diff --git "a/data/dm_maths/full_data_2/224_11255.jsonl" "b/data/dm_maths/full_data_2/224_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/224_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l be (52 + -55 - -10) + 6\/(-2). Let c = 0.2 + -0.3. Put l, -2, -17, c in descending order.\nAnswer: l, c, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/141 and (68\/34)\/(6\/(-9)) + 4586\/1504.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -56. Let s = -1162\/9 + 129. Let j be ((-4)\/85)\/(4*(-4)\/40). What is the third biggest value in j, b, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**(-6)\/c)**(34\/7)*c**(-3)*c*(((c\/c**(1\/4))\/c)\/c)\/c*c**7\/(c\/c**(2\/5)) assuming c is positive.\nAnswer: c**(-7179\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 148*b - 58*b - 43*b**3 - 254*b + 25*b**2 wrt b.\nAnswer: -258*b + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.98 and 196.25.\nAnswer: 200.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/(-10) + (8 + 26)\/340?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217658 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u + 15. Let a(h) = 6*h + 2. Determine 15*a(z) - 2*j(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 726 = -38*c. Suppose c*g = 38*g - 2304. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*d + 93 = 12*d, 0 = d. Calculate the remainder when 52 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98218381?\nAnswer: 53, 1853177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313211 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 386 - 231. Is t\/5*(3 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -501064 * -0.01.\nAnswer: 5010.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-331971)\/(-205995) - -3. Let u = y + -3\/2215. Let o = 2\/155 + u. Which is the second biggest value? (a) o (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - 261\/1404*-124.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*t = 272*t - 2214. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhtthhhthththhh. Give prob of picking 2 h.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/3 + 1336*v**4\/3 - 149184*v**3 + 883102*v**2\/3 + 2232449*v\/3 - 889778 = 0.\nAnswer: -2, 1, 3, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -47. Let q = -49 + f. Solve -5*n + q = -2*h, -3*h + 2*h = -4*n + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 716630.2939006.\nAnswer: -716636.2939006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/((o**(3\/4)\/o)\/o))\/o)**(-4\/23)\/(o**(-5)\/(o*o\/(o\/o**(-1))*o)) assuming o is positive.\nAnswer: o**(129\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 57 = -33. Suppose -4*t = 2*s - 12, s - 4*s + 6 = 2*t. Suppose 4*n + 2 - 14 = s. Solve y = -n*m + 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119\/3 - 40. Let p = 1\/74 - 56\/37. Let q = -4179.9 + 4180. What is the closest to q in p, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70\/4)\/(-5)*-2. Let q = 10 - j. Calculate the remainder when 51 is divided by -1*q - 30*-1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -60\/119 and 8\/41643.\nAnswer: 707931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 3*i)*(-5*i + 5*i - 5*i)*(28 - 9 + 17).\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12e9 + -3?\nAnswer: -12ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/120 + 3*k**5\/10 - 7*k**4\/24 + k**3\/6 - k**2. Let b(d) = -18*d**3 + 127*d**2 - 128*d + 1. Let w be b(1). Is q(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-385)\/(-105) - 4\/(-3). Let r = -2 - -1.95. Which is the smallest value? (a) -5 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - h - 84 + 2*h + 12 - 3*h**2.\nAnswer: -3*h**2 + h - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 8 + a + 4 - 8. Calculate b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*o - 2*y + 10, -2*y = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**3 + 2*i**2 - 11*i + 11. Let a be 8\/(-36) + 303\/27. Let h(q) = 5*q**3 + q**2 - 6*q + 6. Calculate a*h(t) - 6*p(t).\nAnswer: t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*b + 18 = 2*b, 2*q = -b - 19. Let s = q + 12. Let i = 6 - s. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(18)\/sqrt(9) - sqrt(6)\/(sqrt(21)\/sqrt(7)))*1)**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 24*m - 20*m. Suppose m*u = 9*u - 69. Suppose u = 3*t - 13. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 9\/4, 4, 0.04, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.112*1.828.\nAnswer: -0.204736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143960 is divided by 47917?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v**2 - 5*v + 1. Is c(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4333*m**2*q + 402*m**2 + m + 4 wrt q.\nAnswer: -4333*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 - c + 2. Let q be k(-4). Suppose 84 = q*b - 3*b. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 + -1.11. Let d = f + -32.59. Let x = d + 32.038. What is x rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtjjkjatjaajj. Give prob of sequence ttx.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 53 + 29. Let s be i\/9 - -494*4\/6. Differentiate 329*q + 30 - s*q - 24*q**2 wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17139280 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -9*d - 1 - 11\/2*d**2. Let f = 32 + -19. Let k(i) = -5*i - 4. Give f*k(w) - 6*g(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*9\/6*2565\/(-135)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from yku?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 12532*c - 25072.\nAnswer: 2*(c - 2)*(c + 6268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 119 - 128 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.75524 rounded to 0 decimal places?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 0.71. Let x = -61.71 - -58.8. Let j = l + x. Which is the closest to -0.2? (a) j (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20737626.6 + 1.92687.\nAnswer: 20737628.52687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z. Suppose 4960 = -0*u + 2*u. Suppose -175 - 43 = -35*b - 74*b. Let h(s) = -2480 - b*s + u. Determine i(h(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 2*sqrt(114)*-2)\/(-1*sqrt(150) + sqrt(150) + sqrt(150))*-6)**2*-6.\nAnswer: -36936\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 - x**4\/6 - x**3\/6 + x**2. Let g(o) = o + 8. Let v be g(-8). Suppose 3*h - h + 10 = v. Determine j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 11*t + 12*t - 1083*t**3.\nAnswer: -1083*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1655 (b) -12 (c) -568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 9073.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69586 - -18162022\/261. Let o = 2\/29 - c. Let b = 5.1 + -0.1. Put b, o, 4\/3 in ascending order.\nAnswer: o, 4\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/23 - 2115\/92. Find the common denominator of j and 31\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m - 3*j, -43*m + 2*j = -41*m - 2. Put 5, 104, m in increasing order.\nAnswer: m, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196262180 to the power of 1\/2, to the nearest integer?\nAnswer: 14009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(2*(-12)\/(-4)). Let y = 917 - 910. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -388, -454, -510, -550, -568, -558, -514?\n\"Answer: p**3 - p**2 - 70*p - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6922303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 19*q + 11. Let a(l) = -2*l**2 + 21*l + 12. Let g(w) = -3*a(w) + 4*f(w). Let p be g(-6). What is the highest common factor of 32 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s. Let f(r) = 53*r**2 - 168*r + 109. What is n(f(c))?\nAnswer: -106*c**2 + 336*c - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/15523 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -25372*d**4 - 101430*d**3 - 75884*d**2 + 174*d = 0. What is d?\nAnswer: -3, -1, 0, 29\/12686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 - 22?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137592053 a multiple of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -3\/16 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b + 8. Let o be v(-6). Let h = -39 + o. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/24 - 2*s**3\/3 - 4*s**2 - 14*s. Determine l so that i(l) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120 - 11731?\nAnswer: -11611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -799*s + 15. Let u be n(-6). Is 11 a factor of (-2)\/5 + u\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22.317, -3548, -2 in increasing order.\nAnswer: -3548, -2, 22.317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**5 + 605*q**4 + 470*q**3 - 2370*q**2 - 3655*q - 1435 = 0. What is q?\nAnswer: -1, 7\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.08 and 612030991570.\nAnswer: 612030991561.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*y + 563*y = 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/60 - a**4\/8 - 5*a**3\/6 - 8*a**2. What is the remainder when 38 is divided by c(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15542020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2, 44 = s - 2*r - 2*r. Let m(t) = -23*t + 486. Let h be m(0). What is the highest common factor of s and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9.06. Let y = 0.46 - p. Which is the biggest value? (a) 0.3 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16694.\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 25 = 7*s. Suppose 13 - 15*j - s*j**2 + 2686*j**3 - 5*j**4 - 2671*j**3 - 3 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56922130 and 313071715.\nAnswer: 626143430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 105082582302772 and -0.05.\nAnswer: 105082582302771.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1145\/55 - (-2)\/11. Let x = -15 + y. Solve x = 2*t - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 4 (b) 0 (c) -0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176b (base 13) to base 4.\nAnswer: -312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nejyt. What is prob of picking 1 y, 1 e, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 71. Suppose -50 = -3*z + n, z - 4*z + 3*n = -60. Let u be (z\/h)\/(0 + 1). Put u, -0.2, -1 in increasing order.\nAnswer: -1, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*q - 152, t - q = 6*t - 143. Suppose 2*n - t = -5*n. Let p = -0.5 + 0.8. Is p != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 + 9378*z\/5 = 0.\nAnswer: 0, 4689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3037 + 260213?\nAnswer: 255154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 558396155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 + 6*o + 2. Let k be a(-7). Suppose 5*z - 8*z + k = 0. Solve 4*d + 1 = -z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 5*x + 5. Let z be v(5). Suppose 61 = 3*f + f - z*r, 3*r - 11 = -f. Let w = 29 + -21. What is the remainder when f is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**3 + 3*p**3 + 4*p + 18*p**2 - 272 - 2*p + 272 in the form m*p**2 + t*p + c*p**3 + g and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -189, -424, -753?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 - 20*f - 26. Let x be r(-4). Let h(j) = -2*j**2 + 65*j - 30. Let w be h(x). What is the greatest common divisor of w and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 5*x - 4*x + 9, 0 = -4*l - 5*x - 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 51*t**5\/10 + 37*t**4\/12 + 61*t - 127. Let k(r) be the first derivative of m(r). What is the third derivative of k(f) wrt f?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1193, -3\/2, 0.177, 4 in decreasing order.\nAnswer: 1193, 4, 0.177, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*c = 31, -2*f - c + 1 = -3*f. Solve -f*n - 5*d + 11 = 0, -5*n = -n + 2*d - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11366068 or 11366072?\nAnswer: 11366072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9315*b + 74529. Determine i(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 6, -2*x - 4*y - 1095 - 52377 = 0. What is x rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331303 (base 6) to base 7.\nAnswer: 143205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o - 8*o - 12*o**2 - 6*o - 7*o. Let j(n) = -22*n. Give j(z(i)).\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*u + 1108*u + 5*u**3 - 556*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 383 + -239. Let r = -95 + h. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from jgjjjjgjjgqgggggu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 458 (b) -10 (c) 3 (d) -3 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17491 is divided by 79.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -579.17 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 2\/5, -0.087?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/3*-15 + 3 + -1 and 62?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 33*a**2 - 2915*a + 81140. Calculate l(29).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:07 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4349 + -4348. What is the closest to 1.81 in z, -1, -3, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -12\/245 (c) 338 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -305256, -305076, -304896, -304716, -304536, -304356?\n\"Answer: 180*a - 305436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3479296 * 0.065\nAnswer: 226154.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(4032))*-5)\/(sqrt(225)*-6).\nAnswer: -7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 193608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 0 - (-2050)\/690)\/((-2)\/(-33)). Let p be (0\/(-2))\/(10\/(-5)). Is p != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35398 and 19308?\nAnswer: 212388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33752001?\nAnswer: 3, 11250667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 - 6*b**2. Let p be (2\/(-6))\/((-5)\/435). Let u = p + -29. Let r be -2 + u - -6 - 9. Let s(q) = -6*q**3 + 5*q**2. Calculate r*s(l) - 4*h(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaababaaab. What is prob of picking 4 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5 - 8)*(6*i + 24 - 24)*(28*i + 8*i**2 - 28*i).\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -318823?\nAnswer: -318818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -14*l**2 - 120*l + 1227. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -l - 17 - 8, 3*l = 45198*t - 45194*t + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 6*k + 1. Let w be y(6). Let m be (21\/12 + -2)*w. Which is the third biggest value? (a) 0.1 (b) m (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324664 - 0.0824537?\nAnswer: 1324663.9175463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62437 is divided by 20806?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2 + -7.1. Let y = 0.95 + k. What is y rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0*h + 1 - 1 + 2*h + 2. Calculate the remainder when 53 is divided by n(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32782307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/20736 and -95\/576.\nAnswer: 20736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 + 11 = 5*y, -5*y = 5*h - 5. Let w be 0*((3 - y) + 1). Solve -5*o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 2\/3*i**3 + 0*i**2 + 0*i + 43. Let d(n) be the first derivative of -n**3\/3 - 2. Determine d(r(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*(-37)\/40 + 2 and 25\/(-18)*255\/(-75).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 677931449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 11 + 9 = 5*j, 0 = -3*i - 12. Let s = 9 + j. Suppose -s*u = -3*u - 126. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11) + sqrt(275) + -1 - -3*1*sqrt(1584))*1.\nAnswer: 3 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 5496*t**2 - 16460*t + 10968.\nAnswer: -4*(t - 1371)*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 876964 and 1984?\nAnswer: 434974144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**2*(a\/(a\/((a**(-6\/25)*a)\/a)))\/a*a**15*a*a*a*a*a**(3\/4)*a assuming a is positive.\nAnswer: a**(1851\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.9. Which is bigger: m or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvplvwvwwtwwwllp. Give prob of sequence lllv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.8 - -24. Put w, 1\/8, -13 in ascending order.\nAnswer: -13, 1\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 26. Let h(j) = 16 - j**3 - 3*j - 11 + t*j**2 - 8*j. Calculate h(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*y + 260, 4*y - 5*n + 83 = 345. What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**7*k)\/(k**(-4)\/k))**(-36))**(-9) assuming k is positive.\nAnswer: k**4212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -217 and 20514781707?\nAnswer: 20514781924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 2. Let k(z) = -13*z**3 - 3*z**2 + 2*z - 17. Let t(h) = -k(h) - 3*r(h). Is t(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q**5 - 750*q**4 + 1404*q**3 + 93048*q**2 - 362880*q + 355200 = 0.\nAnswer: -20, 2, 74\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9753767.00123 + -9754062. Let w = -0.0639 - -295.0639. Let h = o + w. Round h to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 v when three letters picked without replacement from vxvxvvvvvvxvxvvx?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.7 - 7. Let b = -1458 + 1460. What is the nearest to -1 in -0.5, b, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 877 - 787. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.107 - -0.107. Suppose -5*x + 2*t = 52, -2*x = 3*x - t + 51. Let b be -2 + x\/(-14) + 1. What is the closest to b in -3, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2896, -2704, -2402, -1990, -1468?\n\"Answer: 55*n**2 + 27*n - 2978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.249664 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 13*c + 9*c + 4 + 1.\nAnswer: 4*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 - 3.1. Let o = 1.75 + -3.75. What is the biggest value in -1\/8, o, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:28 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:40 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**7\/1260 - s**4\/4 + 5*s**3\/6 + 58*s**2. Let x(h) be the second derivative of o(h). Let u(t) = 137*t**2. Give x(u(j)).\nAnswer: -37538*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - 38\/8. Let p(j) = j**3 + 6*j**2 + 4*j - 4. Let z be p(g). Let h be 11299997*z - 3\/(-1). Round h to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11008679 to the nearest integer?\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 - 5*q - 46. Let n(m) = 5*m**2 + 4*m + 47. Determine 7*n(z) + 6*v(z).\nAnswer: -z**2 - 2*z + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0 = -16. Suppose 5*t - 4*f = -0*f - 4, -t - 12 = 2*f. Sort v, 5, t.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*r + 15, 4*r + 4*a + 8 + 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 931.6 - 936.6. What is the closest to 1 in v, 11, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 64 = -2*x. Find the first derivative of x + 13 - 7*o + 4 + 22*o wrt o.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9 - -4) + -14)*2\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 1974.\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.24, -3\/4, -0.5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-6)*(-7)\/((-70)\/24). Let m(y) = 16*y + 11*y**2 - h*y. Let p(k) = 4*k. Let j(w) = -2*w. Let d(t) = -9*j(t) - 4*p(t). Determine d(m(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1134 + 1523. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31021 (base 4) in base 11?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 2}. What is prob of picking 1 l and 1 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.79 + -52.83. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010001110000011111001 (base 2) in base 6?\nAnswer: -1533003121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74*g**2*j**4 + 1295*g**2 + 25*g*j**4 wrt j?\nAnswer: -296*g**2*j**3 + 100*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 110*u + 114*u = -b, -1 = -3*b + 5*b + u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(25)*-4)\/(2*sqrt(500)) + (sqrt(720) + -6*(sqrt(720) + 1) + -1)**2.\nAnswer: 4199*sqrt(5)\/5 + 18049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97271962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11401594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43156129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -192307 + 659*n**2 + 192307 in the form s*n + x*n**2 + w and give x.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 4:10 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318440553?\nAnswer: 1531, 861163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Let g = 5.1 + -5. Which is the nearest to g? (a) f (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 6*m**2 + 4*m**2 - m + 4. Let z be r(4). Let o be ((-3)\/z)\/(6\/(-4)). What is the second smallest value in 1, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -81. Let x(n) = -5*n - 5. Let i(b) = 3*b + 3. Determine y*i(o) - 5*x(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + (-158)\/(-8). Suppose 2*y = 2*h + 494, 0 = -5*y - 4*h + 431 + 921. Calculate the highest common divisor of j and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/515385 - 21643876\/591146595. Calculate the common denominator of m and -15\/7.\nAnswer: 8029","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*z - 218 = 0, 0*z + 3*z = -4*h - 433. Let k(p) = -3*p**2 - 23*p + 271. Let m be k(8). Is m >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -10*h + 54 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3351, -1517, 321, 2163, 4009, 5859?\n\"Answer: 2*z**2 + 1828*z - 5181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1948 (base 10) to base 3.\nAnswer: -2200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 739 = -4*p - 694, -958 = -2*z + 4*p. What is the greatest common divisor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:45 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2. Let p(l) be the first derivative of -10*l - 7 - 1\/3*l**3 + 0*l**2. Let w(u) be the first derivative of p(u). Determine v(w(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/6 - 35*u**3\/3 + 83215*u**2\/2 + 166575*u + 124956 = 0 for u.\nAnswer: -534, -3, -1, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 804*c + 12533. Give s(16).\nAnswer: -1355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:53 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 44, 66?\n\"Answer: 22*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741778 to the power of 1\/2, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k = 68 + 60. Let a be 0\/(-9 + (18 - k)). Factor 8\/3*r + a + 20\/3*r**2 + 16\/3*r**3 + 4\/3*r**4.\nAnswer: 4*r*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - 11. Let c = 18 + z. Is 4\/c + 1344\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8439*i + 1228896 = 3609*i for i.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:44 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6970 - 2070. Let b(w) = -1 - y*w + 1902*w - 4 - 1. Let m be b(3). Round m to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290010 divided by -48335.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226\/29, -3\/5, -3, -0.71, -4 in descending order.\nAnswer: 226\/29, -3\/5, -0.71, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f. Let x(q) = -309*q + 1. Give -3*n(i) - x(i).\nAnswer: 300*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*((sqrt(500) - (sqrt(500) + 1 + sqrt(500)))*1 - (sqrt(500)*1 + 3))**2.\nAnswer: 3200*sqrt(5) + 40320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1193355.160073 + -1.839927. Let h = k + 1193357.999979. Let o = h + -1. What is o rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1451 - 1383. What is the highest common divisor of 238 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2610441 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 + 8\/7*d - 2\/7*d**2.\nAnswer: -2*(d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n + 265. Let u be v(26). Solve -u*s + 3*i = -5, -4*i + 6 = 3*s - 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 22. Let q be d(15). Let w(x) = 3*x + 20. Let p be w(q). Let n = -39 + p. Solve 4*v - 3 = n*k - 1, k + 4 = -v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 5*m. Suppose 0 = 5*x + x + 30. Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 149, 212, 265, 308?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 57218, -3 in ascending order.\nAnswer: -4, -3, 57218","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 6, -32, -106, -228, -410?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 435152127 to the power of 1\/2, to the nearest integer?\nAnswer: 20860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 852 and 5?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 55. Let w be (-7130)\/93 + 8\/(-6). Let s = w + x. Round s to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -423 - -444. Suppose -434 + z = -7*q. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12110 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3*n + 1. Let y(q) = 2*q**2 - 16*q + 14. Let w be y(8). Let d be 1\/((6\/51)\/2). Let f = d - w. Give j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 + 111*b**2 - 58*b**2 - 53*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21141.4 - 21142. Let v = 0.06 + -0.02. Let g = v - -0.26. Which is the closest to l? (a) g (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35837730 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/23757 and -31\/5796.\nAnswer: 45898524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.2. Let s = 3639 + -3639. Sort s, 19\/5, p.\nAnswer: s, p, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 f when four letters picked without replacement from {g: 2, y: 4, f: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 593524.2 minutes?\nAnswer: 35611452000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (2 - (-334)\/(-83)). Let w = o + -176\/415. Let m = -0.77096 + -9.22904. Which is the closest to m? (a) 0.2 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -32 + (3\/6)\/1*0. Put -1, -4, x in increasing order.\nAnswer: x, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -2*t**2 - t + 5 + 0 - 6*t + 4*t. Find the first derivative of z(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65\/25 + -4)\/(1911\/(-819))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 16589\nAnswer: -182479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2256*h**2*l**3 - h**2*l + 1263*l**2 wrt l?\nAnswer: 13536*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 2*y**3 - 4*y**2 + (5 - 4 + 0)*(2 - 3 + 4)*(-3*y**2 - 3*y**2 + 11*y**2)*(7*y + 21 - 21) in the form b + f*y**3 + c*y + w*y**2 and give f.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -20, -4\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25730*2.2\nAnswer: -56606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(28\/(-63838)) + (-6)\/(-42). Let x = 27860 - l. What is x rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*j - 35*j - 216 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**5)\/(((k**(-2\/3)\/k*k)\/k)\/k))\/(k\/(((k**(-4)*k)\/k)\/k)*k\/(k\/k**5)) assuming k is positive.\nAnswer: k**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4811 + -4797. Calculate the highest common divisor of 1393 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 191)*14\/(-21). Suppose h = 6*p - 5*p. What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + 1*sqrt(684) + 4)**2*-1*5.\nAnswer: -3665 - 420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 2, f: 8, s: 6}. What is prob of picking 1 x, 1 f, and 2 j?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 65 + 175 = 0. Let q = 99 + p. Does 7 divide (q\/(-6))\/(3\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 89*c - 492. Let f be b(6). Let i(j) = -j**2 - 3*j + 3. Determine i(f).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 956000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(0 + (sqrt(720) - (sqrt(720) + -4 + sqrt(720)*-3))))**2.\nAnswer: 288*sqrt(5) + 6501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18910607, -37821216, -56731829, -75642446, -94553067, -113463692?\n\"Answer: -2*g**2 - 18910603*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 52 = 5*l. Suppose 3*g - 17 = 2*q, 3*q + 4 = 2*g - l. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6) + 7 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1691712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h = 10*h - 329 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509 = 27*a - 1590 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 1\/3*z**3 + 1\/20*z**5 + 0 - 19*z + 1\/12*z**4 + 9*z**2. Let r be p(0). Solve r = -4*l - 2*f, -4*l = 6*f - 2*f + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19860320*n - 19860322*n + 39720945*n.\nAnswer: 303*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42286 by -21143.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u + 3. Let h be c(3). Let i = 44119\/2 + -22059. Factor -9\/4*p**h - p + 0 + i*p**4 + 3*p**2.\nAnswer: p*(p - 2)**2*(2*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 6 + 4 = 5*p, 2*a = 6*a - 5*p - 898 + 878 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000098185 to seven decimal places.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156733246?\nAnswer: 2, 103, 760841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Calculate the common denominator of -37\/726 and 69\/154.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110173*t**3 + 13*t**2 + 2*t + 163947517.\nAnswer: 330519*t**2 + 26*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87135754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 5, 75 in increasing order.\nAnswer: 5, 33, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3268000 + 437\nAnswer: 3268437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 574544270 to the power of 1\/2, to the nearest integer?\nAnswer: 23970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -177*k**2 - 2*k + 6. Let y(o) = -530*o**2 - 7*o + 21. Let x(q) = -21*h(q) + 6*y(q). Let l(s) = -2*s**2. Determine l(x(z)).\nAnswer: -576738*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5159221*w**2 + 5*w + 60224731 wrt w.\nAnswer: 10318442*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkrnrkrnrrjrr. Give prob of picking 2 k, 1 r, and 1 n.\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08493 + -0.21507. Sort 269, 1\/6, o in descending order.\nAnswer: 269, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 9*f - 12. Let h be r(7). Let b(g) = 2*g**2 - 5*g + 7. Let x be b(h). Suppose x*w = w + 52. What is the highest common divisor of w and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 21*y = 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 192 * 0.742\nAnswer: 142.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((11\/3)\/((-320)\/384))\/(1\/(-5))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -517?\nAnswer: 4\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.69 - -1.33. Let u = h + -3.64. Let k = 1.7 + -0.9. What is the third biggest value in k, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (2 - 1) + -1. Suppose 0 = 4*q - 4, 3*q + 66 = 2*m + q. Let u = m + -21. Solve -t*d = 5*j + 22, 4*j + u = j - 2*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2 - 0\/(-2)). Let g be 3\/(-9) - 14\/l. Suppose -s - g*v = -17, -3*s + 54 = 3*v - 0*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**5\/5 - 129*a**2 + 1088*a + 42. What is the derivative of k(t) wrt t?\nAnswer: 8*t**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -16 (c) 224 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 16*f + 20. Calculate t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 1. Let z be j(-5). Sort 3\/5, z, 4 in descending order.\nAnswer: 4, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 465, 508, 555, 606, 661, 720, 783?\n\"Answer: 2*t**2 + 37*t + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/(-108)*-3*(-1)\/(-20). What is the nearest to -1 in 0.4, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*m**2 - 44*m + 133*m - 47*m + 3*m**2 - 43*m.\nAnswer: -41*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 5, 34 in increasing order.\nAnswer: -7, -3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*167*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570727658?\nAnswer: 2, 23, 881, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q**2 + 26*q**2 - 90*q**2 + 15*q**2 + 32*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f + 9. Let r(y) = -5. Let d be ((-2)\/3*-39)\/(-2). Let l(b) = b + 10. Let z(n) = d*r(n) - 6*l(n). Give -3*s(v) + 5*z(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.092 in 0.753, 6, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 - 8*u**2 - 10*u**2 + (-u**2 + 2*u**2 - 2*u**2)*(-1 + 1 - 1).\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/50 and -40\/3.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, -2 in descending order.\nAnswer: 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 545 - 515. Calculate the remainder when 87 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23383, 79546, 173151, 304198, 472687, 678618?\nAnswer: 921991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -7 (c) 5 (d) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1315 - -1311\/2630. Let a(m) be the first derivative of -u*m**2 - 11 - 8*m. Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 51*k - 390. What is the remainder when 1329\/21 - (-4)\/(-14) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 103*c**3 + 0*c + c - 569 - 104*c**3.\nAnswer: -c**3 + c - 493","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 574\/603, 24\/7, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11*d = -9*d - 274, -n - 78 = 2*d. Let s be n\/46 - (-6)\/207*-3. Sort 5, s, 3, 95.\nAnswer: s, 3, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let s be u(2). Suppose s = 5*k - 183 + 68. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -510513 + 126?\nAnswer: -510365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*c + 1060, 0 = -2*c - w + 202 + 862. Suppose 3*v - 403 = b, -c = -4*v + 3*b - 5*b. Is v\/4*(3 + (-3)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397931045.5 rounded to the nearest 1000000?\nAnswer: -1398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37554 by 11.\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = o - 0*c + 22, -3*c = 4*o - 27. Suppose -5*b = -0*q - q - 17, -o*b = 5*q + 1. Find g such that 0 + 2\/5*g**2 + 2\/5*g**4 + 0*g + 4\/5*g**b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 - 26*n - 216. Determine a(-7).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12 and -7\/1044.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -135?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1097\/9, 27, 3?\nAnswer: -1097\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5 + 32*c + 1 + 2 + 27*c. Is f(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18053, -72537, -163335, -290441, -453849, -653553, -889547, -1161825?\n\"Answer: u**3 - 18163*u**2 - 2*u + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 102. Let h be 14\/(-10) - (-4)\/10. Let j be (-8)\/(-2) - (h + 0). Solve j*l = 3*s, -2*s + v = -0*l - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 9*u - 2227 - 1307 = 45*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u + 3*t, -11 - 11 = 4*u - t. Let f = -4 + 3. Sort -3, f, u in ascending order.\nAnswer: u, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 812 + -5962?\nAnswer: -5150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -20. Let s = z - -11. Let u = s + 2. Put u, -0.4, 0.1 in descending order.\nAnswer: 0.1, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 98, -4, 0.4, -6?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 2 - 2)*(4 + 11 + 5)*(-3*h + 2 - 2)*(-7 + 8 + 2) to the form t + m*h + b*h**2 and give b.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 189*b - 192*b. What is the third smallest value in b, -1, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04378 to three decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:38 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -50) + 0 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 597.52 - -0.73251.\nAnswer: 598.25251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 - 21*n + 60. Calculate the remainder when o(4) is divided by 72.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 54.\nAnswer: -43\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 2*k - 2. What is n(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(350)\/(sqrt(10) - sqrt(1440)*2))\/(5*(sqrt(60)\/sqrt(2))\/sqrt(6)).\nAnswer: 3*sqrt(7)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 2, v: 1, m: 2}. What is prob of picking 1 m and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 16\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**2 + 7*u + 3. Let j(d) = d**2 - 2*d - 1. Let w(f) = -3*j(f) - t(f). Let q(n) = -n**2. Calculate -6*q(o) + w(o).\nAnswer: -6*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*g + 177 - 1135 = 0, -g + 953 = 3*i. What is the remainder when i is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68067700 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263.4 - -263. Which is the fourth biggest value? (a) u (b) 1 (c) 0.01 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -0.89\nAnswer: -38.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -303, -451, -597, -741, -883, -1023?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -2) + 106\/(-8). Which is greater: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(5) + 3 - (-5 + sqrt(5) + 1 - sqrt(5))) + -2 + -4))**2 + 3.\nAnswer: 36*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*i, -2*i + 3*i + 2 = 2*y. Find the third derivative of 2*o**3 + 4*o**i - 13*o**3 - 4*o**3 + 20*o**2 wrt o.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51445728.\nAnswer: 2, 3, 73, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 15. Suppose 0 = 8*g - 13*g - t. Suppose 0 = -3*p + 4*p - 2*u + 1, 5*p - u - 4 = 0. Put -3, p, g in descending order.\nAnswer: p, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/w**(2\/25))*w)\/w**(-2)*(w**(2\/11)\/w*w)**(-1\/11))**(17\/6) assuming w is positive.\nAnswer: w**(104482\/9075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -8*a**3\/3 - 12. Let k(x) = -2*x. Give t(k(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7\/128, -0.4, -0.2, 0.08 in decreasing order.\nAnswer: 4, 0.08, -7\/128, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130012132 (base 4) in base 12?\nAnswer: 37587a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 900 or 9\/10?\nAnswer: 900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t - 3 = -41*t. Solve 0 = m + 4*v - 1, -4*m + t*v + 5 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 1, 1\/2, 0.1, 1639, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16179?\nAnswer: 3, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4359 - 17193\/4. Let u = h - 61. Which is the second smallest value? (a) -0.08 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 439178798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 749*y = 745*y - 68511, 0 = -3*y + 9. List the prime factors of o.\nAnswer: 7, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4270 - -28?\nAnswer: -4248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7856 - 9966. Which is the second smallest value? (a) k (b) -4\/7 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1080238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50014 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 3. Suppose -2*z + 7 = q. Solve -z*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12225*f - 243*f**2 + 4543*f + 5052*f wrt f.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = -14*t - 452 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17834713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/4 - 5*v**3\/3 - 5*v**2\/2 + 5*v - 69. Let k(h) = 2*h**3 + 6*h**2 + 6*h - 6. Give -5*k(p) - 6*w(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.425, -5, 0 in decreasing order.\nAnswer: 14.425, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let q be (-2 - (v + 0))*-1. Find r, given that -r + 4*r**q - r + 2 + r**3 + 7*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5 - 0. Suppose -g = -w - 17, w - 125 = -z*g - 40. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/86, -36, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6586 is divided by 1840?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 9 - (-22 - -16)) + 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11001010000101011110100?\nAnswer: 11001010000101011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8587048 and 2.\nAnswer: -17174096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k - 4*k. Let d(x) = 25*x**2 - 15*x**2 - 13*x**2. Determine u(d(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 3182?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 453, 438, 417, 390, 357, 318?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 6*z**2 + 8*z + 9. Let r be j(-7). Suppose -n + 39 = r*n. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -567, -1164, -1795, -2478, -3231, -4072, -5019, -6090?\n\"Answer: -3*w**3 + w**2 - 579*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9eb4 + -10e?\nAnswer: -9fc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -20\/3*y**3 + 0*y**4 + 112*y**2 - 17 - 6*y + 1\/20*y**5. What is the first derivative of t(w) wrt w?\nAnswer: 3*w**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 773400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 5*s**2 - 6*s + 2. Let j be l(6). Differentiate -5*i + 4*i + j + 1 with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-10) + 7\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836 (base 9) in base 16?\nAnswer: e0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from {z: 7, f: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 + 2 + 2)*(-3 - 2 + 4) - 3 + 3 + 1)*(-853*v + 492*v + 915*v) to k*v + f and give k.\nAnswer: 2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njzddzoddnddn. Give prob of sequence nndz.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -49. Let j(a) = 16*a**3 - 6*a**2 + 22*a. Let k(d) = d**3 - d**2. Let q(c) = z*k(c) + j(c). What is the second derivative of q(y) wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 5. Let z = 227 + -212. Let x(y) = 15*y + 23*y + 13*y + z*y - 68*y. What is r(x(j))?\nAnswer: 4*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**4 - v + 1. Let l be ((-9)\/(-18))\/((-3)\/6). Let z(p) = 23*p**2 - 2*p + 2. Let m(q) = l*z(q) + 2*t(q). Find the third derivative of m(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, v: 4}. What is prob of picking 3 w and 1 v?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(-2)*q)\/q)**(-3\/28))**(-27)\/(((q**2\/q)\/q*q)**(-27))**(-4\/5) assuming q is positive.\nAnswer: q**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koxx when four letters picked without replacement from {x: 2, c: 1, z: 1, o: 1, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/15*(-3)\/1. Suppose -32 = -x*q + 18. Suppose -2 = -4*g + q. Put 1, 4, g in descending order.\nAnswer: 4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. Let b(f) = 3*f**2 + 4 + 0*f - 6 - 2*f**2 + f - f**3. Calculate b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + 3 + (2 - 2). Let j = 17 - f. Solve -3*w + w + 13 = j*d, 5*w - 20 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.29574665 + -0.3?\nAnswer: -35.59574665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -3. Let m = 117 - 67. Calculate the smallest common multiple of m and 2\/f - (-182)\/10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 62*o + 900. What is the remainder when h(73) is divided by 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 50*f**2 - 307*f - 3658. Calculate y(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -129, -231?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 - -1989?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5 = -5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r - 220. Let p be (16\/24)\/(1\/39). Let h be g(p). Let f(s) = -3*s + 1. Let j be f(-3). What is the highest common factor of h and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 62, 0.4, 1288, 0, 0.1 in ascending order.\nAnswer: -0.5, 0, 0.1, 0.4, 5, 62, 1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*k**3\/7 + 40504*k**2\/7 + 390690*k + 72900\/7.\nAnswer: 2*(k + 135)**2*(75*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(408\/(-2550))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at most 99\/509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3974*k**2*y**3 - 2*k**2 - 2825*y**2 wrt y?\nAnswer: -23844*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**4 - 2646552*v**2 + 6418704?\nAnswer: 8*v**3 - 5293104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63359341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -2) + (-6 - 5) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6893279 rounded to the nearest one thousand?\nAnswer: 6893000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10242 + 10247. Let j = 10 + -15. What is the nearest to -2\/13 in -1\/4, j, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12275632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from anonbnonannnnanannno?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 13231?\nAnswer: -13231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -33*v**2 + 49686*v - 2770776 = 0.