h(7). Let g = -32 + 54. What is the highest common factor of g and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 2144\/(-272)) + (-70)\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.8 - -5. Let j = 0.31 + k. What is j rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*z**3 - 22208\/7*z - 44288\/7 - 400*z**2.\nAnswer: -4*(z + 4)**2*(z + 692)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/720*2\/7. Let g = -571 + 570.8. Which is the third smallest value? (a) g (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100749230.\nAnswer: 2, 5, 10074923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*f. Let q(w) = -w**3 - w**2 - w + 203. Is q(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*j**2 + 46*j**2 + 5 - 20 + 4*j**3 + j - 6*j**3 to v*j**2 + h*j + n*j**3 + d and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 671 (c) 3 (d) -325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:17 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h\/(h*h\/(h\/h**(-7)))))**50\/((h**3\/h**4)\/(h\/(h**(-1)*h))**(2\/11)) assuming h is positive.\nAnswer: h**(-7687\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 704.67697 rounded to zero dps?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-121 - 93 + 178)*(8 + 7 - 14)*(-3*q + 3*q - q**2) to the form x*q + k*q**2 + l and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 54*k - 184. What is x(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/7280 and -89\/2184.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f - 1. Let a be c(1). Let g be (8\/(-10))\/((-2)\/5). Suppose 8 = 3*v - 2*v. Solve a*y - 4*y - g*x = 8, 2*y = -4*x + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-34)*-1*(-4)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 1025*v**2 - v + 1 - 1009*v**2)*(4*v + v - v) + v**3 - 2*v**3 + 2*v**3.\nAnswer: 65*v**3 - 8*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 225195212 to the power of 1\/2, to the nearest integer?\nAnswer: 15007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5165.9 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9231 = 112*h - 115*h. Let j = -1926 - h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/36)\/((-150)\/(-18450)*-41)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/(1\/10). Suppose -3*k + 5*p = -c - 3, 5*k + 5*p = 25. Suppose -5*q - 6 = 4*m, -3*m - 5*q - 8 = -m. Sort m, k, -2.\nAnswer: -2, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3\/2 + 279*v**2\/2 - 5541*v\/2 - 35055\/2 = 0.\nAnswer: -5, 41, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -32765847.3 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -16. Suppose 0 = 2*b + g - z, -3*g = 4*b - 5*g + 18. What is the nearest to b in -3\/5, 2, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -23 + (15 - 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95183\/10 + 9516. What is the common denominator of 67\/1316 and o?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.058 + -0.037. Let q = w - -0.04. What is q rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 12*c - 33 - 17*c)*((3 - 4 + 2)*(-7 + 3 + 2) - 1 + 1 + 1 + 3 - 2 - 3 + 3 - 2 + 1).\nAnswer: 5*c + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10595042 to the nearest integer?\nAnswer: 3255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1648 and -9\/721?\nAnswer: 11536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -807, -668, -529, -390, -251?\n\"Answer: 139*v - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 + 3*h + 2. Let u be j(-2). Suppose 0 = 5*x - u*x + 50. Let z(w) = w**3 + 9*w**2 - 14*w - 4. Does 18 divide z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 20 = 5*u, -2*x + 34743910*u = 34743908*u - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4871\/5289 - -41\/43. Do 1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(63\/1260)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-9 - (-8 - -17)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25762.9 + 25763. Let n = 1.1 - 0.1. Which is the nearest to 2\/7? (a) -2\/9 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + 4*s**2 + 4*s + 2. Let p be i(-5). Let l = p - -170. Does 8 divide 1\/(-5) + l\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 54, -1\/5, -13 in descending order.\nAnswer: 54, 5, 0.3, -1\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**4 + 39*t**3 - 414*t**2 - 1404*t + 3240.\nAnswer: 3*(t - 6)*(t + 6)**2*(3*t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5377 is divided by 5376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-151)\/(-2)*(8 + -4). Let k = y - 174. Let h = -642\/5 + k. Which is smaller: 3\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-15)*q)\/(((q*(q*(q*q**5)\/q)\/q)\/q)\/q))**(2\/7))**(9\/4) assuming q is positive.\nAnswer: q**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846, 3823, 11854, 27465, 53182, 91531?\nAnswer: 145038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*s - 16, 4*s - s = 14 - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 591.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/20 + u**3\/2 + 7*u**2. Differentiate c(j) with respect to j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-32)\/2 - 3). Let q be h\/(-3) - 40\/10. Let x = q - -15. Put -1, -4, x in ascending order.\nAnswer: -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 6 + 3*k + 3)*(19*k**3 + 12*k**3 - 34*k**3).\nAnswer: -6*k**4 + 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252.1 + 252. Let c = -0.3 - 0.2. What is the nearest to y in -5, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116 + 150*t + 24*t**2 - 123*t**2 + 4*t**3 + 86*t - 25*t**2.\nAnswer: 4*(t - 29)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73936395 rounded to the nearest 100000?\nAnswer: 73900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 360.6645us?\nAnswer: 0.0003606645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16150517, 16150513, 16150509, 16150505, 16150501, 16150497?\n\"Answer: -4*r + 16150521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -181 in 2\/7, 0.34, 66, 1, 2\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149273, -149302, -149349, -149414, -149497, -149598?\nAnswer: -149717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 16*q**2 - 18*q - 20. Let m(v) = -6*v + 115. Let l be m(22). Let a be j(l). Sort a, 5, 0 in descending order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3613 (base 9) in base 14?\nAnswer: d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**4\/v)\/v*v**(5\/2))\/(v**(-2\/23)*v*v\/(v*v**(-3))))\/(v**(-8)*((v**8\/v)\/v)\/v)**(-28) assuming v is positive.\nAnswer: v**(-3837\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-813*t + 10*t**2 + 813*t)*(0*t**3 + 3 - 1 + 2*t**3).\nAnswer: 20*t**5 + 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 24*y**3 - 95*y + 93*y.\nAnswer: 36*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168 and 28?\nAnswer: 8176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 98185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 29*m + 53*m. Suppose 9*t - 90 = 4*t. Suppose -t = -m*b + 432. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-28)*x*x\/((x\/x**30)\/x))\/((x\/x**0)\/((x**(5\/6)*x)\/x)) assuming x is positive.\nAnswer: x**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1066641 + 0.4.\nAnswer: -1066640.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -554.377.\nAnswer: 1663.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-33))\/((24\/22)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-17 - -3)) + -4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f + 6. Suppose -8 = -4*h, 168*x + 3*h = 165*x. Calculate r(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j. Suppose 5*t + i = 11, j = 5*t + 2*i - 5*i - 7. Suppose -4 = -t*d + 10. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 0 - 4\/5*k**2 + 2\/5*k**3 - 8\/5*k + 1\/5*k**4 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + c**3 + 0*c**3 + (-4*c + c + c)*(c**2 + 0 + 0) + 38*c**3 - 7*c**3 - 14*c**3 as j*c**3 + u*c**2 + b + h*c and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*q + 3*u - 0*u, -2*u = -q + 43. Let p = q + -37. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 671153*o + 3355639. Calculate y(-5).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:04 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9301211.9 to the nearest 10000.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 8. Suppose l + g*z + 17 = 0, 0*l + l - 19 = 5*z. Is (1 - (-3)\/l) + 79 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 700, -3, 8852 in decreasing order.\nAnswer: 8852, 700, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -85. Solve 0 = 4*g + 2*u + y, -4*u - 5 = g + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -6 + 3*r**2 - 51*r**4 + 52*r**4 + 23. Find the second derivative of h(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:14 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3439.\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 7 - 8. Let q be -1*(1 + (-1 - t)). Let u = q + 6. Solve 0 = -3*s + u*n + 2 + 1, -2*s - 5 = 5*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 8603324*a - 17206664.\nAnswer: 4*(a - 2)*(a + 2150833)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Let d(f) = -f - t*f - 2*f. Let b(w) be the third derivative of w**5\/30 - w**2. Give b(d(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 216\/8 - (-1 + 4). What is the highest common factor of 264 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-31 + 25760\/832).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -925 + 897. Is u at least -169\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2376275 is divided by 791418.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34864861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 4. Let n be (-168)\/132 + 1\/o. Is n not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -638642 - -1002793. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.2 (c) -86 (d) -14 (e) -1\/9 (f) 3 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 465\/(-325) - (-8 + (-408)\/(-60)). Put -5, -4, -0.1, z, -0.06 in ascending order.\nAnswer: -5, -4, z, -0.1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. What is the units digit of 0 - (q - (2 - -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 19 - 4 = 0. Let -19*x**3 + 60*x - 75*x**4 + 63*x**2 + 12 - 64*x**3 + 23*x**g = 0. Calculate x.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4\/5)*f)\/f*(f\/(f\/(f*f**0))*f)\/f*f assuming f is positive.\nAnswer: f**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(2\/3)*m)\/m)\/(m*m*m**(-2\/3)\/m*m)*m**(-3\/4))**(-44))**(-8) assuming m is positive.\nAnswer: m**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-36) - (-2)\/(-6). Suppose -2*s + 66 = 3*b - 0*b, q = -2*s - 5*b + 66. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183\/2 - -94. Let w be (14\/(-6))\/((-175)\/50). What is the second biggest value in w, -3, j, -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 x, 1 l, and 1 s when four letters picked without replacement from {l: 2, x: 1, s: 1, k: 1, u: 2, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 35*l + 1. Let o(t) = 410203*t. Calculate o(f(d)).\nAnswer: 14357105*d + 410203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5 - 0.5. Let q = -0.069 + -1.931. Let i = 7 + q. Which is the smallest value? (a) i (b) -3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5)*(-8)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8093*b - 1975*b - 6881*b - 4023*b + 3561*b)*(0*b + 2*b**2 + 0*b) to the form i*b**2 + v*b + k*b**3 + h and give k.\nAnswer: -34822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/184 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*x + 363, -v + x - 3*x = -75. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 4 = -140. What is the least common multiple of h and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*j - 8, -j + 12 = 5*x + 2*j. Let t = 5 - x. Suppose t*p - 39 = 121. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - -264500080613.\nAnswer: 264500080553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - 7*k - 5. List the prime factors of u(-4).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-135)\/(-189) + 1250\/(-182)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = b + 224, 0 = -4*f + b + 396 - 352 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(-9) - (-10)\/45. Suppose k*o = -v - 0*v + 28, -3*o + 3*v + 36 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31658818 greater than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 112?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aboyiyuiiiayoiyii. Give prob of picking 1 y and 3 i.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u**2 - 12*u**2 - 2*u**2)*(168 - 592 - 182 - 159) to the form q*u**2 + c + x*u and give q.\nAnswer: 16065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Let s = 16 - j. Suppose 0*v = 2*v - s. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -40. Sort 0, 47, n.\nAnswer: n, 0, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165 - ((10 - -3) + -8 + 2).\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*c = 192*c - 90 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.523 times 2514?\nAnswer: -1314.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799550207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*k - 465 - 1710 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = y + 2. Let o(q) = -8 + 1 + y - q. Let w(m) = 9*m**2. What is w(o(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Let x(p) = p**2 + 8*p + 2. Let f be x(-8). Suppose -4*g = f*j - 8, i*j - 5 = 5*g - 2*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 + 546. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-47)\/(-66))\/((-40)\/(-6)). Let i = -1\/55 - j. What is the smallest value in 0.4, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/320 + (-486)\/20. What is the tens digit of 7 + (l\/6 - -352)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 15*y = 222 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w + 2. Calculate the lowest common multiple of (10\/(-8))\/(w\/(-4)) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u**4 + 3*u**3\/2 + 6*u**2 - 3*u\/2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258\/466505 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 34 = -10*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 3*c - 2*c. Let a(f) be the third derivative of 0*f**3 + f**2 + 0 + 0*f + 1\/24*f**4. Calculate o(a(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 3*k - 132, -3*n + 32 + 37 = k. Solve -n*h + 36 = 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from felllleeee. What is prob of sequence llfl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27929475 divided by 75.\nAnswer: 372393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/2624 - 19349\/7872. What is the common denominator of -25\/24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010001110 (base 2) in base 4?\nAnswer: 202032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3548*d - 3291*d - 6906*d - 3170*d.\nAnswer: -9819*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/13 - 13073730*t**2\/13 - 1643485273152*t - 21365295477248\/13 = 0. Calculate t.\nAnswer: -3268432, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w + 5*w - w. Solve 0 = -a - 5*u + 4, -a + 4*u - 8 + 3 = w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2074 smaller than 2076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.8202 - 37778518\nAnswer: -37778516.1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 95 = 4*o. Is o bigger than 33\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 663\/(-442)*92\/6\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:29 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 5*o**2 - 3*o**2)*(-3*o + 1 - 1) - 130*o + 130*o + 12*o**3 in the form n*o + c + s*o**2 + l*o**3 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/7074 and 39\/10.\nAnswer: 35370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6*l - 3*l + 3 = 0, 2*l + 2 = -w. Suppose -3*i - h + 58 = -0*i, 3*i - 2*h - 64 = w. Suppose z - 12 = i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/6295875 and 5\/117523.\nAnswer: 44071125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 71. Suppose -7 - 3 = 5*y, j = d*y + 13. Solve -3*u + h = -10 + 1, -5*u - j*h = -29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 4, -23, -70, -143?\n\"Answer: -v**3 - v**2 - 3*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*j + 3 + 3 = 0, 5*y = -4*j + 5. Sort -1, 0, y in descending order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 240 - 270 = 0. Let k be (-5*1 + -1)*-1. Find the second derivative of -6*q**5 - 6*q - k*q**a + q + 4*q**5 wrt q.\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/14*3*-1. Suppose 0 = -u*c + 8 + 10. Suppose -c*i = -i - 115. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x**2 + 4*x**2 + x**2 + x - 3 + x**3 + x**2 + 4*x**2. Determine l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 29*h + 26*h + 12, 2*h = -s + 8. Solve s = 116*y - 120*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509937 is divided by 169928.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-2 - -8) + 0. Let h be 9*1*(-2)\/a. Suppose h*g - 43 = 5*p, 3*g + 6*p - p - 83 = 0. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 59574750?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.06 - 0.06. Let l = -0.8354 - -0.3354. Which is the closest to 2? (a) x (b) -1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610680 is divided by 232?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 - 5894.\nAnswer: -5943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 3. What is the biggest value in t, -1, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:41 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830 is divided by 1911?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -88. Let g be w*4\/(-36)*3. Let v be g\/(-14) - (-1)\/8. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2904818 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 543073, 1086155, 1629243, 2172337, 2715437, 3258543, 3801655?\n\"Answer: 3*w**2 + 543073*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiiiiiiiiiii. Give prob of picking 4 i.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5876 + 5846. Which is greater: -32 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20609216, 20609203, 20609190, 20609177, 20609164?\n\"Answer: -13*q + 20609229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h + 534. Let k(r) = -4*r + 1. Give -2*k(w) - y(w).\nAnswer: -9*w - 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*u**4 + 3*u**2 + 2*u**3 - 19317*u + 19332*u - u**2 - 2*u**2 to x*u + n*u**3 + y + c*u**2 + q*u**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 39. Calculate m(-29).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 4. Suppose -6*v + 15 = -3*i - 3*v, q*i = 3*v - 15. Suppose 2*l + c - 24 = i, -4*l - l - 4*c = -63. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 12*s**2 + 48*s + 188. What is m(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 3. Let u(z) = z + 3. Suppose 0 = 10*q + 75 - 15. Let p(v) = q*l(v) + 5*u(v). Differentiate p(t) with respect to t.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(300))\/sqrt(6))**2 + -1.\nAnswer: -40*sqrt(2) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186 + -186. Let h = 0.2 + 0.3. What is the nearest to -1\/3 in o, 5, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/1*(10 + -23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = c + m - 1426, 5*c + 2*m - 7148 = 0. Let v = -783 + c. List the prime factors of v.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c**4 + 65*c**3 - 40*c**2 - 235*c - 140. Let b(q) = -7*q**4 - 33*q**3 + 19*q**2 + 117*q + 70. Let g(y) = -5*b(y) - 2*i(y). Factor g(h).\nAnswer: 5*(h - 2)*(h + 1)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 481, 961, 1441, 1921, 2401?\n\"Answer: 480*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 10*u**2 - 58*u + 376. Determine g(7).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 9*g + 2847. Let j(m) = 9*m**2. Calculate v(j(r)).\nAnswer: -162*r**4 + 81*r**2 + 2847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -233201, -466408, -699615?\n\"Answer: -233207*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*r + 2616 + 5409 = 12686 + 10994 for r.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 8651567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.4 + -35. Sort 14, h, -1\/11 in descending order.\nAnswer: 14, h, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/12 - 3*z**3\/2 - 11*z**2\/2 + 3*z. Suppose 5*h + 33 = -o + 5, 4*o + 28 = h. Determine j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from umuullquq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022523 (base 9) to base 3.\nAnswer: -1000202120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 3*c**4 - c**4)*(-4 + 3 + 3)*(2 - 2 - 8*c).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*x - 33*x + 24*x + 8*x**2 + 12.\nAnswer: 4*(x - 3)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 - 138*p + 0 - 826*p - 893*p as x + l*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -24. Let b be (1 - 1) + 2 - y. Let u = 20 + b. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 - -353. Let m = -152 + y. Sort -1\/7, 4\/5, m in increasing order.\nAnswer: -1\/7, 4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -15. Let c = 1.5 + -1.6. Let b = -2 - -1.8. What is the closest to b in t, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-14)\/105*-309. Suppose 0 = 9*i - 1 - q. Solve 2*c - 3 = 5*p - 0, -5*c = 3*p - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -82 - 2*o**2 + 164 - 81 + 5*o. Let u(i) = -8*i**2 + 10*i - 5. Let j(m) = -9*m**2 + 11*m - 6. Let r(g) = -6*j(g) + 7*u(g). Give -3*r(v) + 2*t(v).\nAnswer: 2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19\/30 - 13\/10. Which is the biggest value? (a) j (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 30 = -2*f, x + 4*f = -0*x + 27. Suppose 2*j - 46 = 5*a, -3*j - a + 38 + 31 = 0. Let l = j + -11. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/316348516 and 97\/22.\nAnswer: 316348516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(14\/966).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/14)\/m*(m**(-17)\/m)\/m)\/(m**(1\/36)*m**(4\/7)) assuming m is positive.\nAnswer: m**(-5209\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*l - 384*l + 233*l - 348*l + 186.\nAnswer: -807*l + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**2\/o)\/o)**13)**(-5\/7)\/(((o**(-6\/5)*o)\/o)\/o**(1\/6)*o**(-1)*o**5) assuming o is positive.\nAnswer: o**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.4347 centuries to months.\nAnswer: 5321.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 - -10031110?\nAnswer: 10032002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1 = 7. Let s be (2 - 5 - 16)\/(-1). Suppose 0*i - v = n*i - s, 0 = -4*i - v + 37. Solve 3*t = -3*g - i, g + 4 = t - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r**(-9)*r*r)))\/((r\/(r**(-2\/5)*r))\/r*r)*(r\/r**(4\/3))**(-7\/5) assuming r is positive.\nAnswer: r**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 211 - 113 = 10*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4, -5*m - w - w + 4 = 0. Which is smaller: m or -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 542, 920, 1616, 2630, 3962, 5612?\nAnswer: 7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from kydidyddiiiyyidkydd?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 2389*k - 2391*k + 12, -4*m - 24 = 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 1, f: 1, x: 4, e: 4, r: 1}. Give prob of picking 1 u, 1 r, 1 y, and 1 e.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550923107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + u + 10*u + 1 + 237*u**2 - 239*u**2 to g + y*u**3 + m*u**2 + n*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**2 - 101*s - 99. Determine x(22).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/339118 and -101\/4.\nAnswer: 678236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4434101*h*p**3 - 3*h*p - 13*h + 13047*p wrt p?\nAnswer: 26604606*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 8*z**2. Let i(b) = 2650*b + 254405. Let n be i(-96). Suppose 6 = 2*g - 4. Let r(j) = -1 + 1 + g*j**2 - j**3. Give n*f(o) + 8*r(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -102*a - 1287. Is f(-19) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 w when four letters picked without replacement from eoeeoeeeoeeeeeewewee?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 18. Let p be w(3). Suppose -147 = p*y - 921. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/109 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and -12?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2148\/372 + 13\/(26\/(-12)). Sort -2\/11, g, 1 in descending order.\nAnswer: 1, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {o: 1, a: 4, w: 6, n: 7, y: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 = 2*a, 0*a - 3*y = 2*a + 2. Suppose -4*n + 28 = 4*l + 8, -5*n + a*l - 5 = 0. Does 7 divide 0 + (n - 3) + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (17 + 6 - 14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -97*k**6\/60 - 26*k**4\/3 + k**3\/3 - 4*k**2 - 75*k. Find the second derivative of c(j) wrt j.\nAnswer: -1164*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.43 + -74.26429. Round p to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c - 7. Let z be k(1). Suppose -3*s = z*d - 546, 3*s + 370 - 106 = 2*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/2 + 4*l**3\/3 - 5*l**2\/2 + 11*l - 17. Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/3 + 25*m**2\/2 + 4869*m. Let u(c) = c - 13. Give 4*o(j) + 7*u(j).\nAnswer: -j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 599577178225?\nAnswer: 599577178223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486 - 52. Let j be (-1)\/(-5) + (-4)\/(40\/d). What is the greatest common factor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158\/21 + 1327\/168. Let x(b) be the second derivative of -b + 0 - y*b**4 - 1\/4*b**3 - 9\/40*b**5 - 1\/20*b**6 + 0*b**2. Determine r so that x(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7 = -112. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/72 and -49\/1586?\nAnswer: 57096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**2 - 38*g - 122. What are the prime factors of j(-13)?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((6*sqrt(171))**2 - (sqrt(684) - (sqrt(684) + -1 + sqrt(684)))**2) + (sqrt(38)*-2*-3)\/(sqrt(288) - 2*sqrt(288)) + -4.\nAnswer: -21886 - 97*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a - 2\/3*a**3 - 6\/5*a**5 - 4 + 3\/2*a**4 + 1\/3*a**6 + 0*a**2. Factor m(v).\nAnswer: 2*v**2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**6 + 0*y**3 + 0 - 11\/12*y**4 + 0*y**7 + 0*y**2 + 0*y**5 - 6*y - 1\/8*y**8. What is the third derivative of h(o) wrt o?\nAnswer: -840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/16*((-1058)\/(-345))\/(-23)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = 17. Let q = y + 60. Calculate the lowest common multiple of q and 4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 20101101110?\nAnswer: -20101101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 17*v - 200 = 0. Let g be v\/68 + (-6)\/51. Solve -3 = -2*s - d, -5*s + 10*s - d - 25 = g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = 5*y + 5*t, 3*y + 4*t + 379 - 23 = 0. Let r = y + 165. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, r: 5}. Give prob of sequence rr.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11144509?\nAnswer: 11144509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509363 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-15 - -10)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/((-330)\/(-7730)) + 9)*-11 is divided by 288.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2346 - 646?\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y - 1. Suppose 2*c - 2*d = 16, 4 = c + 3*d + 12. Suppose -c*g + 11 + 3 = k, -11 = 2*k - 5*g. Give q(k).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3335*k**4 - 20080*k**3 + 263045*k**2 + 1686370*k + 35280 = 0.\nAnswer: -8, -7, -14\/667, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5826130?\nAnswer: 2, 5, 23, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1821, -2, -5, 5 in descending order.\nAnswer: 1821, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = 2*i, q = 2*i + 3*i - 45. Let b be 47\/i + (4 - 9). Sort 2\/3, -15, -1\/2, b in decreasing order.\nAnswer: 2\/3, b, -1\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x - 2. Let y(a) = 3*a**3 - 13*a + 4. Give -9*m(h) - 4*y(h).\nAnswer: -3*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138587487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/343470 and -127\/120.\nAnswer: 1373880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5\/8 (b) 3 (c) -3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 27. Is (-425)\/r - (-4)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12875019, 25750047, 38625075, 51500103, 64375131, 77250159?\nAnswer: 90125187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 10. Let i(u) = -2*u**3. Let f(z) be the third derivative of z**6\/30 + 342*z**2 - 2*z. Calculate b*i(c) + 2*f(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -447 + 445. Let q(z) = -7*z - 3. Let h(r) = -8*r - 4. Calculate s*h(k) + 3*q(k).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-16)\/(-30))\/(-2)*50\/(-60)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211531 is divided by 315832?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 + 0 + (-4730)\/(-387). Suppose w*h - 5106 = -11*h. List the prime factors of h.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 29938.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10040 times -349.3?