\nAnswer: 58, 15924\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 171077, 171159, 171295, 171485, 171729, 172027?\n\"Answer: 27*v**2 + v + 171049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 25. List the prime factors of s*(-111)\/12*-2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ttytytypytpstppyty?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 18 = -8*a - y, -4*y = -3*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 191.\nAnswer: 50\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11315*k + 1373*k**3 - 1372*k**3 - 2909*k + 11397*k.\nAnswer: k**3 + 19803*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -629, -1253, -1875, -2495, -3113, -3729, -4343?\n\"Answer: a**2 - 627*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*h - v - 9, 0 = -5*h - 2*v + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81707.28 months to centuries.\nAnswer: 68.0894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*l - 4*q + 13, 4 = -2*l + 4*q. Let g = l + -2. Let v(d) = -3*d**g + 4 - 2 - d**3 - 6 + 3. Give v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 113, 101, 89, 77, 65, 53?\n\"Answer: -12*b + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*s**2 - s - s**2 + 0*s**2 + 2*s**2 + 6*s**2 - 2*s**2 - 3*s**2 + 3*s**2 + 7*s**2 + (-2*s - 2*s + 2*s)*(-2 + 2 + 2*s) + 0*s**2 + 3*s**2 - 4*s**2.\nAnswer: 7*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71e + 1?\nAnswer: -71d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((1920\/(-220))\/(-16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -1\/12*g**4 + 1\/10*g**5 + 3\/2*g**2 + 0 - 2\/3*g**3 - g. What is the remainder when 12 is divided by s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 + 380*q**4 + 2835*q**3 + 7960*q**2 + 9580*q + 4080 = 0. Calculate q.\nAnswer: -68, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 78009*m**2 + 17*m - 38. Let z be h(10). Suppose -3*r + z - 24541035 = -3*d, 3*d - 11160003 = 2*r. What is r rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.001 + -3.099. Let g = 3.10019 + b. Round g to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065*z + 531*z + 537*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1021*h**2 - 9187*h + 71. Determine x(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4384469 is divided by 2192233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - c - 12. Determine m(-9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:16 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*x + 330, 2*x + 235 = 5*p + 29. What is the units digit of (-2)\/12 - 19566\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 8. Let r(x) = -2*x + 960. Determine -r(g) - 4*v(g).\nAnswer: -2*g - 992","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3 - 6, -3*v = -5*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18984, 37975, 56966, 75957, 94948, 113939?\nAnswer: 132930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - (sqrt(300) + (sqrt(300) - (1 + sqrt(300)))))*-3 - sqrt(300))**2 + 4 - (sqrt(300) - (sqrt(300) - -4*(sqrt(300) + 3)))**2*6) + -5.\nAnswer: -29356 - 5700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319752 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -10, 9, 30, 53, 78, 105?\n\"Answer: k**2 + 14*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 164*b. Let n(a) = 7*a**2 + 6*a - 6. Let m(y) = -190*y**2 - 165*y + 165. Let g(p) = -2*m(p) - 55*n(p). Determine x(g(s)).\nAnswer: -820*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -29. What is the highest common divisor of o and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(4\/(-12)). Suppose 0 = -0*x - x + h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 23. What is the greatest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 29. Let h be t(5). Suppose 4*a = -5*l + 13, h = 4*a + l - 0*l. Let w(q) = -q**a + 0*q**2 + 73 - 73. Let m(j) = 39*j**2. Calculate m(w(b)).\nAnswer: 39*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 58*l**3 - 60088*l - 2*l**2 + 6*l**2 + 60090*l to the form b + q*l**3 + i*l + n*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + ((2 - 0) + -9 - (13 + -33)) + 42.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 226477?\nAnswer: -8\/226477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14696 + 7354 + 7347 - 13*b)*(3*b**2 - b**2 + 0*b**2).\nAnswer: -26*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.348 + -0.722. Let n = a - -50. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8920085, 2.\nAnswer: 2, 4, 8920085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amqdxmk. What is prob of sequence xq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 4.9. Is q equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*s + 19 = 2*s, 2*s = -n + 7. Let w(f) be the third derivative of -3\/4*f**4 + 0*f - 1\/6*f**3 + 0 - 42*f**2. Calculate w(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1689 and 10.\nAnswer: 16890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/17 - (-299)\/663).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14771, -14730, -14673, -14600, -14511, -14406?\n\"Answer: 8*f**2 + 17*f - 14796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1364 and -39\/308?\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - -11)*(-2)\/(-6). Let p be ((-8)\/(-14))\/(x\/7). Calculate the greatest common divisor of 32 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 16)*(-2)\/3. Let v = 18 + z. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8484, 467, -1 in descending order.\nAnswer: 8484, 467, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -5*a + 6. Let r = 8 + a. Factor 24*m**4 - 6*m**3 + r*m**2 - 6*m**2 + 0*m**2 - 14*m**5.\nAnswer: -2*m**2*(m - 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -63. Let m(w) = -w + 36. What is the remainder when 51 is divided by m(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(13) + (sqrt(26)*-1)\/sqrt(2)) + (-2 + sqrt(13))*-1 + (4*sqrt(117) + sqrt(117))\/sqrt(9).\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*h - 4*u - 28, 12*h + 86 = 11*h - 5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176\/3 - 66. Is m equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*y - 24, y + 3*r - 5*r = -8 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 11. Let x be y(7). Suppose -3*g - 2*o = -499, -o = -5*g + x*g + 158. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*a + 37 = 0, 16*k + 3*a = 21*k - 77. What is the remainder when 50 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20315379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 20 - 44 = 0. Sort -5, y, 1, 2 in decreasing order.\nAnswer: y, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 75.876. Let d = -86 + 86.194. Let y = d + q. Are y and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 11:03 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -83. Let r be 10\/(h\/(-3))*61. Which is smaller: 184 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -95*p**2 + 1. Let w(s) = -2*s. Let t(j) = j. Let z(x) = -2*t(x) - 2*w(x). Give z(n(f)).\nAnswer: -190*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 147644.65 to the nearest 100.\nAnswer: 147600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 <= 2\/421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161900284.\nAnswer: 2, 3, 180158357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4) - (-4 + 1). Which is the second smallest value? (a) 3 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14561, -3, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1662\/685 + 13\/548. Calculate the common denominator of j and (2\/(-4))\/(-1*36\/188).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/12*4\/(-22). Let j = 14\/11 - t. Let o = 1 + -1. Is j less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*c - 5805 - 13113 = -6478 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*t - 1064 = 881*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(162\/12) - 58\/(-18). Suppose 3*u - 14 = -0*u + i, 0 = w*i - 3. Calculate the remainder when 8 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)*g)**(-5\/4)\/((g\/(g**(-11)\/g))\/g)**39 assuming g is positive.\nAnswer: g**(-31919\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1570 times -0.5\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvgd when four letters picked without replacement from {d: 1, g: 3, z: 2, v: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12542 - -60442. Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-2 - sqrt(352) - sqrt(352)) + sqrt(352))\/(sqrt(77)\/(sqrt(35)\/sqrt(5))) - (-3 + sqrt(12)\/(sqrt(66)\/sqrt(275))).\nAnswer: -17*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -6*g + 33 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.081 + 22.889. Round h to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/8 + -25\/72. Let p = 74 + -67.6. Let l = 8.4 - p. Put -2\/7, l, -21, u in descending order.\nAnswer: l, u, -2\/7, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and -0.028.\nAnswer: -47.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -2*f - 1232. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 118.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - ((-2 - -4) + 14 + -127 + 120).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((sqrt(119) + (sqrt(119) - (sqrt(119) + sqrt(119)*-1)))\/sqrt(7) + -1 + sqrt(119)\/sqrt(63)*6).\nAnswer: -32*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1850*c**3 - 1861*c**3 + 3719*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205319433 rounded to the nearest one million?\nAnswer: 3205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**2 + 1235532*b - 494216 = 0. What is b?\nAnswer: -61777, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 + 2*a**2 - 7*a + 7. Let x(f) = 9*f**3 + 2*f**2 - 8*f + 6. Let u(o) = 6*i(o) - 5*x(o). Let q be u(9). Is q\/7 - (-20)\/70 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6116*-6.\nAnswer: 3.6696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -9) + 1 + 1. Find the common denominator of 3\/o*(-188)\/(-12) and 151\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -3, 0, 8 in descending order.\nAnswer: 8, 0, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0 - 7*n - 12*n**3 + 14*n**2 + 3 + 7*n**4 - 9*n. Let k(c) = 15*c**4 - 24*c**3 + 27*c**2 - 33*c + 6. Let u(f) = 4*k(f) - 9*v(f). Solve u(i) = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*s**2 + 3\/7*s**3 - 3\/7*s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116938448 and 112?\nAnswer: 818569136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 7229*t**2 - 21694*t + 14464.\nAnswer: (t - 2)*(t - 1)*(t + 7232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(609\/(-6) + (-5 - -7)). Suppose -8*r + 281 = -b. Let g = r + -21. What is the lowest common multiple of g and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 22\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/7 - 71*y**3\/7 + 113*y**2\/7 + 71*y\/7 - 111\/7 = 0. What is y?\nAnswer: -37, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/(-60480))\/(250\/400)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a01 + 1?\nAnswer: -7a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1941198185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -4) + -11 + 3 - (0 - 15 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d + 6. Let t be r(6). Let i be 0\/t - -19*1. Suppose 6*a - 8 = 2*a. Solve 4*x - 16 = a*l + 6, -x = -5*l - i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 279.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 155.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53318 is divided by 52419.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, a: 5, i: 1, r: 1}. What is prob of sequence zi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*g - 16 = -g, 4*g = 2*u - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 172*d. Let k(y) = 221501*y. Calculate k(i(j)).\nAnswer: 38098172*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 26. Suppose 5*v - d*v - 120 = 0. What is the greatest common factor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 - 149. Solve -r*d - 11 = -113*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 34, 46?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9395 divide 2317339398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**6\/12 + 7*o**5\/10 - 13*o**4\/8 - 43*o**3\/6 - 6*o**2 + 232. Factor r(k).\nAnswer: k*(k - 3)*(k + 1)**2*(k + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 + 170*f**2 - 152*f**2 in the form q*f**2 + p*f + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39390.437 + -39349. What is c rounded to one decimal place?\nAnswer: 41.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sywc when four letters picked without replacement from wcswyuz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(56 + 30) - 1\/2*0.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1118 - -1150. What is the remainder when 211 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 538 = -82*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Suppose 3*n - 34 = -5*t, -o*t + 3*t = 4*n. Suppose 0 = 6*d - 4*d - t. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 498*s - 484. Let p be r(1). Let n = -20 - -20. Suppose -505 = -4*h - m, -h - m + n*m = -127. What is the greatest common divisor of h and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 44 = c. Let h(t) = -t + 18. Let d be h(c). Find the second derivative of 0*r + d*r**2 - 28*r**2 - 5*r wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43515 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 27. Suppose -4*n = 5*o - 10*o - 15, 2*n - 15 = -5*o. Is v - ((-4 - n) + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 6*u**2 + u + 10. Calculate f(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 64352 + 5*o**2 + o**3 - 64352 + 2*o. Let g = -9 + 6. Does 12 divide l(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 14 = 4*w - 5*s, -3*w = -5*s + 24. Let o = 5 + w. Suppose -o*x - x + 135 = 0. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -221\/59263 + -775192783\/7111560. Let m = -213 - -322. Let r = m + d. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363418645 a multiple of 3964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -58552.714 to the nearest 100.\nAnswer: -58600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -993*i - 71487. Calculate o(-72).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + w + 27049 = -19*a, 3*a - 20258 = -5*w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:29 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101111111001000 + 101?\nAnswer: -1010101111111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from jmmllllllllvl.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 1358*k**2 + 1357*k - 8146\/3.\nAnswer: (k - 1)*(k + 2)*(k + 4073)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:29 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29070\/105 - 2\/(-14)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 7*x - 3*x - 4*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*h + 275 = 0, 13*w + 9*h - 4*h + 51 = 12*w for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 65. Suppose -33 = -3*d - 3*c, c = 3*c + 6. Calculate the greatest common divisor of y and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148 and 27060?\nAnswer: 189420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 53 + y**2 - y**2 - y**3 - 52. Let c(k) = 1 - 1 + k. Determine c(r(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**2 - 1\/3*j**3 + 1\/12*j**4 + 0 + 3*j. Calculate p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53248 and 265005?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 27. Give o(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -28*g**2 + 2130*g + 4239. Give o(-2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67480690?\nAnswer: 2, 5, 89, 75821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*j = 4*m + 20, -j - 5 = -m. Let s = -38 - -227\/6. Let c = 4\/23 - 74\/161. What is the smallest value in s, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 43. Let w = x + 18. Suppose 5*q = 36 + w. Calculate the smallest common multiple of 72 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 + k + 4. Let m be f(-3). Suppose -3*p = -5 - m. Solve 3*b + 3 = p*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52813 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -20*t + 11. Let f(u) = 18*u - 13. Determine -5*f(q) - 6*s(q).\nAnswer: 30*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374881 is divided by 56535.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -307 - 27?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 91. Let u(n) = -113*n**2 + 8. Determine v(u(k)).\nAnswer: 226*k**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-29)*-6)\/(44\/(-2))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18113 = -f - 4691. Suppose 2*s - 44036 = -f. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 101. Let v(m) = 284 - 184*m + 194*m - 284. Calculate w(v(j)).\nAnswer: -10*j + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9 - -4) + -493)*(-2)\/4 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25162\/3 (b) 28 (c) -3 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*w - 1 = 2, 3*n + 3*w = -51. What are the prime factors of (-6 - 464\/n)\/(2\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(-525)\/(-350).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b - 8. Let f be v(2). Let k be (1 - 6) + (0 - f). Suppose -5*s = -8*s - 6. Sort -3, k, s in ascending order.\nAnswer: -3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.567135305 rounded to 4 dps?\nAnswer: 0.5671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 3*w**2 + 4*w**3 - 2 + 230*w - 2*w**3 + w**4 - 231*w + 4 to the form a*w**3 + y*w**4 + p*w**2 + d + s*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 210774\/(-15)) + (-4)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.133855 centimeters to millimeters.\nAnswer: 11.33855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36 and 147081898923.\nAnswer: 147081898887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 16) to base 5\nAnswer: -4222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -95. Let q = 0.02285 - -78.97715. Let y = q - m. Which is greater: -1\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -132*m + 2. Let h be c(3). What is the tens digit of h\/(-14) - (-4)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 7648.\nAnswer: 7648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 - 92 + 140 + 3*o as a + i*o and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbmtbmmtymmm. What is prob of picking 1 y and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 7*z - 5. Suppose 4*o - 15 = -5*h, 5*h - 3*h = o + 6. Suppose -29 = h*y - 11. Calculate k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, 23901 in descending order.\nAnswer: 23901, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 35 + -17 + 50 + -5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016327750 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/32 - 476\/(-224). Let k be 2\/1*(-28)\/(-35). What is v in -2\/5*v**3 - 4\/5 - 2*v - k*v**l = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 12*x**2 - 5*x - 8. What is l(12)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 4*s - 2. Let v be n(-2). Let r be 3\/(30\/(-8))*5. Let g = 5 + -5. What is the third smallest value in g, v, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6510.4 to the nearest 100.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063.79853 - 1383?\nAnswer: -319.20147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((880 - 880 + 57*g)*(0*g - 3*g + g) + (1 + 3*g**2 - 1)*(0 - 3 + 2))*(-3*g - 6*g + 2*g) to z*g**3 + k*g**2 + w + s*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 56, 114, 196, 302, 432?\n\"Answer: 12*n**2 - 2*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 33 - 0. Suppose j - 5*j = -48. Let n be (-395)\/(-4) - (-3)\/j. What is the greatest common factor of s and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 48*u - 586. Let z(i) = -97*i + 1075. Let f(v) = 11*y(v) + 6*z(v). Calculate f(2).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 2430452*f\/5 + 738387115538\/5.\nAnswer: 2*(f + 607613)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) 1 (c) -4 (d) -257434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 3*n**2 - 5*n + 1. Let r be j(0). Let k(g) = 3*g + 2. Calculate k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b84b (base 13) to base 6\nAnswer: 314234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 2.4?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-35)*g)\/g**36 assuming g is positive.\nAnswer: g**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*t = -3*l + 3, -5*l + 37 = 3*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 80585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-8))\/((-249)\/(-664))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.447185 times -0.32?\nAnswer: 0.1430992","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 1, m: 3, o: 1, c: 1, d: 2}. Give prob of picking 1 m and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142\/63 + 19\/9. Let k = 484 - 487. What is the fourth smallest value in d, -1, k, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from mxxxmmmfmxfxxxxmmm.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 - 7*t + 5. Let v be l(23). Let c = -1628 - v. Suppose 3*x + c = 6*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 396 = 3*w. Suppose -w*x + 16*x = -654000. Round x to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + u = -29506, 3*a - 17718 = 9*u - 6*u. What are the prime factors of a?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/12 - 25*r**4\/8 - 3190*r**3\/3 - 9761*r**2. Factor q(u).\nAnswer: 5*(u - 44)*(u + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -41\/2. Let w = -10\/127 + 1066\/635. Are z and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-17)\/4)\/(21\/24 - 1). Calculate the greatest common divisor of 170 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 1:01 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -7*m**3\/3 + 33. Let t(q) be the third derivative of -q**4\/12 - 2*q**2. Give t(s(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576*c + 1429*c + 443*c - 302*c - 8*c**2 - c**3 + 48*c**2 wrt c?\nAnswer: -6*c + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -11. Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1861191144 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8, -u + 2*u = 4*c + 15. Let t = -31\/5 - -667\/60. What is the common denominator of -6*u\/2 - 1488\/320 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c**2*y**3 - 96*c**2*y - 1923*c**2 + 2*c*y - 2 wrt y?\nAnswer: -33*c**2*y**2 - 96*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508004 (base 9) in base 15?\nAnswer: 116a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/50, 58\/3, 2, -231 in decreasing order.\nAnswer: 58\/3, 2, -1\/50, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 6 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 5, 0.4, -5, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/10)\/((-1338)\/120 + 11). Solve m*k + 15 = -9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-99)*-6*108\/(-90).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26130\/(-104))\/((-36)\/24) - 3\/(-2). Let x(q) = -24*q - 3. Let b be x(-5). What is the highest common divisor of b and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (1\/(-4))\/(51\/1020).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1881 <= -13161\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r = 20 - 119. Solve -r*g + 10*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 10*z + 13. Let t(o) = 2*o**2 - 19*o - 26. Let v(j) = 5*n(j) + 3*t(j). Let g be v(9). Suppose 0 = g*c - 20. Which is greater: 19\/4 or c?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244120 is divided by 622047?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 147.55457 times -14\nAnswer: -2065.76398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) -0.3 (b) 4 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37123 is divided by 3357.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100191, -92316, -84443, -76572, -68703, -60836?\nAnswer: -52971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2825 is divided by 77?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let g be 4*(2\/1)\/2. What is the second derivative of -u**g - u**p + u - 3*u wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/85 and 21\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + 13 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/120 + 3*i**4\/8 - i**3\/6 - 2*i**2. Let n(q) be the first derivative of k(q). Let p be n(7). Does p = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-684)\/8)\/(((-28)\/1176*-63)\/(-1))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-9)\/(-5))\/(12\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 233247, 466491, 699735, 932979?\n\"Answer: 233244*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccccocoocoocc?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 924859810 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 10:36 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.3382 - 0.6158. Let z = -0.046 + n. Let u = -1.4 - -1.5. Sort 1, u, z in ascending order.\nAnswer: z, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -295 (b) -0.2 (c) 5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(110)\/sqrt(2))\/(-5*sqrt(80) - sqrt(5)).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 3*p**3 - 5*p**3)*((-3*p - p + 6*p)*(3 + 1 + 5) - 1 - 2*p + 1).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from eriemiirieiiiei?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 0.01. Let w = 3 - 2. Which is the third biggest value? (a) o (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -609, 5, 8 in decreasing order.\nAnswer: 8, 5, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 314 + 6 = -31*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 77 - 77 + (h + 5*h - 4*h)*(-1 + 3 - 4) - 2 + 2*h + 2 as v*h + k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 4*q + 3*q)*(-2 + 4 + 0) - 4*q - 1 + 1 + (-5*q - q + 4*q)*(-2 + 6 - 2) in the form c + o*q and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 3.1. Let t = 1 + v. Let x = 1.9 + t. Which is bigger: x or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 36. Let h = w - 43. Let n = -4 - h. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376851 is divided by 1262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z. Let c(m) be the second derivative of -m**4\/4 - m. Calculate c(u(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.035, 33.4, 8, 1?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -2*a - 37. Let m = a + -56. Suppose -280 = m*g - 32*g. What is the greatest common factor of g and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*b + 1696, 185*b = 181*b - 8. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-11 - 0 - (-7 - (0 - -4))) + -48\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 1. Let j be r(3). Suppose -6*o = -7*o + j. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Let o = u - 0. Let p be ((-2)\/((-4)\/(-18)))\/o. Let q(f) = f**2 + 9*f + 4. Let g(s) = 2*s + 1. Determine p*g(v) - 2*q(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (172\/(-26))\/((-12)\/582). Let j = 321 - z. Let x = -2 - -3. What is the third smallest value in x, j, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2416*a**4 + 244*a**2 + 2.\nAnswer: -57984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -6*p + p. Let k be ((-48)\/(-60))\/((-2)\/p). Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 2*o - 1. Let x(j) = 666*j**2 + 222*j - 111. Let l(s) = -4*x(s) + 444*y(s). Let f(k) = -k. What is l(f(i))?\nAnswer: -2220*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 6*q**2 - 2*q**2)*(-2*q**3 + 0*q**2 + 0*q**2) + 2 - 107*q**5 - 106*q**5 + 193*q**5.\nAnswer: -24*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/(-50)*(-10)\/4. Suppose o*v = 2*v + 8. Suppose -2*y + v = -8. What is the remainder when 21 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60189 is divided by 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38*-53.4\nAnswer: -2029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13631670 divided by -454389?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:45 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 - 111. Let q(y) = -5*y**3 + 5*y**2 - 9*y + 5. Determine q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (((0 + sqrt(1377))*4)**2 + sqrt(1377)) - sqrt(1377).\nAnswer: -22032 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + f + 3*f + 2*f - 4*f + (3 - 3 + f)*(0 - 5 + 3) + f - f + 2*f + 3 - 1941*f - 2 + 2131*f.\nAnswer: 192*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.023 - -0.077. Let f(w) = -w**3 + 8*w**2 - 6*w - 6. Let h be f(7). Let i be (-2)\/(h - 6\/4). Which is the closest to k? (a) 0.2 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1232169, 1232208, 1232247, 1232286?\nAnswer: 1232325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8807697.\nAnswer: 3, 19, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 42. Suppose -82 = -2*r - 2*f, -f + 10 - 95 = -2*r. What is the remainder when r is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 208, -527, -1962, -4331, -7868, -12807, -19382?\nAnswer: -27827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a - 881*a**5 - 13*a + 9*a + 10*a wrt a.\nAnswer: -17620*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.6 - -98. Let f = l - -12.599939. Round f to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, i: 9, x: 3}. Give prob of sequence xf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9)*(-2)\/(-4))\/(((-59192)\/42)\/(-151))\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/12 - -2)\/((-110)\/33).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402359 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 390796795 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -9\/2*s**2 + 7 - 4*s. Does 4 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -5*b**3\/6 + b**2\/2 + b. Suppose 0*i = -i - 1. Calculate w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*f = 258*f + 262*f - 2*h + 18, 0 = -4*h + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 0.067 (c) -0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 22*i**2 - 4*i + 5. Let w(x) = -x**2 - 387*x - 1888. Let s be w(-5). Determine t(s).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 13. Let o = -6.8 - -7.3. Let x = -1 - 1. Which is the closest to u? (a) x (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 144, 2\/5, -0.05 in decreasing order.\nAnswer: 144, 2\/5, 0.3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1764022402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 8*o - 16 = 0. Let h(a) = -a**3 - 8*a**2 - 9*a + 10. What is the units digit of h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2022 = -3*m + 3*g - 2*g, -3 = g. Let u = m + -202. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r - 5*x + 49 = 0, 4*r - 5*x = 7. Let f = r - 5. Suppose k - 12 = -f*k. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -2*sqrt(76))\/sqrt(4)*-2 - (sqrt(19) + 2 + -1 - (2 + sqrt(19)*2))**2.\nAnswer: -20 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4 + 3\/(-2). Suppose f*u = 1 + 11. Calculate the highest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ekkeekekkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 6\/3 - 0. Solve 0 = -4*i + i - s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -26. Which is smaller: g or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*q + 256*q - 2 + 2 - 128*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4858, 9, 0 in descending order.\nAnswer: 9, 0, -1, -3, -4858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g + 6*d = -41*g - 80, -3*d + 36 = 3*g. Solve 3*z = 4*y + g, -5*y - 15 = 112*z - 114*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:51 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (9 - 29)) + (13 - 17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309233 = 63*v + 69770. What are the prime factors of v?\nAnswer: 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.3, -13.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 222 - 219. What is the third derivative of -3*y**i + 152*y**4 + 192*y**2 - 147*y**4 + 11*y**2 - 7*y**3 wrt y?\nAnswer: 120*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 14127\nAnswer: -169524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000344 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 + 4*q - 18. Let j be h(0). Suppose -95 = 5*w + 2*c, -w = -3*w + 2*c - 38. Is (-1)\/(j\/w + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -87882*z**2 - 350170*z - 10864. Let n(r) = 194*r**2 + 773*r + 24. Let s(b) = 1358*n(b) + 3*q(b). What is the second derivative of s(l) wrt l?\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b - 17. Let z(g) = 3*g + 8. Let t(f) = -4*p(f) - 9*z(f). Let q be t(5). Solve -o = -q - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n - 36 = 37*n. Let y(t) be the third derivative of -1\/135*t**5 + 0 + 1\/108*t**4 - 3*t**2 + 0*t**3 + 1\/540*t**n + 0*t. Find r such that y(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 254 - 79. Let s be 126\/n*(-10)\/(-6). Let h(i) = -i**2 + 4*i + 6. Determine h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2460*l = 2436*l - 168 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/7 - 6*w**2\/7 + 72*w\/7 - 64\/7 = 0. Calculate w.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 - -235. Calculate the greatest common factor of 156 and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 <= 846\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -509, -478, -441, -410, -397, -414?\n\"Answer: -2*y**3 + 15*y**2 - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a + 6. Let x be m(0). Let b be (-3)\/3*297\/(-9). Let u = b - x. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 83, 108, 133?\n\"Answer: 25*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zope when four letters picked without replacement from ooeooopooczoooooooe.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175732, -175849, -175970, -176095, -176224, -176357, -176494?\nAnswer: -176635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2 - (-10)\/(-5). Suppose 0*c = -a*c + 28. Let l be ((-8)\/10)\/(c\/(-35)). Let r(g) = g**2 - g. Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4046 and 546.\nAnswer: 157794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*u + 10 = -291*u. Let x(s) = -s + 7. Let m be x(6). Let y = -3 + m. Are u and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2391, 5830, 10315, 15846, 22423?\nAnswer: 30046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 28. Determine t(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157\/598 + -5\/46. Let v be (-37 - -42) + (-126)\/26. Determine j so that -2\/13*j**3 + x*j + 2\/13*j**2 - v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18706 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633699 a multiple of 2010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3955693 * -8.4\nAnswer: 33227821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*(-8 - -4). Which is the nearest to i? (a) 0.5 (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 11*o. Let d(q) = -2*q. What is d(w(y))?\nAnswer: -4*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.744 - 6.744004267. Round w to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 17 = -n, 5*n = 2*z + 7. Suppose 0 = 3*t, -3*r + 0*r - n*t = -18. Let o = 39 - 21. Calculate the greatest common divisor of r and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.828 - -0.9. Let a = z + -2.072. Put 5, -2\/17, a in descending order.\nAnswer: 5, -2\/17, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1064)\/(-57))\/(-5 - (-4593)\/918)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 324.2439 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(-4 + 1*sqrt(1100) + (sqrt(1100) - (sqrt(1100) + -2)*-5)))**2.\nAnswer: -1960*sqrt(11) + 54092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.125 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1541 + 1521 - (-16 + 2 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*r**3 - 6*r**3 - 18*r**2 - 6*r**3)*((0 - 4 + 5)*(4 - 4 - 2) - 2 - 1 + 5 - 2 + 2 - 1) to q*r + k*r**2 + y + x*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4141214 (base 5) to base 15.\nAnswer: -1538e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3136 (base 11) to base 10\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 0) + 1 + (-1140)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36839 and 496859.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-5 - -2)*(-12)\/(-90). Solve v + 4 = u, p*v = 5*v + u - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 817 - 814. Solve -2*t + 5 = -7*t, -p*r = 5*t + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2232574133\/1162921070 - 4\/1151407. Let m = -2\/101 - j. Find the common denominator of -14*(0 - (-2)\/(-8)) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.584 from -0.14.\nAnswer: -0.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*p + 36*p + 18*p + 15*p.\nAnswer: 112*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49093 - 49093.00080796. Round x to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 7, 6\/17, 1\/38, 15, -12?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 180, 182, 182, 180, 176?\n\"Answer: -c**2 + 5*c + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 10*h - 27. Let a be y(4). Suppose -3*p - 24 = -5*p. Let w be (3\/(-10))\/((-9)\/p). Do a and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0 + 9. Is (-3)\/h*(-116 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 100, 150, 198, 244, 288?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -25. Factor 7\/4*o + 1\/2 + 5\/4*o**m.\nAnswer: (o + 1)*(5*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 381*p**2 - 5884*p + 7700.\nAnswer: (p - 14)*(381*p - 550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:43 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f. Let j(l) = 12*l**2 + 2*l. Determine j(q(z)).\nAnswer: 300*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5 = -23. Suppose 0 = -0*s - 4*s + 9200000. Suppose -i*d - s = -3*d. What is d rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - 3*m**2)*(4*m**3 + 0*m**3 - 3*m**3) - 2*m**5 - 4*m**2 + 4*m**2 + (-3*m**4 + m**4 + 3*m**4)*(3 + 1530*m - 2 - 1597*m).\nAnswer: -70*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)*(-33)\/22. Suppose b*h - 7 = i, 3*h - 4 = 4*i - 3. Suppose -1\/3*v**i - 4\/3 - 4\/3*v = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 1\/2*r**2 + 9*r - 1\/20*r**5 + 0 + 1\/3*r**3 + 1\/6*r**4. Determine t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/158634 and 53\/3066?\nAnswer: 11580282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -0.2, 3, 0.1, 22\/5, -8\/7 in decreasing order.\nAnswer: 22\/5, 3, 0.1, -0.2, -8\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 y when three letters picked without replacement from xjqxyqhiy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 5}. Give prob of picking 1 h and 1 n.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3350058, 6700122, 10050186?\n\"Answer: 3350064*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = 0, -2*z + 4*u + 3 = 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-9)\/2)\/((-2)\/(-36)). Suppose 0 = -29*o + r*o + 28. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3678*b + 129602 + 102112 = 0 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1806.4 and 1.\nAnswer: 1806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 223, 249, 275, 301, 327?\n\"Answer: 26*v + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyfafv. What is prob of sequence yyv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i - 30. Give c(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4144 divided by -74\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b - 3161 = -154*b - 76*b + 3095 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*-2*(-180 + (-125 - -135))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3241527 by 3.\nAnswer: 1080509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 210 = -v - 233, 2*v + 37 = -5*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1097a9 (base 12) to base 9\nAnswer: 444203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1139 - -1144. Solve -2*c + t*z - 40 = 3*c, 9 = 2*c + 3*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:02 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -19448*f + 3402. List the prime factors of m(-4).\nAnswer: 2, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven quarters of a milligram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - k = 4*k + 20, 5*t + 4*k = -29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386110 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f. Suppose f = x + x - 10. Suppose x*r - 20 = r. Solve 2*z + r*o = -11, z - o = -5*o - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*t - t. Suppose -o - 4*o + 315 = t*s, -s = -5*o + 333. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4095*w**2 + 54*w**2 - 331*w**2.\nAnswer: -4372*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96)\/(-160))\/((-2)\/300))\/(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:47 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/7 and 29\/183596784.\nAnswer: 183596784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 12*h**2 + 14*h - 11. Let p be x(13). Suppose -3*y = -3*l + 1272, 0 = -2*l - 3*y + p*y + 833. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, 4, 2 in ascending order.\nAnswer: -152, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -306, -614, -1046, -1602?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3344 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 347 and 1180841?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (2 + 5*sqrt(98))**2 - sqrt(98).\nAnswer: -2454 - 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/11)*p**11 assuming p is positive.\nAnswer: p**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v**(-15))**(-42)*(v**(-1\/9)*(v*v\/v**(-2))\/v)\/(v*v**7*v*v*v*v**(3\/8)) assuming v is positive.\nAnswer: v**(-33875\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h)\/h**(-2\/7))\/(h\/h**(-2)*h)**(4\/7) assuming h is positive.\nAnswer: h**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 20*k**2 + 26*k - 13. Let s(m) = -2*m**3 - 41*m**2 - 52*m + 27. Let i(o) = 5*b(o) + 2*s(o). What is the units digit of i(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*p + p = 40, -3*c = -p - 60. Let o(b) = -b**2 - 14*b + 22. Let w be (-6)\/(0 + 8\/20). What is the remainder when c is divided by o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 + 2*h - 4*h + h**3 - 5 + 0*h**3. Suppose -4 = c + s, 2*s + 14 = 7*c - 10*c. List the prime factors of y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 + 1956*w**4 - 168124*w**3 - 17075940*w**2 - 383953024*w - 2592826368 = 0. What is w?\nAnswer: -33, -16, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21828 = -17*v - 3542*v - 51481 - 37968 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {o: 1, n: 11, e: 4, p: 2, m: 1}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((105\/(-20))\/(572\/32))\/(1\/(-11))?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 33 - 33. Solve g*r = -2*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 p when four letters picked without replacement from gggjjjgjjgpjgg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*y**6 + 806*y**2 wrt y?\nAnswer: -18600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380*i - 57413 + 43613 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 50 = 46. Calculate the remainder when (16\/(-2) + -5)*-1 is divided by 164\/a - 3\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 0 - 20\/(-4). Let d(y) be the second derivative of -y**3\/6 + 3*y**2 - y. Determine d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51408\/2234106*(-28)\/(-48)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7*-1*(-7)\/7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109820317 or -109820318?\nAnswer: -109820317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = -8*m + 28. Let x(f) = 12*f**2 + 6*f - 7. Calculate x(m).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**6\/6 + 27*x**5\/4 - 125*x**4\/12 - 45*x**3\/2 + 65*x**2 + 1148*x. Let w(m) = 0. Calculate m.\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 66 = -3*a, 5*i - a = i - 50. Let f be 4\/(4 + i) - (-5)\/(-2). Calculate the remainder when (8 + 14)\/((-2)\/f) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9957, 79631, 268737, 636987, 1244093, 2149767, 3413721?\nAnswer: 5095667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 2249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -14. Let m be (-15 - -12 - (5 + -16)) + -13. Sort i, -4, m, -4\/5 in ascending order.\nAnswer: m, -4, i, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1242710*z**4 - 1436552.\nAnswer: 4970840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015122668623 rounded to 7 dps?\nAnswer: 0.0001512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15. Let p be (-8 - (-2 + -2)) + 5. Let q(g) = g + 1. Let t(j) = p*q(j) + v(j). What is the remainder when t(6) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -285 - 226 + 511 + y**2. Let m(q) = 2*q**2 + 29. Determine m(t(p)).\nAnswer: 2*p**4 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*h - 137, -2 - 55 = -2*w - 3*h. Let u be (390\/91)\/((-2)\/28). Let m = -57 - u. What is the greatest common divisor of m and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9445e (base 16) in base 12?\nAnswer: 253566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3767*a + 25536 = -4299*a for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**6\/50 - 3*b**5\/20 - 9*b**4\/20 - 7*b**3\/10 - 3*b**2\/5 - 6*b. Factor i(v).\nAnswer: -3*(v + 1)**3*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*(5*x - 1 - 5 - 8*x)*(-x + 2*x**3 + x) + x**5 - 2*x**5 - 2*x**5.\nAnswer: 3*x**5 + 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 376*y - 346*y. Let c be -2 + 2 + 5\/20. Put -1\/5, y, c, -1\/2 in descending order.\nAnswer: c, y, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 16*s - 96. Let y be w(-9). Which is the nearest to -47? (a) 3\/5 (b) y (c) 5 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5781, 20272, 52211, 110322, 203329, 339956, 528927, 778966?\n\"Answer: 1454*u**3 + 4313*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2013307*d**4 - 64*d**3 + 20*d**2 + 8*d + 20132 wrt d.\nAnswer: 48319368*d - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let g = 11 - 2. Let w(c) = -9*c**2 + g*c**2 - 3*c**2. Give w(o(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 29 = -d + 88, -3*s = -d - 75. Let i be (-1)\/(-2*3\/s). Suppose i*n - 8 = 2*h, -2*h - n + 0 + 2 = 0. Solve -t + 2*g + 6 = h, 2*t + 0*g = g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1442687, -2885365, -4328043, -5770721, -7213399?\nAnswer: -8656077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 943.9394 millennia?\nAnswer: 94393.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**6\/120 - o**4\/12 + 2*o**3\/3 - 2. Let a(j) be the third derivative of m(j). What is the derivative of a(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -37 + 3 - (3 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008263 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 52.89244 milligrams?\nAnswer: 0.00005289244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22110372565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i*l*s**3 - 2*i*l*s**2 - 44*i*l*s + 57*i*s**4 + 49*l*s wrt s?\nAnswer: -24*i*l*s - 4*i*l + 684*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + 3.06. Let l = 1.45 + 0.55. Let a = 3 + l. What is the smallest value in j, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 25 - 23 = 0. Let s be 7\/3*(t + 0 + -7). Let n = 14 + s. Solve 5*l - 5 + n = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30609*w*z**4 + 2*w*z - 108483*w with respect to z.\nAnswer: 122436*w*z**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from bieebeieeieeeeei?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 + -436\nAnswer: -440.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 51 = 3*y, -5*r + 5*y + 35 = 0. Let s be r\/30*4\/3. Let u(m) = -m**2 + 2*m + 4. Let p be u(3). Are p and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1958007 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(2\/11))*h*h**(-1\/11)\/h*h\/(h*h\/(h\/h**(-16)))*h**3 assuming h is positive.\nAnswer: h**(210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*39\/364*2*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or -8.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by -605799\nAnswer: 332\/605799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4864 + 4864. Solve 3*g = -4*m + 4, p = -g + 6*g - 3*m + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03206 rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3222 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4009361754 to the nearest integer?\nAnswer: 63320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*w + 4411 - 8840 + 4428 = -4*j, 5*w + 5 = 13*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4190 = -5*j - 825. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k - 5*d = 1038, 3*d = -k - 24 + 13 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 - 144*x**4 + 992*x**3 - 696*x**2 - 988*x + 840 = 0.\nAnswer: -42, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5589134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 + 296*y + 45 - 39*y**2 + 18*y**2.\nAnswer: -2*y**2 + 296*y + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 2. Let p = -61272\/11 + 5570. What is the smallest value in h, 2, p, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001108430336 rounded to six dps?\nAnswer: -0.001108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**3 - 5*q**2 - 12*q + 11. Let d(s) = -11*s**3 + 7*s**2 + 18*s - 17. Let h(p) = 5*d(p) + 8*z(p). Let i be h(6). Solve -1 = -k + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 359514920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (51 - 52)\/((-2)\/36). What is the remainder when 186 is divided by (i\/15)\/((-8)\/(-180))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v**3 + 72*v**2 - 5. Let q(k) = -12*k**3 + 71*k**2 - 4. What is 2*l(p) - 3*q(p)?\nAnswer: 6*p**3 - 69*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4530, -4534, -4540, -4548?\nAnswer: -4558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(0 + 3\/(-12)). Let t = 5 - 5.3. Let u = t + 0.1. What is the closest to 0 in s, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1605101 and -1605067 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 171. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 = 3*z - 289 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590648 by -8.\nAnswer: 73831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 12. Let i(r) = r + 6. Let l(a) = -3*h(a) - 7*i(a). Let k be l(6). Solve -5*j + 1 = k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 - l**4\/4 + l**3\/2 + l**2 + 5*l. Let r = 10 + -14. Let g be q(r). What is the highest common divisor of g and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -18 - 18. Let c(k) = -k**2 + 2*k - 3. Calculate c(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 4 - -3 - (-345882)\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/8 of a kilogram in grams?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3199829 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Suppose -2*o + 3*f + 10 = 0, 3*o - f - 8 = -g*f. Suppose -o*c = n - 37, 2*n = -3*c + n + 55. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w\/w**28))*w**9*w assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722 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: Simplify (o\/((o\/o**(2\/9))\/o))**(1\/9)*(o\/o**(1\/19)*o)\/(o*o\/((o\/o**(-1\/21))\/o)) assuming o is positive.\nAnswer: o**(1409\/10773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 73 = 717. Let y = g - 39. Let w = 1774 + y. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, v: 19}. What is prob of sequence vvbv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 41*q - 3382 = 0, i + 0*q - q + 80 + 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 1 + 8. Suppose 40000 = -c*q + 8*q. What is q rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006346 to four dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67388 divided by 16847.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -183 + -540?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*m + 6 = 0, -a - 14 + 5 = 4*m. Suppose -3*g = -7*g. Suppose -p + 29 - 8 = g. What is the greatest common divisor of p and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**6\/420 + j**5\/210 + j**2 - 1. Let n(t) be the second derivative of u(t). Factor n(q).\nAnswer: 2*q**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1001211222211?\nAnswer: -1001211222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 = -42*b + 38 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*o - 394*o**2 + 9*o + 16*o to the form t*o + s*o**2 + k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 2 - 2)*(-2*j + 2*j - j) + (-12*j**2 + 8*j**2 - 5*j**2)*(-66 + 66 - 20*j) to i*j**2 + p + h*j + d*j**3 and give d.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsn when three letters picked without replacement from nnssnnnnnns.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -52\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022121 + -221?\nAnswer: 20021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-15))\/((-4)\/(-6)). Let c be 6\/(1\/(m\/(-2))). Suppose -c*x + x = -610. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0955776 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p + 9*p - 3*p + 3 - 4. Is b(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 5. Let n be h(-4). What is the second smallest value in n, 5, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 225 = -a, 0*a + 3*a = 4*r + 665. Let l = a + 267. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24483749029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19)\/(-1) + 5 + -2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*r + 3)*(0 + 12 + 8).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 3*d**2 - 44*d - 3. Let p(r) = -7*r**3 - 10*r**2 + 144*r + 9. Determine -10*k(a) - 3*p(a).\nAnswer: a**3 + 8*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2732 divided by -1\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - -85b?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/140*18*(-55)\/(-22)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1844, 7314, 16408, 29126, 45468, 65434, 89024?\n\"Answer: 1812*z**2 + 34*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2638910 and 101802.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 659326858 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**2 - 17\/3*q**4 + 4\/5*q**5 + 7 + 7*q + 8\/3*q**3. Suppose u(m) = 0. Calculate m.\nAnswer: 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c + 3*b - 81 = 0, -2*c = -b - 39. What is the remainder when 35 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 + 10 = 0. Suppose -a - 10 = -n. Is 2 - (4\/2 - n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-84))\/((-240)\/(-56)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**4\/6 - q**3\/3 - q**2\/2 - q. Let f be g(-1). Solve 7*m - f*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6819 is divided by 2272.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 27*b - 17. Let z be u(14). Let l be 3 - (0 - -3) - z. Sort -4, -25, l in increasing order.\nAnswer: -25, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 1 t when three letters picked without replacement from {p: 6, t: 4, d: 1, h: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:06 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 4*d**3)*(-3 + 4 - 28 + 27 + 1419*d) as g*d**2 + y*d + j + v*d**3 + o*d**4 and give o.\nAnswer: 5676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630 + -673 + (1 + 1 - 7) - -11.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69367884 divided by -87\nAnswer: 797332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -1)*(-1 - (-1 + 1)). Let g be y\/8 - (-2)\/24*3. Suppose g = 3*a - 5*a + 344. Calculate the remainder when a is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2861.\nAnswer: -3\/2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 8*d - 1. Let n(u) = -37*u + 252. Let h be n(7). What is c(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = 3*m, m = -u - 11 + 12. Solve -2 = -u*b + 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4685*u - 4713*u - 28 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323400 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/30 - (-4)\/10. Suppose u*m + 0*m = 182. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by 12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = 4*j, 0 = -j + 5*r - 20. Suppose -i + 9 = 4. Solve j*u = i*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-54)*((-12)\/(-10) + -1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) 2.2 (b) 66 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6123*z - 41. Let y(b) = 6119*b - 33. Give 4*u(k) - 5*y(k).\nAnswer: -6103*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 535 = -538 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 + -208. Let j be 1*(0 + (-11)\/6). Let u be 22\/(-99) - (-1)\/((-18)\/(-31)). Which is the second smallest value? (a) u (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:30 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -61*x + 7. Let p(g) = -1. Let m(u) = -p(u) - v(u). Is m(4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167854.6444 to the nearest one thousand.\nAnswer: -168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/5, 0.5, 48.843, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let t be (-5984)\/84*(-6)\/4. Let c = t - 107. Does c = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-13)\/o)*o**7*o\/(o**(1\/24)\/o)*o*o*o**(7\/6) assuming o is positive.\nAnswer: o**(217\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.3, -5\/6, -0.6, 0.165?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10866, 88129, 297836, 706203, 1379446, 2383781?\nAnswer: 3785424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 36 = -28*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-3)\/(-18)*40\/50?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -3*w**5\/10 - w**4\/6 + w**2\/2 - w. List the prime factors of l(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*v**2 + 77*v**2 - 17*v**2)*((2*v - v + v)*(-v + 0 + 0) - v**2 + 1 - 1) + (-v + 0 + 0)*(v**3 + v**3 - 4*v**3).\nAnswer: -76*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = 0, -i + 6*i = 5*y - 110. Solve 5*k + 2*s = -0*k - 21, -k = 5*s + y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(3\/16))**13*(j*j\/(j**(2\/9)\/j))\/(j*j\/((j\/(j*j**(-1\/4)))\/j))*(j**2)**(-20\/3) assuming j is positive.\nAnswer: j**(-841\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -6018257602.\nAnswer: -6018257507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 9*h**2 + 4*h - 3. Determine o(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 7*q**2 + q + 9. Let n be v(-7). Let j(o) = 1 + 4 - 5 + o**n. Let m(w) = w. What is j(m(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 15*g**2 + 320*g + 10. What is u(-12)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.067, 3, 5?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -7, 2\/9, 5, -0.064?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282.944 + 279. Let t = -0.056 + w. Let x = -0.1 + 0.1. Which is the nearest to 1\/16? (a) 1 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3278 and 89\/189230.\nAnswer: 2081530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10203 divided by -3\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 337*l**2 - 3994*l - 413. Calculate a(12).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64.77125 or 2?\nAnswer: -64.77125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1.473\nAnswer: -1.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 15*t - 637. Suppose -t*k = -44*k - 10. Solve 4*v = v + 12, k*m = -3*v + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12329643 divided by 300723?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*y + 34 = 2*f, -2*f - 4 = -4*y. Is ((-1689)\/f)\/((-6)\/4 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-21\/4))**44*n\/((n\/n**(-31))\/n)*n*n**(-3))**(3\/19) assuming n is positive.\nAnswer: n**(-657\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(5))*-6 - -1*sqrt(500))**2.\nAnswer: -96*sqrt(5) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289148488 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 7 (b) 1.3 (c) 1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-121)\/((-1)\/4 + 7\/84)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339611411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111000011010100111011?\nAnswer: 111000011010100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 17*u - 14. What is the least common multiple of 18 and g(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 160 = 279. Suppose 41*i - x*i = 7200. Which is smaller: i or 301?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 - 355. Suppose 0*l - 5*c - 70 = -5*l, -s*c - 15 = -l. Solve -3*k + 5*j + 22 = 0, l = 3*k - 2*j - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaycc. What is prob of picking 1 y and 1 a?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 greater than 3680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - p + 0*p - p + (-18*p + 278 - 278)*(-6 + 4 + 0) - p + 0*p - p in the form o*p + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 16, x: 4}. What is prob of picking 4 x?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 42*j**2 + 90*j - 36. Is r(40) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19116302.\nAnswer: 2, 61, 156691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 532225 + 6?\nAnswer: 532233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 264800 = -46927. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t - 1. Let s be (-22)\/4 + 1\/2. Let m(i) = 1 + 4*i + i - 4*i + 5. Let u be m(s). Calculate h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let w(h) = -79 - 412*h + 98*h - 35 - 161*h. Let v(a) = -17*a - 4. Let l(c) = -114*v(c) + 4*w(c). Calculate n(l(j)).\nAnswer: 1444*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-43)*j*j*j**0*j**(-1\/2)\/j)\/((j*j*j\/j**7*j)\/j**4*(j**(1\/4))**(-16\/7)) assuming j is positive.\nAnswer: j**(1317\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2 = g, -99*g = -96*g + 3*s + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/35 + -2\/35. Let q = -10 + 11. Is f at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/1159 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1495 by 5.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -72. Let l be (-54)\/r*((-42)\/9)\/(-7). What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 5. Let f be 5\/v + (-3153)\/(-210). Let w = f - 74\/5. What is the closest to -0.1 in w, -2, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {y: 4, k: 2, n: 1, x: 1, j: 3, z: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 1\/2 (c) 0.03 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/24*(-6)\/(-60)*-3)\/((-2890)\/80).\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.035? (a) -937 (b) -0.5 (c) -153\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4 + 6*h**2 - 2*h - 12*h**2 + 2 + 2*h**2 - 3*h**3. Let m = 4 + -6. Let z(u) = -7*u**3 - 9*u**2 - 5*u - 4. Determine m*z(o) + 5*b(o).\nAnswer: -o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*a - 88, 0*a + 4*x + 136 = 5*a. Let t = 40 - a. What is the second derivative of 6*j**5 + 3*j**5 + 5*j**5 + t*j - 5*j wrt j?\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3130*a**2 - 192*a - 1. What is the units digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l**5 + 128*l**4 + 614*l**3 - 788*l**2 - 1112*l - 240 = 0 for l.\nAnswer: -3, -2\/3, -2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132199220*r**2 - 171611*r + 21.\nAnswer: -264398440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 17 = -6*v + 3*s, -3*s + 19 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*h + h. Put h, 4, 2 in ascending order.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414759?\nAnswer: 19, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 0*u + 4*u + (-2*u + 2*u - 2*u)*(4 - 3 - 2) + u - 4 + 4 - 5*u + u + 2*u - 2*u + u + 5 - 3.\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2 - 14. Let n(l) = l + 3 + 0*l - d*l. Determine n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -3*i. Let w be 6\/(-10)*15\/(-3). Suppose 4*v - 29 = w*n, 3*v - 3*n = 25 - 4. Solve v*b + 16 = i*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 - 4*o**2 - 3*o**3 + 3*o**2 + 2*o**3 in the form z*o**2 + i*o**3 + y*o + g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2997 take away 180248231?\nAnswer: -180248231.2997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259331215 and -0.4.\nAnswer: -103732486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66753, 267034, 600827, 1068126, 1668925, 2403218, 3270999, 4272262?\nAnswer: 5407001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19161630?\nAnswer: 2, 3, 5, 70969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**4\/12 + 7*j**3\/6 - 7*j**2\/2 + j. Let y be i(-8). Let m be (1 - y - -2) + -2. What is the nearest to 1\/3 in -3\/8, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -63. Solve u - 4*h = 21, -u + b*h + 12 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 27*x - 10. Let g be b(13). Suppose 3*z = -2*h - 5054, 3*z + g*h + 4028 + 1030 = 0. Is 7 a factor of ((-12)\/66 + z\/66)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 9*g**2 + 630*g - 5095. Give r(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/7 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43904)\/(-1176)*3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000427106 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -1\/6, -268304?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017003 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 162 + 327 + 2*q**2 - 165 + q**3.\nAnswer: 7*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 1740\/(-868) + (-5 + 2 - 0). Let f = 10520915 - 4566080367\/434. Let k = f - t. What is the second biggest value in k, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 52. Is 0 - -3 - 3 - a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -26, 57 in decreasing order.\nAnswer: 57, 3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l**3 - 5641*l**2 + 2313*l**3 + 5641*l**2.\nAnswer: 2255*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:47 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 717901\/61 - 11769. Which is the smallest value? (a) m (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 6. Suppose -7 = 2*l + 1. Let n(b) be the first derivative of -b**4\/4 - b**3 + 5*b**2\/2 - 2*b + 278. Let j be n(l). Calculate z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 25. Calculate h(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.6085635 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l**(-1\/2)\/l)\/l)))**49\/((l*l**(-1))\/l*l**(3\/14)) assuming l is positive.\nAnswer: l**(-852\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -175*f + 5. Let s be (20 + -19)\/(1\/(-5)). What is the units digit of j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/207024 and -67\/29602.\nAnswer: 161271696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97177*w**3 + 2 - 97087*w**3 + 26*w**2 + 9*w**2 to j + z*w**3 + l*w + t*w**2 and give t.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*l + 150*l - 133936. Which is bigger: l or -16744?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - (-52)\/12)*2. What is the closest to -0.1 in 0, b, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 314 + 563 - 50*c - 48*c with respect to c.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10234 - 3235. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 10*x - 5. Let v be f(-9). Suppose -v*s = -j + 232, s = -3*j - 2*s + 681. Suppose -o + j = 3*o. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*k - 8*g + 3*g, 10 = -k - 3*g. Suppose 148 = k*c + 18. Let l = 119 - c. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100011 - -1101?\nAnswer: 1001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19 - 16 + 27 + t. Let n be z(-17). Suppose n*o - 81 = -16. Solve 0*s + o = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 + 2*g**2 + 5*g - 12. Let l = -8 - -8. Let s(z) = -6*z + 22 + z - 9 - z**2 + 5*z**3 + l*z**2. Let c(q) = -6*n(q) - 5*s(q). Give c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3372, -3721, -4064, -4401, -4732, -5057?\nAnswer: -5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.88 - 36.4. Let r = 24.44 + 0.56. Let f = n + r. Round f to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*x, 2*h - 20 = -h + 2*x. Suppose -21 = 4*m - 5. Let f = m + h. Are f and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*a + 3 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 14829.\nAnswer: 14829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) 2\/39 (c) 0.04 (d) 0 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21339.\nAnswer: 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -38 (c) 3 (d) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3 - 1. Let v(r) = -r**2 - 5*r - 6. Let s(p) = -p - 1. Let c(f) = 5*s(f) - v(f). Let z be c(w). Solve z*g + 4 = -1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i**2 - 296*i + 76*i**2 + 296*i + 150*i**2.\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*j**3 + 16*j**2 + 2 - 4 in the form t*j**3 + v*j + n + h*j**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -h + 3*h - 34, 3*b = -h + 23. Let z be -4 + (-3)\/6*(-36)\/b. Put -84, z, -5 in increasing order.\nAnswer: -84, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.4 (c) 1\/6 (d) -249 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28326 (base 9) to base 5.\nAnswer: 1103341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 - 10. Let u = 190 - n. Let d = 81 - u. Is d >= -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, 1 k, and 1 e when four letters picked without replacement from ekinb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-31))\/(q*q*q**28*q))\/(q**(5\/2)*q**(-1)*q))**(21\/8) assuming q is positive.\nAnswer: q**(-2667\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 3, -3, 0 in ascending order.\nAnswer: -3, 0, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58154 is divided by 2325?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32091512*v - 1 + 1 + 64183023*v - 32091511*v - 10*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = 4*p + 14*d + 18, 1 = p + 2*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*y**2 + 275*y**2 + 166*y - 140*y**2.\nAnswer: -y**2 + 166*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 35. Which is the smallest value? (a) 0 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*c - 136 - 282, -4*c - 245 = -3*h. Let t be 176\/6 + 1\/(-3). Let p = h - t. Calculate the highest common factor of 36 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -171, 4, -0.4 in increasing order.\nAnswer: -171, -0.4, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 18*c**2 - 14*c + 98. Let o be z(-19). Factor 21\/2*a + 3\/2*a**o - 9\/2 - 15\/2*a**2.\nAnswer: 3*(a - 3)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 8 - 0. Suppose 3*v = 5*x + 123, -2*v - 4*x + 75 = -5*x. Suppose -s + v = b, -3*s + 2*b - 6*b = -113. What is the remainder when s is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, -437?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*g + 39 = 0, 28 = b - 3*g + 9. Let t(m) = m - 6 + 5*m - 3*m - 2*m. What is the remainder when b is divided by t(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rffr when four letters picked without replacement from {r: 7, f: 12}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58782 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -42703?\nAnswer: -42676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 85, 120, 149, 172, 189?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 161030*z - 1296533045.\nAnswer: -5*(z - 16103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2211\/5452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 108*w + 634. List the prime factors of q(10).\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -1\/9, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**2 - 5*k + 111. Let g(r) = -2*r**2 + r - 22. Determine -2*b(o) - 11*g(o).\nAnswer: 2*o**2 - o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 541370 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-18 - -54) - (-3 + (-2 + 5 - 10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -13 (b) -2\/3 (c) 4\/1173 (d) -0.5 (e) 2 (f) -1\/9 (g) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/11, -1\/5, 188, 2713?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*v + 8839, -v = 3*m - 7343 - 1491. What are the prime factors of m?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23613 and 7813125?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*d + 563 = 539, -5*d = 5*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 509\/(-6) + 1 + 42\/(-36). Is g less than or equal to -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m. Let l(p) = p**2 - p. Let b(w) = 4*l(w) + 2*u(w). Let z(k) be the first derivative of -4*k**3\/3 - 722. Determine b(z(a)).\nAnswer: 96*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 - 8*o - 7. Let t be f(-6). Let u be (-84)\/20 + 8\/2. Let y = 1 - -1. Sort y, u, t in decreasing order.\nAnswer: t, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Let t be -2*4\/(-16)*y. Solve 0*o - 5*o + 2*c - 4 = t, o - c + 2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 10:31 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0792 * -136.118\nAnswer: 10.7805456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 5\/(-5)*-1 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -134 and -0.015.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8777, 17057, 25299, 33497, 41645, 49737, 57767, 65729?\n\"Answer: -u**3 - 13*u**2 + 8326*u + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g - 15. Let q(h) = -g*h - h + 3*h. Let k(i) = 21*i**2 - 48*i**2 + 30*i**2. What is k(q(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45540.6ug to tonnes.\nAnswer: 0.0000000455406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*r - 10 = r, -3*h = -5*r + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1863 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 289 + 17 = 0. Let a(g) = 6*g. Let z(k) = 5*k. Let h(l) = -4*a(l) + 5*z(l). Let q(y) = -y**2 - 9*y. Give s*h(r) - 2*q(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -2\/25, -2, 4, -2\/17, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g + 448. Suppose 0 = -2*c - 2*i + 42, -15*i = -4*c - 11*i + 108. What is the highest common divisor of c and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -56. Let o(q) = 21*q + 5 + 8*q**2 - 9*q + 6*q - s. Let p(a) = 3*a**2 + 6*a - 6. Let j(v) = -6*o(v) + 17*p(v). Factor j(g).\nAnswer: 3*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 6. Let z be 4\/a - (-5)\/((-125)\/(-3465)). Suppose 3*b - 2*b - x = z, 3*b = -3*x + 447. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5))\/(((((p\/(p**(-5)*p)*p*p)\/p)\/p)\/p)\/p))**46 assuming p is positive.\nAnswer: p**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36284785 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 n when three letters picked without replacement from wnjjvgv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 902 = 192. Calculate the common denominator of 3 - w*2\/16 and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52397, -52400, -52413, -52442, -52493, -52572, -52685, -52838?\nAnswer: -53037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + f + 22, 0 = 4*o + 3*f + 1061091 - 1061049 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and -232440123.\nAnswer: -232440123.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 136\/36 + (-4)\/(-18). Let x be -1 - (-1 - 323\/z). Let g = x + -181\/4. Find the common denominator of -2\/9 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010384536 to 4 decimal places.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*j + 10717 + 3257 = 0, -3*j = -6. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 14*w = -2*s + 8, 2 = s - w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -9, 0.547, 1, -6\/17, -273?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37348582 a multiple of 2326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m - 1. Suppose v + 5*g - 12 = 0, -7*g - 15 = -12*g. Let r(j) = -12*j - 1. Determine v*t(y) + 2*r(y).\nAnswer: 15*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/232, -4, -0.51, 4?\nAnswer: -17\/232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 19*g - 1. Let h = 21 - 15. Let n(q) = -q**2 + 18*q. Let a(u) = h*v(u) + 7*n(u). Let c be a(11). Solve d + f = 5, 0 = c*f - 1 - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*(-37 - -37). Suppose 0*o - 11*o + 330 = b. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29957 - 29953. Which is the fifth smallest value? (a) -21 (b) -4\/3 (c) -4 (d) z (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 14. Let p be a(-6). Let f(n) = 8*n + 3. Let u be f(p). Solve 5*y + u = 2*w, 0 = 3*w - w - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 - 25*g**2 - 3*g - 104. Let s(l) = 3*l**3 - 8*l**2 - l - 35. Let j(x) = -11*s(x) + 4*z(x). Is j(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 2*t**3 - 2*t + 4*t**3)*(-3*t**2 - 8*t + 8*t) + (2*t + t - 2*t)*(-2*t**4 + 2*t**4 + t**4).\nAnswer: -8*t**5 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) -2 (b) 1 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((231\/(-22))\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001186419 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-211045)\/(-35) + 8\/56.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-3))\/1)\/((-2)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r - 0. Suppose r*c = -c. Suppose 3*b - 15 = c, 0 = 4*p + b - 157 - 148. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-651)\/(-12) + (-2)\/8. Suppose -5*m = -3*m - q. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2552 is divided by 1272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*h - 2*h - 2 + 4*h)*(-12*h - 4 + 4) as t*h + a*h**2 + m and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 10 + 3 - -2) + (22 - 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -3 (c) 38350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5165027?\nAnswer: 7, 737861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 5) in base 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282 - -311. Suppose 138 = 5*c + 2*f, f - 107 = -4*c - 4*f. What is the remainder when y is divided by 2\/(-7) + 428\/c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.03 - -6. Let o = k - 0.07. Which is the third smallest value? (a) 3\/2 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -518278, -518722, -519162, -519598, -520030?\n\"Answer: 2*m**2 - 450*m - 517830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 1 + 6 - 4)*(8 - 6*q**2 - 8) - 43*q - 114 + 114 + 2*q**3.\nAnswer: 32*q**3 - 6*q**2 - 43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6202 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 33 = -12*p - 2*h, -p - 23 = 5*h. Let z be (812\/(-6))\/((-6)\/9). Calculate the greatest common divisor of p and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 1 + 2 + d. Does 6 divide x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3\/5 (c) 0.2 (d) 10\/33 (e) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689821000 rounded to the nearest 1000000?\nAnswer: 690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/12 - 5\/(-6))\/(-1). What is the biggest value in 5, -2\/7, v, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times 0.47?\nAnswer: -21.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12917 + -4a?\nAnswer: 128ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 42 = -2*o. Suppose 23*r - 10 = o*r. Suppose -r*z = -55520 - 203980. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9894888kg?\nAnswer: 989488.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25985*o + 35*o**2 + 25985*o + 41*o**2 + 60*o**2.\nAnswer: 136*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l + 19*l - 25*l**2.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/45)\/((-162)\/45). Put x, -0.26, -3 in ascending order.\nAnswer: -3, -0.26, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 7330, -5, -4 in decreasing order.\nAnswer: 7330, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 g when three letters picked without replacement from {d: 3, z: 4, a: 2, u: 6, g: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1))\/i)**(2\/111)*(i*i**0)**39)\/((i**(-1\/2))**(-3)*i**(2\/3)*i*(i*(i\/i**7)\/i*i)\/i*i) assuming i is positive.\nAnswer: i**(3023\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -12) + 2 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*t - 4*t**2 + 13*t - 38*t wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -416, -415, -414, -413, -412?\n\"Answer: p - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from nibeifffiifkf?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 277256 (b) 5 (c) -0.3 (d) 4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1342*o + 2991. What is the tens digit of t(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 8. Let p be r(-4). Suppose p = -n + 5*c + 14, 5*n + 6 = 9*n + 5*c. Suppose 6*q - 2*q - 8 = 0. Sort q, n, 6 in decreasing order.\nAnswer: 6, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1029*m**5 - 71589*m**4 - 672084*m**3 + 1066704*m**2 - 438240*m + 54288 = 0. What is m?\nAnswer: -58, -13, 2\/7, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -6755725.\nAnswer: -6755725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*g + 3*g. Suppose 6*u = -4*i + g*u + 21, -5*i + 24 = 3*u. Suppose r + 22 = -0*r - 5*p, -r - i*p = 12. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b + 85*b - 41*b - 20*b**3 - 11*b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 24 = 6*i. Let p(a) be the first derivative of 1\/8*a**4 + 1\/4*a + 5\/12*a**i - 2 + 1\/2*a**2. Factor p(v).\nAnswer: (v + 1)**2*(2*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.8, 21.7 in descending order.\nAnswer: 21.7, 0, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/48 - 23*d**3\/12 - 45*d**2\/8 + 3000*d. Factor z(f).\nAnswer: -(f + 1)*(f + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -102216886.\nAnswer: -204433772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.891 + 8816.109. Is -0.1 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(243)*-1 + sqrt(243) + 5 - (sqrt(243) - 2*(0 + sqrt(243)) - (sqrt(243)*2*5 - sqrt(243))))**2.\nAnswer: 1080*sqrt(3) + 24338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*a - 118*a - 3*a**2 + 234*a = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 93\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -2 + 3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 545, 837, 1129, 1421?\nAnswer: 1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*y + 1196, 0*d - 3*d = -6. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45425170 (base 8) to base 11.\nAnswer: 5611991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/1 + 2 + -3. Suppose 2*c = -x*q + 26, -3*q - 20 = -3*c + 2*q. Calculate the greatest common factor of 110 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 8.6\nAnswer: -189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -4\/3, 30\/97?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 5*b - 5*z - 140, 9*z = 5*b - 255 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(2 - 2*z - 2)*(-2*z**2 - 3*z**2 + 3*z**2)*(-3 + 1 - 3).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448) + -4*(sqrt(448) + sqrt(448)*-2))\/((sqrt(144)*2 + sqrt(144))*-6).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 39*h**2 - 127*h + 35. What is c(42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 192754246 + 731679432 = 4361113678. Round x to the nearest one million.\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1028956.\nAnswer: -5\/1028956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + 0)*-4)**2 + (6*(sqrt(110)*2 - sqrt(110)))\/sqrt(10).\nAnswer: 6*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/135702)*(-1)\/(-1). Let h = -27368 - u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-282*i**4 - 252*i**4 + 78*i**4)*(-4 + 2 + 0)*(-1 + 4 - 1) as k*i**3 + x + l*i + w*i**4 + c*i**2 and give w.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/315 and 74\/675045.\nAnswer: 675045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*n**4 + 153*n**4 - 66*n**4 + (-n**2 - 2*n**4 + n**2)*(-5 + 3 + 0) + 5*n**4 + 1 + n**4 - 5*n**4 + n**2 - 2*n**4 - n**2.\nAnswer: 60*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -200*i**5 + 11560*i**4 - 12579*i**3\/2 - 466*i**2 + 458*i = 0. What is i?\nAnswer: -1\/4, 0, 2\/5, 229\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/455*(-455)\/21*(-10)\/(-125)*35.\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 21846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 544 - 537. Let g = 10 - i. What is the smallest value in g, -4, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 3:39 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8840 by -40.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/203 + -5477\/406. What is the fourth biggest value in 2, 5, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 - -57556?\nAnswer: 57476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 80 = 160. Let o = -28 + h. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 10*t - 10. Let m(x) = -x**2 + x - 1. Let z(c) = 10*m(c) - r(c). Let s(h) = 0*h - 2*h + 0*h. Determine s(z(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) 2 (c) 14 (d) -2\/11 (e) 0.01 (f) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2696069?\nAnswer: 2696069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 divided by -258809?\nAnswer: 329\/258809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4928 is divided by 291.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j - 3*j + 2*j. Let u(g) be the second derivative of g**5\/30 - 5*g**3\/3 - 7*g. Let a(m) be the second derivative of u(m). Calculate a(f(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -6. Let m be (-1 + 1 + 2)*(-24)\/n. Solve 3*h - 5 = -14, -2*z + h = m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 362 = -4*i + 415, 5*i = p + 52 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2987)\/(-87) + -35)\/((-6)\/(-27)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 90788148 divided by 2\nAnswer: 45394074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**3 + 25*s**2 + 63*s + 38. Calculate l(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q = -32*q - 27*q - 44352. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -4048?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 35014\/(-1830) + 4\/30\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -11 + 0 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/5)*i\/(i\/i**(-2\/17)))\/(i*i**(-1)\/i)**(27\/5) assuming i is positive.\nAnswer: i**(100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 2 + 4 + 5*w**2. Let z(x) = -2*x**3 - x**2 + 1. Let q be z(1). Is v(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 35*o. Suppose -2*j + 6*a + 4 = a, -j - 5*a + 2 = 0. Suppose -m + 4*t + 13 = 0, 2*t + j*t = -4. Calculate the remainder when k(1) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/7 (b) -245 (c) -6 (d) -4 (e) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (2 + sqrt(448) - sqrt(448))) + (sqrt(70) + 3*sqrt(70))\/sqrt(10))**2*-6.\nAnswer: -6072 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 16 = -214. Suppose 8400 = -w*j + 46*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3285415 and 11340?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 190 and 25.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58423890191 + 58423890191 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 330*s - 107. What is the units digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 11:32 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19776, 19757, 19738, 19719?\nAnswer: 19700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(-6*(sqrt(30)\/sqrt(3) + sqrt(10)))*-6.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*j*s - 42711311*d*s - 1471*j*s - j - 4634*s with respect to d.\nAnswer: 2*j*s - 42711311*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12574*d + 6*d**3 + 5 + 12574*d + (2*d - 5 + 5)*(4*d**2 - 3*d**2 - 2*d**2).\nAnswer: 4*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22*a + 6859211 = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 40049185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and -0.70789?\nAnswer: 0.00495523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/33 = -13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 618392657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1153 + -1215. Is y greater than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000129554 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.462 (c) -0.2 (d) 4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62217452451376 take away 0.13?\nAnswer: 62217452451375.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -9\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96005 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16497 - 16496.99979917. Round u to six dps.\nAnswer: 0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 0*v + v - 2*v. Let o(u) = u. Determine y(o(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nejx when four letters picked without replacement from {d: 1, n: 1, j: 1, x: 1, e: 1, t: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 18*b - 47. List the prime factors of r(-11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 59*r + 2002 = 123*r. Solve -7*l - r = -7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.098087, 0.4, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.95. Let o = -0.74 - -2.69. Let z = p - o. Which is the third smallest value? (a) 3\/4 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = -5*t + 39 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 36*p - 34. Let x(g) = -2*g - 46. Let d be x(-8). Is o(d) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*s - 59, 5*s - 5*i + 4 = -91. Let r = s + 41. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78645 divided by 3\nAnswer: -26215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 + c**2 - c + 3. Let w(r) = -8*r**3 + r**2 - 2*r + 5. Let g(x) = -3*w(x) + 5*y(x). Let q be (-2)\/(0 - (-2)\/1). Determine g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101865.\nAnswer: 3, 5, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/9 + 46*p**3\/9 + 584*p**2\/3 - 736*p\/9 - 27520\/9 = 0?\nAnswer: -20, -4, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 63?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -71.5. Put 2\/19, 0.1, b, -2 in decreasing order.\nAnswer: 2\/19, 0.1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/6 of a hour in seconds?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34972 - 1259093\/36. What is the common denominator of -1 + -1 + 179\/24 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(2299) + sqrt(304)*6)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let n(d) = 3*d. Let x(y) = -2*g(y) + n(y). Let r(w) = -w - 1. Let p(v) = v - 3. Let u(i) = -p(i) + 3*r(i). Determine u(x(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4962565 (base 10) to base 15\nAnswer: -6805ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/10 - 110*c**4\/3 + 221*c**3\/3 - 21*c - 50. Factor z(m).