\nAnswer: 3506972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -8. Let n(q) = q**2 + q - 5. Is n(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) - sqrt(52)) + -4*(sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(13) + -1)))) - ((sqrt(13) - (sqrt(13) - (sqrt(1872) + 1))) + 4))**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114.47 + 114. Let r = j - 0.53. Suppose -13*h = -11*h. What is the nearest to h in -3\/2, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15927 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33536 and 4408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 12. Let l be (-320)\/8*(3 + -10 + 6). Suppose -z = 3*u - 10, -6*u + l = 4*z - u. Calculate the highest common factor of t and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*h*y**5 - 11*h*y**4 + 16*h*y**2 + 2*h*y + h + y**3 wrt y?\nAnswer: -420*h*y**2 - 264*h*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 37 = 2*o - 5*x, -4*o + 2*x + 76 = 0. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 27*k**2 + 1018*k + 18223. Calculate w(-41).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15540 divided by -5.\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {h: 1, b: 3, x: 5, q: 3, j: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*u + 4*g, -5 = -2*u + g + 46. Suppose 714 = u*l - 16*l. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2664 and 1110.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 9*h**2 - 6*h + 3. What is n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.05, -3\/8, -219?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/84*4)\/(-2). Let g = -10.1 - 2.9. Sort t, g, 4\/3 in descending order.\nAnswer: 4\/3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1009, -564, 0.07, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Let h = 74 + -31. Suppose 0 = -5*m + h + 12. Let f(t) = -m*t + 20*t - 8*t. Calculate f(n(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 39 + 36. Let d be 2*(-9)\/6*10\/(-3). Let z be (-4)\/d - (1485\/(-25))\/11. What is the highest common divisor of p and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3 - 20716*d.\nAnswer: -20716*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-12) + -2)\/((-20)\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*p + 35420 = 660*p + 264*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - j - 20 = -5*z, -z - 16 = 5*j for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:54 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*d - 4*d - 14, 0 = 4*b - 3*d - 17. Suppose 4*s - 8*s - 2*h = -54, -b*s + 30 = 4*h. Solve -3 = 5*x - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 20 = 10*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266903009.\nAnswer: 17, 67, 234331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 1, 5, -19, -40, -4, -3 in descending order.\nAnswer: 5, 1, -3, -4, -19, -40, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 41. Let i = 24 + x. Calculate the greatest common divisor of i and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*x = 14, -12*y + 9*y = -5*x + 18. Calculate the least common multiple of 15 + y + (-6 - -12) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let v(h) = 3. Let d(s) = -s**2 - 13. Let q(x) = 6*d(x) + 26*v(x). Determine n(q(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1260 - 1259.99451. Round n to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:47 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302894 or 302893?\nAnswer: 302893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 291\/35, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -4, 1\/19, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 1563 = -139*d + 1668 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/(-18)*-2*(-20160)\/17280.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21554937?\nAnswer: 3, 798331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -5*x**4\/12 - 11*x**3\/6 - 115*x. Let s(z) = -9*z**2 - 21*z. What is 3*s(c) - 5*v(c)?\nAnswer: -2*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46545*c + 47680*c - 65830 = 0 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 + z**2 + z - 1. Suppose 0 + 1 = l. Let j be m(l). Suppose -4*k + 17 = -s, -j - 17 = -5*k. What is the smallest common multiple of 11 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u**2 - 51*u - 18. What is f(5)?\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4\/(-6)*-3. Suppose -3*u - 4 = h - d*h, 0 = 5*u - 3*h + 2. What is the units digit of -1 - 0 - (-9 - u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/114)\/(-15)*4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + (-2 + (-12 - 2) - -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18696080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.3611 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2810676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 4341*v - 9. Let c(l) = -8*l**2 + 8681*l + 22. Determine -2*c(f) - 5*y(f).\nAnswer: f**2 + 4343*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + g = -3 + 6, -3*o - 3*g - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3194*u - 51 = 3211*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - l + 23, 2*n - 2*l = 2*l - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**3 - 5*b**2 - 6*b + 1028. Determine j(0).\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3592 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (sqrt(22)\/(-1*sqrt(11)))**2 - (sqrt(8) + sqrt(32)\/sqrt(4)*1)\/(sqrt(16) + sqrt(48)\/sqrt(3) + sqrt(16)))*-2.\nAnswer: -16 + 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 - 62 - 2*f - 2*f + f**2 + 5*f + f**4 + 0*f**4 wrt f.\nAnswer: 12*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 7988*c - c**3 - c**4 - 2*c**2 + 2 + 7986*c to t + m*c + s*c**2 + p*c**4 + r*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -17 - (-142 - -145)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -54*c - 205 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - t - 56 = 0, -12193*t + 6096*t + 139 = 5*o - 6099*t for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(392))\/(sqrt(66)\/(sqrt(6)*4)).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 99086+12221.6\nAnswer: 111307.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -21. Let o(h) = -h**3 - 3*h**2 + 4*h + 1. Let f be o(-4). Let y = s + f. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 22, 1, 3, 7, -3 in descending order.\nAnswer: 22, 7, 3, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20.3 (b) -1 (c) -0.06 (d) -0.2 (e) -4\/9 (f) -156\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0477 - 9475525944?\nAnswer: -9475525944.0477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4863124, -19452469, -43768042, -77809843, -121577872?\nAnswer: -175072129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4 - (-99)\/25) - 0)*-15\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + r**2 - 2*r**2. Let n(b) = 40*b - 17*b - 13*b. Calculate n(k(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-703)\/(-2)*292\/2774*4\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.1, 0.06, 1, -1, 4380?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/4 - 2*k**3\/3 - 5*k**2\/2 + 5*k - 8. Let q be y(-3). Suppose 0 = q*n - 34*n + 200. Is 32 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -573284 - -573283.67999936. Let j = 0.8 - 1.12. Let x = z - j. What is x rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 5:30 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18139691*u**3 + 70050602*u.\nAnswer: 108838146*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2132964, 5 in descending order.\nAnswer: 5, 2, -2132964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 15*k + 124. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 57, 69, 85?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*(-322)\/(-69)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 194 - 4425*v**3 + 2211*v**3 - 3*v**2 + 2218*v**3 as t*v**2 + n*v**3 + j + w*v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8) - (-324)\/(-48)) + 20\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.67177 * 6.\nAnswer: 16.03062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = i - 3*q, -2*i + 2*q = -i - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 3, -1135 in decreasing order.\nAnswer: 3, -137, -1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = 3*m - n, -4*m = -n + 7. What is the nearest to -1\/2 in m, 2\/5, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t - 5*k, -t - k + 3 + 0 = 0. Suppose t = -5*l + 675 + 140. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 2\/9 (b) -3\/5 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1041 + -1030. Calculate the remainder when 670 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 70*r**2 - 45*r + 1620.\nAnswer: -5*(r - 4)*(r + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 16*m**2 - 39*m - 78. Let y be j(-18). Let v be 1\/((y\/72)\/((-4)\/(-6))). Which is the fourth biggest value? (a) 3\/7 (b) -2\/7 (c) v (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.2, 1, -5935?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 147337 divided by 587\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139304712?\nAnswer: 2, 3, 619, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (248\/(-7))\/((-86)\/301). What is the highest common divisor of 1519 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -55, -33, 57, 239?\n\"Answer: 4*x**3 - 2*x**2 - 44*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2345 (base 9) in base 12?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8 + 6*y + 3 - 24 + 10. Let n(a) = 12*a + 5 + 8*a - 27*a - 1. Calculate 5*i(d) + 4*n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 - 6*r + 0*r**3 + 9\/4*r**5 + 0*r**4 - 1\/2*r**2. What are the prime factors of j(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -2*h - 3*u, 3*h + 3*u - 9 = 0. Solve a + h*a = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -526 (b) -3\/2 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((89760\/(-18))\/4)\/(9\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-41.8.\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (204*s + 2*s**2 - 202*s - 10*s**2)*(-s**2 + 2*s**2 + 0*s**2 + (-10 + 7 + 0)*(-2*s**2 + 3*s**2 + 2*s**2)).\nAnswer: 64*s**4 - 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let w(o) = -2*o - 1. Let i(s) = 5*b(s) + 6*w(s). Let c(n) = 3*n. Let a(q) = 15*c(q) + 6*i(q). Let m be (-30)\/(-5) - (5 - 3). Give a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/57*1*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -14. Suppose 5*p + 6 = -3*y, 5*y + 4*p - g*p = 21. Let s(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/6 - c**3\/6 - c**2. Calculate s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 5*r**4 + 2 - 2*r**4 - 28*r**3 - 2 in the form o + i*r**3 + d*r**4 + k*r**2 + z*r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 2993142879 = 735762879. What is i rounded to the nearest one million?\nAnswer: -251000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -467 + 469. Suppose -a*o + 6*w = 8*w - 280, 0 = 4*o + 3*w - 560. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + -1*sqrt(117))**2*-2.\nAnswer: -266 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8152 + 8160 + 1 + -82.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000564558 to 6 dps.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**18)**(-3\/8))**(-1\/16))**(-1\/6) assuming w is positive.\nAnswer: w**(17\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5.859 times -556\nAnswer: 3257.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 727, 1387, 2041, 2689, 3331?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387 by 5.\nAnswer: -387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6429570 and 2143190?\nAnswer: 6429570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 8*y**2 + 3*y - 6. Let g be i(8). Suppose 2*t - 56 = -q + g, -44 = -t + 3*q. Let b = -14 + t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -149, -306, -475, -662, -873, -1114, -1391, -1710?\n\"Answer: -r**3 - 150*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65717229.\nAnswer: 3, 271, 80833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/10 and 11\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:31 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5 + 7. Suppose 3*l - 20 = -5*n, 4*l - 2*n = -p*n + 22. Suppose -l*g = -16*g + 1837. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n + 2. Suppose 77 = 30*y - 19*y. Let w(t) = t**2 + 1. Let h(p) = y*w(p) - 6*g(p). Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1942 - 0?\nAnswer: -1942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 12, 2585, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.33425651612 and 0.35?\nAnswer: 1.68425651612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = 3*n. Calculate the remainder when 49 is divided by 22 + 2 + n + 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60566, 63693, 66820?\n\"Answer: 3127*n + 57439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 306935?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n**2 + 1. What is l(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263073 at least as big as 263070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 431\/2 or 217?\nAnswer: 431\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43830 and 18391068.\nAnswer: 91955340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilaxtqq. Give prob of sequence xal.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3*v**2 - 59*o**2*v**3 + 13*o*v**3 - 14*v**3 wrt o?\nAnswer: -12*o*v**2 - 118*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 2 - 26 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/39)*((i*i**(-13\/3)*i)\/i*i)\/i)\/(i*i*i**6*i)**32)**(4\/19) assuming i is positive.\nAnswer: i**(-45284\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, -1\/151, 2.43, 0.01?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/3 (b) -1\/5 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or -879?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 4 + -6 + -4 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/1723? (a) -5\/2 (b) -5 (c) -0.1 (d) -0.04 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*t + 10*t. Let z = 89 + t. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -u - 2*u + 412, 3*m = 3*u - 444. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 3*q**3 + 43*q**2 - 45*q**2 - q**3 + 6*q**4 - q**3 to the form n + f*q**2 + h*q**4 + d*q**3 + u*q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 142\/6 + 10\/(-15) - 3. Suppose -y*h + 4976 = -504. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 172510 - 159598 = 0. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2. Suppose 4 = v + 2*b, -v - b = -2*b - 1. Let j(i) = -794 + 794 - 8*i**v. Determine j(n(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/((-4)\/(-12)). Let g be 2\/a - (-22)\/6. Suppose 5*d - 19 = -o, d = -o + g - 0. What is the smallest common multiple of d and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = 6. Let h(d) = -d**3 - 12*d**2 - 19*d + 12. What is the remainder when p is divided by h(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - 84. Suppose k - 73 = -q - 4, 0 = -k + s*q + 57. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2768, -5534, -8300, -11066, -13832?\n\"Answer: -2766*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txsf when four letters picked without replacement from {x: 2, s: 1, t: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {c: 1, g: 2, k: 4, p: 12}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4265*i = 145335 + 247045 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 34*p - 163. Let q be o(30). Let k = q - -1676. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(684)*1 + -4)**2 + ((-2 + sqrt(1900) - sqrt(19)) + sqrt(1216)*-1 + -5)**2 + -4.\nAnswer: -302*sqrt(19) + 4264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46814*s**3 - 15616*s**3 - 15599*s**3 - 15605*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -283. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 79, 219, 441, 757, 1179, 1719?\nAnswer: 2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 5*d + 55 = 15*f, -3*f + 9 = 3*d. Solve 0 = x - 4*i - 10, 2*i = -5*x + f*i + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61340651?\nAnswer: 61340651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -772220 times 19\nAnswer: -14672180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3 + 4722*x**2 + 2817600*x + 35835176 = 0.\nAnswer: -1174, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 731*v. Let h(l) = -5*l**2 - 2183*l. Determine 4*h(g) - 11*n(g).\nAnswer: 2*g**2 - 691*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p + 7. Let m be h(-5). Find the common denominator of -7\/5 and m\/(-12) - 4\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336359994.\nAnswer: 2, 3, 17, 3297647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 5*y - 5. Let b(k) be the second derivative of 1\/12*k**3 - 1\/40*k**y + 4*k - 1\/24*k**4 + 0 + 1\/4*k**2. What is l in b(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 19 = -5*h - 3*b, -2*b + 16 = 5*h. Let l be (1 + h)*(9 + -8). Suppose -20*f = -13*f - 28. Solve -l = -f*w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70291 + w - 70300 - 77*w**2 - 1532*w**5 + 5559*w**5 wrt w.\nAnswer: 241620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*q + 28 = 5*p + 328*q + 327*q, -74 = -2*p + 31*q for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 29. Suppose 0*x + x + 16 = 0. Let k be x\/18*(-6)\/(-8). Which is the second biggest value? (a) k (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 8. Let o(f) = f**3 - 5*f**2 + 5*f. Let p be o(j). Suppose -l - p*l = 10. Let h(w) = -w - 2. Let s(m) = -m**2 + 3*m + 5. Calculate l*s(z) - 5*h(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1213092 divided by 4\nAnswer: 303273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 518 and 1258.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*q - 20 - 187*q + q**3 + 2*q**2 to v*q**2 + u + n*q + k*q**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(3 + (sqrt(1216) + 1 - sqrt(1216)) + 5 + sqrt(19) + -1))**2 + -2.\nAnswer: 440*sqrt(19) + 2409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8174 + 23215. What are the prime factors of b?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*k**3 - 2\/3 - 2\/15*k + 2\/3*k**2.\nAnswer: 2*(k - 1)*(k + 1)*(k + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4\/2 - 9*i**3\/2 + 69*i**2\/2 + 225*i\/2 + 75 = 0.\nAnswer: -5, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*21 - (7 + -6). Is ((-218)\/5)\/((-8)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.019, -2, -3\/5, 0.1 in increasing order.\nAnswer: -2, -3\/5, 0.019, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707823 is divided by 138.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -248, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166\/3 - (-2)\/(-6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 + -111. Solve b*t - 6 - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -160, -385, -752, -1291, -2032, -3005?\n\"Answer: -5*g**3 - 26*g**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/15)\/(o**(-17)\/o))\/(o\/(o**(-1\/2)*o))**(-4) assuming o is positive.\nAnswer: o**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2134 or 23465\/11?\nAnswer: 2134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*o + 947*h + 566*o - 2 with respect to h.\nAnswer: -2*o + 947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) 3 (c) -615 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, 342181, -1.\nAnswer: -17, -1, 0, 342181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 10) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/91))\/u)\/(u*u**(12\/7)))**21 assuming u is positive.\nAnswer: u**(-735\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/79)*m**(-11))\/(m\/(m*m**(-10))*m\/m**21) assuming m is positive.\nAnswer: m**(-77\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 25*o**2 - 92*o - 78. Determine s(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29494513, -29494517, -29494519, -29494519, -29494517, -29494513?\n\"Answer: t**2 - 7*t - 29494507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.26, -1\/2, -0.07, 719?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-17)*(-27)\/648*36\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003407639378 to six decimal places.\nAnswer: 0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1777, 1990, 2345, 2842, 3481, 4262, 5185?\n\"Answer: 71*r**2 + 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -0.3 (c) -2 (d) 4.3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (65 - 53 + 36)*(j - j - 3*j) + (-2 + 2 - 2*j)*(-6 - 4 + 3) as s*j + h and give s.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*s + 199, 5*s = 4*b - 460 + 183. Let d be b\/(-18) - (-4)\/(-18). Let q be -3 + 4 + (-4 - d). Sort q, 4, 0 in increasing order.\nAnswer: 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 = -m, 4*q + 2*m + 7 = 5*m. Suppose 19 = -5*z - 2*v, 0 = z + 2*v + 9 - 2. Sort q, z, 10 in increasing order.\nAnswer: z, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n + 7. Let c(r) = -4*r - 4. Give -5*c(p) - 2*m(p).\nAnswer: 4*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/168 and -187\/91560.\nAnswer: 91560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3*p**2 + 4*p**2 + (2*p + 0*p - 4*p)*(-2*p + 7*p + p) + 0*p + p**2 + 0*p + 2*p**2 - 7*p**2 + 3*p**2 - 3*p**2 + p**2 + p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/4 or 4213158?\nAnswer: 4213158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11928, -23842, -35756, -47670, -59584?\n\"Answer: -11914*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6441.6096ns in hours?\nAnswer: 0.000000001789336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -67, -220, -517, -1006, -1735, -2752?\nAnswer: -4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25038 and 234?\nAnswer: 25038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(5460\/(-45))*(8\/6)\/2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-25)\/10 - -2). Suppose -2*l + 4 = a, -3*i - 3*l + 46 = i. Calculate the remainder when 16 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269403*v + 185882*v + 164431*v.\nAnswer: 619716*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4613.\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 718 = 718 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621405780.\nAnswer: 2, 3, 5, 61, 169783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4 times 3?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 16*d**2 + 59*d - 667. What is v(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(0 - 2 - 1)*(d + 1 - 1).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + -1972.1.\nAnswer: -1972.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 6. Let m be (-32)\/(-5) - 3\/(-5). Suppose 5*z + 22 = 3*k, 5*k - 2*z + m*z = 10. Let d be ((-2)\/k)\/(2\/(-12)). Calculate f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31589588 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: What is the highest common factor of 1536 and 915968?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**2 - 11*p - 3. Let g(k) = -10*k**2 - 10*k - 2. Let s(c) = -6*g(c) + 5*m(c). Let a be s(3). Is (3 + a\/(-9))*-6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let v = -233 + 286. Let a = 33 - v. What is the closest to -0.1 in o, a, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772227 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: Let v(z) = 10*z - 9. What is the remainder when v(8) is divided by (-5)\/(-30) + -4 + (-717)\/(-18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 18.8. What is the closest to 0.1 in 0.1, u, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623 (base 9) in base 11?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 163604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x\/(x**(-6)*x)))*x**6)\/(x**8*x**1) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from rrrrrprprpprrrprrrr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - r**3 + r**3 + r**5 + 3*r - 3*r + (r**2 + 5*r**2 - 4*r**2)*(r - r**3 - r) - 3*r**5 + 4*r**5 - 2*r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696517 + 1083679 = 4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.7553832 rounded to 1 dp?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v**2 - 54*v + 40. Let g be a(3). Solve 29 = g*s + 3*j, 3*s - 2*s = -4*j + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 26 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2746*k**2 - 1 - 26584*k**2.\nAnswer: -23838*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158586?\nAnswer: 2, 3, 26431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10032 and 15675.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppvvppvvvppp. What is prob of picking 1 v and 3 p?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(84)*-1)\/(sqrt(588) + sqrt(588)*3 + sqrt(588)).\nAnswer: -3*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/75 and (-3 + (-2 - -1))*(-49)\/(-12)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110998 - 3616*y - 110998 to the form s*y + r and give s.\nAnswer: -3616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/10 + 4*r**4\/5 - 19*r**3\/10 + r**2.\nAnswer: r**2*(r - 1)**2*(r + 10)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) + (-1)\/(-2). Let p = -1 + h. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uudddddbb. What is prob of picking 2 u, 1 b, and 1 d?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*a - 32*a - 137*a = -1400 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.7 and 153.65?\nAnswer: -1183.105","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Which is the biggest value? (a) 13\/5 (b) -137647 (c) 2 (d) 1 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 75, 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/281, -2\/33, -3\/4 in descending order.\nAnswer: -3\/281, -2\/33, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(44)*3 - sqrt(11)))**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -360*j + 33113. What is p(84)?\nAnswer: 2873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {s: 2, q: 16}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -174 + 361*k + 447*k - 703*k. Is q(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 + z**2 - 4 + 4 in the form y*z**2 + p*z + d and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.97221 + -0.02779. Which is the fifth biggest value? (a) -3 (b) -6\/25 (c) 4 (d) 0.2 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 - -139.7. Let f = 6.1876 - -1.4754. Let k = f - y. What is k rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 2\/15, 3\/4, -222?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 5. Let p(t) = 2. Let c(i) = 1. Let x(j) = -3*c(j) + 2*p(j). Let z(o) = -3*o**3 - 25*o**2 - 5*o + 25. Let u be z(-8). Give u*v(y) + 6*x(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 - -7. Let a = -6886 - -6874. What is the biggest value in 0, 0.1, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let w be c(-2). Suppose -32*y = 23 + 9. What is the closest to w in 0, 3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b**2 - 630*b - 17. Calculate k(63).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 742, 164, -124, 2, -1 in decreasing order.\nAnswer: 742, 164, 5, 2, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = 3*s - 2, 5*f - 34 = 3*s. Differentiate 7*q**4 - f*q**4 + 0 + 2 with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.65 + -0.006.\nAnswer: -15.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**4\/2 + 845*h**3\/2 - 121*h**2.\nAnswer: h**2*(h + 121)*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-244)\/16*(-896)\/224?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x + 358*x + 1 + 442*x - 5 - 74*x as o*x + r and give o.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30905 - -0.095838741?\nAnswer: 30905.095838741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Let y(s) = 14*s**3 - s**2 + s + 1. Let z be y(-1). Let o be 4\/z*3\/(-2). Which is the nearest to -1\/4? (a) t (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, r: 7, j: 4}. Give prob of sequence rvv.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + 40.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 4664 = 4304 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 36. Let m = -3 + 2. Calculate the remainder when (-3)\/(-3) + m + 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53262556 by 13315639.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 6*d + 5. Let x = -807 - -810. Let z = -5 + 8. Suppose -x*k = m - z*m - 15, 0 = m - 3. Calculate g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1769b?\nAnswer: -17698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 51 + 51 = 0. Suppose 0 = -2*o - 5*c + c + p, 3*o + 4*c - 51 = 0. Solve 0 = 5*g + 3*a + o, a - 2*a - 19 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3 + 33. What is the lowest common multiple of 16 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:48 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 5*v - 69. Let h(z) = -13*z**2 + 22*z - 317. Let b(x) = 4*h(x) - 18*r(x). Let k(g) = -g. What is b(i) - 2*k(i)?\nAnswer: 2*i**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*l + 30 = 0, -f + 962 = 43*l + 235 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 4. Let v = -1 - p. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 24790?\nAnswer: 123950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2)*q)\/q**4)\/((q**(3\/2)\/q)\/q**(-2\/5))*q\/(q*q*q**1)*q*(q\/(q*q*q\/(q\/(q**(2\/3)\/q))*q*q*q))\/q*q*(q\/q**(-5)*q*q)\/q*q**(-3) assuming q is positive.\nAnswer: q**(-167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 - 0.4. Suppose -72*h + 57 = -15*h. Let u = 0.3 + 0.2. Which is the closest to h? (a) k (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + 3 - 39. Suppose 0 = -5*w - 5*h + 45, 4*w - 7*h = -l*h + 43. Let d(y) = 3*y**2 - 2*y - 2. Let t(x) = x**2 - x - 1. Calculate w*t(z) - 5*d(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - g = k - 7, -k - 2*g = 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*g**3 + g - 46*g**3 + 2 - 113*g**3 + 106*g**2 + 380*g**3 - 108*g**3 + 2*g**4 in the form b + t*g**3 + m*g + z*g**4 + q*g**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114134, -113593, -113052, -112511, -111970, -111429?