\nAnswer: -2*m*(m - 1)*(m + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**2 + 197*r - 1560. Determine c(8).\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - -1 - 0\/2. Let l = -2 + v. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68.106*-114\nAnswer: -7764.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 75*g + 100. Calculate z(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*b - 2\/3*b**2 - 2\/3*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, 22, 8, -8?\n\"Answer: -g**2 - 9*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93468.\nAnswer: 2, 3, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 62 = -5*u + 2*m, -4*m + 20 = 2*u. Let n be (-118)\/(-4) + 4\/8. Let a = -16 + n. What is the smallest common multiple of u and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (1 + (-3 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5756 - 5\nAnswer: -5761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35620531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1943, 3985, 6051, 8141, 10255?\nAnswer: 12393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1123 - -2?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 11*b - 7. What is k(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 5*o - 5. Let b(k) = -k - 4 - k**2 + k - 4*k + 0*k**2. Calculate -5*b(f) + 4*s(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d. Let c(y) = -9*y**2. Calculate c(r(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/5)\/(18\/120). Let u(b) = -b**3 - 8*b**2 - b + 3. Let c be u(i). Suppose 5*s - 69 = c. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261 (base 11) to base 4.\nAnswer: -10311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/(10\/96))\/((-16)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*u = 75, -5*c - 7 - 70 = -4*u. Let r(z) = 2*z + 36. Let s be r(c). Solve s = -v - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -12 (c) -3\/1108583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = 3*x + 12*s + 9, -3*s + 15 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 20 = 0, 3*t - 125 + 560 = 2*z. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 - 109*k + 254*k)*(-6*k**3 + 4*k**3 + 0*k**3).\nAnswer: -290*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24022312 (base 5) to base 14\nAnswer: 5a420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 9 (c) -0.3 (d) 26 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -337, -2769, -9363, -22201, -43365, -74937, -118999, -177633?\n\"Answer: -347*w**3 + w**2 - 6*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 - 108. What is the second derivative of -5 + 14*h**2 - 6*h + 41*h**2 - d*h**2 wrt h?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8536583, -8536586, -8536589, -8536592?\n\"Answer: -3*t - 8536580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 658 + 658.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**3 + 7*k**3 + 9*k**3 + 10*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -15. Let k be 1*(-3 + g + 4). Solve -3 = -v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 34*k**2 + 37*k - 13. Let i be a(18). Let z(w) = w**3 - 3*w**2 - 10*w - 4. Give z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*k)*(2 - 34 + 17 - 3 + 2 + 0 + (-4 + 0 + 3)*(-1 + 1 + 2))*(-2*k + 6*k - k).\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*x**3\/2 - 72793*x**2 + 124815*x\/2 - 13374.\nAnswer: -(x + 2972)*(7*x - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 524431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-24)*b**0\/b assuming b is positive.\nAnswer: b**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16779, 33555, 50331, 67107?\nAnswer: 83883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (6*-1 - (-9 + -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*z - 86395 + 91795 = 0 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 12:41 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 612\/24 + 1\/(-2). Suppose -20 = 5*d + 4*c, -d + 2*d = 5*c + s. Let g(l) be the third derivative of l**6\/120 - l**5\/60 + l**3\/2 + l**2. Determine g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 1*(-15)\/5. Let c(w) = g*w - w + 1 - 3. Let h(j) = 5*j - 1. Let z be -10 - (0 + 1 - -1 - -1). What is z*h(b) + 6*c(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3410030 (base 5) in base 11?\nAnswer: -410aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 172, 38, -262, -818, -1720, -3058, -4922?\n\"Answer: -15*v**3 + 7*v**2 - 50*v + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.001 - 0.099. Let d = 10 + -1. Is d > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 33*u + 306.\nAnswer: -3*(u - 6)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12511 rounded to the nearest 100?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - 84\/(-18). Suppose 0 = 6*h - 2*h - 12, 0 = -a*b + 2*h - 31. Let l(o) = 6*o**2 - 13*o - 3. Let t(g) = 4*g**2 - 9*g - 2. Give b*l(r) + 7*t(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 3*n**3\/2 + 163685*n. Let y(v) = 5*v. Let q(g) = 24*g. Let h be 28\/(-6)*(1 - -2). Let t(k) = h*y(k) + 3*q(k). Give t(a(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 60*y**2 - 47*y - 627. Is i(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mns when three letters picked without replacement from nnnms.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) + 44\/12. What is the remainder when ((-4)\/(-10))\/(1\/5) is divided by (-3)\/(6\/4) + o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7.1 (b) 239 (c) 5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -166379*p + 998221. Calculate g(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 5\/(25\/15). Suppose 2*s - 2*b = 48, s - 3*b - 97 = -n*s. Solve 5*r + 0*r - s = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 265\/55 - (24\/3 - 5). Suppose -16\/11 - 2\/11*b**2 - f*b + 2\/11*b**3 = 0. Calculate b.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27027\/(-132))\/(-2*(-2)\/16). Let p be (-70227)\/(-90) + (-4)\/(-20). Let h = p + l. Calculate the common denominator of h and -15\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d0a7 (base 16) in base 11?\nAnswer: -3714a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1404 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.08, -5, 324\/19?\nAnswer: 324\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 s when three letters picked without replacement from ssjjn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 25235?\nAnswer: 100940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*((-16)\/3)\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1388496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 + 18*s - 1. Give i(9).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65446 = -2071*h + 118873 for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 31. Give h(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 3, -5, -1027.\nAnswer: -1027, -43, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3385 + -2866. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*f - 26*f + 24 + 18*f + (1 + 2 - 1)*(2*f + 5 - 5) + f - 4*f + 2*f.\nAnswer: 7*f + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + l + 153409, 0 = -2*l - 9 - 1. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t\/(t\/t**3))**(-13)\/(((t\/(t*t**(-3\/5)))\/t*t*t**(-1)\/t)\/(t\/t**(1\/3)*t)**(-6)) assuming t is positive.\nAnswer: t**(-887\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let l(o) = -249*o - 352*o - 267*o + 73*o. What is l(f(p))?\nAnswer: -795*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 3*u**5\/20 - u**4\/6 - u**3\/3 - u**2\/2 + u. Let i(v) = v**2 - 10*v + 13*v - 2*v - v**3. What is -a(l) - 2*i(l)?\nAnswer: -l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41143 + -22643. Suppose -6*j + h = -j. What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27040908 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88226 is divided by 112?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52248268?\nAnswer: 2, 31, 41, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, 0.002916?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 34*g**2 + 129*g + 1127. Calculate f(-31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 27*h**2 - 167*h + 247. Calculate y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6cdac + 3?\nAnswer: 6cdb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (1 - -319)*(-7)\/(-42)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*y - 7 = 11, -6 = -2*y. Let d(b) = 2*b**2 - b - 2. What is the remainder when (-405)\/(-11) - (-2)\/11 is divided by d(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4084386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1085, -2167, -3237, -4289, -5317, -6315, -7277, -8197?\n\"Answer: k**3 - 1089*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30788737*u**3 - 441949*u**2 + 30?\nAnswer: -184732422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/89? (a) -1 (b) 1.2483 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4062 + 7558. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*s**3 - 121*c*s**2 + 109*c*s + 95*s**2 + 90 wrt s.\nAnswer: -12*c*s - 242*c + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 580*i**2 - 5*i + 12265 wrt i.\nAnswer: 1160*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89652.3 micrometers to nanometers.\nAnswer: 89652300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by 2048.\nAnswer: -47\/2048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -6*(sqrt(11) + 0) + (sqrt(891) - (sqrt(891) + 0)) + -5))**2.\nAnswer: 3000*sqrt(11) + 12400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.372229 to one decimal place.\nAnswer: 63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 76. What is the least common multiple of z and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/15 + 22*n**4 - 536*n**3\/3 - 98*n**2 + 2. Factor j(w).\nAnswer: 4*(w - 2)*(w + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -250374 or 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(-288)\/(-80)*(-1995)\/133.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -729, -1512, -2295, -3078?\n\"Answer: -783*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.47 - -0.53. Let h = b + -27.11. Put h, 1\/7, 2\/3 in descending order.\nAnswer: 2\/3, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7 + 8 - 2 - 2*j. Let y(i) = i**2 + 8*i + 5. Give 9*c(v) + 2*y(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/720 + f**5\/90 + f**4\/144 - f**3\/9 - 16*f**2 - 1. Let t(d) = 0. Calculate d.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -150758 - -2?\nAnswer: -150756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 388322 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-200)\/1)\/((-3)\/(-1128000)*-1). Round t to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p - 6841665 = 13240106. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + 0.2. Let m = 1.1754 + 0.3246. Let y = m + p. What is the second biggest value in 1\/3, -1\/2, y, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(15\/(-90))*-6. Solve -12*i = -3*i + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*t - 5 = 0, -4*n + 2*n + 5*t + 12 = 0. Which is the third biggest value? (a) 1\/3 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srs when three letters picked without replacement from ksskskkrrskssskk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/3 - 4 - (-1 - 14). Let y = 4 + w. 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: Sort -1\/4, 1\/103, -2\/7, 1037 in descending order.\nAnswer: 1037, 1\/103, -1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 598 divided by 3660\nAnswer: 299\/1830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucwb when four letters picked without replacement from {b: 1, s: 1, u: 1, w: 1, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/12 - s**3 + 2*s**2 + 11*s. Give y(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 15. Let l(c) = -c + 19. Let k be l(14). Suppose 4*t + 26 + 6 = -4*w, k*t + w + 28 = 0. Calculate r(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 7*g - 60. What is the thousands digit of (-57 - -2)\/(g\/(-323))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2183*i = 2267*i + 2856 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - i**4 - 2 + 41*i**3 + 0*i**4 - 6*i**4 - 56*i**3 + 2*i**2 as s*i + f*i**4 + z*i**2 + x + a*i**3 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*k**5 + 39 - 39 - 8*k**2 + k**2 wrt k?\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2193389 - 462610.9\nAnswer: 1730778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -322 - -4?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5296.028171 - -5296. Let n = -0.1764 - -0.1484. Let f = n - w. Round f to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, q: 4}. What is prob of sequence qq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(175)*-4 + -5*(sqrt(175)*-1 + 1)**2.\nAnswer: -880 + 250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 30114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) 10 (c) 0.857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmllmmmllmmmmlfffm. What is prob of picking 2 f?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let o be 10 + (3 - 2)*3. Let a(n) = -7*n**2 - 11*n**2 + o*n**2. Give f(a(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose 3*f - 2*h = q, -4*f + 6*f = -5*h + 19. Let p(s) = -s**3 + 6*s**2 - 5*s + 1. Calculate the remainder when f is divided by p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(-3 - 3 + 4)*(5 - 3 - 1)*(1683 - 1683 - 44*q) in the form a*q + g and give a.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*c - 6 = 0, 3*z + 5 = -c - 0. Suppose 0*p + p + 5 = 0. Let t be 1 + 108\/(-51) - -1. What is the nearest to z in 1, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148084140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 24 = 4*w + 3*v, 3*v = -4*w + 28. Let k = 18 - w. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4197374 and 1.6.\nAnswer: 6715798.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 63*y**2 + 211*y - 22188. What is w(65)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwcwcc. Give prob of sequence cw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 81*a**7\/7 + a**4 - 3*a**3 - a**2 + 405. What is the third derivative of z(w) wrt w?\nAnswer: 9720*w**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, s: 2, i: 2, c: 2, r: 1}. What is prob of sequence siic?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137254137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*m - 162*m - 60 = 0. Suppose -5 - m = -3*u. Solve 2*p - 44 = -5*k - 11, -29 = -p - u*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*l - 2241838 = 231506. Is l a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b + 47. Let j be u(3). Let a(p) = 16*p**2 + 5*p + 28. Does 11 divide a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(384) - -1*sqrt(384)) + sqrt(384) - sqrt(384)))\/(2*sqrt(800) + sqrt(48)\/sqrt(96)).\nAnswer: 160*sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/777 and 179\/303030?\nAnswer: 303030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 + -1 + 325\/650.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 15*a**5 - 115*a**4 + 65*a**3 + 35*a**2 = 0.\nAnswer: -1\/3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (56\/32)\/(18\/8). Let v = g + -19\/36. Sort 5\/3, -0.8, v.\nAnswer: -0.8, v, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 14 = 3*j, 5*j + s = 38 - 32. Solve j*n - 4*w = 16, 4*n - 7*w = -3*w + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-1 + -4 + -3 - -6*(0 + 1 + sqrt(147)))**2.\nAnswer: -70*sqrt(3) + 3676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12665839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.001357448 + 0.5.\nAnswer: 0.501357448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(-1\/44)*(c\/c**10)\/(c*(c**(-6)\/c)\/c) assuming c is positive.\nAnswer: c**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -59090 divided by -2\nAnswer: 29545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 6:35 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:03 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 539854 and 2?\nAnswer: 539854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -2.6?\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*w**3 - 402*w**3 + 142*w**3 + 132*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407 - 241 - 218)*(-d - d + 3*d) + (2*d - 3*d + 3*d)*(2 + 0 - 1) - 3*d - 2*d + 6*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from rlllllrlrlllll.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211230 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 695334 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -667617 and -0.12?\nAnswer: 80114.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n**2 + n + 1 - 1 + 11*n**2 + 1. Let b = 23 + -13. Suppose -s = f + 6, -s - b = -0*f + 5*f. What is o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/i**(-7))\/(i**(-4\/7)*i*i*i*(i*i**(-7)\/i)\/i) assuming i is positive.\nAnswer: i**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48467, -48444, -48407, -48356, -48291, -48212?\n\"Answer: 7*z**2 + 2*z - 48476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29010088 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8214*b - 1240333. Calculate r(151).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - b)*(3*b - 5*b + b) - 3 + 7 + 2*b**2 + 3.\nAnswer: 3*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 - 1) - (-26 + 29)) + -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.33 take away 35.62?\nAnswer: -25.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uruuvrsus. Give prob of sequence rsu.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 1025 = 5465. Suppose 381 = 3*k + j, -3*j = 5*k - 6*j - l. Does 51 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k + 6. Let f(x) = -6*x - 6. Let a(p) = 4*f(p) + 5*o(p). Give a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-2)*-4*19\/57?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)\/(g\/g**(-5))*(g*g*g*g**5\/g*g)\/(g*g**(-5\/4)) assuming g is positive.\nAnswer: g**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 16*g - 17*g - 19, 0 = 2*m - 2*g - 14. Put -3, -7, m, -2 in ascending order.\nAnswer: -7, -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 71638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.8 less than -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99 or -492\/5?\nAnswer: -492\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 6*c + 75. Is i(-22) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 6*h + 5. Let b be l(6). Let o be 88\/14 + (-10)\/35. Is o != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42718006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3110000 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6662*s**2*z**3 + 15*s**2 - 110*s*z - z**2 - 105082 with respect to z.\nAnswer: -19986*s**2*z**2 - 110*s - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + f - 8 - 33, 0 = -3*f - 3. Suppose 5*p + 2*n = 6*p - b, 0 = p - n - 10. Let l = p + -2. Solve 2*j - l = 4*o + 2, 3*j - 5*o - 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 8*m + 9. Let g be o(7). Let q = 75 + -72. Let n(j) = -3*j + 12. Let y be n(q). Solve a = y*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11333 + -322?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*c**2 - 21*c**2 + 15*c**2)*(-7*c + 26*c - 11*c) + 0 + 0 + 4*c**3 to v*c + n + p*c**2 + x*c**3 and give x.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let q = 600 + -595. Let i(y) = -q*y - y - y + 15*y - 4*y. Determine i(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Let m = 0.45 - -0.05. Which is the closest to 0.1? (a) m (b) z (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6797*q + 12414*q - 7152*q)*(1 + 4 - 4)*(-2 + 2 + 2*q) to p*q**2 + o + w*q and give p.\nAnswer: -3070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 10*x**2 - 21*x - 10. Give w(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 30475794*l**2 + 60951591*l + 30475796.\nAnswer: -(l - 30475796)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -0.51, -4, 5 in decreasing order.\nAnswer: 5, 2, -0.51, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 32*i**2 + 2. Let o(q) be the second derivative of -q**4\/4 + 10*q. Determine o(y(t)).\nAnswer: -3072*t**4 - 384*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*v + 873 = h, 4*v + 276 = 2*h. Calculate the highest common divisor of 612 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -136\/7, -3, -2 in increasing order.\nAnswer: -136\/7, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661490 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - x = 24030, m - 5*x - 2552 - 3465 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 1 - t + 2 - t**3 - 2. Calculate d(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 equal to 4427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 3*r = 0. Suppose f - 75 + 32 = r. What is the remainder when f is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135590 rounded to the nearest 1000?\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9194 by 2.\nAnswer: 4597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -481648527029\/184384638 + 1\/40974364. Let h = -2612 - l. What is the common denominator of 111\/40 and h?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 4. Let d(v) = 3*v - 11. Let q(p) = -11*b(p) + 4*d(p). Let k(j) = -2*j**2. Calculate k(q(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2\/4 - 2853759*z\/4 + 1426881\/2 = 0.\nAnswer: -951254, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33719317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -24941. Suppose -3*h + 103215 = -5*f, -h + 2*f + w + 9465 = 0. Round h to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 242973.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433400 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 13, -2.\nAnswer: -16, -2, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.177 and 1.06.\nAnswer: 1.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1054 = 29*w. Let f = w - -33. Solve f = m + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -87. Factor 8*b**q - 36*b**4 + 21*b + 7*b + 23*b**2 + 12 + 37*b**4.\nAnswer: (b + 1)*(b + 2)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 5*g**2 + 6*g - 1. Suppose 33 = 4*f + 21. Let z be i(f). What is the greatest common factor of 234 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence era when three letters picked without replacement from {e: 3, q: 6, r: 2, y: 2, a: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 - 9*j**2 - 9*j + 13. Let q = 7 + -5. Let u(x) = x**3 + 2*x**2 + 2*x - 3. Let f = 209 + -200. Determine f*u(b) + q*m(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + a + a)*(0 + 5 - 3) - 110*a - 22 + 22 to the form y*a + v and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, -1.114, -0.01 in decreasing order.\nAnswer: -0.01, -1.114, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10092 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2927 + 2928.3. Which is the fourth biggest value? (a) 0.1 (b) -1\/3 (c) q (d) 0.3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2.3.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 880.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 9*w - 584. What are the prime factors of w?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -208?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from giqvlqnnnlll?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2268*d**2 - 4526*d**2 + 2244*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*p - 20, -66*p = -h - 63*p - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 2189181561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 145503?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -1\/5*q**2 + 1\/10*q**4 + 0*q**3 - 2 + 0*q. Find i such that y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24 - 200\/(-220)*-22. Sort 135, -2, l, -5, -1 in increasing order.\nAnswer: -5, -2, -1, l, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 317, 327, 353, 401, 477?\n\"Answer: y**3 + 2*y**2 - 3*y + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waaw when four letters picked without replacement from {a: 2, w: 5, t: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkcklgliyclg. Give prob of picking 1 i and 3 g.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 425396 to the nearest 1000.\nAnswer: 425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.7. Let y = -0.2 + t. Sort -1, y, 3.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -19. Solve v = -4*u + 4*h, 2*u - 2 = h + 2*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39200 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) -2\/5 (c) 0.1 (d) -1 (e) 631 (f) -1\/3 (g) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 v, and 1 s when four letters picked without replacement from vyeeyyvesv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/21975)\/((-15)\/9). Let w = n + -4391\/2930. What is the nearest to -0.1 in -2\/9, 0.4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**7\/14 + 32*o**6 - 1449*o**5\/10 + 242*o**4 - 323*o**3\/2 - 33*o - 26. Solve s(z) = 0 for z.\nAnswer: -323, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + 3 + 2 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*m = 15*m - 1925. Let c(u) = -u**3 + 6*u**2 - 3*u. Let v be c(5). What is the greatest common divisor of m and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 15, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5665\/3 + 1890. Let x(g) be the third derivative of b*g**3 + 0*g - 11*g**2 + 1\/30*g**5 + 0 + 0*g**4. Differentiate x(j) with respect to j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1568, 3129, 4690, 6251, 7812, 9373?\n\"Answer: 1561*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 78*b - 11. Suppose -5*o - 35 = 15. Let h(z) = z + 16. Let t be h(o). Is w(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s - 55. What is the units digit of v(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005563879 rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322643201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(21)*-2)\/(-1*sqrt(7)*-2).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*i + 33, -70*i - w = -67*i - 13. Solve p - i = -11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/3 + 2 + 35. Let x = 3 + k. Suppose -2*y + 6 = -3*h, 5*y + h = -2*h + x. Solve 5 = -o + d, -3*o - 2*d - 16 = -y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/90 - 7*t**4\/9 + 29*t**3\/9 + 1579*t**2. Find u such that v(u) = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 2*w**3 + 12*w**3 - 3*w**3 - 74.\nAnswer: -w**3 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 2, -0.15, -4 in ascending order.\nAnswer: -73, -4, -0.15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*g - 2 = 0, 4*d = 2*g - 6*g + 8. Suppose d*q = -22 + 76. Solve -5*f - q + 42 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -176*x - 323. Give w(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24997724.292 take away 5?\nAnswer: -24997729.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 12*z + 75*z = z + 6552 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 32. Let w be o(8). Suppose k - 32 = c, -k - 2*c + w = 3*c. What is the lowest common multiple of 44 and k?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*r**3*x**6 - 1852*r**3 - 115*r**2*x**4 + 2*r*x**2 wrt x?\nAnswer: 1680*r**3*x**3 - 2760*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.5 + -158. Let p = -2 - -1.2. Which is the third biggest value? (a) p (b) z (c) 3\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 4870*o + 159800.\nAnswer: 5*(o - 940)*(o - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -156, -553, -1328, -2607, -4516, -7181?\n\"Answer: -21*m**3 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 11:55 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:22 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Suppose g*h - 14 = -l, h - l - 34 = -3*h. Put h, 0, 0.5 in descending order.\nAnswer: h, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32257583615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - aa62888?\nAnswer: -aa62888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(21*(-2)\/(-27))*(-108)\/(-81).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s + 41. Let l be g(5). Find the second derivative of 15*u + 15*u**3 - l*u**2 + 101*u**2 wrt u.\nAnswer: 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let b(x) = -33 - 6*x + 33. Let c(w) = b(w) - 2*y(w). Let p(l) = l**2 - 34 + 34. Give c(p(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -348382321 rounded to the nearest 1000000?\nAnswer: -348000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106.5234 - 0.1.\nAnswer: 106.4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 62153\/(-18)*(-18)\/5130. Let n = 8\/513 - g. Calculate the common denominator of n and 10\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 10*l - 15*l. Let s = l - 58. Suppose -s*m + 4*f = 24, 0 = -0*m - 3*m - 2*f + 4. Is m at least as big as -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d - 6. Let b(a) = -6*a + a - 3 + 4 + 3*a. Let h(v) = -24*b(v) - 5*s(v). Differentiate h(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/3, 2\/7, 19, -6, 3.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*p - 18*p - 20*p)*(3 + 2 - 6) to i*p + n and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2026*z - 4045*z - 9 + 2021*z. Give a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/108 + (-3 - (-30)\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 11) in base 8?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*h, 5*z + 1 = 2*z + 2*h. Let q be (-3 - -5)*(5 + z). Solve q*l - 5*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (363\/(-6))\/((-2)\/4) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqoqgzqwwwb. Give prob of picking 1 b and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:22 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 i when three letters picked without replacement from ggynyygtynnginn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10920557 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780861817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4257910 is divided by 2328?\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*w + 105 = 572*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by -50.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22503455 - 5?\nAnswer: 22503450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/65 + (0 + 3)\/15. Let h be (u + -7 + 8)\/(0 + 1). Suppose 4*f = 0, -3*g - f = -6*f - 6. Solve g*n - 6*n + 4 = h*x, 5*n + 2 = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-84)*(321440\/(-123))\/(-32)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 79, 247, 575, 1117, 1927, 3059, 4567?\n\"Answer: 9*a**3 - a**2 + 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61458 = -2*l - k, -52*l + 47*l + 153642 = 2*k. What are the prime factors of l?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -93*m. Calculate the remainder when i(-1) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15193641 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407067 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (665\/(-40))\/(45\/(-12)) and -109\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = -2*p, 11 = 5*p - 5*r - 39. Let v(y) = -3*y**3 + 6*y**2 + 4*y**3 - 2*y + y**3 - 3*y**3 - 1. Give v(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 1045*x**2\/3 - 4168*x\/3 + 1388.\nAnswer: -(x - 1041)*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -159, -507, -1193, -2331, -4035, -6419, -9597?\nAnswer: -13683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1504 - -12119\/8. Let h = 5654\/845 + 3\/338. Calculate the common denominator of i and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:36 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-307947)\/(-4))\/((-54)\/(-4)). Let f = y + -5700. Find the common denominator of f and -37\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 + 3*6\/9. Let x(v) = -2*v**3 + 5*v**2 - 6*v - 7. Let b = -2 - -6. Let r(o) = -5 - 3 + 2*o**2 - 7*o + b*o**2 - 2*o**3. Determine j*r(c) - 6*x(c).\nAnswer: 2*c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*l**2 - 80*l + 80*l.\nAnswer: -1073*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7\/(c*c**(1\/31)*c))**30)**(-1\/6) assuming c is positive.\nAnswer: c**(-770\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -690 + 687. Let k be n - ((-175)\/28 + (-3)\/4). Let -18\/5*o**2 - 26\/5*o**3 - 9\/5*o**k + 27\/5*o + 27\/5 - 1\/5*o**5 = 0. Calculate o.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2710*l**3 - 153*l + 9 wrt l?\nAnswer: 16260*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 14*v - 6*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 37 = 3*y - 7, 3*o + 4*y + 5 = 0. Solve o*x - 16 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -58\/5, -8, 0, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 1, 0.1, 3 in decreasing order.\nAnswer: 3, 1, 0.1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h = 35. Calculate the remainder when h is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 2*t = 171, 2*m - 64 = 3*t. Suppose 0*h + 5*h = -3*n + 55, 0 = 3*n - 5*h - m. What is the greatest common factor of n and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2 + m + 9. Let f be (-3 - -6)\/(-3)*0. Calculate n(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -147*o**2 - 275*o**2 - 364*o**2 + 367*o**2. Let y(p) = 3*p**2. What is y(r(k))?\nAnswer: 526683*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/((-6)\/30). Suppose -30 = -m*u - u. Suppose -u*w - 440 = 5*t, -4*t - 97 = -4*w + 263. Round t to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6325, 12859, 19393, 25927?\nAnswer: 32461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -4 + 23*1. Suppose 5*g - z = g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 3.\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012*k**3 + 1002*k**3 + 1004*k**3 + 1003*k**3 + 1008*k**3 - 5035*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.220473502 rounded to 3 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwgrqgqqqqq. Give prob of picking 2 r, 1 q, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -5*b - 1\/8*b**3 + 0*b**4 + 1\/4*b**2 + 0 + 1\/80*b**5. Find o, given that a(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 100 + 215 = 0. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -p. Suppose p*m - 149 = 151. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 82, 172, 294, 448?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 71*s = 200. Let z be 2256\/s - (-6)\/10. Let b = 28 + z. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 + 3*o**2 + 15*o + 29. Calculate the remainder when p(-9) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**3)\/n**12)**(-36) assuming n is positive.\nAnswer: n**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 2. Let m be q(14). Let z = -19 - m. What is the tens digit of -9*(5\/z + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 d when four letters picked without replacement from bbdbbdb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2774, -22154, -74700, -176978, -345554, -596994, -947864?\nAnswer: -1414730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1979?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 1\/2 (c) 36 (d) -3 (e) -0.05 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1017\/8 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -767868.928 to the nearest 10.\nAnswer: -767870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**2 + 383*t - 25730. What is f(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(1053) + 5)**2 + sqrt(1053) + sqrt(1053)*2*-4.\nAnswer: -243*sqrt(13) + 4237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -271 + 276. What is the first derivative of 5*a - 8 - n - 11*a**2 + 8 - 47 wrt a?\nAnswer: -22*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 107246336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 413680 and 256.\nAnswer: 6618880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -39. What is the closest to v in 1\/2, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 - 330. Let p = f - -186. Suppose 3*v - 283 = -5*u, -2*v - 1 - p = -u. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 104. What are the prime factors of ((-9)\/9)\/(-1*h\/244)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 1, k: 2, l: 3, c: 4}. Give prob of sequence cilc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 911273 (base 10) to base 12\nAnswer: 37b435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p + 6. Let w be r(-1). Which is the second smallest value? (a) 59 (b) 4 (c) -5 (d) -0.4 (e) w\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 7*f + 5. Is (-8 + -7 - f)\/(1\/(-479)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/66 and 101\/667746.\nAnswer: 7345206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 92 = 2*f, -g - 187 = -2*f + 6*f. Which is greater: -48 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3. Suppose -4*t = -5*i + 22, -2*t - 3*i - 8 = -4*i. Let a be 2\/t + (-2)\/(-3). Solve -2*g = -4*h + 12, a*g - g = -h + c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 37\/4) + 1\/4. Is j < -48\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -h + 3*h + 4*l, -4*h = -2*l - 440. Calculate the highest common divisor of 1045 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.12692 litres?\nAnswer: 44126.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -18*y**3 + 2*y**2 - 3*y + 5. Let z(w) = -37*w**3 + 5*w**2 - 7*w + 11. Determine 5*s(b) - 2*z(b).\nAnswer: -16*b**3 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*q = -12. Solve -g + 4*m - 4 = 1, 0 = -q*m + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 - 352*d**2 - 18*d + 229. What are the prime factors of k(-72)?\nAnswer: 19, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -3*b - 0*b. Let v be (-6765)\/(-44) - (-2)\/8. Suppose -2*c + v = 4*u, -3*u - 5*c + 48 = -b. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*i + 1. Let u(l) = -7*l**2 + 55*l + 7. Let a be u(8). Sort i, 1, a, 4 in increasing order.\nAnswer: i, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -181, -180, -179, -178?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15740450 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -51, -4, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -104\/525 and -27\/2275?\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2592, 4840, 6706, 8196, 9316, 10072, 10470?\n\"Answer: l**3 - 197*l**2 + 2832*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 3, 1.29, 3\/7, -11, -1\/10, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1573690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -28, -10, -32, 2, -0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 4*f - 83. Suppose 2*r = -2*r + f. Let w = -312\/11 - -2404\/77. Which is greater: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140211417 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 6 + 4. Put 0, p, -3 in decreasing order.\nAnswer: 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8038*a + 32727 + 652103 + 167198 = 0 for a.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98629234 rounded to three dps?\nAnswer: 0.986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 440419.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16481262 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19574*s. Let c(j) = 1611*j + 3. Determine i(c(d)).\nAnswer: -31533714*d - 58722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*h**4 + 77\/5 - 76\/5*h**2 - 78\/5*h**3 + 78\/5*h.\nAnswer: -(h - 1)*(h + 1)**2*(h + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 1488*w**2 + 7557*w + 702. Calculate d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 18 = -2*i - 5*f, -2*i = 4*f - 20. Let j(o) = -3*o - o**3 - 11 + 6 - 5*o**i + o. Let a be j(-5). Sort -5, a, 9 in ascending order.\nAnswer: -5, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-27)*-1)\/(84\/63). Which is the nearest to 0? (a) 4 (b) -5\/11 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/80)\/(5\/20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*t - 2 - 71*t + 11 - 47*t.\nAnswer: -327*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2014*g + 133. Let f(h) = 76*h + 5. Let r(a) = 133*f(a) - 5*j(a). Let v(s) = 41*s + 7*s**2 - 41*s + 0*s**2 - 4*s**2. Give r(v(b)).\nAnswer: 114*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -1, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 7*g - 38. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 727, 729, 731, 733, 735?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -86*f - 2. Let c(w) = -1560*w + 141. Let m(y) = -c(y) + 18*n(y). Determine m(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-21) + -3 + 4\/1. Factor 0*h + 0 + k*h**2.\nAnswer: 2*h**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5327 rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7874 - -2?\nAnswer: 7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4440, 4446, 4438, 4410, 4356, 4270, 4146?\n\"Answer: -m**3 - m**2 + 16*m + 4426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-2 - 0 - -1). Suppose -25 = -q*t - 0*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 2*w + 3. Suppose 2*x - 2*m = 2*m, 5*x - 3*m + 7 = 0. Let c be o(x). Suppose -2*i - c*i = 0. Put -2, -3, i in decreasing order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 10. Suppose -5*g + 28 = -w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16228, 32427, 48626, 64825, 81024?\nAnswer: 97223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10599998*b + 4. Let w = 39 - 37. Let p be x(w). What is p rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16446449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 216 = -212. Let z be (c - (4 + -2))*(-15 + 11). Solve 0*q + 5*g = -4*q - z, 2*q - 12 = 2*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2151 = 372. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278 divided by 139.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {s: 2, v: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514\/1155 + -14\/55. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 1, l: 3}. Give prob of picking 1 t, 2 l, and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -6, 4.\nAnswer: -6, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.491 * 0.1062.\nAnswer: -0.2645442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 31*p**4\/24 - p**3\/6 + 7*p**2. What is the units digit of b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13513\/109890 - -2\/1485. Let g = -3927 + 23623\/6. Find the common denominator of g and n.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*m**2 - 76*j**3*m - 32*j**2*m**2 - 2*j**2*m wrt m?\nAnswer: -4*j**3 - 64*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2737998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-3 - -2) + 2. Solve g + o*g + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038191907794 - -0.1567?\nAnswer: 0.194891907794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by -1.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34656 is divided by 794?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**3 + 3*c**2 + 3*c. Let d be (-2)\/(-12) + (7 - (-427)\/(-42)). Is 7 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033446 + 3.2937.\nAnswer: 3.327146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 4*b - 3. Let d be o(5). Let r = 17 + d. Calculate the remainder when r is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b**3\/7 + 3802*b**2 + 320092*b\/7 - 43152\/7 = 0. What is b?\nAnswer: -12, 2\/15, 899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/13248 and 47\/736?\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613102582.\nAnswer: 2, 23, 61, 151, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w - 20. Let r be (1\/(-1))\/(1\/(-22)). Suppose 3*j + r = 73. Let z(g) = -g - 6*g + 2*g - 7. Give j*z(c) - 6*u(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 58. Let i = 201 - 101. Calculate the highest common factor of j and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-72)\/(-384)*4)\/(-1 + (-3023)\/(-3020)). Solve 759*m = v*m + 32 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5251 + -5251.2. What is the fifth biggest value in i, 25, 2\/17, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -39 + 12 + 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/(x\/x**(-7))*(x**(-2\/3))**(-12))\/(x*x\/x**(2\/29)*x*x**(-2)*x*x)**(-26) assuming x is positive.\nAnswer: x**(1949\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 1002 - 908 = -2316 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 + 43*z**3 - 10*z**3 - 10*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5187862 to 2 decimal places.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*z**5 + 514*z - 264*z**5 - 685*z**5 - 47*z**5 - 440*z**5 wrt z.\nAnswer: -32800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 - 11*s. Let j be 0\/(-2) + 6\/(2 - -1). Suppose j*y = -5*f + f - 10, -2*y - 3*f = 13. Calculate a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 + 3135*x\/2 - 174677\/3.\nAnswer: (x - 37)*(x + 9442)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724653843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = l + 2*z + z, -28*l - 112 = -2*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Let m(i) be the first derivative of 1\/15*i**g + 2 - 1\/18*i**6 + 0*i + 0*i**3 + 0*i**2 + 0*i**4. Suppose m(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/3)*j*j*j**(-12)*(j**(-5))**(-8\/5) assuming j is positive.