\nAnswer: -110888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**5\/60 - f**4\/8 + 2*f**3\/3 + 2*f**2 - 3. Let m(d) be the second derivative of o(d). Give m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Which is the second biggest value? (a) 0 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 377*g + 5999. Give b(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 5*r - 4634 = -30*q, -3*q - 3*r = -3480. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 78?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - 106\/(-3). Suppose 54 + j = 5*x. Suppose -4*a = -f - 44, 4*a = 2*f + 30 + x. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*w = -528*w + 14 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1) + 2 - 0. Let g be 1\/(j*3\/(-12)). Let p(v) = v**2 + 6*v - 5. Let k be p(-6). Put k, g, -1 in descending order.\nAnswer: -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62288 divided by 8?\nAnswer: 7786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 13*q**2 - 13*q + 12. Let a be z(12). Suppose a*n = 5*n. Solve -1 = -4*b - 0*d + d, 5*d - 15 = n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*u - 16015, 4*s + 9410 + 6602 = 2*u. Round u to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/273*77)\/(6\/(-4))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**13*k*k\/(k*k*k**(-19)*k*k*k)*((k*k**(-2\/15)*k)\/k)**(1\/47) assuming k is positive.\nAnswer: k**(2833\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 9*c**2 + 14*c + 3. Let n be i(-7). Calculate the highest common factor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -393 - -360.9. Let t = -28.1 - z. Suppose -m - 3*m = 12. Which is the third smallest value? (a) 2 (b) m (c) t (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/9 - 207424*f**2\/9 + 50*f\/9 + 5185600\/9 = 0 for f.\nAnswer: -103712, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305201 = 31*d + 304457 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 19*k**2 + 4. Determine d(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/12 + (-4)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 858 = -15*w + 47*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*m, -2*u = -2*m - 4*u + 10. Calculate the highest common factor of m and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054 a factor of 672996461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/6*4368\/(-1820)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -41812*n**2 + 19*n + 7. Let q(s) = 27875*s**2 - 13*s - 5. Let w(z) = -5*m(z) - 7*q(z). Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j**2 + 3*j)*(44494*j + 1346*j + 14634*j - 5878*j + 15508*j).\nAnswer: -70104*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 36838 = 5*c, 2*d + 4466 = -c + 11830. Suppose -5*t = -4*r + c, 0*r = -2*r - 4*t + 3710. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.74 + -0.06. Let j = x + -0.2. Let i be ((-10)\/4)\/(20\/(-8) - -3). Which is the third smallest value? (a) j (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -33*i. Let h(l) = -l**2 - 7*l + 4. Let j be h(-8). Let n be s(j). Calculate the greatest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 25 = -2*x, w = -3*x - 13. Let m(c) = c**2 - c - 1. Let l be m(w). Let b be (6\/4)\/(l\/30). Calculate the highest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 8*r**2 - 3*r**2 + (2 - 2 - 2*r)*(2*r + 2*r - 2*r) - 116 + 116 - 17*r**2 + 6 - 6 + 6*r**2)*(-4 - 4 - 14).\nAnswer: 286*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.466 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + 4*y**2)*(0*y - y - y)*(21 + 12 - 413)*(-10*y + 4*y + 2 + 2*y).\nAnswer: -3040*y**4 + 1520*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c + c)*(-7 + 25 + 6).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6854914?\nAnswer: 2, 11, 53, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 265, 269, 273, 277?\n\"Answer: 4*z + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 95.95364mg?\nAnswer: 0.00000009595364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1443 + -339.\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-216)\/308 + (-12)\/(-28). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6081 and 47\/26898290?\nAnswer: 80694870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40, 1\/9, -2, -51, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*n + 40*n. Solve -h + 3*h + 6 = n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 + 299. Suppose 4*n + 1 = -15. List the prime factors of n\/k + 849\/18.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8856 - 8856. Suppose -5*r + 1 = 46. Put 3, m, r, -1 in ascending order.\nAnswer: r, -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4)\/t*t**(2\/9)\/t*((t**(2\/3)\/t)\/t)**(-10))\/((t**(2\/3)*t*((t*t**(2\/9))\/t*t)\/t)\/(t**1)**(-29)) assuming t is positive.\nAnswer: t**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3389111072 to the nearest integer?\nAnswer: 58216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -129386 and -15.\nAnswer: 1940790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 163 = 2*t, 5*v + 3*t = 272. Calculate the greatest common divisor of 33 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:43 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -34718.522 to the nearest 10.\nAnswer: -34720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 2 - 2 + (-3*x**2 + 2*x**2 + 3*x**2)*(-2*x + 1 - 1) - 2 + x**3 + 2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89.63 - 90. Let x = -0.03 + j. Which is the biggest value? (a) x (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2216588640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 7*l**2 - l - 23. Let b = -56 + 44. Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - g = -174, 5*m - 8361*g - 223 = -8365*g for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**3 + 1151*f**2 - 112*f - 329. Determine i(115).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -5, 1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9dcbc2 (base 14) to base 13.\nAnswer: 1162727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 967864673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2 + 364124*j - 4700610 with respect to j.\nAnswer: 2*j + 364124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1. Let q(y) = y - 17. Let t(a) = q(a) + 5*u(a). Let s be t(14). Let m = 20 - s. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 1, n: 1, t: 1, r: 2, z: 2}. What is prob of picking 2 z and 1 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29423 minus 17.7?\nAnswer: -29440.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13804230 and 80476?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1344 - 4?\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/5)\/(k\/(k\/(k*k**(-2\/5)))))\/(k**(2\/5)\/k)**(-1\/23))\/((k**3*k*k**(3\/5)*k)\/(k**(-1)*k)**32) assuming k is positive.\nAnswer: k**(-157\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047097.\nAnswer: 1047097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.7 and -1.203.\nAnswer: 29.7141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + z**2 - 2 - 3*z**2 + 0)*(-3*z + 3*z - 2*z) + 7*z**3 + 3*z**3 - z**3.\nAnswer: 13*z**3 - 10*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 160 - (79 + -102) - -21?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 - a**2. Let i be w(-1). Suppose -i*u - 5*o + 28 = 2*u, -2*u + 24 = 5*o. Suppose l = 1, u*l - 5 = d - 2*d. Solve -d*j = -7*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*n + 22. Let s = n + 4. Let y = 0 - s. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1935 and -0.08?\nAnswer: 154.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a3 (base 16) in base 7?\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 4 + -3*sqrt(832)).\nAnswer: -96*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/4)*o**(3\/5)*o*o*o*(o**6\/o)**2 assuming o is positive.\nAnswer: o**(277\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*a - 2*x - 22, x = -3*a - 16. Suppose 5*k = 4*v + 22, -5*v + k - 4*k = 9. Sort a, 2, v in ascending order.\nAnswer: a, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/119)\/((-4)\/14)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4223202 (base 9) to base 4\nAnswer: -20213212013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 10:01 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -22*w**5\/15 - w**4\/8 + 107*w**3 - 41*w**2 - 12. Differentiate i(y) with respect to y.\nAnswer: -176*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*p - 13, 4*x = -5*p + 25 - 8. Let i(j) = 3500000*j. Let q be i(1). Suppose x*r + q = 4*r. Round r to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12055851, 12055850, 12055849?\n\"Answer: -w + 12055852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88285.\nAnswer: 5, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 3*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -2\/885 (b) -74 (c) -0.3 (d) 0.6 (e) -0.1 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-20))\/((-2655)\/944)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w. Suppose w = -3*u + 9. Solve 3 = -u*p - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 52. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g - 6. Let o be t(8). Suppose o = 7*a - 2*a. Let y = -3 - -19. Calculate the least common multiple of a and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 + 11122020101120?\nAnswer: 11122020110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 22.4. Let k = g + 0.4. Let p = k - -2. Which is the smallest value? (a) -2\/5 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3676, -3716, -3756, -3796, -3836, -3876?\n\"Answer: -40*n - 3636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215142 divided by -6.\nAnswer: -35857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/40659, -1, 2\/3?\nAnswer: -2\/40659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 346012, 692020, 1038002, 1383946, 1729840, 2075672, 2421430, 2767102?\n\"Answer: -2*y**3 - y**2 + 346025*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, r: 7, y: 4}. Give prob of picking 1 q and 2 r.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*h + 12, -a - 8 = -4*h + a. Let f = 5 - h. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/(-8 + -3 + 565\/50). Let u(t) = -3 + 3*t + t**2 - 1 + 2. Give u(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)*q*q)**(-27))**(6\/19) assuming q is positive.\nAnswer: q**(810\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -509.93 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/8 + 385*c\/8 - 573\/4.\nAnswer: -(c - 382)*(c - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*k**2 - 446*k + 68.\nAnswer: 2*(k - 17)*(13*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1854*a**2 - 2166*a - 6. Let u(k) = -3711*k**2 + 4330*k + 14. Let g(n) = 7*i(n) + 3*u(n). Find the second derivative of g(r) wrt r.\nAnswer: 3690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - -5 - (-123 + 109 + -17 + 1)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 4, e: 1, m: 1, o: 2}. What is prob of sequence rrm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(3 + sqrt(17) + sqrt(17)) + 3)**2*1 + (sqrt(170) - sqrt(170)*2*4)\/(sqrt(160) + sqrt(40)).\nAnswer: 857*sqrt(17)\/6 + 1171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40360 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 329872199 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjktwkqjjqkktk. What is prob of picking 2 k?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 47a?\nAnswer: 47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4729\/936 + 106\/117. Calculate the common denominator of ((-3)\/(-459))\/((-6)\/(-333)) and v.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/3, -2, 3 in decreasing order.\nAnswer: 3, 2, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-21)\/12. Let s(v) = v**2 - 9*v + 23. Let i be s(8). Let y be ((-12)\/(-60))\/(6\/i). Which is the second smallest value? (a) -3\/7 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.18 + -79.18. What is the second smallest value in x, -2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4322, 0.55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7*k + 251 = -3*k, 5*j - 258 = 3*k. Suppose 46*c + 40 = j*c. Calculate the highest common factor of 28 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 - 901*h - 3539. Give n(154).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1700) + (0 + sqrt(1700) - sqrt(1700)) - (0 + sqrt(1700) + -5) - (1*sqrt(1700)*2 - -1*2*sqrt(1700)))**2.\nAnswer: -160*sqrt(17) + 27204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.1 or -41823.97?\nAnswer: -41823.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-9 - -8) + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**5\/5 - 31*f**3\/3 + 27. Find the third derivative of s(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16950014 a multiple of 1631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 84 (b) 0.1 (c) 0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35309 at most as big as -35306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1189 - -1194.03. Let s = -0.03 + m. What is the third smallest value in -1\/3, -0.3, s, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30584 is divided by 3058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1, -88*g = -4*x - 92*g + 8. Is x < 3\/16760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - r + 0*r + (4*r - r - r)*(-2 + 2 - 1))*(-1 + 1 - 3*r**2).\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a week in minutes?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 558 - 564. Let w(a) = -4*a**2 + 20*a + 20. Let g(m) = -2*m + 2. Let s(y) = p*g(y) - w(y). Determine r, given that s(r) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -3 - 3*s**2 + 2\/3*s**3 + 2\/5*s**5 - 4*s + 3\/2*s**4. Factor w(k).\nAnswer: 2*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 54 = 2*o. Calculate the remainder when 16 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o**2 + 57*o**2 + 51*o**2 + 306*o**2 - 3*o**2. Let a(r) = -r**2. Determine a(i(x)).\nAnswer: -180625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*61.921.\nAnswer: -24.7684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 40. Calculate f(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.3, -0.4, -1.6, 56, -38, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (28492 - -9) + -3*(-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**6\/30 - 17*g**5\/4 + g**3\/3 + 6*g**2 - 525*g. What is the second derivative of d(k) wrt k?\nAnswer: 12*k**2 - 510*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210130 - -10?\nAnswer: -210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:32 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h. Let f = 66 + -3. Suppose -4*y - x = f, -2*y - 2*y + 4*x = 48. Let d be 3\/5 - (-24)\/y. Give n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 313*j - 29564.\nAnswer: (j - 389)*(j + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 11. Let x be 5\/(-2)*(-3 - -1). Let a(k) = 2*k + 6. What is x*a(w) + 3*q(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724326 is divided by 4387?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q + 127*q + 152*q - 3*q**2 - 245*q.\nAnswer: -3*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from yuyyyqqn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -18. Let h = -1 + 5. Solve 3*o = -4*b - b + s, 0 = h*b - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -262.555548 to two dps.\nAnswer: -262.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 not equal to -1769\/362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218353 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 8. Find the common denominator of y(7) and 73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 5.9. Let y = a + 8. Let g = y - 2. Are g and -2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -67*j**3 - 9 - 11*j**2 - 13*j**2 + 68*j**3 + 29*j. Suppose 101 - 9 = 4*t. What is the hundreds digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q - 18*q**2 - 23566*q**3 + 16*q**2 - 1592*q**4 + 23566*q**3 wrt q.\nAnswer: -38208*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 - b - 1. Let r be m(-1). What is the nearest to -0.1 in r, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33250 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*h + 189*h**3 + 41*h + 45*h - 188*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4))**(21\/8)\/((i*i**2)\/(i*i**(1\/2)))*((i*i**0)\/(i**6\/i))**(-2\/77) assuming i is positive.\nAnswer: i**(4645\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2. Let b(s) be the second derivative of s**4\/6 + 4*s**2 + 234*s - 1. Give l(b(k)).\nAnswer: -12*k**4 - 96*k**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 times -6774?\nAnswer: 43353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) 27 (c) -1\/2 (d) 19\/2 (e) 19 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -2.5. What is the nearest to -0.01 in -0.3, p, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-24003.8665.\nAnswer: 4800.7733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200321 + -23322?\nAnswer: 110333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230 + 830 = -30*q - 73*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*(-9)\/2. Suppose l = -3*u + 7, 4 = -5*l - x. What is the remainder when 0 + (u - 4) + 42 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783926?\nAnswer: 2, 3, 23, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 34. Suppose -6 = -2*w, -d*f - w + 1775 = -4*w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -511769*b**5 + 797216*b**2?\nAnswer: -30706140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 2, w: 3, u: 4, x: 5, v: 5}. What is prob of picking 1 e and 1 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 1343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-120))\/(3\/54*1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1216079 and -689.\nAnswer: -837878431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000088077 to six decimal places.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - g**3 - 7*g - 12*g - 4 + 21*g. Suppose -4*r + 0*c = c - 30, 4*c = -r. What is the least common multiple of s(5) and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/2 - 59205*a - 4377063\/2 = 0. What is a?\nAnswer: -39433, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 3754\/21?\nAnswer: 3754\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/344?\nAnswer: -7\/344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 13*q + 6 = -3*k, -3*q + 2*k = -4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3125 greater than or equal to 7457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -127. Suppose -680 - 535 = -3*o. Suppose 279 = 6*s - o. Calculate the greatest common divisor of k and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 + 6 = 0. Put 3, -4, 4, r in ascending order.\nAnswer: -4, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*l - 5*l. Solve -1 = 4*g + d - 6, -l*g - 2*d = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115569132.\nAnswer: 2, 3, 7, 1375823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o - 5*y = -843, 3*y - 9 = 0. Suppose -20*v = -527 + o. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 14*k + 4*k - 2012 + 6*k + 2021. Determine m(16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6263 is divided by 1548?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 + 4*z**2 - 5*z + 3. Let w(c) = -13*c**3 - 7*c**2 + 9*c - 5. What is -7*s(u) - 4*w(u)?\nAnswer: 3*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 8 = -8*c. Suppose 0 = 5*u - 3*f - 629, 0 = 5*u - 0*f + c*f - 639. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -1 - (-284)\/2. Let j be (25*(-34)\/(-1700))\/(2\/(-4))*-26. What is the highest common factor of j and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 8. Suppose -4*w + w = 5*z - 71, 5*z - q*w - 61 = 0. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57423566891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.354 - 1.646. What is the biggest value in i, -144, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0974 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzztztzzzztz. Give prob of sequence ztz.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 17*s - 16*s - 2 = 0, 5*p - s + 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3)*6\/2. Let c(z) = 50*z**3 - z**2 + 2*z - 1. Let s be c(d). Let m = s - 34. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.1, 3459204?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 10*m**2 - 24*m.\nAnswer: -2*m*(m + 3)*(m + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -105*u. Let q(f) = -13*f + 3*f + 12*f. Calculate v(q(r)).\nAnswer: -210*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211 or 1061\/5?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d = -9*d - 150. Solve d*u + 5*m = 2*m - 8, 0 = -3*m + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -801699?\nAnswer: -801699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260)*2)\/(sqrt(7) + (sqrt(112) - (sqrt(112) - (sqrt(112)*-1 - sqrt(112))) - sqrt(7))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 2. Let f(v) = v**2 - v + 6. Suppose -q + 4*x = -8, 3*x + 5 + 1 = -5*q. Let l be f(q). What are the prime factors of g(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953118 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120\/(-760) + 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-4)*(-84)\/(-144) - ((-104)\/(-64))\/13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 96226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6756*x**3 + 6501*x.\nAnswer: 40536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3243 and 305394.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061403019 to 4 dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -113 (b) -2\/19 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 953450 by 2.\nAnswer: 476725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/206 - 5773\/1030. Calculate the common denominator of q and -56\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, 204, 18.39, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/306 and 362\/(-55)*5\/4 + 4.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101\/(-202) + (-1)\/(-1))\/(1700\/140 - 13).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/616*-7*2*3\/(-9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**2\/2 - 28. Let f(k) be the first derivative of -k**3\/3 - 3*k**2\/2 - 2. Give -3*c(h) - f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -117.828. Let o = f - -2.828. Let v = -2.2 + 2. What is the nearest to 0.1 in v, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(135\/1560). Let p = n - 58\/9. Is p greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*y + 92, -2*p + 0*y + y = -83. What is the greatest common divisor of p and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35110394 - -0.281106. Let w = 0.07 + x. What is w rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12455430, -12455429, -12455428, -12455427, -12455426?\n\"Answer: p - 12455431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -579, -2287, -5135, -9123?\n\"Answer: -570*g**2 + 2*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = p - 0*p. Let y = -22 - p. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147\/724 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28291, 56581, 84871, 113161, 141451?\n\"Answer: 28290*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 33*d. Let q(s) be the second derivative of -s**4\/12 - 4*s + 1. Determine r(q(c)).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10300320 (base 4) in base 10?\nAnswer: -19512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*r - 18 + 431, -r = -2*m - 851. Let a = m + 671. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.292 + 156.292. Let k = 152 - y. Let a = -6 + 1. Sort a, -2\/7, k in ascending order.\nAnswer: a, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v, 6*z = 7*z - 2*v - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -1\/7, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 18. What is the smallest common multiple of u and 2 - (-1 - (-2 + (1 - -4)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/25)\/((-1)\/5). Suppose -u - 15800000 = -s*u. What is u rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8519 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - 6*g + 9. Let j be d(5). Let o(r) = -r + 7. Let b be o(j). What is the second derivative of 7*w - 2*w**b + 9*w**3 + 2*w wrt w?\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -16. Differentiate 2 + k*z**2 - 4 - 1 - 4 wrt z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -647*m**7\/210 - 649*m**5\/60 - 38*m**2 - 4. Find the third derivative of p(u) wrt u.\nAnswer: -15528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -19\/12*y**4 + 0*y**7 + 0*y**6 + 13*y + 0*y**3 + 0*y**2 + 0*y**5 + 0 - 19\/56*y**8. Find the third derivative of v(b) wrt b.\nAnswer: -2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1974\/188*8\/(-112).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540989110 less than -170?\nAnswer: -1540989280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*i - 14950 = 442*i. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -350412?\nAnswer: -350421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 5, 29 in descending order.\nAnswer: 38, 29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.1, -0.5, 2 in increasing order.\nAnswer: -0.5, -0.1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3*k**3 - d**3 - 1154*k**3 - 421 wrt k.\nAnswer: -3*d**3*k**2 - 3462*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, 3, 2 in increasing order.\nAnswer: -11, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + 11*l**3\/3 + 61*l**2\/2 - 3646*l - 2. Determine b(-21).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 640 - 437. What is the greatest common divisor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 11*w**2 - 29*w - 2. Let z be d(-7). Determine k, given that 2\/9*k**3 + 0*k**4 + 0*k + 0*k**2 - 2\/9*k**z + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2. Let j be 0 - (28\/(-4) + -10). Let u(n) = 7*n - 112. Let k be u(j). Let w(q) = 13*q**2 - q. Calculate k*m(y) - 2*w(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-2)*((-15)\/75)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 53 - 29*b + 31*b.\nAnswer: 2*b + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**4 - 1. Let l(a) = 8*a**4 + 8*a**3 + 4*a**2 + 4. Let p be -1 - (-3)\/(4\/(-4)). Let y(h) = p*g(h) - l(h). What is b in y(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let i(h) = 7*h + 3. Let a(w) = -8*w - 3. Let s(k) = -2*a(k) - 3*i(k). Let f(j) = -64*j - 40. Let x(o) = 3*f(o) - 40*s(o). Calculate d(x(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -260, -422, -580?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -271316317, -271316318, -271316319?\n\"Answer: -h - 271316316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64\/(-126) + 10\/35. Let r(n) = -n + 9. Let l be r(7). Suppose -l*o + 5*o + 9 = 0. What is the second smallest value in 3, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1297267 divided by 61\nAnswer: -1297267\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*l - 36*l + 12*l**4 - 12*l + 75*l**4 - 2 + 12*l + (-2 + 2 + l**2)*(-1 + 1 - 2*l**2) - 3*l**4 - 2*l**4 + 3*l**4 + 2*l - l**4 - 4*l**2 + 4*l**2.\nAnswer: 82*l**4 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 90 = 14*c. Solve c*h + 15 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2919462 and 23478?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118620?\nAnswer: 2, 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 195*f**3 - 2337*f**2 - 10245*f - 15300.\nAnswer: -3*(f + 4)*(f + 5)**2*(f + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*i - 10. Let b = 41 - 29. Let q = b - i. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138800715?\nAnswer: 3, 5, 9253381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 23*x + 192. Calculate the smallest common multiple of x and 14\/(7\/2 + -3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 - -3) - 0 - -53) + -8\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64225 divided by 25?\nAnswer: -2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -111*h - 16. Let p be r(-3). Let s = 326 - p. Solve s*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7 + 13\/7*p + 3*p**2 = 0.\nAnswer: -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4663.511ml?\nAnswer: 4.663511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6778.03 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21818957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 327, 315, 305, 297, 291?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 88*b**6\/5 - b**3\/6 - 35*b**2 - 708*b. Find the second derivative of g(f) wrt f.\nAnswer: 6336*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20*1 + (2 - 1). Let w = b - 7. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = s + 8*f + 12, -3*f - 2 = 2*s. Which is the closest to s? (a) -4 (b) 0.1 (c) -1\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1811 divide 233655921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*a - 4, 9 = 5*r - 2*r - a. What is the third derivative of -22*c**4 + 22*c**4 + 11*c**6 - 10*c**r wrt c?\nAnswer: 1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -128.\nAnswer: -128, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u - 2*u**3 + 9*u + (3*u - 4*u + 0*u)*(0*u**2 + 2*u**2 - 7*u**2) + (3*u**2 - 2*u**2 + 0*u**2)*(u - u + 2*u).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -668, 0.2, 0.02, 0, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 23. Let r be l(-8). Let s(y) = y**3 + 2 + 0 + 0 - 7*y - 6*y**2. Let z be s(r). Solve -b - z*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2607309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(0*q**2 - 3*q**2 + 2*q**2) - 2*q**2 + 4*q**2 - q**2 + (-2*q + q - 4*q)*(q - 2*q - q) as a*q + v + b*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 + 16*a - 9. Let y be j(7). Suppose 2 = y*k - 4*k. Let s(o) = 4*o - 7. Let f(p) = 4*p - 6. Let c(b) = -4*f(b) + 3*s(b). What is c(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-12)\/a)**(-1\/7) assuming a is positive.