\nAnswer: j**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -3938 and 0.70313 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81.53292ng?\nAnswer: 0.00000008153292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 6:36 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 668828179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**3 + 2008*k**2 - 89072*k + 864416 = 0.\nAnswer: 14, 34, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*i + 11*v, -3*i + 12*v - 11*v - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*6\/(13\/((-1326)\/9)). Solve y*m - 18 = 93*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 35 = 17*j - 32, -10*b + 2*b + 132 = 2*j - 220 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39757585391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let i(y) = 36242952*y. Calculate o(i(c)).\nAnswer: -2627103139348608*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/3 - 465152*o**2\/3 - 27046263034*o\/3 - 54090665476\/3 = 0. What is o?\nAnswer: -116287, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 3*o**4\/10 - 4*o**3\/15 - o**2\/5 - 43. Suppose p(b) = 0. What is b?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 10. Let v be q(15). Let m = 0 + 2. Solve -16 = -v*a - s, -m*s + 4 = -2*a + 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 63863943?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5768)\/618)\/((-2)\/3*-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 33003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 2*i**4 + 2*i**2 - 2 + 7*i**4 - 2*i**4 - 2*i**4 as b + d*i**2 + r*i**3 + o*i**4 + s*i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5941 + 23767\/4. Let l be (-1)\/((-2)\/(8\/2)). Factor 0 + 3\/8*n**l + s*n.\nAnswer: 3*n*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24\/7*q**2 - 18\/7*q**4 + 128\/7 - 576\/7*q + 16*q**3 = 0. What is q?\nAnswer: -2, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 5086889.\nAnswer: 361169119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 24 = -4*i - 4*v, -4*i - v + 27 = 0. Suppose 2 = -2*q + i. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/16 and -773*(-6)\/(-1092) - (1 - 5)?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 + -0.25. Suppose 6*w - 5 = 2*w - l, 3*w = -l + 3. Which is the third smallest value? (a) 0.5 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(405) + -3 + 1*sqrt(405) + sqrt(405) - ((1 + sqrt(405))*4 - (-5 + 1 + sqrt(405))**2).\nAnswer: -81*sqrt(5) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {g: 1, o: 1, d: 1, f: 2, n: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = 7*x - 12*x. Calculate the remainder when x is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359252 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2. Let k(n) = 83*n**2 + 114*n. Let j(m) = -41*m**2 - 53*m. Let t(h) = 13*j(h) + 6*k(h). Give t(o(a)).\nAnswer: -315*a**4 + 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 567762470 to the nearest 100000.\nAnswer: 567800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4594, -487, 3618, 7721, 11822, 15921?\nAnswer: 20018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y. Let h = 6 - y. Calculate the remainder when h is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:26 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3, 4 in increasing order.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**3 - 22*y**3 - 24*y**3 - 9*y**2 - 4*y**3 + 6*y**2.\nAnswer: 13*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1.98. Let u = q + 0.48. Sort -5, 0, u.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285009463.\nAnswer: 127, 977, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 115215?\nAnswer: 115211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/11 - 44954*v**4\/11 - 22954118*v**3 + 1264590050*v**2\/11 + 5560562988*v\/11 + 4043522592\/11 = 0. Calculate v.\nAnswer: -11241, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1137052*l**2. Let k(p) = -9*p. Give r(k(g)).\nAnswer: -92101212*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 108*u**2 - 72*u. Let q(v) = v**2 + 5*v - 10. Let x(i) = -i**2 - 8*i + 15. Let y(w) = 3*q(w) + 2*x(w). What is -n(s) + 72*y(s)?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1582*t = 1570*t + 495 - 183 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, q: 1, a: 1, d: 13, k: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 185799 = 5*x, 0 = 104*i - 99*i - 2*x - 464445. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*c**4\/2 - 21995*c**3\/2 + 308635*c**2 - 377730*c + 117900 = 0. What is c?\nAnswer: 3\/5, 2\/3, 30, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) + (-24)\/64. What is the second biggest value in b, -4, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 12. Let u be k(7). Solve 9 = -u*a - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-130230)\/(-40) + 13 + 3\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*u - 22441 - 66136 = -22841 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/((z\/(z\/(z*z**(2\/7))))\/z)*z*z*z)\/(z**7*z))\/(z**(-1\/3))**(1\/6))**(-7\/2))**(-2\/19) assuming z is positive.\nAnswer: z**(-533\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82, 157, 244, 349, 478?\n\"Answer: k**3 + 68*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800400 rounded to the nearest 10000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.072 + 5.072. Which is the closest to 0? (a) t (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvnvvvzt. What is prob of picking 1 v, 1 t, 1 z, and 1 n?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586521*-0.5.\nAnswer: -293260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 38. Let k(n) = -n + 19. Let r(m) = -2*b(m) + 5*k(m). Is 8 a factor of r(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + x - 5 + 2 + 2056*x**4 + 598*x**2 - 2 + 6096*x**4 wrt x.\nAnswer: 195648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 25*q**3 + 32*q**2 + 5*q - 128. Let u(c) = 74*c**3 + 95*c**2 + 13*c - 385. Let j(o) = 8*i(o) - 3*u(o). What is the derivative of j(m) wrt m?\nAnswer: -66*m**2 - 58*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8244759 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129920 rounded to the nearest 10000?\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 224, 227, 230?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39653164742369\/13137396748140 + 191955\/118643518. Let n = p - -3\/51674. What is the common denominator of n and 82\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 914*f**2 + 66784*f - 137240 = 0.\nAnswer: -365, -94, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 95161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5514 or 5515?\nAnswer: 5515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4362895, 4362897, 4362899, 4362901, 4362903?\n\"Answer: 2*g + 4362893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 50*p**2 - 16*p**2 - 56*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740812 and 556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4*(-7)\/42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103133 (base 4) to base 15.\nAnswer: -2be4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 6*f + 2. Let b(i) = i**3 + 9*i**2 + 8*i + 6. Let y be b(-8). Let h be z(y). Suppose 3*o = -4*t + 880, 4 = -o + h*o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1116 = a - 1103, -4*a - 20 = 0. Find s such that 4\/9*s**l + 0 - 16\/9*s = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:57 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (19 + -4 - (36 + -19)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 - u**2 + 2*u**2)*(-4 - u + 4) + 3*u**2 - 3*u**2 - u**3 + (u + 20 - 2*u**2 - 20)*(-u + u - 2*u) as h*u**2 + s + y*u + a*u**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 4) to base 11.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -22*q**3 - 2*q + 1. Let m be (-10)\/(-4)*(-4)\/(-2). Suppose 4*u + 18 = 2*f, -f + 2*u = -m*f - 4. Let n be z(f). Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 169 = 3*f, -5*z = -4*f - 117 + 334. Suppose 0 = 56*q - 46*q - 60. What is the greatest common factor of q and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*w = 3, 1 = 2*v - 3*w - 20. Put -1, v, 1 in descending order.\nAnswer: v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:12 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2729 divided by 6.\nAnswer: 2729\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = -0*s. Let i(h) = 18 - 11 - 3*h - h**s - 3*h**2 - 7. Let r(u) = 6*u - 104. Let d be r(17). Give i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-18\/7)*(k**(-6\/17)*k)\/k assuming k is positive.\nAnswer: k**(-348\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(16)\/sqrt(2)) + 0 + sqrt(176) + 4 + (5*(sqrt(99) + 1*sqrt(99)) - sqrt(99))*6)*5)**2.\nAnswer: 33400*sqrt(11) + 7669875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 5 + 0*s + 0*s + 2*s to t*s + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*(-6)\/9. Let v be 0\/(o*(-1 - 0)). Suppose -3*k - 2*r + 107 = -v, -2*k - 3*r + 63 = 0. Is k 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 -20481, -40467, -60453, -80439, -100425?\nAnswer: -120411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000091837 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 5:28 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 461 divided by 218\nAnswer: 461\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.039287 + 0.31.\nAnswer: 1.349287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.05440326\nAnswer: 0.02720163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 = -6*r. Let y(b) = b + b**2 - b + b**r. Let h(o) be the third derivative of -o**5\/12 + 4*o**2. Determine y(h(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-17)*(-153 + 2686\/17)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*b - 220*b + 26277 = 481*b + 308*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51351511 (base 6) in base 14?\nAnswer: 2a6159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-3 - (-14 + 5 - -8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 3*n**2 + n**2 + n**3 + 9 - n**2 + 0*n**2. Let g be k(2). Let r(x) = -6*x - 1. Calculate r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75722*x + 88*x**2 - 37863*x - 37860*x.\nAnswer: 88*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 18 + 2. Solve -r*c + 4 = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -2\/27 (b) -1 (c) -88\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -113240224?\nAnswer: 113240310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 8*v**2 - v + 11. Let z be x(8). Suppose -2 = 2*i - z*i. Solve -i - 2 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 5. Let w(b) = 10*b - 16. Let s = 93 + -88. Determine s*w(i) - 16*o(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1. Let q be l(-3). Is (-1 - (-3)\/q)*118 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*m - 2975 + 11025, -2*p - 4*m = -4036. What are the prime factors of p?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000170100 rounded to the nearest 100000?\nAnswer: -2000200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 11, 1, 4, 239 in descending order.\nAnswer: 239, 11, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/21*b**4 - 4\/21*b**3 + 4\/7*b - 10\/21*b**2.\nAnswer: 2*b*(b - 3)*(b - 1)*(b + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276856 divided by 3.\nAnswer: 276856\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k + 100. Let o be m(-4). What is the biggest value in o, 2, -1, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -7. Let p = b + -10. Let v = -4\/31 + -158\/217. Put p, v, 0 in decreasing order.\nAnswer: 0, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*4\/(-15) + (-16728)\/612.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Suppose 0 = -3*f + 6*f + 15. Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + p + 76 = 0, -3*p = -2*z + 2*p + 92. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -1, 3, 2 in descending order.\nAnswer: 160, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19359323 is divided by 199580?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:04 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -38 - (2 + -1)*2. Let d = n + -25. Is 2\/(-9) + d\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i - 2*i)*(-15*i**2 + 3*i**2 - 5*i**2).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 122 = -6*m + 2*i, -4*i + 22 = -2*m - 5*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 2*k**2 + 3*k - 771*k**2 - 34893 + 34893 + (2 + 1 - 5)*(-k**2 + k - k) + (k - 4*k + 5*k)*(-k - 2 + 2) - k**2 + 1 - 1 + 3*k - 2*k**2 - 3*k.\nAnswer: -776*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1704 + -1617. Calculate the least common multiple of 54 and r.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9306 divided by -282?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(22)\/sqrt(704) - (-5 + -1 + sqrt(2)))**2 + (sqrt(162)*1 - sqrt(4)\/sqrt(2)*6).\nAnswer: -15*sqrt(2)\/2 + 1233\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 68 - 14*t - 13*t + 16*t. Does 36 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 12. Let d be l(-4). Sort d, -1, 0.\nAnswer: d, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(117) - ((sqrt(117) + -1)*-2 - sqrt(117))))**2 + 0.\nAnswer: -30000*sqrt(13) + 1172500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*a - 80*a - 9380 = -3494 + 14874 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -x + 6, o - 4*x = -x - 2. Suppose 5*h - 4*h - o = 0. Solve 0*u + h*u = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b - b)*(-2*b**3 - b**3 - b**3) + (0*b - b - 3*b)*(b - b + b**3).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128822 and 2009?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52098, 1, -4, -14.\nAnswer: -52098, -14, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 4*o - 51, 90 = 9*r + 445*o - 440*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51104*m**3 - 4*m - 72337*m**3 + 4*m)*(5*m - 4*m - 3*m) to the form z*m**3 + v*m + o*m**2 + l*m**4 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddzzd. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 12, f: 2, s: 2}. Give prob of sequence fu.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8\/7, 3.1, 3, 2\/115.\nAnswer: 2\/115, 1, 8\/7, 3, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/(81\/(-324)*16\/27)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1046*o**3 - 1042*o**3 - 4.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 + -4. Let w = 0.05 + 1.95. Which is the nearest to -3? (a) 1 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Suppose 5*g = 24 - k. Let c(r) = 3*r - g + 1 + r. What is c(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -42.4. Let k = s + -9. What is the nearest to 0.1 in -1, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1364 - 1363. What is the third smallest value in f, 1\/4, 0.045?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48548018 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5 + (-9)\/(-2)). Suppose 2 = -x - i, 2*q - 266 = 3*x. What is the remainder when q is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 232*p + 1. Suppose 3 = l - z + 1, -2*l + 5*z = -4. Let o be w(l). What is the greatest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6061.782l to millilitres.\nAnswer: 6061782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5215*t - 5212*t - 5213*t + 20853*t - 5213*t + 22*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-7))\/(440\/(-11396)))\/((-5)\/(200\/(-16)))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 6*9\/(-3). Suppose 0 = u + u + 5*y - p, 0 = 4*u + 2*y - 16. Calculate the greatest common divisor of 12 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/37, -3\/7, -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 9481. Let n(s) = 2*s. Determine z(n(f)).\nAnswer: 16*f**2 - 9481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5531 rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189162 and 8136.\nAnswer: 756648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/18 and 109\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 23 + 17 = 5*r, -4*b = -r - 7. Let f(k) = 4*k - 2*k + k**3 - k**2 + b + 3*k**2. Suppose 54*m - 12 = 58*m. Calculate f(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r + 4*f - 42 = 0, 4*r - 32 = -4*f. Let m(y) = y**2 - 6*y + 13. Let b be m(-14). Let x = b - 183. Calculate the highest common factor of x and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -13. Find the common denominator of (-14)\/12*(-345)\/z and -47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217065*f = -217038*f + 189 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 0 - 3 - 31\/15. Let t = 2\/15 - c. Suppose -3*j - 3 = 3*o, -2*o + 3*j + 3 = -5. Put 2\/9, t, o, -3 in descending order.\nAnswer: o, 2\/9, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {r: 1, f: 1, d: 1, c: 1, t: 1, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0538017 + 0.3538017. Let o = -8.82 + -0.18. Sort l, 0.2, o, -5 in descending order.\nAnswer: l, 0.2, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 19*y - 46. Let j be m(-22). Solve 5*d + 2*b + j = 0, -5*d + 5*b + 5 = 2*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81480.2 centuries?\nAnswer: 97776240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -22 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549203 is divided by 849731.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24106112 divided by -8.\nAnswer: -3013264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 155 = 5*f, -3*f = 2*a - 21 - 40. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -677 and 457.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/104 and -99\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 2*h. Let u be 4\/(-6) - 2\/6. Let n = u + 1. Let k(w) = w**2 + 0*w - w + n*w. Calculate 3*b(p) + 8*k(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14152310 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 16 - (-3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 615.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.069 + 0.069. Put -0.1, a, 0.2, -2\/57 in increasing order.\nAnswer: -0.1, -2\/57, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/5 + 872*p**2\/5 + 2471*p + 43414\/5 = 0.\nAnswer: -7, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**45\/(p*(p\/p**(2\/5))\/p*p**(1\/2)) assuming p is positive.\nAnswer: p**(439\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.341177228 - -0.3412. What is q rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) 29 (c) 0 (d) 4.115 (e) -381 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110110001010001100100?\nAnswer: -110110001010001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6 - 2. Let v = a + 3. Suppose 2*d - v = d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 2:45 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22895.10747 + 22895. Let a = 0.107 + v. Round a to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503407 + 304?\nAnswer: 503711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*q)*(-8*q + 8*q + 4*q**2 + (0 + q + 0)*(0 + 0 - 2*q) + (0 + 3 - 1)*(q**2 - 4*q + 4*q)).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z - 17*z = -2343. What is the remainder when 1220 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 81025 and 80695 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*a + 240*a + 1092 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 295 and 649?\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201*4\/(-114) - (-199 + 192).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 839, 1818, 2799, 3782?\n\"Answer: g**2 + 976*g - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101592 + 142624. Suppose 31*k = 11234 + n. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 6*q - 3. Let r be d(4). Suppose -r*v + 5*b + 20 = 0, -3 = -4*b + 1. Suppose -4*s = -p + 6, 0 = v*p - s + 5*s - 150. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5 + 6.36. Let m = -0.46 + v. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:49 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*w\/(w*w**(-2\/15)*w)*w*w)*w))*w**(2\/43))\/(w\/w**(-2\/71)*w*w**(-11\/8)\/w) assuming w is positive.\nAnswer: w**(95257\/366360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 156*r - 3. Let t be i(11). Suppose 20*b - 17*b = t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/2 - 198*b**3 - 11329*b**2\/2 - 19458*b = 0.\nAnswer: -23, -4, 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t - 22. Let p(c) = c + 1. Determine -6*b(a) - 2*p(a).\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 2 + 28)*(2 + s + 4*s - 2*s + (-4*s + 3 - 3)*(2 + 1 - 5)) to q + c*s and give c.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddyy when four letters picked without replacement from {y: 3, d: 2, c: 2, b: 5}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009025851 to 6 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00341078 rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/6*(-73890)\/(-164200)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)\/a)**(3\/17)*(a**(1\/4)*a)**(-16)*(((a\/(a*a**0))\/a*a*a)\/a)**(3\/16)\/(a**(-3)*a**4) assuming a is positive.\nAnswer: a**(-360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*p - 12*s + 10*s - 8, -2*s - 8 = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3363927 is divided by 471?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2735317, -5470609, -8205873, -10941103, -13676293, -16411437, -19146529?\n\"Answer: l**3 + 8*l**2 - 2735323*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.4690899 rounded to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 - 77706?\nAnswer: -77796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*k - 25, -26 + 9 = 3*f - 5*k. What is the units digit of -3*(f + 44\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528795203 is divided by 2897.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 41138767 and 41138769 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 123*g**2. Let r(x) = 5*x**2. Determine i(r(z)).\nAnswer: 3075*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85233 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 71.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482 (base 10) to base 7.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-6 - 1)) + (186 - 192)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 5\/2, -4\/5 in descending order.\nAnswer: 5\/2, 1, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462701?\nAnswer: 3, 73, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 332.9189065 + -0.0659065. Let k = 55.2 - -277.8. Let i = k - j. Round i to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in 0.1, 1\/5, -24, 2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9421.046 kilometers?\nAnswer: 9421046000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170 - 172) + 3 + 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s - 12 = 39*s. Put -5, -10, s in descending order.\nAnswer: s, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4\/4 - 425*q**3\/4 + 965*q**2\/2 + 1400*q = 0. What is q?\nAnswer: -2, 0, 7, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 7*o**3\/3 + 11*o**2\/2 - 18*o. Let t be x(-4). Does 21 divide (t\/(-30))\/(3\/106)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2, 20, -177, 4.\nAnswer: -177, -5, 1, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + -16 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 3*i - 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1981575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*z - 2*p + 1, 0 = 5*z - 4*p - 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 14. Suppose -4*m + d + 0 = 0. Solve m*o - 6 = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/((-19)\/(-9) + -2). Solve -c = 2*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 23*u**2 - u. What is the remainder when 63 is divided by a(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pza when three letters picked without replacement from papazpaazapa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 30774?\nAnswer: -30767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 4 - (-43 + 18)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 5*z - 6 = -6*n, 8 = -4*n - 3*z. Put n, 3, 5, -8 in descending order.\nAnswer: 5, 3, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-102)\/(-2) - ((-4)\/44 + 132\/121). Solve -72*i = x*i + 244 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = -594*o + 605*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1, -8 in increasing order.\nAnswer: -8, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562794 is divided by 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20*1*(-5)\/(-10). Let o = -7 + c. Solve -7 - o = 5*z + 5*j, -5*z = -2*j + 31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/29738392 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18512, 18516, 18522, 18530, 18540, 18552, 18566?\nAnswer: 18582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -91*m + 13. Suppose 103*q + 26 = 116*q. Let x(p) = 15*p - 2. Calculate q*n(u) + 13*x(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qckkqkccqkkccckcqkq. What is prob of sequence kckq?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 - f**2 + 35*f**3 + 2*f**2 - 28*f**3 - 1 in the form v*f**3 + j*f + s*f**2 + g*f**4 + l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 t, and 1 w when four letters picked without replacement from {l: 1, w: 4, t: 2, k: 1, s: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c**3 + 3 - 30*c**3 + 13*c + 3*c**3 + 12*c**2 + 3*c**3 - 4*c**2. Is k(-3) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.051 + -0.049. Let u = 0.0663 - -4.9337. Which is the nearest to 76? (a) d (b) u (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 445*d - 16563. What is x(-41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1043 + 716 = 2*n - 5*l, 5*l + 3533 = 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let c be 2 + (s - -1 - -3). Solve c*y = -4, -3*v - 2*y - 1 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - c**3 + (-12*c**2 + 2*c**2 + 6*c**2)*(-8*c + 9*c + 10*c).\nAnswer: -45*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 8248*x**2 + 8248*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7*l + 4*l + 1 - 12*l.\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 3978, 0, -4 in ascending order.\nAnswer: -4, -1, 0, 2, 4, 3978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 201. Which is the second smallest value? (a) -1\/5 (b) 0.3 (c) q (d) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -831 by -33.\nAnswer: 277\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121343.\nAnswer: 121343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**4 - 2*g**3 + 1953*g**2 - 260*g - 8153882.\nAnswer: 4*g**3 - 6*g**2 + 3906*g - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*n**4 + 1751*h*n**3 - 5*h*n**2 - 33*h*n + 523*h + 72*n**3 + 4*n**2 wrt n?\nAnswer: 48*h*n + 10506*h + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*g**2*x**3 + 163*g**2 + 6*g*x**2 + 23*x**6 wrt x.\nAnswer: -138*g**2 + 2760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3724 (b) -2\/5 (c) -5 (d) -0.3768\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let h = 17053 + -17052. What is the closest to h in -1, -0.5, -20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i + 4. Let v be x(6). Let d(u) = -2*u**3 - 11*u**2 + 7*u - 2. Let y be d(v). Let b = -162 + y. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + 4*i**3 - 3*i**3 - 6*i**3 - 3*i**3 + (-i + 4*i - i)*(i**2 - 4*i**2 + 4*i**2))*(-4*i + 0*i + 5*i).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 32, -17, 0 in descending order.\nAnswer: 32, 1, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.351151 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0861, 1\/6, 2, -0.5?\nAnswer: -0.0861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/46 (b) -0.2 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 9. Let x = -82 - -87. Let k(d) = d**2 + d + 2. Let q be k(0). Suppose 1 - 5 = q*n, -4*b = -x*n - 34. Give c(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28713\/(-1126)*44\/(-1683)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 1:46 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 6*q - q - t, -3*t + 24 = -4*q. Let w = q + 12. Let a = 2 - w. Which is bigger: a or -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhmhhhhmhhh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1137, 3, 6, 5, -3412 in decreasing order.\nAnswer: 1137, 6, 5, 3, -3412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20036729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x. Let u(n) be the first derivative of n**3\/3 - n**2\/2 + 139. Determine u(j(v)).\nAnswer: 64*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1647, 3296, 4945, 6594, 8243, 9892?\nAnswer: 11541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 19*b**2 + 11*b + 13. Let n be f(-9). Let l(p) = 4*p + 9. Let c(a) = 6*a + 14. Let o(y) = n*c(y) + 7*l(y). Calculate o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38643, 38644, 38645, 38646, 38647?\n\"Answer: p + 38642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 61. Let l be 2\/g*-4*3. What is m in 0 + l*m**5 + 14\/5*m**3 + 0*m - 4\/5*m**2 - 16\/5*m**4 = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 - -122. Let g = 0.2 + -1.2. Which is the nearest to 2? (a) g (b) 1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 23. Let c be 11\/d + (-2 - -1). What is the third biggest value in 1\/4, c, 2\/23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212011 (base 3) in base 5?\nAnswer: 124444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 102*u + 369*u + 315*u - 82*u to d*u + z and give d.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123917782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.178358 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1178*c*d**4 + 84*c*d - 4234*c + d**3 + 163*d**2 wrt d?\nAnswer: 14136*c*d**2 + 6*d + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-70))\/((-1)\/2). Put d, 1, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**2 + 5*i**2 + 3*i**2)*(-2 + 5 - 4) + (-4*i - 2*i + 4*i)*(2227*i - 1144*i + 1754*i + 374*i) in the form r*i**2 + x*i + z and give r.\nAnswer: -6425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-28)\/(-4))\/(-7). Solve o + 3*k**2 + 3 - 12*k - 23*k**2 + 28*k = 0 for k.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2 + (-4 - 3 + 4)*(3 - 3 + 2) - 1 - 1 - 3)*(1 - 1 - 4*y).\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 - 33 = -3*v, -b - 2 = 4*v. Suppose -2*r + 6 = -0. Let j(t) = 3*t**2 - 2*t - 2. What is the remainder when j(r) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 609581 and 2153069?\nAnswer: 1543488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671858 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 8*y = -504000. What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -4, -1\/4, -1, 2\/31?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 50 = -14. Let b(f) = -7 - 2 + f**2 - 5*f + 0. Let x be b(y). What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 10*a**3 + 325*a**2\/3 + 500*a + 2500\/3.\nAnswer: (a + 5)**2*(a + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c**(-2\/43))))\/c*c\/c**(8\/5) assuming c is positive.\nAnswer: c**(76\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - 4*n + 4. Let h = 2 - -2. Let j(c) be the first derivative of 2*c**3\/3 + 3*c**2\/2 - 3*c + 2. What is h*j(w) + 3*a(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946 is divided by 144.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 5)\/((-1)\/(-9)). Let j be (-2)\/p - (-137)\/9. Suppose -4*c - j = -83. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7820068*h**4 + 578523*h**2 + 10*h.\nAnswer: 187681632*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 5*u - 170 = 0, 177189*l - 2*u = 177192*l + 69 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 2. Let b be c(-1). Solve b*r + 10 = 2*x, r + 5*x - 4 = 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1033786949 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4995234?\nAnswer: 2, 3, 277513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*y - 7 = 0, 9*x = 4*x - 4*y + 1. Let p be 3576\/66 + (-13)\/11 + x. Suppose -p*k + 50*k = -136. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*r - 80. Let o(a) = 2*a + 12. Calculate o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 236 - 6*q - 245. Let o(y) = 2*y**2. Calculate s(o(i)).\nAnswer: -6*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 + -72. What is the common denominator of k\/(-216) + (-4)\/16 and -26\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeos when four letters picked without replacement from ossoososse.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 + 36\/21\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:49 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (-2 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 15*t + 18. Is i(-10) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*f**2*s**3 - 1351*f**2*s - 3*f*s**3 - f*s - 3*s**5 wrt s?\nAnswer: -102*f**2*s - 18*f*s - 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 947*m + 27510.\nAnswer: (m - 917)*(m - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c (base 13) to base 5.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*q - 2 = 0, -767*j - 5*q = -768*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyytyyctyctttttytc. Give prob of picking 2 c and 1 y.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 2.12. What is the third biggest value in 0.4, 1, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 6*t. Let v be u(-6). Let m be (-152)\/(-1)*(v - 0 - -1). Round m to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113771 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-five quarters of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-1)\/(-1))*0. Suppose -5*k + 2*k + 24 = j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 (base 13) in base 11?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8390467.\nAnswer: 8390467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -165 (c) 1716 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {n: 1, o: 1, m: 1, w: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooq when three letters picked without replacement from ooooqqoooooooqoo.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -642. Let t = r - 543.9. What is the second biggest value in t, -10, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Suppose o*h = -i + 12, -4*h + 2*h = -3*i - 6. Solve -4*f = 3*x + 9, -4*x + 4 = -f - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 - 151*t**2\/2 - 16717*t\/2 - 1636003\/6.\nAnswer: -(t + 73)**2*(t + 307)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2 + 7*l - 1. Let t(f) = -7*f**2 + 6*f - 1. What is -6*r(b) + 7*t(b)?\nAnswer: -7*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose -5*q = 3*y - 1 - 8, -y + 3 = p*q. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 1. Let z(v) = -9*v - 2. Suppose 9 = -f + 3. Let o(y) = f*z(y) - 11*l(y). Let a be ((-10)\/(-25) - 3) + (-64)\/(-40). What is o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000394 rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 13*j**2 + 12*j + 9. Let w be v(12). Let k(p) = 81*p + 20. Is k(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -29. What is the second derivative of t*s**2 + 22*s - 20*s - 36*s wrt s?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29712337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4990)\/(-26) - 16 - 1\/(-13). Calculate the greatest common factor of 1848 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 204?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(30\/(-3)))\/((-4)\/(-5380)) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 2, r: 6, k: 1, i: 3, l: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*g**2 + 0*g - 1\/2*g**3 + 0.\nAnswer: -g**2*(g - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*201\/(-67)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**4 + i**3 + i**2 + i - 1. Let b(j) = -33*j**4 + 8*j**3 - 2*j**2 + 6*j - 11. Let k(n) = b(n) - 6*x(n). What is the third derivative of k(g) wrt g?\nAnswer: -648*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4956 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508665 and 75?\nAnswer: 2543325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-2\/7)\/((v**(-1\/2)\/v)\/v*v)**33)\/((v**(-5)\/v**(-1\/10))\/(v**(-2\/7))**(-1)) assuming v is positive.\nAnswer: v**(1909\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*k - k - 42 = 0, 3*r - 56 = -5*k. Suppose 2*y + 2*o - 11 = 3*o, 2*o + r = 5*y. Suppose 3*n + n - 32 = -y*j, 0 = -2*j - n + 11. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1103 + -1101. Suppose 2*l - 3*l = -4*d - 21, 5*d = 4*l - 40. Sort 1, b, 4, d.\nAnswer: d, 1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 87, 211, 335?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:22 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 43*d**2 + 2*d**3 + 15*d**2 + 19*d**2 - 13 + 15*d. Determine x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488, 1672, 3708, 6596?\nAnswer: 10336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**2*o*u + 2*k**2*o + k**2*u*w + 3*k**2 - k*o*w + 2*o*w - 2596*u*w + 237 wrt u.\nAnswer: 3*k**2*o + k**2*w - 2596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/90*20)\/(21\/(-18) - -1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110022110202 (base 3) in base 4?\nAnswer: -31011221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7 (b) -200 (c) -0.17 (d) -2\/3 (e) -1662 (f) 3 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m. Let t(l) = -l**3 - l + 10. What is -c(u) - t(u)?\nAnswer: u**3 - u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/101376414 and 99\/720076.\nAnswer: 1419269796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (2 - 0) + -1. Let b(s) = s**3 + 7*s**2 + 6*s - 6. What is the lowest common multiple of 504\/24 + -1*(1 - 0) and b(a)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1088) - (sqrt(425) + 1) - ((sqrt(17) - sqrt(102)\/sqrt(6))**2*-2 + (sqrt(612)*-3 + sqrt(17))**2).\nAnswer: -4912 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131596 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 39*y**3 + 17505*y**2 - 55578*y + 8136 = 0?\nAnswer: -452, 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/3 - (-16)\/12. Suppose -4*j + m*j - 660 = 0. Suppose -2*h + 16 = -14. Calculate the greatest common factor of h and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -5*p**5 - 3*p**4\/2 - p**3\/3 - 3*p**2 + 302*p + 5113. What is the second derivative of j(h) wrt h?\nAnswer: -300*h**2 - 36*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u + 80 = -4*y, -5*u - 116 = -3*y. Which is bigger: u or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6873082 divided by 5\nAnswer: 6873082\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -1\/4 (c) 0.2 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 10*j + 18. Let b be h(-12). What is the common denominator of (-16)\/(-14)*(-87)\/12 and (-4)\/(-12) + (-152)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.3*-0.1.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {u: 2, z: 1, a: 1, g: 1, s: 2, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 96, 179, 264, 351, 440, 531, 624?\n\"Answer: o**2 + 80*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150117521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 158585.\nAnswer: 951510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.1, -22, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 27*s - 1408. Calculate the remainder when o(29) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*v)*(-2 + 4 + 0)*(1 + 2 + 0).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 802464 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2706, -9\/116?\nAnswer: 2706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from lhlhlllvhvhllvlv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 3*v**3 + 94*v - 24. Let b(a) be the first derivative of d(a). Let j(x) = 4*x. Give b(j(i)).\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -700*h**2 + 7*h - 5. Let p be a(4). Let k be -1 + (-4 - -4) - p. Suppose m = -k + 46176. What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/15 and -47\/410?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-91)\/21)\/13)\/(15\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195686198 - 195686198 + 358*j.\nAnswer: 358*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 742842*h + 742840.\nAnswer: 2*(h - 371420)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((d**(-5)\/d)\/d))*d\/(d\/d**(-7\/4)*d))\/(d*d**11)**(1\/4) assuming d is positive.\nAnswer: d**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -570.3 * 3\nAnswer: -1710.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2620, -5165, -7710, -10255, -12800, -15345?\nAnswer: -17890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**5\/60 + 13*o**4\/8 + 86*o**3\/3 + o**2 - 343. Find w, given that a(w) = 0.\nAnswer: -4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -6. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 22 - 38.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32604975 a multiple of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/(143\/120714) + -7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 0 (c) -991 (d) 3 (e) 0.1 (f) 3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7728963 + -5508489. Let m = 2220467.000022 - g. Let w = m - -7. What is w rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19*f**2 - 2*f - 2. Let t be d(2). Let w = t - 49. Let s be -4*w*3\/(-2). Calculate the highest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*s - 100*s + 752 = 0. Let z(w) = 3*w - 185 + s - 2*w + 91. Let r(t) = 8*t. Let n(y) = 2*y - 3. Let d be n(4). Determine d*z(c) - r(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 6. What is d(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/((((f\/((f**(-1)\/f)\/f))\/f*f)\/f*f)\/f*f))\/(f**(-3\/5)\/(f*f*f\/f**3*f)))\/((f**(-3))**(-12))**(1\/12) assuming f is positive.\nAnswer: f**(-113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2199696 milliseconds in days?\nAnswer: 0.0000002456015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027629 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0*y**3 + y**3 - y**4)*(3 - 3 + 2*y).\nAnswer: -2*y**5 + 2*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c - 3. Suppose -2*y - 6 = 4*d + 6, 0 = -c*d. Let b(q) = q**2 + 6*q - 3. Let i be b(y). Sort -1, 5, i.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26858 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 724652 times 1.93\nAnswer: 1398578.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:24 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*a**2*b**4 + a**2*b**2 + 5*a**2 + b**5 - 20 wrt b?\nAnswer: 2112*a**2*b + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-6))\/(12\/16))\/(192\/(-672)) + -21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 + 36*u. Let k(z) = z. Let o(c) = -g(c) + 36*k(c). Let m(h) = -3*h**2. Determine o(m(f)).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 4, f: 2, a: 1, r: 1}. Give prob of picking 1 n and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49438956 is divided by 1241?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1473\/11815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-6))\/(-4))\/((-2)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 - 1) + 301 + -368?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*j - 48 - 2 = 0, -2*a + 3*j = -30. Let q be (a\/8)\/((-6)\/(-368)). Suppose -q = -3*s + s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72275629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 18*a**2 - 19*a - 21. Suppose -2*l - 2*r + 42 = -4, -69 = -3*l - 5*r. Calculate the remainder when l is divided by w(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 9*p**5\/5 - 9*p**3 + 1672*p - 704. Differentiate r(y) wrt y.\nAnswer: 36*y**3 - 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/183, -0.1, -1\/3, -7, -0.2, 0, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9992 + -9992. Let a(r) be the second derivative of -21*r - 8*r**2 + 1\/3*r**4 + o + 0*r**3. Find p such that a(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 47*a**2 + 42*a + 183. Let l be d(46). Which is smaller: -1\/1805 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25305935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132957419068428 minus -0.2?\nAnswer: 132957419068428.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70302 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t + 120. Suppose 2*w + 0*w - t = -3*l, -2*w = -2*l + 20. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*d = -16, -5 = 4*q + 2*d - 13. Does 21\/218 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i**3 - 27784518181 - 5*i + 5*i + 27784518181.\nAnswer: 45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: -2 divided by -243\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.807069 rounded to 2 dps?\nAnswer: 107.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + 19 + -16 + (3 - (-8 - -9)) + 8.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 808 (base 10) in base 4?\nAnswer: 30220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 88, -3, -296, 2\/7, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 132*w**2 + 8*w - 12. Let j be h(-7). Suppose -j = 19*o - 23*o. What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(4\/(12\/(-630)*-50))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) + 135\/(-90). Let q = -327 - -317. What is the smallest value in q, g, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 9, -s + 2777 = -85*u + 2512 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-110386)\/(-16) - (-12 + 8)\/(-32)?\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d - 41*d = -6256. Suppose n + d = 9*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -114\/23 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930115737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 - 4*q. Let j = -5 + 9. Suppose 7*x = j*x + 15. Suppose -k + 0*k - 3*a = 14, x*k + 2*a = -31. Determine t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 32*o**2 - 24*o + 1106. Determine v(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -330.493 + 331. Let c = x - 0.047. Let b = -8.36 + c. What is b rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -5*i**4\/12 + 32*i**3\/3 + i**2 - 97*i. Is 9 a factor of u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343 (base 8) in base 9?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6566.2 - -6566. Which is the second biggest value? (a) s (b) -5\/54 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9206 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/14 - (-213)\/21. Suppose t = u - 109. Let y = u - 44. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let u = x + -8. Put 4, u, -1 in ascending order.\nAnswer: u, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.36 + 1.36001297. What is d rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40268 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 8*q**2 + 2*q - 4. Let a be 3 - 45\/20 - 78\/8. Calculate the least common multiple of 1 and v(a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 10800.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-45)\/3 + -2). Let s = m + -11. Let f = 19 + -18.8. Which is the nearest to f? (a) 1\/4 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 9) to base 12\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-525)\/(-42) - 2\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 6*a**2 - 7*a + 2. Let t(v) = v**3 + 5*v**2 + 7*v - 1. Let h(s) = -2*t(s) - 3*u(s). Let d be h(-7). Sort -2, 2, d.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 3 + -4)*(-2 + 13172). Let o be (-6)\/(-1)*4*(-5)\/v. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 3. Let a be k(2). Solve 2*j = -4*h + 9 + 9, -a*h + j + 11 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*o - 37 + 37)*(o**3 + 2*o**3 + 2*o**3) to t*o**2 + k*o + h + w*o**4 + y*o**3 and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 2*b**2 + 2*b - 3. Let t(u) = -3*u**3 - 5*u**2 - 4*u + 7. Determine -7*n(d) - 3*t(d).\nAnswer: 2*d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 196 = 28*z, -8*z + 21 = -0*z - 5*z - 3*p for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 - 256.72. Round o to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 1584482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10787891 divided by 16\nAnswer: -10787891\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - 4*t + t + 3*t to the form z*t + m and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2431*c**4 + 4234*c**2.\nAnswer: -58344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28082*w**3 - 84*w - 105?\nAnswer: -168492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4899447708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:51 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-7)\/84)\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 less than -6538594.078?\nAnswer: -6538593.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.885093mm in micrometers?\nAnswer: 5885.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317768340 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n - 122 = -58*n. Calculate the remainder when n is divided by (-49)\/14 + (-276)\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1838243*p*r + 4*p + 26050212*r wrt p?\nAnswer: -1838243*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o - 3*s, -2*o - s = -6 - 0. Suppose 10 = 2*y + o*y. List the prime factors of (-1 - -11) + y\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 27. Let w be j(-3). Sort 19, w, -2 in decreasing order.\nAnswer: 19, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 55520 = -19800. Calculate the remainder when z is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/35)\/3)\/(1209\/18135).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 380689581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11951 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose 4*x + 0*x + 16 = a. Sort 2, x, 4 in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/5 + 28*k**4 + 124*k**3\/5 - 992*k**2\/5 - 1806*k\/5 - 828\/5 = 0?\nAnswer: -69, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 1. Let j = 36.9 - 39. Let t = -2 - j. Which is the nearest to t? (a) 1\/2 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*j**2 - 1)*(0*j + 0*j - 4*j)*(-2 - 4 + 4 - 2 + 3 - 3 + (4 - 4 - 1)*(-1 - 1 + 4) - 1 + 2 + 0 + 1 + 0 + 1).\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97.2 + -120. Let y = f - -66.6. Let d = -44 + y. Which is the closest to -0.1? (a) -0.3 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -10. Let k(q) = q**2 + 5*q - 4. Let i be k(v). Suppose 2*h - 238 = i*x, -h + 72 = 5*x - 23. What are the prime factors of h?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14155 by 1029.\nAnswer: -14155\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1\/3 (b) 4 (c) 3\/2 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5504 - -5494. What is the nearest to -5 in q, -0.3, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -70, -0.3, -0.4, -115?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3 + (-1)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 2. Let w be z(3). Let x = 1 + -1. Let i = w - x. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34567, -69208, -103983, -138958, -174199?\n\"Answer: -11*z**3 - z**2 - 34561*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-5\/2))**(-15)\/(((d*d**(4\/7)\/d)\/(d**0\/d*d))\/((d**(-2\/11)\/d)\/d**(5\/6))) assuming d is positive.\nAnswer: d**(-9260\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1. Let a(x) = 41*x**2 - 14*x - 9. Let z(c) = 46*c**2 - 15*c - 11. Let s(g) = -9*a(g) + 8*z(g). What is -6*p(u) - s(u)?\nAnswer: u**2 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11000 and -119\/8800.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-1)\/((-1)\/6). Let z(w) = -4*w + u*w - w**3 - 2*w + 10 + 8*w**2. Is z(8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(1*sqrt(2)))**2 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1245 - 2?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 21*q = 5*t + 1, -13 = 4*q - 3*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 - 24*w - 864.\nAnswer: -(w + 72)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57420 + 16?\nAnswer: 57436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = -13230 - 6354. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**5 + 3*k**5 + 4*k**5 + (-4*k**3 + 2*k**3 + 0*k**3)*(-4*k - 3*k + 3*k)*(0*k - 4*k + 2*k).\nAnswer: -14*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**4 + 28*u**2 - 4*u + 4. Let t(h) = 4*h**4 + 29*h**2 - 5*h + 5. Let q(d) = 5*c(d) - 4*t(d). What is the third derivative of q(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 + 164. Let v = t + 137.2. What is the third smallest value in v, -0.1, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9986153*a**2*u**3 - 2*a*u + 8396849*u**3 wrt a.\nAnswer: -19972306*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:43 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -129ab20c + 4?\nAnswer: -129ab208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 0, -402508, -4, 7 in increasing order.\nAnswer: -402508, -4, 0, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 3. Let h(k) = k - 2 + o + 3*k**2 + 2*k**2 - 4*k**2. Let u be h(2). Is u bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 846040080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -219 + 237 - (1 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2898\/11 + -264. Which is smaller: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b - 6. Let j(h) = 5*h + 12. Let g(c) = 6*c + 14. Let f(p) = 6*g(p) - 7*j(p). Determine z(f(u)).\nAnswer: 10*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3 + 17575305*m**2 + 15444558504495*m - 15444576079805 = 0.\nAnswer: -1757531, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42554, -85106, -127658, -170210, -212762, -255314?\nAnswer: -297866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1a - 355d?\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Let d be (-5)\/15*(-6 + 3). Let b = 4\/269 - -253\/1076. Put d, b, s, 0.5 in increasing order.\nAnswer: b, 0.5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4799*t + 81585. Let v be o(-17). Let w be 1 - 10\/(1 + 1). Which is the closest to 0? (a) v (b) -0.12 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7)\/(-28*18\/(-21168))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90602 divided by -45301.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 3*l**2 + l**2)*(-l - l + 0*l) + (-6 + 6 - 18)*(-3*l**3 + 5*l**3 - l**3) + 1 + 3*l**3 - 1.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 4, 375, 2\/7, 114?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.7. Let p = 2.8857 + -0.8857. What is the nearest to -3\/7 in x, p, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/41760122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/489130165?\nAnswer: -2\/489130165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, j: 1, z: 1, v: 1}. Give prob of sequence uv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o = -17*o + 4131127. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + ((-212)\/34)\/(-2). Sort x, 5, 3\/5 in increasing order.\nAnswer: x, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -16, -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from owxwxxoxoowoxox.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -453?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*j + 306 + 240*j**3 + 183 + 20*j - 3803*j**3 + 3*j**2 - 4*j**2 wrt j?\nAnswer: -21378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 131715.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999094.6758 minus 0.18?\nAnswer: 2999094.4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25117273591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + (-2 - (4 - -1)) + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/60 - u**2. Let c(b) = 9*b**2 + 14*b**2 - 43*b**2. Determine s(c(m)).\nAnswer: 400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307433.\nAnswer: 7, 37, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 + 1000200011?\nAnswer: 1000211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:33 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 + 10*j**2 - 3*j**3 + 1 - 11*j**2 - j**4 to the form p*j**4 + y*j + b + o*j**3 + k*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1168235, 1168222, 1168201, 1168172, 1168135?\n\"Answer: -4*n**2 - n + 1168240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a2aa2 + -25?\nAnswer: -28a3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdduduspdr. Give prob of sequence rup.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:10 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (-12 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 1. Let b(z) = z + 2. Let k(h) = -h - 3. Let a(l) = t*b(l) + 4*k(l). Let g(q) = -3*q. What is g(a(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*f**3*v**4 + 121*f**3*v - 2*f**2*v**2 + 16225*f*v**6 + 7*f*v + 4*v**2 + 3 wrt v?\nAnswer: 432*f**3*v + 1947000*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2656 divided by -664.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1\/3 (c) 2383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 1 c when three letters picked without replacement from zdczcrrzzy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220952 and 26452?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5877.227 times -57\nAnswer: -335001.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 0.2, 3\/2, -0.1, 1117 in ascending order.\nAnswer: -5\/6, -0.1, 0.2, 3\/2, 1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535466 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: Calculate the smallest common multiple of 2207562 and 28.\nAnswer: 4415124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j. Let h = 0.38 - 0.48. What is the closest to j in 0, h, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 != -255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 * 6.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 391935109 a multiple of 1658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**8\/840 - w**7\/180 + 7*w**6\/720 - w**5\/120 + w**4\/8 + 3*w**2. Let a(g) be the second derivative of x(g). Factor a(h).\nAnswer: (h - 1)*(2*h - 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -36. What is the remainder when 2*(4 - (-4 + (-303)\/6)) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 34, 107, 250, 487, 842, 1339, 2002?\n\"Answer: 4*r**3 - r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(1377)*-2 + 4)**2.\nAnswer: -720*sqrt(17) + 27620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2049080 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 37*x - 33. Let l be m(-19). Let k = 62 + l. What is the remainder when k is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 + 214. Let i(k) = k**3 - 10*k**2 + 18*k - 2. Let m be i(f). Solve 0 - 2\/17*v + 2\/17*v**m = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 23*s - 1. Let f(d) = 23*d - 1. Calculate -5*f(u) + 6*y(u).\nAnswer: 23*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x + 10*x + 6*x + 1 - 1 + 2*x + (-2*x - 3*x + 3*x)*(-4 + 3 + 0) + 2*x - 4*x + 4*x to m*x + w and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*p + 1)*(12 + 48 + 74) - 4 + 4 + 0*p - 23*p to u*p + t and give u.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86694.0105 + -86718. Let d = w + 24. What is d rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggllrrrlglglll. Give prob of picking 1 r and 2 l.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4710*q - 129607 = -440467 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/6*((-56)\/(-4) - 26). Is o not equal to 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(2)*-5)\/sqrt(9) - (sqrt(243) + 2 + sqrt(243))*-3)*-2.\nAnswer: -98*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -10 + 5 + -2 - -53. Let m be 2\/4*1*58. Let g = q - m. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 40, -19, -114, -257?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:06 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 12. Let a(n) = -1. Suppose 2*j - 3*g = 36, 0*j - 4*g + 20 = 3*j. What is j*a(l) + s(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 0.3 (c) 2\/93 (d) -2\/15 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/49, 1, -0.2, 3\/14 in ascending order.\nAnswer: -0.5, -0.2, 2\/49, 3\/14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10584 and 1912.\nAnswer: 2529576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 - ((-2 - -3) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (370\/111)\/(10\/12). Solve -10 = -v - s*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8354\/6 - (-2)\/3. Suppose 50*d + 7800 = 38*d. Let p = h + d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42876 divided by -4764\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5543130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 23*y - 42. Let s = -150 + 132. Is z(s) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -26, -57, -106, -179?\n\"Answer: -g**3 - 12*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from kkvuukkkvkkvkuvku.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -63.4, 1, 1.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + r - 7. Suppose -3*q - 5*y + 6 = 1, 2*q = -3*y + 3. What is j(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000086639 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 5*t - 2. Suppose 2*q = 3*q - 4*j + 3, -5*q + 4*j = 31. Let g = -2 - q. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l - 14. Let t = 4 + -1. Let v(z) = 4*z + 13 + 0 - t. Let n(u) = -3*u - 7. Determine l*n(f) + 5*v(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*m + 3*s - 7, 2*m = 2*s - 36. Let v = 78 + m. Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3 - 3*u**3 - 3*u - 7*u**2 + 5*u + 4*u**3. Let b be (8\/(-17 + 1))\/((-2)\/564). Let a = 147 - b. Give k(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/20 and 1\/3 - (-1 + (-209)\/495).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r + 445 = 0. Let l = r - -625\/7. Are -0.05 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 299 (c) 2\/1913\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 879 - 816. Calculate the highest common factor of 42 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(68) - sqrt(17)))**2 + -2 + 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219989 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*n - 428, 0*y = y - 2*n - 107. What are the prime factors of y?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.920666 millennia?\nAnswer: 1920.666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -19. Let o(w) be the third derivative of w**2 + 0*w + 0*w**3 + 0 + a*w**4 + 1\/30*w**5. Let n(i) = 3*i**2. Calculate o(n(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/117472 and -27\/298.\nAnswer: 17503328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 greater than or equal to 367\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rokkyvvcvvkokvc. What is prob of sequence rkv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 348 = -4*p, p + 0*p = 2*z - 172. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 23*x + 53. Which is the closest to 0.1? (a) x (b) -1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1777 + 1781. What is the highest common divisor of 122 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13902 and 0.133.\nAnswer: -13901.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4847360583.\nAnswer: 3, 13, 1489, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100) + sqrt(44)) + -4*sqrt(132)\/sqrt(3))\/((sqrt(16) - 2*sqrt(64)\/sqrt(4)) + (sqrt(1600)*-1 - sqrt(1600))).\nAnswer: -4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 + 7*h + 5. Let s be a(-4). Let v = -16 - s. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + -113)\/((-5)\/(-20)). Let a be (c\/546)\/((-4)\/14). Solve 26 = -5*o - 3*w, -2*w = a*w + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534, 532, 528, 522, 514, 504, 492?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32895 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -40, 44, 5, -2 in descending order.\nAnswer: 44, 5, 4, -1, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3131, 3099, 3067?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 611. Suppose -3*l - 2*l = -0*l. Is x(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.44 + -3.94. Let c = 1 - 3. What is the nearest to c in 5, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/289*3706\/2180.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83451, 83456, 83461?\nAnswer: 83466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u + 36*u = -56*u + 665 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -1 (c) -3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2615*q**3 - 5246*q**3 + 2627*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3180)\/11925)\/(((-448)\/36)\/7)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = -1. Calculate the least common multiple of b and 0 - (-4)\/(6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose -5*h - 2*w = -10, -6*h + 35 = -h - 3*w. Suppose 2*g - i = -3 + 5, h*g - 5*i = -2. Solve 3*r + 9 = v*b, 3*r - b + 9 = -g*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1592266 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 127032?\nAnswer: 635160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -20. Let j = 8 + d. Suppose 0 = -4*i + j + 10. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8760 divided by 4338?\nAnswer: -1460\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 5405751.\nAnswer: -22\/5405751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - (-3)\/(-27). Let v = 2090.3 + -2090.5. Which is the third biggest value? (a) 0 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 32. Let a(w) be the first derivative of 11*w**4\/2 - w**3\/3 + 7. Let r be a(b). Calculate the greatest common divisor of 147 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130313 (base 4) to base 11.\nAnswer: 142a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*b**4\/2 - 761*b**3\/4 - 401*b**2\/2 - 49*b\/4 + 17\/2 = 0. Calculate b.\nAnswer: -17, -1, -2\/7, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87755834.\nAnswer: 2, 43877917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24*4)\/((170665\/5778)\/(-319)).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162827321.\nAnswer: 19, 347, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/5, 0.1, -144?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:54 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h - 8. Let i be u(5). Let j(o) = -2*o - 1. Calculate the remainder when i\/2 + 7\/(-7) is divided by j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -367417, -367416, -367415, -367414?\n\"Answer: o - 367418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + 1. Let o(n) = 4*n**3 - n**2 + 12 - 28 + 16. Suppose r + 0*r = -3*v + 2, 0 = 2*v - 5*r - 7. Determine v*o(a) - l(a).\nAnswer: 3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 551 - 547. Suppose 8*h = w*h - h. Solve 0 = -h*b + 2*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**7\/1260 + n**6\/90 - 7*n**5\/180 + 19*n**3\/3 - 63*n - 1. Let l(t) be the second derivative of a(t). Factor l(p).\nAnswer: 2*p*(p - 1)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n - 4, -15 = -2*u - 5*n. Let f be 4\/6 - (-5 - -4). Let j be (-3)\/(-12) + (-3)\/44. Which is the closest to u? (a) f (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 15) to base 11.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 - 2607\/10. Sort -0.4, 0.5, w, -1\/5 in ascending order.\nAnswer: -0.4, -1\/5, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let b = 40852.014 + -40852. What is the smallest value in b, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14754 and 19336270.7?\nAnswer: 19321516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1919 - 1768. What is the third biggest value in 4, -2, g, -5\/2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 - 87*w + 21*w + 21*w + 21*w + 21*w.\nAnswer: -3*w - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077871 is divided by 404.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*r + 5*r = -364 - 464 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 35. What is the lowest common multiple of (300\/45)\/(5\/12) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73069 and 3.\nAnswer: -219207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5616) - ((sqrt(5616) - sqrt(5616)*2)*4 + sqrt(5616) - sqrt(5616)))\/(1*(sqrt(3) + -1*sqrt(3)*2)).\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5700 and 4523292.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*w**3\/5 + 1126795312*w**2\/5 + 1763427301550628*w - 391872744806760 = 0. What is w?\nAnswer: -15649935, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10764*v**2 + 56*v + 3165486 wrt v.\nAnswer: -21528*v + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*10*(987\/210 + (-1)\/(-10)) is divided by (28\/6)\/(4\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 17*v**2 - 13*v - 44. Determine i(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p - 3*z, 0 = 3*p + z + z - 25. Suppose -4*m + p*m - 25 = 0. Suppose -2*i + 15094 = s, -m*s = -s - i - 60403. Round s to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*h**2 - 102*h**2 - 94*h**2.\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + u - 1 = -5, -8 = 2*j - 2*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2 - 124*v + 240 = 0?\nAnswer: 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, -s = -2*i + 3*s. Solve i = -2*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 462*g + 3236. Determine c(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 3598356?\nAnswer: 21590136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.109 - 182.891. Let n = y + 202. Is -1 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + g = -7 + 29, -28 = -5*w - 4*g. Suppose w*o = -2*c + 214, 0 = 5*c - 0*c + 3*o - 500. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*(sqrt(64)\/sqrt(4) + sqrt(16)))\/(sqrt(16)\/(sqrt(8) - sqrt(2))*-3))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 143305345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033617921 rounded to seven dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101101 (base 2) in base 4?\nAnswer: -103231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 9) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 62.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-20))\/(21\/(-16))*343\/1862?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299*5.3042.\nAnswer: 1585.9558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**1)*l)**(-1\/24)\/(l*l**(-1))**(-2\/17))\/((l**0)**47)**(-3\/25) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -274.\nAnswer: 5\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.07 - 0.07. Let f = -3.8 + 3.7. Sort 2\/13, y, f, -2.\nAnswer: -2, f, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 - ((31 - -1) + -23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 divided by -712.\nAnswer: -281\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 - 9 = 0. Let i = 38 - 30. What is the greatest common factor of u and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 + 0*k**2 - 4*k**2)*(-6 - 3 + 3)*(-k - 2 + 2)*(3 - 2 - 2) to s + n*k**3 + c*k**2 + u*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 538.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130810 is divided by 32692?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 = -4. Suppose 9 + 756 = 17*q. Let g be ((-27)\/q)\/((-24)\/20). What is the biggest value in y, 15, g?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.1\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2370 - 2372.019. Let h = 0.101 - q. Let c = h - 2.1293. What is c rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -107*c. Let i(m) be the second derivative of m**5\/60 - m**3\/2 + m**2\/2 + 13*m - 10. Let g(q) be the second derivative of i(q). Give o(g(d)).\nAnswer: -214*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**3 + 9635*v**2 + 3317536*v + 1420032.\nAnswer: (v + 688)**2*(7*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 128, -2, 41086, 5 in decreasing order.\nAnswer: 41086, 128, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-u - 6*u + 2*u)*(-2 + 1 + 3 - 3 + 4 - 2 + (-6 + 1 + 2)*(0 + 2 + 1)).\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 7. Calculate x(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q - 120. Let t be j(52). Let h be 12\/(-54) + t\/72. Solve 0*x = -x + c - h, -4*c = -5*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m + 3 - 3 - 6*m in the form q*m + w and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28273680.\nAnswer: 2, 3, 5, 107, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 22*s - 3. Let d(w) = w - 8*w + 6*w. Let f(a) = -4*d(a) - k(a). Is f(-4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -466508, -933514, -1400520, -1867526?\n\"Answer: -467006*z + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -350 - -588. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 228*g - 226*g - 19 = 0, 2*t + 9 = g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167926725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**2 + 5*d. Let k(q) = 28*q**2 - 14*q. Give -14*f(l) - 5*k(l).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*w - 75, 33 + 40 = 4*d + w. What is the lowest common multiple of d and 228?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -58 + (7\/14 - (-6)\/4). Let a = -51 - l. Put a, 4, 1 in ascending order.\nAnswer: 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174.3444076 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -169*a + 172*a - 7, 5*i - 12 = 2*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*y + 11, 8 = -2*w - 0. Let c be (5\/110)\/(y\/(-2)). Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59903 divided by 12?\nAnswer: 59903\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -56. Let r(t) be the first derivative of t**2\/2 + 1. What are the prime factors of r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose -3*a - 3 + 15 = z. Let d = -3 + a. Solve -y + d = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**3 + 15*s**3 - 274*s**4 - 1314*s**4 - 3*s**2 - 1339*s**4 to the form y + l*s**3 + o*s**4 + x*s**2 + z*s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5539?\nAnswer: 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 + 24*l**2 + 6*l + 43. Determine h(13).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-8)*(-2*6\/12)\/6.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96.1 - 96. Which is the closest to -4? (a) o (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**5 + b**4 + 4*b**2 - b. Let l(y) = 11*y**5 + 44*y**4 - 135*y**3 - 1544*y**2 + 1606*y. Let h(u) = l(u) + 6*n(u). Find p, given that h(p) = 0.\nAnswer: -8, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -4, 2 in increasing order.\nAnswer: -4, 6\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043097 is divided by 475.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23232, -46463, -69696, -92931, -116168?\n\"Answer: -r**2 - 23228*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9 - 56\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:01 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1574 divide 1180226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 3*j + 3*j + (-4*j**2 - 4*j**2 + 7*j**2)*(0 - 1 - 1) - 5*j**2 + 0*j**2 - 12*j**2 - 7*j**2 + 10*j**2 + 18*j**2 as k*j**2 + s*j + f and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-11)*(-5 - -43)\/38.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -733099 and -0.2?\nAnswer: 146619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 6*i - 728. Calculate the highest common factor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from {j: 4, f: 5, h: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125*c**4 + 190 wrt c.\nAnswer: 500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-774)\/645)\/(4\/30). Let w(x) be the second derivative of -x**4\/12 - 4*x**3\/3 - x**2\/2 - 5*x. What is w(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979700 rounded to the nearest 100000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2323, -428 in increasing order.\nAnswer: -428, 3, 2323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 457820*t - 915644 = 0. Calculate t.\nAnswer: -2, 457822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75045, -75046, -75047, -75048?\n\"Answer: -o - 75044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*x. Suppose -15 = x*c - 6*c. Solve 2*l + c*u - 12 = 5, 0 = 2*l + 3*u - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-770703)\/(-8))\/((-117)\/(-2184)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = x - 4, -2 = -4*x - 2*f - 0*f. Suppose x = -5*v - 6 + 21. Suppose 3*t - v = 3*g + 12, 0 = 2*g + t - 5. Solve -8 = 5*y + 7, 2*r + y + 5 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22673350 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2274.\nAnswer: 18192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25231, 101045, 227443, 404425?\n\"Answer: 25292*n**2 - 62*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvmvmmmmmmvmmmmmm. What is prob of sequence mvmm?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 0.7, 4, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59867173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 1. Suppose -3 - 5 = -4*s. Suppose 3*h = -s*c + 8, 0*c + h + 2 = -3*c. Determine l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103139764 + -183475322. Let c = m - -27135558. Round c to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-290)\/(-725).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 142\/8 - (-27)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592731.1mm to meters.\nAnswer: 592.7311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 901 and 14893?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -65.7, 2\/3, -2\/589, -0.22?\nAnswer: -2\/589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-7)\/(126\/(-12))*(-348)\/3712.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 26 = m, -4*j - 58 - 10 = -3*m. Find the second derivative of m*d - 17*d - 4*d**2 + d**2 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z. Let t(q) = -17*q. Determine t(k(d)).\nAnswer: -136*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-92)*2*-1. Suppose 0 = 3*s + 357 - 6. Let w = -1286\/11 - s. Which is the second biggest value? (a) w (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 4627*n - 55 - 24 + 23 - 4601*n. What is the tens digit of i(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29b75 + 97?\nAnswer: -29abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24856 and 108506.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -s - 443, -4*s - 15*p - 1759 = -14*p. Is -440 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*b - 26, -2*s + 350*b - 179 = 313*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 9*t + 8. Calculate a(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/3, -5, -0.3, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 1\/120*j**6 + 7\/12*j**4 - 5*j**2 - 13\/60*j**5 + 0*j + 0 - 1\/3*j**3. Is c(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74 and 1180.\nAnswer: 43660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15761.43ms?\nAnswer: 0.2626905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 6. Let a be n(12). Let h = a - -20. Solve 2*r = 2*o - 2, -h*o - 2*r - 9 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28e + -d?\nAnswer: -29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.8562 years to centuries.\nAnswer: 0.288562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 137*x**3.\nAnswer: -137*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 0*c + 45*c - 4*c - 7*c - 33*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/15*-3*-5. Let d(h) = -h - 2. Let k be d(a). Suppose -3*l + l + 20 = k. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:52 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**3 - 3*z**2 + 5. Let l(s) = 10*s**3 - 2*s**2 + 4. Calculate 3*l(g) - 2*m(g).\nAnswer: 8*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-180630)\/(-20))\/27)\/(-6) - 7\/(-4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 48. Suppose 0 = -6*h - 28 - i. Is -7 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = r - 27 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -95.1, -2\/3 in decreasing order.\nAnswer: 2, -2\/3, -95.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 8\/7, -1\/7, -4, 3.\nAnswer: -4, -1\/7, -0.1, 8\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185.6 + 189.0382. What is k rounded to two dps?\nAnswer: 3.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/(-69))\/(-2)*168\/(-128).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxcmmmxx. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 + 790*n**4 - 32611*n + 1?\nAnswer: -60*n**3 + 9480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:13 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -3\/25100, -4 in descending order.\nAnswer: 68, -3\/25100, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1998 and 641736.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 894240 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11322030322021 - 32?\nAnswer: 11322030321323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiii when four letters picked without replacement from {v: 4, i: 4, u: 5, q: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 6:16 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/20 + a**4\/3 - a**3\/6 - a**2 + 67*a. Calculate j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1162 + 836 = 113*h. Calculate the remainder when (-1)\/((-2)\/34)*3 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 60 = 4*i, 0 = 47*l - 20*l + 46*i - 47*i + 324 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 - 28196*q - 422040 = 0.\nAnswer: -7034, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426198?\nAnswer: 2, 3, 251, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(22) + sqrt(66)\/sqrt(3))\/sqrt(11) + sqrt(2)) + 0.\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/5)*d)\/d*d*d**(8\/5)*(d**(5\/11)\/d)\/(d*d**27) assuming d is positive.\nAnswer: d**(-1328\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2)*-3) - (sqrt(684) + -1))*3.\nAnswer: -19*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 108. Let r = p - -37. Let s(v) = 2*v**2 + v. Give s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2. Let d(q) = q. Give a(d(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -942.3 - -944. Which is the third smallest value? (a) 0 (b) -5\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 17*j**2 - 7*j - 4. Let f(h) = -3*h**3 + 16*h**2 + 9*h + 4. Let v(p) = 5*f(p) + 6*n(p). What is the tens digit of v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from {n: 4, f: 4, a: 3, z: 6}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n = 69*n - 2*b - 8, 0 = -n + 3*b - 3. Sort n, 91, -6 in increasing order.\nAnswer: -6, n, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 8*n - 2. Let g be o(9). Let z = g - 4. What is the second derivative of 2 - x + 1 - z + x**5 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2336*b - 223. What is the hundreds digit of t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 1080, 1118, 1198, 1326, 1508, 1750, 2058?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51506938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1678942*p**5 - 5271*p**2 - 19*p + 12?\nAnswer: -100736520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/((-1)\/10). Suppose 10 = c - 5*s, 4*c + t*s = 5*s + 21. Suppose c*q - 24 = -9. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322934 + 4194023\/13. Let t = 317 + l. Which is greater: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23186987927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27131, -54203, -81261, -108305, -135335?\n\"Answer: 7*h**2 - 27093*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(c + 0 + 0) - 53*c - 2*c + 7*c + (-3*c - 1 + 1)*(1 + 0 - 2) + 0 + c + 0 as u*c + w and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162 or -5.409366?\nAnswer: -5.409366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) 0 (c) -5 (d) 0.2 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4, 2*p + 4*l = -3*p + 6. Let n be p\/(-5) - 12\/30. Suppose -2*g + 287 = -n*g - 5*m, -2*g = -m - 299. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 95. Let z = p - -38. Suppose 5*i + 2*b - 5*b = 24, -15 = -i + z*b. Let l(c) = -c**2 + 4. Calculate l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478b (base 16) in base 13?\nAnswer: 844b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -77 - (0 + (13 - 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 246*s - 3441. Calculate k(13).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3871, 7686, 11503, 15322, 19143, 22966, 26791?\nAnswer: 30618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286227901 and 10.\nAnswer: 2862279010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/56 + 28728\/1960 + 12\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8910)\/(-9315)*69\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 29*w**2 + 28*w - 28. Let o be b(28). What is the units digit of (-8464)\/(-14) + o\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 13*y**2 + 36*y + 29. Let g be j(-9). Let b = 25 + -47. Let t = b + g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 80758?\nAnswer: 242274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Suppose 3*v - 3*p = -9, -20 = 5*v - w*p + 7. Let o = v + 16. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3 - 3)*(-28 + 47 - 26) + 0*w + 3*w - 2*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*10)\/(152\/(-10260)*-45)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t**3 - 197270*t**2 + 4*t + 49171.\nAnswer: -36*t - 394540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 9:18 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117414 is divided by 39134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3 - 2911063*q**2 - 1566*q - 213.\nAnswer: 6*q - 5822126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-125))\/(5\/(225\/6))*(-3800)\/120?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12092739 by -416991.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25565\/(-9552) - 3896\/(-1461) and 52\/597.\nAnswer: 9552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319, -309, -293, -271, -243?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 8*y - 12. Let r be b(8). What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -178324*m. Let s(j) = 4*j**2. What is s(n(i))?\nAnswer: 127197795904*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j. Let f = 7 + -3. Suppose 2 = 3*h - f. Let a be u(h). Solve -1 + a = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 - 10 = 0. Solve -7*q = -s*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - 1) + 10)\/(-2). Let o = -3 - n. Differentiate 5 + 0*g**2 + g**o + 2*g**2 + 2*g**2 with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-90)\/16200*-2628.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*65\/26\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 554*v - 1. Let u be d(1). Find the common denominator of 1\/1 - u\/(-154) and 1\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12355 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -831492680 divided by -5?\nAnswer: 166298536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 + -1.98?\nAnswer: -332.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -1221*o**5\/5 - 2223*o**2 - 612*o - 3. Differentiate l(u) with respect to u.\nAnswer: -14652*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:47 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjbj when four letters picked without replacement from {b: 11, j: 5}.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -15, 1, 12 in descending order.\nAnswer: 20, 12, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z - z + 3*z + 0*z. Let u(n) = -n. Let b(m) = 4*m - m + 9*m - 4*m. Let q(s) = -2*b(s) - 22*u(s). Determine q(t(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47220670 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + (-2 - -4) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -8. Let z be (-2)\/2*1*i. Let n = z + 3. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14*(-1596)\/(-304)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 8562.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 3*d, 0 = -5*l + 5*d + 5. What is the closest to 0 in -2\/141, 1\/9, -0.2, l?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -3. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/11)*i\/(i**(-4\/9)\/i*i))**(-10) assuming i is positive.\nAnswer: i**(-2240\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377 + 9*o**2 - 9*o**2 - o**2.\nAnswer: -o**2 + 1377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*c = 48, 8*u + 5 = 6*u - 7*c + 29 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/2520 - 7*q**5\/12 + q**3\/3 + 71*q**2. Let o(y) be the third derivative of w(y). Let c(m) = 28*m**2. Determine o(c(l)).\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001178 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 10629?\nAnswer: 531450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 + 230 - 28*c**2 + 28*c**2 - 28*c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 692077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*q + 23 - 5, 4*g = 5*q - 16. Let i(t) = 21*t - 1. What is the tens digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 7*m**4\/4 + 2*m**3\/3 + m**2 + 2*m + 114. Let r(i) = 7*i**3 + 3*i**2 + 3*i + 3. Calculate -3*o(s) + 2*r(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 1241 + 869 - 3*d.\nAnswer: 3*d - 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {h: 5, l: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73366.08ug?\nAnswer: 0.07336608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:53 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 - 247*p**2 + 2*p**3 + 43 + 248*p**2)*(-6 + 14 + 2).\nAnswer: 70*p**3 + 10*p**2 + 430","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 125364 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.1, 3, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 737187821 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. What is the common denominator of ((-29)\/(-1))\/(5\/(-2)) and ((-24)\/(-7))\/(l\/(-2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-41 - 81*f + 41)*(-5*f + f + 2*f) + 4*f**2 + 5*f**2 + 4*f**2.\nAnswer: -311*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -98330 divided by -5\nAnswer: 19666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 14) to base 10.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 + 127. Put 2, -4, -1, y in ascending order.\nAnswer: -4, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 6)*(-44)\/3. Suppose 3*c - g = 119. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3481228 and 246?\nAnswer: 10443684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, k: 9, d: 4}. What is prob of picking 1 d and 2 k?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.60926 and -1.1.\nAnswer: 8.370186","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 11 + -21 - (0 - -7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.98?