\nAnswer: a**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1935845 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 - 83*c**4\/12 - 422*c**3\/3 - 997*c. Find the second derivative of p(z) wrt z.\nAnswer: 6*z - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -272.121. What is j rounded to 2 dps?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -261?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 336097.2 tonnes?\nAnswer: 336097200000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -493 - -493. Suppose i = -16*w + 26*w - 50330. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12587456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*x + 3*x**2 + 4*x**2 - x**3 - 4*x - x**4 in the form r*x**2 + z*x + i*x**3 + w*x**4 + a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 2\/7, -20027, 5, 2\/3, -22\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -795\/1408 + -15\/128. Let p = -1\/671 + -4691\/4026. Find the common denominator of x and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 342719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, a: 1, f: 7, l: 3, g: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, -10.\nAnswer: -10, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589010569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16937642 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70595, -141220, -211845, -282470, -353095?\nAnswer: -423720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = -q + 486, 3*x - 1461 = -4*q. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15483629, -15483630, -15483633, -15483638, -15483645, -15483654?\n\"Answer: -x**2 + 2*x - 15483630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 - 33*x**2 + 72*x + 108 = 0 for x.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4*c**2 - 3*c**2 - 1)*(-1 - 2*c**2 + 1) + 5*c**4 - 4*c**4 + c**4 + (c + 2*c - 2*c)*(-c**3 + c**3 + c**3) + 6*c**4 - c**2 + c**2.\nAnswer: 5*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3 + f**2*y + 4102*f*m + 3*m*y - 42126*y wrt f?\nAnswer: 6*f**2 + 2*f*y + 4102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -406*k - 1428. Calculate the least common multiple of 688 and c(-5).\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((sqrt(216)*-3 - sqrt(216))\/sqrt(8) - sqrt(27)))\/(sqrt(27)\/sqrt(147) + sqrt(324) + sqrt(324)*2).\nAnswer: -105*sqrt(3)\/127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*x - 285*x**2 - 337*x**2 + 28*x + 8 - 168 wrt x.\nAnswer: -1244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 0 (c) 1.7 (d) 1724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15120 and 3395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25228\/(-11713)*(-13)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 49. Suppose 2*l - 5*b = s, 9 = -l - 0*l - 3*b. Solve -1 + l = -2*y + u, -u + 1 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83712 - 83751.147. Let a = 156.269 + q. Let p = a - 117. Round p to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163364 (base 7) in base 11?\nAnswer: -173174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let l be ((-3)\/9)\/(73\/(-876)). Let i(f) be the third derivative of -1\/3*f**3 + 0 + 23\/24*f**l - 8*f**2 + 0*f. Determine m(i(q)).\nAnswer: -23*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2.3155?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 10 + 26. Let m = g + -14. Suppose y + m = 0, 5*y + 33 = -d - 2. Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:46 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**2)\/(l\/(l**(3\/23)\/l)) assuming l is positive.\nAnswer: l**(49\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Let t(i) = 10*i. Let j(k) = -12*r(k) + 5*t(k). Let f(u) = -16 - 21 - 3*u**2 + 43. Determine j(f(s)).\nAnswer: -6*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from {t: 1, c: 1, w: 2, d: 5, p: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19530)\/(-330))\/7 - (-2 - (-10 + -1)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (74 + -48)*((-3)\/(-2))\/(-3). Let b = v - -15. Let h(f) = -3*f. Give h(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 5712.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24534258583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 844*v - 844*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/1*-1*(-18)\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 251 and 6.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - 3*sqrt(114))\/sqrt(3) - sqrt(38))\/(sqrt(128)\/sqrt(4)))**2 + ((1*(-1*sqrt(114) - sqrt(114)))\/(-2*sqrt(24)))**2.\nAnswer: 247\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l - 10. Let z be (4\/(-14))\/((-82)\/861). Solve u - l*d + z = 0, 0 = 2*u - 5*d + 6 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1880 and -13\/200.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-133) - (-2)\/(-5)*(52 + 13283\/(-259))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*r**3 - 112*r**3 - 64*r**2 + 69*r**3 + 5*r - 2*r in the form n*r**3 + j*r**2 + t + k*r and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/5, -1\/2, 8 in descending order.\nAnswer: 8, 2\/5, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*v**4 + 15 + 34 - 2*v**2 - 2*v**3 + 2*v**3 - 4*v**3 + 43*v**4 in the form j*v**2 + h*v + l*v**4 + w + r*v**3 and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12281 = -5*x, 3*u + x + 49187 = 7*u. Suppose -3*b + 5*t - 12290 = 0, -2*t + 0*t + u = -3*b. Round b to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -7, 4\/5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 - 135. Let a be (23\/(-1))\/((-7)\/7). Calculate the greatest common divisor of a and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j. Calculate w(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/360 and -107\/6?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let n(w) = -2454*w + 7362*w - 2456*w - 4 - 2456*w - 22*w**3. What is n(f) + 4*r(f)?\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 27*y + 2*x + 1880 = 0, 5*y = -3*x + 9465. List the prime factors of y.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(256))\/(sqrt(56)\/(-1*sqrt(7))) + 3.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -68*f + 6841860. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9476, 18940, 28404, 37868, 47332?\nAnswer: 56796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153394.0900034 - 153394.4. Let m = o + 0.31. What is m rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 4832 = -2*m. Is 2\/3 - m\/24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/3 - 14408*l**4\/3 - 33686*l**3 + 750128*l**2\/3 - 1326920*l\/3 + 230752 = 0.\nAnswer: -12, 1, 2, 7211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 1 + 7. Calculate the remainder when (k - 3) + (-1 - -4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209149 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 6*z + 9. Let h be p(7). Let r(v) = v**3 - 4*v**2 + 3. Let l(f) = 34 + 36 + 0*f**2 + 6*f**2 - 3*f**2 - 72. What is h*r(g) + 3*l(g)?\nAnswer: 2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 214 - 210 - 2*w)*(35*w**2 + 69*w**3 - 35*w**2).\nAnswer: 138*w**4 + 276*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5070 - 3326?\nAnswer: -10416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1196*b**5 + 1015*b**4 - 50909957*b**2?\nAnswer: 71760*b**2 + 24360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -60*q - 5. Let u(x) = -44*x - 4. Let t(b) = -3*u(b) + 2*y(b). Let n(m) = 8*m. What is t(n(g))?\nAnswer: 96*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/15 - 14*b**2\/15 + 4*b = 0.\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 81, 75, 67, 57, 45, 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18170793?\nAnswer: 3, 547, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 29 - 59*g**3 + 4*g**2 - 12 - 2*g**2.\nAnswer: -59*g**3 - g**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 10. Suppose 0 = -4*n - i, 3*i = 2*n + 2*i. What is b(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 143751900*f + 287503804.\nAnswer: -(f - 2)*(f + 143751902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/300 + 17*l**4\/60 + 289*l**3\/30 + 37*l**2. Factor y(g).\nAnswer: (g + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136928873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26\/5 - 5. Let q(w) = w**3 + 16*w**2 - 15*w - 244. Let j be q(-16). What is the biggest value in 2, j, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.4, 1\/5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(12)\/sqrt(2))\/sqrt(3) + (sqrt(110)\/sqrt(5))\/sqrt(11))**2 - (-1*sqrt(32) - (0 + (sqrt(18))**2))).\nAnswer: 4*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - (27 - 19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**3*p**3 + 19*k**3 - 23*k**2*p**2 + 93*k**2*p + k**2 + 15*k*p**3 + 2*k*p wrt p.\nAnswer: 54*k**3*p - 46*k**2 + 90*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*-1)\/sqrt(3) + (-2*sqrt(475))**2 - (sqrt(2736) - (-3 + sqrt(2736)*4)).\nAnswer: 35*sqrt(19) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 331, -60, -557, -1160, -1869, -2684?\nAnswer: -3605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3265 + 3504 = -61*p + 5*o, 0 = p + o + 1 + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:30 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -1 - (-19 - -1)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3387*u**4 + 16377*u**3 - 230*u**2 - 6*u + 1601?\nAnswer: -81288*u + 98262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.5 + 5.6. Suppose 0*p + 10 = 2*p. Suppose -23 = -p*x + 2. Which is the nearest to w? (a) -0.4 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21038 (b) -1 (c) 0.3 (d) -3\/4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 15e7?\nAnswer: -15ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 34700. Let x be b(0). Round x to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -4\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 0*d + d**3 - d + 2*d**3 + d + 0*d**3 - 2*d**3 + d**3 + (-d - d + 5*d)*(0*d**2 + 3*d**2 - d**2) as l + h*d**3 + t*d**2 + r*d and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 4*q**2 + 3*q**2)*(-4 + 3 + 0)*(125 - 7 - 23 + (-2 + 6 - 2)*(-3 - 2 + 4)) + 3*q**2 + 2*q**2 - 2*q**2 in the form j*q**2 + d*q + h and give j.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 3*w**3 + w**3 + 0*w**3 + 4*w**3 - 2*w**3 + (w**3 + 2*w**3 - w**3)*(-2 + 3 + 1) to q*w**3 + n*w**2 + m*w + v and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3335 + -3285. Calculate the lowest common multiple of u and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 124. Let s(f) = y*f - 7*f + 0*f + 11*f. Let a(j) = -j**2. Calculate s(a(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26576 is divided by 1661.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/2))**(-40)*((u**1*u)\/u)**(2\/81)*(u**(-2\/3))**11*(u**1*u)\/(u*(u\/((u\/((u*u\/(u\/(u**(-3)*u)))\/u))\/u))\/u) assuming u is positive.\nAnswer: u**(-5209\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9342\/251 (b) -2 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*r - 190*r + 377*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0 + 0*t**5 + 0*t**4 + 0*t**6 + 0*t + 2*t**2 - 1\/3*t**3 + 1\/105*t**7. Find the first derivative of l(y) wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -2196?\nAnswer: 2196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 24. Calculate the highest common factor of 48 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j + 6, -3*o = j - 7829. Find the third derivative of 6*k**2 + 11*k - 136*k**6 + 2609*k**3 - o*k**3 wrt k.\nAnswer: -16320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8)**(1\/5)\/(r**23*r**(2\/13)))**48 assuming r is positive.\nAnswer: r**(-67248\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261259\/16 + 16334. Calculate the common denominator of a and -115\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -1\/6*a**3 - 3*a**2 + 2*a + 0. Let n = 1122 + -1128. What is i(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2 = 10. Let u = 1 - 2. Let l be z\/(-4) - u\/8. Sort l, 0.2, -0.3 in descending order.\nAnswer: 0.2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 11 + 20 = -5*o + 104, 10 = -5*m + 16*o for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11910217 > -0.033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1503 and 299331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*k - 756 - 657 = -38. Put k, -5, 1, -2 in decreasing order.\nAnswer: 1, -2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h*h*h*h*h*h\/(h*h\/(h\/(h*h**0)))*h)))**(-2\/75)*(h**(-2))**(-1\/32))**(-11) assuming h is positive.\nAnswer: h**(429\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taa when three letters picked without replacement from {a: 3, t: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -258, 213, 996, 2091?\n\"Answer: 156*i**2 + 3*i - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 479170514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vivi when four letters picked without replacement from iiiiviivviiiviiiiii?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-838*3)\/((-14 - -32) + -20).\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = 161*j - 124110. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(sqrt(539) + sqrt(11)))\/(sqrt(343)*3))**2.\nAnswer: 5\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0. Let r = -14532 + 14529. Put -2\/3, r, d in decreasing order.\nAnswer: d, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 1:24 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 132*h. Let m(y) = 14*y + 1874 - 27*y - 1874. What is m(b(f))?\nAnswer: -1716*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-12))\/((-10)\/48)*4\/12*4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(38)\/sqrt(2)*-4 + sqrt(19).\nAnswer: -3*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - 198\/(-42)) + (-216)\/(-21) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 129*j + 70.\nAnswer: 129*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 8 (c) 2\/5 (d) 33\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/30 - 3*r**3\/5 - 19*r. Factor q(t).\nAnswer: 2*t*(t - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -7*g**4\/24 - 13*g**3 + 1237*g**2. What is d(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13674 = -2*y - 3*o + 372, 2*y - 14056 = 2*o. List the prime factors of y.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 27*y**2. Let f(u) = 90390*u. Calculate f(t(b)).\nAnswer: 2440530*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(684))*-4 - sqrt(684))**2 + -4*(sqrt(1539) - 2*sqrt(1539)) - ((-2*(sqrt(228)*-2 + sqrt(228)))\/sqrt(12) - (-1 + sqrt(1539) + -4)).