\nAnswer: -0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 26*w**2 - 47*w - 5. Is z(28) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-2730)\/3150)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 15*w**3 - 3*w**2 - 3*w - 1. Let u(d) = 5*d**2 + 5*d - 2. Let b be u(0). Let h(i) = -14*i**3 + 2*i**2 + 2*i + 1. Determine b*c(t) - 3*h(t).\nAnswer: 12*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-27))\/((-4)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4889, -4891, -4893, -4895?\nAnswer: -4897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 + 254976*i**2 + 509968*i = 0?\nAnswer: -2, 0, 63746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:08 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 8 + 4 - 749094*w**2.\nAnswer: -749094*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 18*q - 14. Let r be o(17). Solve -53*l**2 + 0*l**3 + 18*l**5 + 41*l**4 - 4*l**r + 28*l - 4 + 10*l**4 = 0.\nAnswer: -2, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211102 (base 3) to base 13\nAnswer: 7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/(f\/(f\/(f*f*f**(2\/5)))))\/(f*f**(-2)*f)**(-2\/3))**40 assuming f is positive.\nAnswer: f**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11726000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51063 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851533345.\nAnswer: 5, 13, 13100513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*y - 4*c, 4*c - 13 = -4*y - 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 58 = -32. Suppose 0 = 5*w + k - 38. Suppose p - 11 = -3*h, -3*h + w*h + p = 7. Solve 0 = n + n - h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 15*v + 21*v - 2*v - 60.\nAnswer: 3*v - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7980 and 30.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (2 - (5 + 4)) - (6 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*c + 394*c + 4*s = -50, -4*c - 40 = 2*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 479.6 (c) 5\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 499\/523 or 3\/14?\nAnswer: 499\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.6009 micrograms in nanograms?\nAnswer: 203600.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, x: 11}. Give prob of sequence xx.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 divide 923208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7542 is divided by 743.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - -68 - 68 - 2?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -82. Suppose t = 3*b + i, -5*b - 5*i = -87 + 7. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 - f**2 - f + 1. Let u be g(1). Let x be 4 - (-2)\/(0 - -2). Solve -u = x*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2292.278797 rounded to 1 decimal place?\nAnswer: -2292.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - 4 - (-158)\/12 and -35\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let t be d(-3). Let y = -4 - -3. Let f = 1\/2 + -5\/18. What is the nearest to 1\/4 in t, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (11 - 16 - -8) + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 208269 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 5*n - 5. Let h(v) = 7*v + 2*v + v - 1 - 11*v + 0*v + v**2. Give -5*h(l) + y(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7288209743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123820236 is divided by 2433.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4929 and 4650?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.04, -1\/2, 1609 in ascending order.\nAnswer: -2, -1\/2, 0.04, 1609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 37*k**2 - 4*k + 4. Let z be (-12)\/20*(-15)\/3. Let b be t(z). Suppose -3*a = -b + 40. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j. Let f(v) = 79784*v + 3. What is f(z(a))?\nAnswer: -319136*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293\/770 + 3\/154. Let d = -19 - -37\/2. Which is the nearest to 2\/7? (a) h (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 21*c**2 - 40*c - 15. Let l be z(-19). What is the greatest common factor of l and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -685483 divided by 79\nAnswer: -8677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let p(t) = 77*t**2. Determine p(i(r)).\nAnswer: 308*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 96\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Suppose 3*i - 1146 = -3*z, v*z - 1912 = -5*i + 3*z. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 413 = -211. Let d(p) = 36*p**2 + 24*p - 24. Let v(a) = -7*a**2 - 5*a + 5. Determine j*v(m) - 5*d(m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 322432819*p**2 + 405995227*p wrt p?\nAnswer: 644865638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8 + 99\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 5 - -3)*8\/2. What is the tens digit of (-106)\/(((-12)\/c)\/((-6)\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.24 + 6. Which is the fourth smallest value? (a) -1\/5 (b) 0 (c) 1\/7 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244.0908 microseconds to hours.\nAnswer: 0.000000067803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 divided by -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from {z: 11, d: 2, s: 7}.\nAnswer: 77\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 + 100*h**2 + 213*h + 3. Give p(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221\/5 + -218\/5. Which is the nearest to 2\/101? (a) -2 (b) 0 (c) k (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.035, 46\/11, 1\/4, 3 in ascending order.\nAnswer: 0.035, 1\/4, 3, 46\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1437 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 + 11*t**2 + 3*t + 3. Let b(s) = 6*s**3 + 11*s**2 + 4*s + 4. Determine 3*b(q) - 4*d(q).\nAnswer: -2*q**3 - 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 6*c - 8*c - 11*c.\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.65 + 43.65. Which is the fifth biggest value? (a) 57 (b) 1 (c) -0.05 (d) -2\/11 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(((sqrt(240) - (sqrt(240) - (sqrt(240) - 1*sqrt(240)))) + sqrt(240))\/sqrt(4) + -5*2*sqrt(60)))\/(1*sqrt(48)\/(sqrt(12)\/sqrt(3)*-1)) + 0.\nAnswer: -27*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5648084329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44730045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + 2*t)*(-2*t - 4 + 4) - 2 + 3*t**2 + 2 + 3*t**2 + 57*t - 57*t + 2*t**2 - 3*t**2 + 0*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -867648014*g**2 + 1046339047 wrt g?\nAnswer: -1735296028*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 8 (b) 3 (c) -3\/5 (d) -11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*l + 70*l + 155*l + 133*l - 13*l to the form k + r*l and give r.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 6*v - 3. Let t = -90 - -85. Determine q(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-53)\/2)\/((-4)\/8). Suppose -v - 7 = -2*x + 2*v, -4*x + 18 = -2*v. Suppose 52 = x*z - i. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 16*k**2)*(0 - 2 + 3) as g*k + v*k**2 + d and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33642109 + 0?\nAnswer: -33642109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16218975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s - 1068. Let o = 920 - 316. Let l = o - s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14\/9)*a*a*a*a*a**(-1\/2))\/(a*(a\/(a*(a\/(a\/(a\/(a*(a\/a**(-1\/7))\/a))))\/a))\/a)**(14\/9) assuming a is positive.\nAnswer: a**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580988193.\nAnswer: 389, 4064237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8914403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 25*q**4\/3 + 179*q**2 + 3*q - 61. Find the first derivative of l(o) wrt o.\nAnswer: 200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-1)\/12*(-732)\/54900*12\/4.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9986 + -18306.2554.\nAnswer: -28292.2554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 22 + 13 - 4 - 21.\nAnswer: 2*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/24 + 2*o**4\/3 - 7*o**3\/6 + 15*o**2 + 7*o. Let v(c) = -3*c**3 + 8*c - 4. Give 4*p(m) - 7*v(m).\nAnswer: m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u = -2. Let r(o) = -o**3 - 1. Let d(k) = -95*k**3 - 40*k**2 + 75*k + 30. Let j(x) = u*d(x) + 15*r(x). Factor j(w).\nAnswer: 5*(w - 1)*(4*w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = x + 13, 10 = -2*x - 3*x - 4*t. Let p = 6451 + -6456. Put x, -2, p in ascending order.\nAnswer: p, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-15)\/(345\/(-23)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Let i = -3.72 - 0.08. Let o = -0.2 + i. Sort -1, o, n in ascending order.\nAnswer: o, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 172*t + 4375 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 - 3*z - 5. Let c be d(-4). Let m = 15 - 9. Let q be m\/21 - (-5)\/c. Is 3 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, -2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j**2 + 3*j**2 + 0*j**2. Let y(a) be the third derivative of 0*a + 1\/12*a**4 - 3*a**2 + 0*a**3 + 0. What is y(i(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*p - 4)*(-2*p**2 - p + 5 + 3 + 4*p**2).\nAnswer: -4*p**3 + 2*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40416, 161449, 363102, 645375?\n\"Answer: 40310*i**2 + 103*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 7 - (-36)\/(-16). Let v = g - -1\/2. What is the nearest to v in 0.1, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*x - 13, -h + 12 = -5*x + 2. Let v = 5 + h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 767\/5 + -153. What is the second biggest value in -5, 1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(0*y**2 - y**2 - y**2) - 1 - 4*y**2 - y**2 + 8*y**2.\nAnswer: 5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**5 - 4*h**4 - 4*h**2 - 11*h + 4. Let i(m) = m**5 - m**4 - m**2 - m + 1. Let n(l) = f(l) - 4*i(l). What is the second derivative of n(s) wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-42))\/(((-45)\/5)\/351)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/246522174 and -151\/18.\nAnswer: 739566522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let p be ((-6)\/(-15))\/(g\/30). Solve 0 = 3*x + p - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2497.1769 to the nearest integer.\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290*a**2 + 31*a - 1?\nAnswer: -580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + 9 - (1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -27. Solve -4*g + 3*d + c = 0, -3*g - 5 + 11 = d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/47333 and -64\/65.\nAnswer: 236665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31313 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 394 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 - 9*m - 10. Let n be x(-7). Let t(z) = z**2 + 11*z - 9. Let a be t(-12). Solve -7 + n = a*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -259? (a) -3 (b) -3\/4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*u**2 + 123*u**2 - 68*u**2 + 11*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*g**4 - g**3 - 21*g**2 - 19925 wrt g.\nAnswer: 300*g**3 - 3*g**2 - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 26601264, -2\/21.\nAnswer: -0.4, -2\/21, 26601264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.11, -228695.\nAnswer: -228695, 0.11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000044228 rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -444, -456, -468, -480, -492, -504?\n\"Answer: -12*w - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 76. Let b(q) be the second derivative of 29*q**4\/12 - q**3\/6 - q**2\/2 - 2*q. What is the units digit of b(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643770822 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from {g: 3, m: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16142 is divided by 5195?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.5975g in nanograms?\nAnswer: 242597500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1060400 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c + 7. Let s(i) = 92 - 157 + 64. Give -5*s(o) - v(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1285854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16613?\nAnswer: 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 2*r + 2. Let k(i) = -103554*i**2 + 8*i + 10. Let o(n) = k(n) - 5*y(n). Let v be o(2). What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 108716504 divided by -104\nAnswer: -1045351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*c**2 + 1 - 40846*c**3 + 40845*c**3 - 2 - c to g*c**3 + l*c**2 + b*c + m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 12:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1271937, 1271936, 1271935, 1271934, 1271933, 1271932?\nAnswer: 1271931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127113420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1013, -1962, -2911, -3860, -4809, -5758?\nAnswer: -6707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12494 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 + 49*m + 86. Determine w(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.16 and 0.049?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 9 = -3*u. Suppose -5*o - 5 = -3*r, -2*o - u*r = -0*o - 19. Calculate the lowest common multiple of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 8a4?\nAnswer: -8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 66656.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31895\/21 - 1519. Which is the fourth smallest value? (a) 0.3 (b) 18 (c) -3 (d) -0.4 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88))\/sqrt(8) + (sqrt(440)\/sqrt(8))\/sqrt(5) + sqrt(11) + ((sqrt(77)*2)\/sqrt(7) - (sqrt(11) - (-1 + sqrt(1100) - sqrt(1100)))))**2.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 166\/12 + 1\/6. Let t(l) be the third derivative of -l**5\/60 + 7*l**4\/12 + l**3\/3 - 4*l**2. Let u be t(b). Solve -u = -m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-884)\/(-455) - 30\/(-150)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 226173698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23 and -803660609784?\nAnswer: 803660609807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*z - 12 = -0, -47 = -3*u - 4*z. Suppose -2*y = -t - 3*t + 20, 4*y - 25 = -5*t. What is the remainder when u is divided by -6 + 4 + y + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 18*x + 4422. List the prime factors of x.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 8*l - 120. Let o = l + 16. Find the third derivative of -26*m**o + 41*m**4 + 11*m**2 - 24*m**4 wrt m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28620, 26530, 24440?\n\"Answer: -2090*f + 30710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71229314243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 7*w**2 + 4*w + 2. Let f be v(-6). Suppose -f*o = -12*o - 36. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - 10000001101?\nAnswer: -1111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 11. Suppose -o*b + 5*b + 10 = 0. Suppose -4*v = 4*w - w - 13, -5*w + b = 5*v. What is the smallest common multiple of 2 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17285 and 439.42.\nAnswer: 17724.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 5*j. Let m be u(4). Suppose 9 = -2*y + 3*o, m*o = -0*y - y + 1. Let k be -1 + (y\/21 - -1). What is the biggest value in -5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 8 = 5*v. What is the closest to v in 0, 1\/5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1233?\nAnswer: -1233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -46. Suppose -f - j = -2*i - i, 0 = -3*f - 4*i - 7. Let m(d) = 5*d**2 + 3*d + 14. Is 31 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255741 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3870508320?\nAnswer: 3870508320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5218174670 - -5217945590.1927. Let x = -229063 - g. Let s = -16.8 + x. Round s to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-52))\/(2\/((-8)\/6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -3 - -1 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 12003560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413517398 to the power of 1\/2, to the nearest integer?\nAnswer: 58425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 - 60. List the prime factors of i.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 5\/6*x**3 + 0 + x - x**2. Is n(6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 488\/(-48) - 2\/(-12). Put j, -1, -3 in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13673*a*y**3 + 49*a + y**2 - 36 wrt y.\nAnswer: 82038*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.04987135.\nAnswer: 0.024935675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 2*x)*(2 - 4 + 4) + 87 + 3*x + 6*x - 79.\nAnswer: 13*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*((i\/(i\/(i\/((i*i**(1\/17)*i)\/i))))\/i)\/i))\/i**0)\/(i*i\/i**(2\/5))**34 assuming i is positive.\nAnswer: i**(-4364\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12) - 7\/(-3). Suppose -c + 3*c = -t - q, -9 = 3*c. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7201 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-7*(-4)\/70?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.47 - 0.32. Let j = x - -18.85. Let c = j - 17. Are -3 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -48, 0, 468 in descending order.\nAnswer: 468, 25, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 25*q + 3 - 3 + 0 to the form z + x*q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.056, -3, -2\/3, 4, 3\/4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351626 to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2088, 0, 0.34, 2\/185?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12449, -12442, -12433, -12422, -12409, -12394?\n\"Answer: v**2 + 4*v - 12454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1800 + -12556\/7. Let g = -1906001\/10 + 192296. Let k = g - 1693. Calculate the common denominator of k and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -9968, -26278, -49102, -78434, -114268?\nAnswer: -156598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 12*a. Suppose a = -n + 1, c + 2 - 3 = n. Suppose -h - 169 = -5*w, -2*w + 4*h + 74 = c*h. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 3 - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from jhtj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f. Let u(n) = -27*n**3 - 2*n**2 + 3*n - 71. Let w(m) = -3*g(m) + u(m). What is the first derivative of w(r) wrt r?\nAnswer: -72*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5642 - -5649.672. Round j to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3556 and 21294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 22, 771, -3, -1, 1\/12, -1\/5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 16 = 5*g, -6*g = -3*p - 4*g + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*h + 3*u + 6, 29 = -4*h + 3*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*-1*(-2)\/(-2). Let v(q) = q + 14. Calculate the least common multiple of v(m) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 1, b: 1, s: 2}. What is prob of sequence sbq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 5*p**2 + 3*p**3 + 4*p**2 + 0*p**3 + 82*p - 9*p**2 in the form r + h*p**2 + o*p + l*p**3 + i*p**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (sqrt(216)\/sqrt(12) - sqrt(18)*3).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1003 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = -2*w, p = -3*w - 3*p + 5. Let a = -71 + 354\/5. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 46. Let c(a) = -9 + a + 16 - d*a. Let q be c(3). Solve -4*b - q + 0 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 212499927175.\nAnswer: 212499927172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7988337481.\nAnswer: 37, 215901013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 4, r: 5, o: 1, u: 5}. Give prob of sequence fp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53645955 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 783981.4 decades in millennia?\nAnswer: 7839.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = q - 3*m, -119*m = -q - 121*m + 38. Let v(g) = 10*g**2 + 6*g - 10. What is the remainder when v(-7) is divided by q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from hyyhyhhhyhh?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -2)*(2 - 24). Let z = 35 + x. What is the units digit of 68 + z*1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 81\/(-18)*8\/6. Let y = 9 + s. Suppose y*r - 30 = 6. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 9 - 4*r**2 + 2*r + 1 + 5*r - 2*r**2. What is the units digit of l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -4 - (-22 - -22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1264600 to the nearest ten thousand.\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 7. Let q = -9 - -15. Let k be m(q). Which is the closest to 0? (a) 1 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(51)*1)\/sqrt(3) + sqrt(272)*4))**2.\nAnswer: 44217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -11)\/((-4)\/7). Suppose h*c + 4 = 9*c. Let w(i) = -3*i + 4. Let y be w(-7). Solve -c*p + 5*q + y = 3*p, 4*p + 2*q = 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66337571 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*j + 26 = 0, 3*j + 28 = -s + 9*j for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*d**3 + 91*d**3 + 5*d**3 - 61*d**3.\nAnswer: 164*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-3)*(-2574)\/(-88). What is the greatest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -3 - 4) + 4 + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4249\/(-3035))\/(308\/(-10))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10)*-2*-4) - ((-2*sqrt(231))\/sqrt(11))\/sqrt(3).\nAnswer: 17*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - -8. Let w = r + -26. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790054.\nAnswer: 2, 395027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 790991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11033565?\nAnswer: 3, 5, 735571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - 31*z + 35*z - 18, 2*z - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b + b)*(12 - 11*b - 12) - 29*b**2 - b**2 - 4*b**2.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/2)*(-16 - -22). Suppose -g + 22 = -o + 3, 0 = g + 4*o - c. Solve -i + 0*i + 7 = 5*h, g = -4*i + 2*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99360 and 64860.\nAnswer: 4669920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/100, -2\/101, 1\/5, -1\/2 in descending order.\nAnswer: 1\/5, -2\/101, -3\/100, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1470 and 588.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 31*a + 27. Let i be v(-30). Let t(h) = -21*h**3 - 20*h**2 + 1. Calculate the remainder when t(i) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 + 203 - (0 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. What is b(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000780086 rounded to 5 dps?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 6, i: 3}. What is prob of picking 2 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -121, -99, -73, -43, -9?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g**2 + 0*g**2)*(-12 - 6 - 18 + 36 - 2005*g**2).\nAnswer: -4010*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 4:28 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 - 5*p**2 + 121*p + 69. Let y be v(-17). Suppose -64\/5 + 96\/5*z + 4\/5*z**3 - 36\/5*z**y = 0. Calculate z.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 599 - 9 - 2*y**2 + 27 to the form o + z*y + g*y**2 and give o.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, 10622, -1, 12.\nAnswer: -3, -1, 0, 3, 12, 10622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 + 2 - -1). Let g(c) = -1 + 2*c - 3 + b*c - 4*c - 5*c**2. Let k(h) be the first derivative of h**3\/3 + h - 1. Calculate g(w) + 4*k(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, r: 7, d: 2, n: 5}. Give prob of picking 1 d and 3 g.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlwl when four letters picked without replacement from lwwlwwwllwllwlww?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8762*p - 8762*p - 6*f = -24, p + 38 = 4*f for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.28934 + 0.28934. Sort 2, 0.02, 4.6, y in decreasing order.\nAnswer: 4.6, 2, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30771918 a multiple of 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 95*l**2 + 2*l - 1. Let w be r(1). Let b = w - -40. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**3\/3 - 11*u**2 - 36*u + 6. Let o be d(24). Let r be 11\/4 - (-5)\/20. Solve -s = 0, s + r = -3*b + o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and (-21)\/2*-4*24\/(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-2010)\/(-100) - 11)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127420\/9, -0.4, -4, 1.2 in decreasing order.\nAnswer: 1.2, -0.4, -4, -127420\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1225, -822, -421, -22, 375?\n\"Answer: -m**2 + 406*m - 1630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -494, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/55)\/h**(-5) assuming h is positive.\nAnswer: h**(277\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 34. Let z = -17.964 - l. Round z to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*n**2 - 1121*b*n + 3615*b - n**2 - 377 wrt n?\nAnswer: -10*b*n - 1121*b - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.1. Let t = 0.2 - 4.2. What is the nearest to 1 in -1, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3*30\/(-4). Let b = 12 + c. Solve -v + b = -2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-126)\/(-12))\/(-7))\/(10\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 582.31 + 6852.99. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15523494, -31046999, -46570506, -62094015, -77617526, -93141039, -108664554?\nAnswer: -124188071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7*c - 9. Let j be (6000 - 0)*(-100)\/c. Round j to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(48\/20)*120\/50?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:49 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -129\/7 (b) -20 (c) 33287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 120 + 122 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*h - 38507 - 17623 - 362 = 462*h for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -44. Let o(s) = s**2 + 11*s + 6. Let p be o(k). Suppose -p*r + 16*r + 6 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 11 = -i, r - 6*i = -10*i - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*x - 60*x + 4995 = 0. Solve -3*j = 5*p - 16 + 1, -x = p - 3*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {e: 11, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/1080 - w**5\/180 + w**3\/3 + 3*w**2. Let z(y) be the first derivative of r(y). Factor z(k).\nAnswer: -k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 4, -633329, 0 in decreasing order.\nAnswer: 4, 0, -4, -11, -633329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22786 - 21858. What is the smallest common multiple of 336 and c?\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neeneneennennnenenen. Give prob of picking 1 n and 1 e.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*r + 269 = 126*r + 5 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*y - 10*y + 4*y to the form m*y + f and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1100111101020 (base 3) to base 5\nAnswer: 140441331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33 (b) 2\/1191 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1944\/(-45) - ((-10)\/2 - -7))*-955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-5))\/((-2)\/(-2)*1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1091*2\/8 + 6\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/80 + 2649*j**5\/40 + 219453*j**4\/2 + 438244*j**3 - 2*j**2 + 516*j + 4. Let x(p) = 0. What is p?\nAnswer: -1324, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:52 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 65*s + 2. Let w(g) be the second derivative of -g**5\/60 - 8*g**3\/3 + g**2 + 17*g. Let a(z) be the second derivative of w(z). Calculate a(q(d)).\nAnswer: -130*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, w: 7}. Give prob of picking 2 w.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.2 - -7. What is the smallest value in u, 8, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75122.\nAnswer: 2, 37561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let z(m) = m**3 + 5*m**2 + 3*m + 3. Give z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 631771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2. Let m(r) = -318 - 15*r + 85 + 81 + 43. Give m(u(i)).\nAnswer: -30*i**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 148. List the prime factors of b.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8522 - -2?\nAnswer: -8520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + r - 86 = -r, 2*p - 5*r = 172. Suppose -26 - p = -4*v. Calculate the remainder when 81 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + r = -5, 45*r - 43*r = -m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274411 = 5*l + 4*g, -109765 = -2*l - 0*l - g. Suppose 19380 = -5*j + 3*t + l, -3*j - 2*t = -21298. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/4)\/((-13)\/(-26)). Let t = 3.7 - -7.3. What is the third biggest value in y, 2, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - (2 - 4) - (-199 - -187).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440462918 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 1 (c) -1874 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -102*s + 248. Give b(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let o(y) = -y - 3*y + 4*y + 9*y**2. Give o(u(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)\/k)**26*(k**(-2\/5))**(-2\/27))**(-30) assuming k is positive.\nAnswer: k**(2332\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 172\/(-20) - 3\/(-5). Let w(k) = -15*k - 9. Let v(o) = -10*o - 6. Let r(j) = 7*v(j) - 5*w(j). Let l(h) = 14*h + 8. Determine b*r(m) + 3*l(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from {z: 1, c: 1, p: 1, v: 1, a: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 2. Let d be (-59)\/o + (-3)\/(-42)*-6. Suppose 8*n - 1488 = -d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 19*d**4\/2 - 5*d**3\/3 + 125*d**2 - 485. Find the second derivative of l(g) wrt g.\nAnswer: 228*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -75. Let s be m - -3 - 56\/20. Which is the closest to -32? (a) -2\/7 (b) s (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(((sqrt(65) - (sqrt(65) + (sqrt(65)*3 - sqrt(65)) + sqrt(65)))*-2 + sqrt(65))\/sqrt(5)*5 + 0)*-4.\nAnswer: -420*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*m**2 + 1510*m - 1236 = 0 for m.\nAnswer: 1, 618\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2.8 (b) -2\/3 (c) -0.2 (d) -31 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:29 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/(50\/(-225)). Let z(g) = g**3 - 2*g**2 - 2*g + 3. Let j be z(3). Solve -3*v + x*v - j = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73848 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 16 + ((-194)\/34)\/((-139)\/(-417))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 150 - 15 = 0. Calculate the greatest common factor of h and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 7*a**2 - 10*a + 12. What is t(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310212002302 - 1?\nAnswer: 310212002301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 2270*o**2 + 301920*o + 9571680.\nAnswer: 5*(o + 46)*(o + 204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x - 6*x - 17*x - 10*x - 3*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24186*f**3*z - 7*f**2 + 376*z + 2 wrt f?\nAnswer: 145116*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose 3*x - 6 = f, -4*x - 37 = 3*j + 2*j. Is (9 + -2)\/((-3)\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 499521, 498388, 496499, 493854, 490453, 486296, 481383?\n\"Answer: -378*i**2 + i + 499898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 1\/24*c**4 - 1\/6*c**3 + 7*c + 0 - 15\/2*c**2. Let o(f) be the first derivative of t(f). Give o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (-1)\/2)*208 is divided by (4 - 2) + (96\/12 - -12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7140.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 12*p - 4. Let g be h(-12). Let w be g*((-13)\/4 + 2). Does 7 divide w\/(-15) + (-170)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 31)\/(-2*2\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 459646985*g**2 + 1406171989 wrt g?\nAnswer: 919293970*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose -9 = w + 2*w, 0 = -2*s + x*w + 25. Suppose -20 = -s*m + 2*b, -m + 4*b + 11 + 11 = 0. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 33. Let o be k(-19). Solve -5*u - 36 - 1 = -3*z, 0 = -o*z + 2*u + 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 - 222 = -14*u. Let n(k) = 39*k - 5. Determine n(u).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 - 387 - (-3 + 8 - (-4 + 2 - -4))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 907.38 - -13.62. Let b = 921.5 - g. Let q = -7.7 + 8. Put -1, 1\/6, b, q in descending order.\nAnswer: b, q, 1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(2 - 3)*(1 - -2). What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.10961147 + 137.806.\nAnswer: 134.69638853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8540)\/26901)\/(75\/35)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**4 - w**4 + w**4)*(4 + 3 - 5) + (5*w**2 + 13*w**2 - 25*w**2)*(-15*w - 6*w**2 + 15*w) to the form z*w + p*w**4 + u*w**3 + x*w**2 + q and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -1.4. Let j(b) = b**3 - b**2 - 6. Let h be j(4). Let z = 42 - h. What is the nearest to z in q, -4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240\/7*n**2 - 3\/7*n**4 + 57\/7*n**3 - 300\/7*n + 0 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(50\/16))\/(1\/(-5)). Let l(o) = -2*o + 14. What is the lowest common multiple of l(r) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 134397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*a + 60 - 25, -38 = -3*a - x. Suppose d + a = 3*w + 2*d, 3*d - 12 = 0. Suppose -5*m - 3*s = -5962, -w*m + s + 5217 - 1637 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 553.6521 litres?\nAnswer: 553652.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/(-7 + (15 - 3) + 1892\/(-380))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1284 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfffflf. What is prob of picking 1 l and 3 f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1429*u - 4584. Calculate z(-3).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 33. Let d = 21 - l. Suppose -d*p - 3 = -f - 0*f, -3*f = -5*p - 9. Solve p = 3*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 175*q**2 + 987*q + 4563.\nAnswer: (q - 169)*(q - 9)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 29288*u**2 - 2928803*u + 294. Calculate p(100).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/13, -67, 2\/59 in descending order.\nAnswer: 2\/13, 2\/59, -2\/3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) + 4*sqrt(10))*1 - (3*sqrt(1210) + sqrt(1210) + sqrt(1210)))\/(sqrt(20)\/sqrt(810) + 4*sqrt(8)\/sqrt(4)))**2.\nAnswer: 1012500\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33534)\/2898*210\/135?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2728396, 5457427, 8186456, 10915483, 13644508, 16373531, 19102552?\nAnswer: 21831571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7\/2*(-18)\/42).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 6. Let l be (2\/(-1))\/(s\/(-21)). Suppose -2*z - l = -3*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {o: 1, h: 6, u: 4, x: 2, q: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1459, 1468, 1487, 1522, 1579?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 + -24?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15)\/(x*x**(-21)) assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2830 and 48?\nAnswer: 67920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 12:57 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4027 = -323. Let z = 729 - m. Solve -z*x - 18 = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-2*n - 2*n + 3*n) - 834*n - 10073*n - 3210*n + 818*n - 29*n.\nAnswer: -13329*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 941 + -461. Let o = -318 + r. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h. Let s(r) = r**2 + 1173*r + 1171*r + 1171*r + 1173*r - 4692*r. Suppose 5*k + 17 = f, -20 - 4 = 3*k + 4*f. Calculate k*v(a) + 5*s(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-27\/4))*z)**(-1\/8)\/((((z*z**13*z)\/z*z)\/z)\/z)**(-1\/14) assuming z is positive.\nAnswer: z**(369\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19638 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: Is 38051 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*q, -3*q = 4*j - 0*q + 3. Suppose 3*n = -0*w + 3*w - 15, -7 = -w + j*n. Solve 5*y + 29 = 2*v - 6*v, -w*y - 23 = 3*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 744\/7 - 3664\/35. Find w such that 32\/5*w + 12\/5*w**2 - g*w**3 + 16\/5 - 4\/5*w**4 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227041 divided by 26.\nAnswer: -227041\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/3 + v**3\/6 - v**2\/2 - 2*v. Let n be x(1). Calculate the smallest common multiple of 10 and n*(0 - (-15)\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c + 111*c = -12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -607900*r**3*t - 2719*r*t - 2*r + 67*t wrt r.\nAnswer: -3647400*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 3. Suppose 2*u + 5 = -w + 17, 2*u - 52 = -5*w. Suppose 0 = -11*f + 12*f - w. Let i be (-9)\/(-5) - f\/(-50). Calculate t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 7*i + 4. Let z be t(-7). Let y be (-3)\/((-18)\/4)*6. Suppose 0 = -y*n + 4*f + 40, -9 = -3*f + 6. Solve -z*v = -v - n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - (0 - (-3 - -3)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 13*l**2 - 23*l - 3. Calculate m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 140*f**5 + 73*f**2\/2 + 6*f - 825. What is the second derivative of g(r) wrt r?\nAnswer: 8400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -35*v + 787. What is the remainder when 485 is divided by l(18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -13*d + 56, -37*a = 3*d - 39*a - 14. Suppose 0 = -3*l - 0*l - 3. Sort l, d, 1, 0 in decreasing order.\nAnswer: d, 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 152?\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 901 = -0*c + 2*c, -2*i = -3*c - 1349. Let w = 3157 + c. What is the hundreds digit of 14\/(-91) + w\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*u + 13870632 = 13856835 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10)*(-15)\/(-9). Let a be (5 - (-155310)\/(-25113)) + -1 + 2. Let i = -2\/761 - a. What is the nearest to 1 in 5, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*30*108\/180 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1*(-11)\/(-44)) - 108\/12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 158? (a) -8 (b) -0.2 (c) -3 (d) 1\/4 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 11, l: 1}. Give prob of sequence xixi.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i - 30837 = -1700*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35479?\nAnswer: 17, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 3009 = 0. Suppose -4*m = -505 - h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.1 - -19. Suppose -8*s + 4*s + 12 = 0. Let l(d) = 4*d - 1. Let k be l(s). Which is the closest to n? (a) -1\/2 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 20*f - 3. Let o be z(14). Suppose 0 = 5*d - o + 31. Let v(j) = 4*j - 26. Let r be v(d). What is the highest common factor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7009829?\nAnswer: 397, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 663 + -437. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00075216686 to five decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 46*t**2 + 7977*t + 60. Calculate m(-174).\nAnswer: 4758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**3 - o**2 - 2*o + 2. Let w be 2\/(-4) - 28\/(-8). Let s be b(w). Calculate the greatest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160 = -123*u - 93*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-10))\/(-1))\/(1\/(-1))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 4*f)*(3 - 3 + 3*f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7 - 2 - 3*a - 4. Let n be t(2). Put n, 0, 1 in decreasing order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 18*i + i)*(-6*i**2 + 2*i**2 + 3*i**2).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -9 (c) 1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from pppuppzfzpfppt?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 1, d: 8, g: 2, s: 2}. Give prob of sequence ddw.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473 divided by -34.\nAnswer: 473\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*h - 30*h = 0. Which is the closest to 3? (a) h (b) -0.6 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -75) + -9587 + 9518.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 21 = 9. Let l(g) = -g**3 - 9*g**2 - 8*g + 4. Let s be l(-8). Let t(f) = -h + s + f - 1. Let p(q) = -q. Give t(p(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1059300*z**2. Let d(v) = -2*v**2. Calculate d(l(u)).\nAnswer: -2244232980000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 549 - 711. What is the highest common factor of p and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440 + r**2 - 2*r**2 - 381.\nAnswer: -r**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -429 in 1, 0.5, 3\/56000?\nAnswer: 3\/56000","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(2*sqrt(99)))**2 + -5)*5.\nAnswer: -875\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*c + 4*y, -3 = -c + 2*y - 4*y. Is (-1056)\/(-55) - (-1)\/c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 128*d**2 + 130*d + 82. Let p be j(-65). Is p <= 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.000098 + 90. What is o rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 112 = -7*b. Suppose 80 = 3*x - 4*i, b*x = 2*x - i + 95. What is the derivative of -578*l**2 - x - 8 + 618*l**2 wrt l?\nAnswer: 80*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15333, -15330, -15327, -15324, -15321?\nAnswer: -15318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153942 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1461 + -1458. Solve -3*b + 12 = -z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12457 times 6.353\nAnswer: -0.79139321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 652612992 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -13 + 7 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + -1)**2 - sqrt(68)\/(sqrt(4)*-2).\nAnswer: -3*sqrt(17)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -64 + 1\/6*n**6 - 13*n**2 + 0*n + 0*n**4 - 1\/3*n**3 - 4\/5*n**5. What is the third derivative of x(p) wrt p?\nAnswer: 60*p**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 114*a + 116*a - 342*a + 114*a in the form h + m*a and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1961\/6078 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 18*q + 21. Let d be k(-4). Let x = -48 - d. Solve -c = -x*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g**2 - 12*g + 11. Is y(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -638543 divided by 4?\nAnswer: -638543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**3 - 2*p - 12*p**3 + 55*p**3 + 6*p.\nAnswer: 68*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 14. Which is the closest to l? (a) -5 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1212, -4819, -10824, -19221, -30004, -43167?\n\"Answer: y**3 - 1205*y**2 + y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395986 is divided by 30179?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r**2)*(2*r**3 - 4*r**3 - r**3) + 0 + 0 - r**5 + 62*r**5 + 25*r**4 - 25*r**4.\nAnswer: 64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 20540121277?\nAnswer: -20540121277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462212 to the power of 1\/2, to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(13) - (-3 + sqrt(832))**2) + 3.\nAnswer: -837 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11931\/2 - 5966. What is the closest to -0.4 in r, -21, -2, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)\/(sqrt(11) + sqrt(88)\/(sqrt(16)\/sqrt(2))))\/(sqrt(567)*2 + (-1*sqrt(28))\/sqrt(4)).\nAnswer: sqrt(7)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101201 - 1201010?\nAnswer: 2200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 330, 1228, 3006, 5958, 10378, 16560?\n\"Answer: 49*r**3 - r**2 - 28*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 56?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/4 + y**2\/2 + 336*y - 1. Let n(x) = 3*x**2. Determine n(l(i)).\nAnswer: 27*i**4 + 18*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and 519?\nAnswer: 35811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -5. Suppose 3*s - 410 = 175. Suppose -4*h = -l + c - s, -l = 2*h - 92. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.4, -0.018, 2\/89?