\nAnswer: 283*sqrt(19) + 17111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 2, -4*d - 9*v + 10*v = 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -51*m + 42. Let n(u) = -559*u + 455. Let y(x) = -65*h(x) + 6*n(x). Let c(v) = -13*v**2 + 6*v. Calculate y(c(d)).\nAnswer: 507*d**2 - 234*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1069928 divided by 2\nAnswer: 534964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27597\/(0 - (-42)\/28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153462, 153343, 153144, 152865, 152506, 152067, 151548?\nAnswer: 150949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 64140860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4558\/15 + -304. Let p = 92 + -827\/9. What is the smallest value in 0.2, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = 5*f + 5, -3*f - 2*k = 8. Let b(x) = x + 12. Let d be b(-7). Suppose -1 = -3*g + 5*z - 9, 4*g + 2*z + 2 = 0. Put f, d, g in ascending order.\nAnswer: g, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 1\/4*w**4 + 6*w + 28 - 1\/2*w**2 - 2*w**3. Factor a(k).\nAnswer: (k - 6)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 5*b**2 + 14 - 20*b**2 - 165*b**2 as u*b**2 + l*b + s and give u.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(-4) + (-5)\/(-20). Let q(o) = -o**3 - 6*o**2 - 8*o - 10. Let k be q(j). Let g(d) = 33*d**2 + 9 + k*d - 32*d**2 + 5*d. Determine g(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or -42833\/463?\nAnswer: -42833\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j - 0. Suppose 2*r - 50 = -j*a, 3*a = 4*r + 20 - 155. Calculate the greatest common factor of r and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - 12*z**2 - 3*z + 3. Let b(i) = 8*i**3 + 25*i**2 + 5*i - 5. Calculate 3*b(m) + 5*o(m).\nAnswer: 4*m**3 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 (base 5) in base 13?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -733334*v + 8. Suppose 0 = -2*h + 6*h + a - 19, a + 17 = 5*h. Suppose -8*f + 48 = -h*f. Let p be k(f). What is p rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4877.248ml?\nAnswer: 4.877248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 + q**3\/6 - 5*q**2. Let v = 34 + -35. Let r(h) = 3*h + 5. Let w = 2 - -2. What is v*r(o) + w*u(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*z + 21 = 0, 4*j - 1 = -2*z + 5. Solve 0 = j*o - 12 - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60416 (base 9) to base 4\nAnswer: -21230121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780146.\nAnswer: 2, 3, 98897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5616630, -5616631, -5616632, -5616633, -5616634, -5616635?\n\"Answer: -m - 5616629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*b + 2*q - 5*q, -23 = 5*b + 3*q. Let h be 6\/b*8*1175. Round h to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113795051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 23. Let l be -6 + -1*(1 + o). Let f be 0 + -4 + 2 - l. Solve 28 = -4*d - 4*n, f*d + 2*n = 7*n - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*n + 365*n + 4*t = -68, -2*t - 36 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:46 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + c = 5*c - 224, -4*n + 3*c + 972 = 0. Is 40 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 less than or equal to -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -6998804?\nAnswer: 769868.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000120212022202201 - 10?\nAnswer: 1000120212022202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(320) + sqrt(320)*-2)**2 + -4 + sqrt(5)*2 + (sqrt(5) - sqrt(125))**2*1 + sqrt(605)*-2)*-5.\nAnswer: -7920 + 400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 5) in base 12?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 11 + 1. Let l = n - -37\/3. What is the third biggest value in 1\/4, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {y: 2, f: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.76 + -0.1. Let a = -1.13 + j. Let q = a + -0.461. Round q to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1016673286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o - 66 = 0. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v + 31. Let h(z) = -z. Calculate -g(l) - 2*h(l).\nAnswer: -l - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 1. Let p = 8 + -55. Let t = -36 - p. What is the smallest common multiple of a(-2) and t?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (669\/1115)\/(12\/(-10))*46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81982?\nAnswer: 2, 179, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 7*x + 0*x**2 - 19 + 11. Let v = -68 + 112. Let k = v - 51. Give o(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-72)*4*(-3)\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uususssssus. Give prob of picking 2 s and 1 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 320 - 365. Let k = -97 - w. Let p be k\/(-16)*(-12)\/10. Put 1, p, -5 in descending order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.28 - -2.2799998818. What is q rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/5 + 8*z**4\/5 + 6*z**3\/5 - 8*z**2\/5 - 8*z\/5 = 0. Calculate z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4862, -2\/13, -3\/7, 3\/8, 4, -5 in decreasing order.\nAnswer: 4, 3\/8, -2\/13, -3\/7, -5, -4862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88.387 + 88. What is m rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (867*o - 22766 + 22766)*(-2 + 2 + 6).\nAnswer: 5202*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*f**3 - 93*f**2 - 5356*f + 1150197529 with respect to f.\nAnswer: 195*f**2 - 186*f - 5356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:52 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlrrrlrrrrrzr. What is prob of sequence zzl?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434159.\nAnswer: 3, 53117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:50 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30210021231 (base 4) to base 14.\nAnswer: 61a51b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5058 and 3458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9.38?\nAnswer: -9.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/72 and -47\/4928.\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 - 122*f**2 - 512*f - 520 = 0.\nAnswer: -2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.926 - 0.074. Let u = x + 34.3. Let v = -2.7 + u. Put -9, v, -1\/3 in decreasing order.\nAnswer: -1\/3, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 2 (c) -3\/2 (d) 7 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 3*i + 1 = -19*d, d = -2*i + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10798 - 10798. Let a(d) be the third derivative of 0*d**3 + b*d + 24*d**2 - 7\/8*d**4 - 1\/40*d**6 + 0 + 0*d**5. Find the second derivative of a(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 + 3*f - 1. Suppose 3*q - 6 = -2*k + 5*k, -3*k - 14 = -5*q. Give i(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341157224?\nAnswer: 2, 17, 83, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 l when three letters picked without replacement from qquzgcll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + sqrt(320))*-1)**2 + (-2 + sqrt(605))**2 + 1 + sqrt(5) + -2.\nAnswer: -59*sqrt(5) + 925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -19 - -65 - -2*(1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-1)*(3 - (-14)\/(-4)). Let t(n) = n**3 - n**3 - 2*n + 4*n**3 + 2 + n**2 + 0*n**h. Let q be t(1). Solve q*m + 4 = -11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*f = -104*f. Suppose -a = -f - 9. Let m(z) = z**3 - 10*z**2 + 14*z - 19. Let s be m(a). What is the greatest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)*r*(r\/(r**(-6)\/r))\/r*(r**(2\/13))**13 assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7386.667 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/19 - 44*p**2\/19 - 94*p\/19 - 48\/19.\nAnswer: 2*(p - 24)*(p + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/10 + (-421)\/(-2). Let w be (2\/4)\/(3\/l). Let v = w + -25. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 481bb - -1?\nAnswer: 48200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from kkrkffrrfrkfrk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/1400)\/((-1)\/4). Suppose -10*t = -9*t. Is b not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32970087, -65940157, -98910227, -131880297, -164850367?\n\"Answer: -32970070*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3160 (base 13) to base 12.\nAnswer: -3b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 6572?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let j(g) = 3*g - 10. Let t be j(4). Suppose 14 = t*u - 0*u. What is the remainder when l(-4) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3\/2))**(-2\/19))**(2\/5)*((r\/(r*r**0))\/r)**36*r**4*(r*r\/(r*r\/(r\/(r**(-2\/7)*r)*r*r)))\/r*r assuming r is positive.\nAnswer: r**(-3966\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(1\/8)\/(t*t\/(t*t\/t**1)*t**(-2\/5)))**12 assuming t is positive.\nAnswer: t**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 6. Let r = 86 - 93. Let w(f) = -7*f + 6. Let o(t) = r*w(t) + 6*i(t). Is o(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**7\/315 - 17*k**6\/360 + 17*k**5\/60 - 43*k**4\/72 + 11*k**3\/18 + 10*k**2 - 6. Solve r(f) = 0.\nAnswer: -11, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-18)*-2 + 295\/45. Solve -l*k + k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -16 - 24) + 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 11. Suppose -2*u = 2*g - 7*u + 16, 2*g - 2*u = -16. Let v be d(g). Put 4, -2, v in decreasing order.\nAnswer: 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2606*m + 2630*m - 48. Solve m*y - 6 = w, 4*y + y - w - 21 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/2 + 549*s - 1206583\/2 = 0. Calculate s.\nAnswer: -1777, 679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593029 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 v = 0.51 - -0.49. What is the smallest value in -0.2, 6, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*z**2 + 4*z - 561?\nAnswer: -52*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*o = 8, 3*u + 2*o - 37 = -3*o. Solve 0 = 3*l + l + 5*i + 18, u*i + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49519.41 seconds in microseconds?\nAnswer: 49519410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3 - 4\/3*z**2 - 2\/3*z**3 + 2\/3*z = 0 for z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*c + 220 + 102, c - 4*d = -70. Is 4 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2*s - 272 + 267, 0 = -19*z + 4*s - 115 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**18*o*(o**(-12)*o)\/o)\/((o*o**(1\/3))\/o**9) assuming o is positive.\nAnswer: o**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/103258 and 23\/12495.\nAnswer: 75894630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -222 - -36437a?\nAnswer: 364158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09511 + -404?\nAnswer: -404.09511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 22 (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - 374\/5. Let a = 22\/3255 + 215738\/3255. Let j = a - 66. What is the smallest value in b, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1045 + -1035 + (-10 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z + 1. Calculate the remainder when f(2) is divided by (9\/2)\/((-1)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(57)\/sqrt(3) - (sqrt(19) - (0 + sqrt(2299))) - (2*(sqrt(19) + -1) + -3)**2) + -4)*1.\nAnswer: -108 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 123. Find the third derivative of -10*p**5 + 18*p**2 - l*p**5 + 4*p**5 wrt p.\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l**3 + 97*l**2 - 20*l - 16. Give m(6).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4957, 5464, 6307, 7486, 9001, 10852, 13039?\nAnswer: 15562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2672 by 33.\nAnswer: 2672\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-672) + 200\/(-225) - ((-16)\/(-4))\/(-4).\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1017*d + 1052*d = 210 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x + 28. Let p be 58\/((22\/6)\/(121\/66)). Differentiate 10*s - s + p + x*s + 18*s wrt s.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/10197 and 59\/4532?\nAnswer: 40788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*20*3\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 - 183914*q**2 + 148351668*q - 29851167672 = 0. Calculate q.\nAnswer: -184718, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 - (-2 + -11 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228196?\nAnswer: 2, 89, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**2 + r**3 - 9 + 30 - r + 3*r - 10. Does 4 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 10*f**2 + 318*f - 654. What is z(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y. Let z(w) = w + 14618. Determine a(z(l)).\nAnswer: -16*l - 233888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3177 - -2220?\nAnswer: -957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 837 times -0.7977?\nAnswer: -667.6749","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 59946 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 16 = 4*y - 3*p, -2*y = 3*p - 2. Sort -4, -6, y, 3.\nAnswer: -6, -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102801163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647250 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10107787 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3192 and 24528696?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16\/45?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930897.\nAnswer: 3, 11, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144538123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*u + 5080 = -2*u. Calculate the lowest common multiple of u and 267.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -19 - (-4)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 17188648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -432658.943 and 128.\nAnswer: -432530.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -220, -504, -902, -1414?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + x + 9 = -10*t, 2*x = -5*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 1\/2, -0.2, -12.29, -0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3055755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -10*j**6\/3 - 48*j**5\/5 + 11*j**4 + 104*j**3\/3 - 24*j**2 - 32*j + 896. Solve r(c) = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1188651 less than or equal to -1188651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 22*p + 10. Let g be s(7). Let m(x) = 2*x**2 + 2*x - 4. Let i(b) = 4 - b + 0*b - 1 - b**2 + 0*b. Give g*i(f) + 2*m(f).\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - 220\/(-12))\/((-13)\/(-117)). Let w be 28\/(-6)*(3 + 0). Let h = w + c. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 5412.\nAnswer: 4\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}