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -99, -105, -113?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -196 and 137.\nAnswer: -26852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*d - w, 0 = -3*d + 2*w + 60 - 77 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-224)\/7*(-1 - 0). Suppose -4*t + z = 2*j, 2*j + 2*t = -3*t + 29. Does 14 divide 2 - 11\/(j\/(-84))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 6*i - 2. Suppose i - 12 = -w. Suppose 0 = 4*o + o - w. Solve -2*y = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 3)*(3 - 5 + 4) - 2 + 0 + 4)*(3*a**2 + a**2 - 3*a**2) to the form j*a + z*a**2 + t and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**8\/840 + t**7\/140 + t**6\/90 + 13*t**3\/6 - 11*t**2. Let r(m) be the first derivative of y(m). Factor r(j).\nAnswer: 2*j**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -69. Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**5\/20 - d**4\/3 + d**3\/3 - 3*d**2\/2 + 67*d. Give n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286.498 - -287. Let p = w + -0.002. Sort 2, 1, -1\/5, p in descending order.\nAnswer: 2, 1, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012825 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 12*k - 28. Suppose 4*y + 0*y = 168. What is the highest common divisor of k and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**4\/4 + 5*y**3\/3 - 2*y**2 - 4*y - 1. What is k(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 756, 0, 0.133 in descending order.\nAnswer: 756, 0.133, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/(4\/8). Let m(w) = -248 + 736 - 247 - 242. Let p(g) = 4*g - 2. Suppose 7*z - 6 - 8 = 0. What is h*p(c) + z*m(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (16 + 6) - (-22 - 45).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 10, x: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w + 5. Let j be u(-4). Suppose -j*n = 3*x - 1885, x - 11*n + 8*n = 619. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07500171 + -0.075. What is b rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 6698?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*f + 7, -4*k - 40*f - 20 = -38*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -6845350.\nAnswer: -68453500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/(13\/416*-36)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3293 less than -3294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*j, -2*j - 32 = -3*b + 2*j. Suppose b*s = s + 6. Suppose 4*i = s + 18. Solve -7 - i = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499.69 - 499.6. What is the closest to 7 in n, 2\/7, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 339 - 5?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-10) - 10\/25)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-3*4)\/sqrt(12))\/(-3*sqrt(242)*-4).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 888 and 549783?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*k + 4. Let b be 51\/(-34)*(-4)\/51. Let y = 78\/85 - b. What is the second biggest value in -4\/3, k, y?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 11 + 6 - 17.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13330 (base 4) to base 10.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000928637625 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15737927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 19, 22, 27?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 c, and 1 b when four letters picked without replacement from {c: 3, s: 1, b: 1, n: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 25*x. Let d(b) = 7*b**2. What is d(j(v))?\nAnswer: 28*v**4 - 700*v**3 + 4375*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 + 5 = -u, 2*u - 22 = 4*f. Let z be (101 - (f - -5)) + 5. Is 105 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -41*h**2 + 17*h + 2. Let j(q) = -20*q**2 + 8*q + 1. What is 13*j(o) - 6*l(o)?\nAnswer: -14*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.017 - 3.983. Let d = 1.9 - -0.6. Let x = d - 0.5. Which is the nearest to -2? (a) r (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382510111 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1888827l?\nAnswer: 188.8827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let y(w) = -3*w + 1. Let q(j) = -2*n(j) + y(j). Let c(d) = -d**2 - 5*d + 9. Let x(f) = -c(f) - 2*q(f). Let a = 115 - 124. What is x(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 2. Let o be c(-4). Let y(r) = r**2 - 5*r - 2. Let a be y(6). Suppose 2*j - o = -a. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.064 - -16.436. Let d = g + -16.56816. Let b = d + 0.066. What is b rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 989 - 53. Suppose 27*m - y = 24*m. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.234 - -6.\nAnswer: 5.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:26 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k\/k**(-3\/4))*k)\/k*k**35*((k\/(k**(-26)\/k))\/k)\/(k*k\/(k\/(k\/(k\/k**2)))*k) assuming k is positive.\nAnswer: k**(237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -7*j - 4\/105*j**6 + 0*j**4 + 1\/147*j**7 + 0 + 0*j**2 + 0*j**3 + 2\/35*j**5. Find l such that n(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) + 1\/((-25)\/(-235)). Suppose j = -24*l + 26*l. Solve -14 = -l*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6069 and 2091?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 52*l - 145. Let m be t(49). Let q be 31 - m - (-42)\/(-7). What is the highest common factor of q and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 1 - 1)*(10 - 19 - 21) as h*m + b and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - (-36 + 17 + -11 + -9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 = 61*n - 89 + 152 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a5 - 2?\nAnswer: -11a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i + 2. Let c(r) = 51*r + 21. Let l(f) = 2*c(f) - 21*q(f). Let h(g) = -6*g + 5. Let d(u) = -5*u + 4. Let x(z) = -5*d(z) + 4*h(z). What is l(x(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -1\/80*y**6 + 0*y**3 + 0*y - 1\/16*y**4 + 0 - 25*y**2 - 1\/20*y**5. Determine f, given that v(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260086 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + 1 - (0 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3305 - 2837. Which is greater: v or 466?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0 + 0*v**2 + 0*v**4 - 1\/3*v**3 - 2*v + 1\/360*v**6 + 1\/120*v**5. Let w(o) be the second derivative of g(o). Factor w(f).\nAnswer: f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from qqquqqqququq?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6278843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18104677 is divided by 603489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6\/13)*s*(s*s\/(s**(-3\/4)\/s))\/s)**(2\/7)*((s**4)**0)**39 assuming s is positive.\nAnswer: s**(271\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*l + l - 16, -5*j + 29 = 2*l. Solve 6 = -l*i, -p - 12 = 4*i - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 54*d. Let b(o) = -o**2. Determine b(v(r)).\nAnswer: -r**4 + 108*r**3 - 2916*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 1 + 4*h**4 - 10*h**2 + 492*h**3 - 2*h**4 + 13*h**2 to w*h**4 + u*h**2 + i + d*h + n*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 67*x - 136. Determine z, given that -1\/2 + 0*z - 1\/2*z**x + z**2 + 0*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19015, -34504, -49993, -65482, -80971, -96460?\nAnswer: -111949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-42) + 0 + 15\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668467, -668465, -668463?\nAnswer: -668461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*g + 2*g. Let q be (-21)\/((-3)\/g) + 2. Suppose -2*s + q = s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2486 - 2487.05. What is the third biggest value in -4, -0.4, n, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141\/46 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 16. Let r be n(-6). Let c(j) = -6*j - 27. Let y be c(r). Suppose y*i - 191 = 32*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o - 89. Give y(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -5\/4, 107.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*v - 16, 5*n + 4*v - 4 = 7*n. Let s be (-2203739979)\/126 - (-1)\/n*1. What is s rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/4 - 457909*x\/4 - 457913 = 0.\nAnswer: -4, 457913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -2, -13082, 4 in descending order.\nAnswer: 8, 4, 1, -2, -13082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**9\/9072 - w**8\/2520 - w**7\/105 - 71*w**3\/2 - w + 4. Let c(f) be the second derivative of b(f). Factor c(h).\nAnswer: h**3*(h - 6)*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 - 5*w**3 + (3*w - 3*w + 2*w)*(2*w**2 - 3*w**2 + 2*w**2) - 130*w**2 + 130*w**2 + 7*w**3 as h*w + z + g*w**3 + b*w**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -68 + 6*v + v**3 + 256 - 9*v**2 - 70 - 63 - 66. Calculate w(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:42 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, v: 2, j: 7}. What is prob of sequence vvj?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -153, -234, -331, -450?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -4*g + g**3 + 1\/12*g**4 + 0 - 7\/2*g**2. Let b be w(-7). Solve -4*i - i + 15 = b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**4\/12 - 70*r - 40. Let g(m) be the first derivative of l(m). Let i(o) = -44*o. Give g(i(q)).\nAnswer: -1936*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 98.1, 0.1, -5, -2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -7. Solve 0 = y*i - 13*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0036281147 and -130.\nAnswer: -129.9963718853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 10*q**2 + 12. Let k be y(-10). Suppose -3*i = 2*d - 16, i + 2*d = k - 4. What is the remainder when 50 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12\/7, -39, -5\/3.\nAnswer: -39, -2, -12\/7, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207135*h + 208550*h = 7075 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czb when three letters picked without replacement from zcbzzjbabzzb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 19.3. Let i = 0.9 - j. Let d be 4\/(-6) + (-1)\/(-2). Which is the third smallest value? (a) -0.3 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1140987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3711*h**2 + 7462*h - 2. Give o(-2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c*c)\/c**(1\/3))**(-23)*c**(3\/37)*c\/c**(-2)*c\/c**(3\/7) assuming c is positive.\nAnswer: c**(8795\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -p + 96, 3*p - 273 + 40 = 2*b. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*n + 751409, -l = 4*n + 347688 + 28024. Round l to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10 - 7*d - 1 + 16 - 6*d**2. Let y(b) = 5*b**2 + 6*b - 4. Suppose -u - 12 = -4*u. Let q(j) = j + 11. Let w be q(-6). What is u*t(h) + w*y(h)?\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o*o**(1\/4))\/o)\/o*o*o))\/o)\/o)**30*o**0\/o**(2\/7)*((o*o\/(o\/o**(2\/3))*o)\/o**3)**(-7) assuming o is positive.\nAnswer: o**(-2749\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 12. Suppose 11 = 5*n + m*a - a, 5*a = -4*n + 7. Let c be -1 - (0 + n - 6). Solve 2*p + c = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233, 2, -19, -10 in increasing order.\nAnswer: -233, -19, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) 0.13 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - -3 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + f + 2*f)*(35 - 112*f - 38 - 47*f**2 + 41*f - 24*f) as z*f**2 + i + g*f + p*f**3 and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -1190?\nAnswer: -1190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -10. Let u(d) = d + 12. Let j be u(-8). Which is the second smallest value? (a) 5 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.2 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21760 and 340?\nAnswer: 21760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 991*u**6\/120 + 89*u**5\/15 + 169*u**2 - 4*u. Find the third derivative of m(r) wrt r.\nAnswer: 5946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 26*s**2 + 3*s - 11. Let k(h) = -22*h**2 - 3*h + 11. What is -6*k(q) - 5*o(q)?\nAnswer: 2*q**2 + 3*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53248029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + (-198)\/(-42). Suppose -h + 5*v = -a*h + 80, -3*h + 79 = -v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-2860))\/((108\/(-30))\/6)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = 0, s = 289*r - 286*r - 28 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7075 by -9.\nAnswer: 7075\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 138013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13886 - -27761. Let f = 21728 - b. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 44084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - y - 15, -5*c + 14*y + 10749 - 10665 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316223\/582720 - -76\/3035. Calculate the common denominator of j and -131\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 3*h**2 + 7*h + 7. Suppose 12*z + 86 = 26. Calculate c(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 11*a**2 + 11*a - 34. Let l = -265 - -255. List the prime factors of g(l).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2841*w**2\/2 - 5570. Let d(q) = 2*q**2. Calculate r(d(f)).\nAnswer: -5682*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -661.005 + 660. Let k = 0.06 + -0.065. Let t = k - m. Is 1\/2 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -24. Suppose -5*u + z*g = 4*g - 4, 4*g - 10 = -u. Suppose 3*v + 333 = 4*i, -u*i - 4*v + 17 + 133 = 0. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 15*b - 2. Let m be o(-16). Suppose 5*z - 6 = m. Solve z*a + 3*w = 31, 7 = a + 5*w - 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**8\/560 + p**7\/350 + p**6\/200 - p**5\/100 - 4*p**2. Factor x(s).\nAnswer: -3*s**2*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -25\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440023 (base 5) in base 10?\nAnswer: -46263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124 and 25.19.\nAnswer: -3123.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 909*p - 158796. Calculate l(-236).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 - 5*f + 5. Let o(r) = 3 - 15*r**2 + 33*r**2 - 3*r - 19*r**2. Suppose -3*d - 30 = -6*d. Let l(i) = d*o(i) - 6*s(i). Factor l(y).\nAnswer: -2*y**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 6, -3, 14, 22, 26 in ascending order.\nAnswer: -7, -3, 4, 6, 14, 22, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/8)\/((-2)\/16). Let a = 42 - l. Calculate the smallest common multiple of a and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 401.06 - 398. Let o = 5.06 - r. Put o, 3\/4, -26 in increasing order.\nAnswer: -26, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -14 - 10) + (-3 - (16 - 8))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -2)\/(0 + -2). Let d be (-2 - (0 + -2))*z. Is d != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = -248*q + 398*q - 240*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -1*sqrt(1452))\/(-3*(sqrt(6) + -2*sqrt(6))) - 1*(sqrt(50) + sqrt(250)\/sqrt(5) - sqrt(50))**2*-5.\nAnswer: -10*sqrt(2)\/3 + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-8) - (-625)\/20 is divided by 4*(4\/6 - 44\/(-33))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of (-128)\/10*(-4 - (9 - 8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060 (base 8) in base 4?\nAnswer: -120300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5350?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 11626*k\/5.\nAnswer: -2*k*(k + 5813)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from {p: 6, u: 2, j: 3, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4388396 and 6148.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from cncannncacancanccn?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030971 (base 10) in base 6?\nAnswer: -34033003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msxx when four letters picked without replacement from {d: 1, u: 2, x: 2, s: 4, m: 1}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8275*b*v*x + 1742350*b*v + 51*b*x wrt x.\nAnswer: -8275*b*v + 51*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.8033192 days?\nAnswer: 1156.779648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 5300?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4937.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1002001120201020 (base 3) to base 6\nAnswer: -1310555010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76562 - -3?\nAnswer: -7655e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 - l. Let v(h) = -h**3 - 2*h**2 + 6*h - 2. Let d be (-9 - 444\/(-48))\/((-3)\/(-24)). Give d*f(k) - v(k).\nAnswer: -k**3 - 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367648?\nAnswer: 2, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 25, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/4*(-4)\/(-20). Let h = -6 - -5.9. Put h, 3, i in decreasing order.\nAnswer: 3, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.18787 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1570984 divided by 8.\nAnswer: -196373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -557 + 553. Put z, 5, 3\/11, 3\/2 in ascending order.\nAnswer: z, 3\/11, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1004 (b) -0.5 (c) 4\/5 (d) 2\/9 (e) -0.1 (f) 0.4 (g) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1514285123 is divided by 6845.\nAnswer: 6843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2340560 by -680.\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*h + 385, h + 17 = -2*c + 171. Let m be (-784)\/c + 2\/11. Which is greater: -9 or m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034741012 rounded to 7 dps?\nAnswer: -0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44006316?\nAnswer: 2, 3, 193, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, 4, 1, 161, 1\/2, 0.1 in descending order.\nAnswer: 441, 161, 4, 1, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15910860, 63643436, 143197726, 254573730, 397771448, 572790880, 779632026?\nAnswer: 1018294886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129579*2.\nAnswer: -259158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12 (b) 18 (c) -8 (d) -5 (e) -0.102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/15893 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-4\/3)*(s\/(s**4*s))\/s)**(-27) assuming s is positive.\nAnswer: s**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -9735\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -491 - -4?\nAnswer: -48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -15. Let p = -5 + l. Suppose -6*f - 4*w + 121 = -3*f, -p*w - 151 = -3*f. What is the remainder when f is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2\/9, -3\/4 in decreasing order.\nAnswer: 4, -2\/9, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, p: 6, l: 1}. Give prob of sequence pjp.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 22 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose t - x - 12 = w*x, 0 = -3*t + 2*x + 6. Suppose 2 = 2*l - 4. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -5 (c) -0.1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence httt when four letters picked without replacement from {t: 6, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4424*n**3 + 42*n**2 + 20*n**2 - 2*n + 4422*n**3 in the form y*n**2 + g + t*n**3 + w*n and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.91, -458, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 899*u**2 - 917*u + 33. Give t(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + 5*i**2)*(-2043*i - 106 + 43 + 63).\nAnswer: -10215*i**3 + 4086*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 28. Suppose j = 3*l - 335. What are the prime factors of l?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -686, -1029, -1372, -1715?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/5*17\/(-85)*-35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 - x**4 + x**4 + (3 - 4 + 4)*(-2*x + 2*x + 2*x**2)*(296 - 8*x**2 - 296) to g*x**4 + s + v*x**2 + u*x**3 + p*x and give g.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/64 - 217\/320. Let d(i) = -i**2 - 8*i - 5. Let z be d(-5). Let h be (-2)\/4 - (-1)\/z. Which is the biggest value? (a) h (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 12*r**2 + 10*r - 6. Let a be y(-11). Suppose a*d - 155 = -3*m, -2*m + 2*d = 7*d - 100. What is the greatest common factor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 185\/(5 + 3 + -7). Suppose -5*u = -4*k - j, 0*k - k = -5*u + 185. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38098069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + sqrt(324)*4)\/(2*sqrt(200)))**2 + (-6*sqrt(1250)*-2 + sqrt(1250))**2*-4.\nAnswer: -168998631\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 17. Let z be v(12). Suppose -y = -4*j - 2*y + 20749, -z = -y. What is the third derivative of -2*t**6 + 5193*t**2 - j*t**2 - 33*t**6 wrt t?\nAnswer: -4200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 15. Suppose i - 5 = 8. Let b = y + i. Solve -2*a + 0*a - b = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 255? (a) 2\/13 (b) -0.5 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6*(-8)\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25586)\/(-38379))\/(((5\/(-4))\/5)\/(-7*3))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3598 and 37751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96160.22 micrograms to milligrams.\nAnswer: 96.16022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:21 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.115 (b) 60 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = 3*t. Find the second derivative of -33*p - 47*p**t + 84*p**5 - 39*p**5 wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**7\/6 + 5*t**4\/6 - 6*t. What is the third derivative of s(u) wrt u?\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g)*(-276 + 256 + 4 + 474).\nAnswer: -916*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 - 139. Suppose 990 = d*f - 5*f. What is the greatest common divisor of 27 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*o + 18, r = 4*o - 2*r - 11. Suppose 2*h - 42 + 4 = 0. Suppose h*u - 30*u = 0. Which is the smallest value? (a) u (b) o (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127371387 to the power of 1\/2, to the nearest integer?\nAnswer: 55923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-5)\/i)*i**(1\/3)*i**(-7)*(i*i\/(i**(-2\/7)*i*i*i))\/i assuming i is positive.\nAnswer: i**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -458, 3, -445523.\nAnswer: -445523, -458, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/5, -0.4, 0.39 in ascending order.\nAnswer: -0.4, -0.05, 1\/5, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.4 and 610732446.\nAnswer: 610732449.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from {r: 2, u: 1, f: 2, w: 2, b: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + o**4 + o**4)*(-5*o + 4*o - 7*o) + (4 - 4 - o)*(0*o**3 + 0*o**3 - 2*o**4) + 4*o**5 + 10*o**5 - 71*o**5.\nAnswer: -79*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/120 and (-21)\/80 + (-36)\/108 + 4\/9?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let w(y) = -93*y**2. What is w(j(b))?\nAnswer: -372*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(832) + ((-1 + sqrt(832))*-2)**2 - sqrt(832)))*-2 + -2.\nAnswer: -6664 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 75 + 40 = 2*j, -10 = 2*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/h)**16\/(h*h\/(((h*h\/h**(-14))\/h)\/h*h)*h*h**(-17)))**2 assuming h is positive.\nAnswer: h**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3867382 or -34806446\/9?\nAnswer: -3867382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**5 - 5*t**4 + 13*t**3 - 13*t**2. Let m(f) = 4*f**5 - 2*f**4 + 6*f**3 - 6*f**2. Let j be 2\/4*-8 - 2. Let l(k) = j*x(k) + 13*m(k). Factor l(h).\nAnswer: -2*h**4*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.937*-2829.37.\nAnswer: -2651.11969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -32.8. Let t = s - 0.8. Which is the nearest to -0.1? (a) t (b) 1\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 - 11525384*y + 16604309543432 = 0.\nAnswer: 2881346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -19347\/14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.447 times 0.0172?\nAnswer: -0.0076884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**2 - t. Let r be q(-1). Is 134*((-15)\/r + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1273*n + 2547*n - 1276*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9660 divided by -138?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0*w**6 + 19\/42*w**7 + 0 + 5\/2*w**3 + 0*w**5 - 11*w + 0*w**2 + 0*w**4. Find the second derivative of a(j) wrt j.\nAnswer: 380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 2, a: 1, c: 2, g: 2}. What is prob of sequence la?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 706 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*d - 8. Let s(x) = x**3 + x**2. Let y(j) = -j**3 - j**2. Give d*s(b) - 6*y(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -813\/35 + 192\/7. Let j = -36211\/8 + 4517. What is the common denominator of j and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -19*a**5 + 423*a**4\/8 + 670*a**2 + 3*a. Find the second derivative of r(x) wrt x.\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13626*w - 79373 = 84139 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 394496 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6cd83 (base 15) to base 2\nAnswer: 1010100110010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**3\/11 + 88598*x**2 - 29681443012*x\/11 + 7420299842\/11.\nAnswer: -2*(x - 60911)**2*(4*x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2\/(-72)*-6). What is the third derivative of -4*g**n - 9*g**6 - 44*g**6 + 9*g**2 - 26*g**6 wrt g?\nAnswer: -9960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:00 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 2*p**3 - 4*p**3 + 2 + 3*p**3 - 2 + (-p + 0 + 0)*(3*p**2 - 2*p**2 + p**2) - p**3 + 5*p**3 + 5*p**3 + 0*p + 0*p + p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2*n**2 - 5*n - 2. Let p be g(4). Solve 0 = -5*x - p - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 11 = 35. Suppose 4*c - d = -5*f, c + 2 = 3*f - 9. Solve 5*o - y = -10 + c, 1 = 3*o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*y - 1192 = 236*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 5. Let g be (-12)\/21*(-4 + -3). Let i be z(g). Let k = 26 + i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t**2 - 10*t. Let g(d) = 8*d**2 - 3*d**2 - 2*d**2 + d**2 + 3*d. Let m = -1416 - -1422. What is m*l(s) + 20*g(s)?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -14. Suppose 0 = 4*x - v - 144 - 69, -3*v - 223 = -q*x. What is the highest common factor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 + 277. Solve -3*n - d = -1, 2*n - i + 5 = 2*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-5)*l)*l*l)**(-42)*l\/(l**(2\/11)\/l)*l\/l**(-10\/3)*l*l*l assuming l is positive.\nAnswer: l**(-9400\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8) + (25\/20 - -3). Suppose p*t = -4*q + 72, 3*q = 4*t + 10 + 44. Suppose -2*h + 8*j = 3*j - q, 5*j = 4*h - 26. Sort -5, h, 5, -4.\nAnswer: -5, -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-1)\/2 + 270\/(-4)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -3*h**2 + 1\/3*h**3 - 32*h - 30. What is the derivative of r(g) wrt g?\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5507045 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1233400 (base 5) to base 4\nAnswer: -11322201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99.049 + 99. What is x rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 73\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -7789?\nAnswer: 311.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 570 = i. What are the prime factors of 15095\/i + 3\/(-18)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, 2 in decreasing order.\nAnswer: 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -1 + (-2 + 12 - (180 - 165)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(126\/(-49))*-598. Let a = v + 3583. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21134*x**2 - 67874*x**2 - 44570*x**2.\nAnswer: -91310*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/21*(-3500)\/200.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 11*f. Let x(z) = -z. Let q(s) = -c(s) - 6*x(s). Let g be q(-2). Suppose 1248 = -6*p + g*p. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c - 2*c + 1 - 1 + 2*c + 0*c - 3*c + c + (1 - 1 + 2*c)*(3 - 1 - 4) - 6*c + c + 4*c - 5 - c + 5 - 40*c - 7*c - 37*c to x + t*c and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 2*g = -19*q - 13, 0 = -3*q + 2*g - 17. Which is the second biggest value? (a) -0.241 (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 746 - 4489\/6. Find the common denominator of r and -5\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:12 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (15 - 24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4, -126.57?\nAnswer: -126.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(351\/(-36))*((-351)\/774)\/13?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 354 + -354 - (3 + 5 + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 7*z - 76 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22171 + 788?\nAnswer: 23070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 - 6832*l\/5 - 2736.\nAnswer: 4*(l - 1710)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igggingigniin. What is prob of picking 4 g?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 12*t - 32. Determine q(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most 8\/796799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5739706538.\nAnswer: 2, 719, 3991451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1647048 by 274508.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58098912269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22201 (base 3) in base 10?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 12 = 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.2. Let q = v - 0.9. Let w = 0.74 + q. Round w to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 44.6. Let r = -4 + f. Let q = -7\/3 - -17\/6. Put q, r, 1\/5 in decreasing order.\nAnswer: q, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 1. Let i be z(2). Let p = i - -12. Suppose 1 + p = c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1857 - 0.6857. Which is the nearest to -1? (a) -5 (b) -18 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)\/(l**(2\/11)*l*l))**(-44\/3)*l**(-5)*l**(2\/5)*(l**(1\/3))**(-8\/7) assuming l is positive.\nAnswer: l**(311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-84)*(-14)\/4. Let f be (6\/12)\/(l - 9\/(-6)). Which is smaller: f or 2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 9*s**2 + 7*s + 8. Calculate the remainder when b(-7) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 20 = 3*d. Suppose 0*t - 46 = -2*t + 5*y, 5*t + 5*y - 45 = 0. Solve -2*m + t = -3*m + 4*j, -5*j = d*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 13) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + (10 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:14 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - w + 4. Let o be q(2). Suppose -o - 8 = -6*p. Differentiate 4*g**p + 710*g + 10 + 3*g**3 - 710*g wrt g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873295 less than or equal to 1746587\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-574)\/(-22) + (-21 - 5290\/(-253)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = -0, 3*w = 2*s - 29. Sort 1, -4, w in descending order.\nAnswer: 1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three fifths of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*z - 12 = 0, 3*y + z = -2*z + 9. Is -1\/2 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 620 - 10718 = 0. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 719008 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000928 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from yddyydidd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21.9 (b) -8\/43 (c) -10\/113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4229 - -4229. Let v(r) be the third derivative of 0*r - 4\/21*r**4 + 11*r**2 + o + 0*r**3 + 1\/105*r**5. Suppose v(d) = 0. Calculate d.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -39. What is the highest common factor of q and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*k - 367*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 30*w**2 + 2*w. Let f(z) = -2*z + 43. Determine f(l(t)).\nAnswer: -60*t**2 - 4*t + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71916641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let t = 1 - -27. Suppose -43 = -t*n + 13. Solve i*s + n*x = s + 8, -4*x + 16 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 1:04 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2518*c - 759. Is m(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 6. Let s be (0 - -10)*t\/4. Suppose -2*d + 60 = 3*d - o, 75 = s*d + 2*o. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = -2*w, -3*k = 5*w - 0*k + 75. Suppose -2*b - 24 = -8*b. What is the tens digit of w\/16 - (-75)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146435 times 2?\nAnswer: -0.29287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 263, 389, 515, 641?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69123d (base 14) in base 2?\nAnswer: -1101101001000001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**4 - 91*w**4 - 85*w**4 + (-w**3 + w**3 - 2*w**3)*(2*w - w + w) - 2*w**4 - w**4 + 2*w**4 in the form s*w**2 + o*w + m + b*w**4 + r*w**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*m - 2 - 2 = 0, h - 18 = -3*m. Suppose -h*j + 4*n + 18 = 0, -5*j + 10*n - 5*n = -35. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 51.9 (c) 1145 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.95 + -0.05. Let r = -1 + y. Let v = 5 + r. Is -2\/5 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 7*r - 4. Let o be y(4). Suppose 0 = -3*u + 1 + o. What is the second derivative of 13*l - 5*l**u - 7*l - 5*l wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 11.4. Let t = -2.2 + p. Let k = -4 - t. Is k < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knlclllhjllnn. Give prob of sequence jc.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 83*a**5\/20 - 19*a**4\/12 - 2*a**3\/3 + 21*a**2\/2 + 7188*a. What is the third derivative of r(v) wrt v?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, -7, -333, 4, 2 in decreasing order.\nAnswer: 18, 4, 2, -3, -7, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*p - 31*p - 91*p - 214*p**2.\nAnswer: -214*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f + 7. Suppose 25 - 7 = -3*k. Let d(y) = -3*y - 6. Determine k*d(b) - 5*m(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -18*a + 1142. What is t(73)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)*r)**14\/((r\/((r*r**(-1\/7))\/r))\/(r*r\/((r*r**(1\/6))\/r))))**2 assuming r is positive.\nAnswer: r**(4261\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.6 - 4.62. Let f = l + 0.02. Let k = 2.94 - f. Is -1\/4 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1150\/(-69)*18\/(-10)*2\/(-6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 63. Let j(c) = 3*c. What is p(j(s))?\nAnswer: 3*s + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10012033300 - 4?\nAnswer: -10012033304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1027.44 - -6.44. Let g = f - -1028.21. Round g to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/l)**(-3\/26)*(l**(-2))**4)**(-3\/8) assuming l is positive.\nAnswer: l**(309\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:48 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + (sqrt(68) - ((sqrt(68) + -2 - sqrt(68)) + 2) - sqrt(68)) + sqrt(68)))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5216490 by 18.\nAnswer: -289805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 545177 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 + 6*f + 3. Calculate the remainder when y(5) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227172\/131 less than or equal to 1734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110.05 - 106. Let k = q + -4. Let i = 4.627 + -7.627. Which is the third smallest value? (a) k (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3703 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 27*t**2 + 3*t - 4. Let v be f(1). Suppose -23 + v = y. Suppose 3*m - 1548 - 2968 = 5*z, m - 1510 = -y*z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**4 - 12*v**2 + 419*v - 345261 wrt v.\nAnswer: -16*v**3 - 24*v + 419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b - 10 = 0. Let s(n) = 2*n**2 + 5*n - 4. Suppose 7 = -5*a - 13. Let v be s(a). Solve b*i - 3*i = 2*r + v, -4*i = 2*r - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {t: 3, i: 1, q: 4, l: 1, g: 2, h: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 70, 87, 104?\n\"Answer: 17*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y - 3 - 4*y + 15*y. Let k(a) = -a**3 - 6*a**2 - 5*a + 2. Let r be k(-5). Is q(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 170\/3. Let t be 4\/10*10\/(-24). Which is the third biggest value? (a) t (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7227 and 21835?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 33*z - 197. What is o(0)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3665, -3666, -3667, -3668, -3669?\nAnswer: -3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(1386\/12)*(-450)\/(-30).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*z**3 + z**2 - 6 wrt z?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87746189.\nAnswer: 83, 1057183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-11))\/((-1)\/2) + 8241\/(-737). Sort -1, 2, d, -5, -3 in ascending order.\nAnswer: d, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 3, q: 5}. What is prob of picking 1 z and 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436682?\nAnswer: 2, 29, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*5*sqrt(19).\nAnswer: 5 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/435, 34\/3, 5?\nAnswer: 2\/435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4 + 2)*24. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1628160 - -0.3?\nAnswer: -1628159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763313 is divided by 247.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) 5 (d) -2297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -91882689*h**2. Let k(v) = -4*v**2. Determine p(k(s)).\nAnswer: -1470123024*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122)\/(-244))\/(2\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k**3 - 14*k**2 + 23*k - 10. Let w be d(2). Solve 13*g = w - 202 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 - 11000?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153085958 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times 0.6\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122.7 - -127.7. What is the closest to -3 in -2, 0.1, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -64*y + 23. Let s(r) = 31*r. What is s(n(b))?\nAnswer: -1984*b + 713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 14 = -2*h, 4*h + 4*y + 3 = 19. Suppose -h*l + 20 = 2*v - 2, -5*v + 25 = 3*l. What is the remainder when 60 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = i + 2, 4*i = -3*z + 4*z + 7. Solve -5*q - 5*a - 20 = 0, 4*a - 8 = 2*q + i*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 + 160. Let y = -1.8 + 2. Let r = y - 0.2. Which is the nearest to -1\/2? (a) -2\/9 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-227*p - 283 - 407*p + 283)*(-p + 2 - 2)*(3 + 2 - 3) as a*p + m*p**2 + n and give m.\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2032649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 314868*c + 8261821452.\nAnswer: 3*(c + 52478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 11 = 2*z, 4*r + 172618 = 5*z + 172659 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l + 23. Let n(y) = -y. Let g(u) = j(u) + 5*n(u). What is the tens digit of g(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 23. Solve -4 = g + 3*w, c = -4*g - w + 2*w + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0158793484 - 0.1.\nAnswer: -0.0841206516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 2*w, -6 = -2*w - 2. Let c(a) be the second derivative of -2*a**2 - 6*a + 0 - 1\/6*a**3. Give c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 22*p + 80. Calculate the remainder when 268 is divided by -10 - p - (3 + -63).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 755 at least 8318\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 330165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -5712 and -5713 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 + 24612665?\nAnswer: 24613036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83073*i**4 - 59*i**2*p - 26227*p + 268 wrt i.\nAnswer: 332292*i**3 - 118*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c + 11 = -40*c. Let f be (-29)\/(-4) + c\/4. Solve 5*p + 2*y = f*y - 20, -2*p - 4*y + 10 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15228061, -15228071, -15228081, -15228091, -15228101?\nAnswer: -15228111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 13507\/369?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f**3 - 4*f**2 - 8*f - 13. Let u(s) = -5*s**3 - 2*s**2 - 4*s - 7. Give 6*b(y) - 11*u(y).\nAnswer: y**3 - 2*y**2 - 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 15*v - 20*v, 161566 = c + 3*v. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 460?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 5*l + 8*v + 27, 2*l + 12 = -2*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.003 - 16.703. What is the third smallest value in 4, 0.3, 3\/8, g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88595 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -60498*w**2 + 60499*w**2 + 31*w + 162 - 66. Determine u(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3. Let d(u) = 151*u + 301. Let m be d(-2). Let f(l) = 88*l**3. What is m*f(b) - 110*y(b)?\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**8\/336 + 4*t**7\/105 - 11*t**6\/60 + 2*t**5\/5 - 3*t**4\/8 + 373*t**2. Factor f(j).\nAnswer: -j*(j - 3)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 5*m)*(3 - 1 - 3)*(4*m - 17*m + 9*m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*s - 52*s + 238*s**2 - 328*s**2 in the form t*s**2 + d*s + c and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 3:54 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155179 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 = 14*h. What is the third smallest value in h, -3.1, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhohhhhohnonobhhhohn. What is prob of picking 2 o and 1 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -589 - -335. Let n = -763\/3 - j. Which is the nearest to 0.1? (a) n (b) 3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.09 and -0.05704.\nAnswer: -0.2903336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 49. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 11*f - 11. Determine r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 3*m + 2*m)*(2*m - 2*m - m - 4*m + 3*m + 3*m + (-3*m + m + m)*(4 - 4 + 3) - 10 + 3 + m + 0*m) to the form j*m + h + r*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(1484\/(-318))*(-8)\/3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.23 + -1.43. Put -1\/9, j, 2, -0.4 in decreasing order.\nAnswer: 2, -1\/9, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let c(m) be the first derivative of -m**2 + 802*m - 1336. What is c(q(i))?\nAnswer: -2*i**2 + 802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 10*q + 3. What is the units digit of o(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -1081, -2240, -1 in decreasing order.\nAnswer: -1\/14, -1, -1081, -2240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26596907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9384671 greater than or equal to -9384713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1741*n + 24862 - 101466 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 1, y: 2, b: 1, r: 5, x: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2482\/781?\nAnswer: 2482\/781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 3, q: 2, p: 7, e: 3, i: 1}. Give prob of sequence hie.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 16. Suppose 10 = -5*y + 5. Let a(w) = -4*w - 1. Calculate the remainder when r is divided by a(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*(8232\/(-28))\/21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/24 and -103\/122520.\nAnswer: 122520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 737803544519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 25*l + 36 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbgguugtubggtgttgg. What is prob of sequence gu?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/20 + n**4\/12 + n**3\/6 - 9*n**2\/2 + 25*n + 1. Determine p(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:09 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(sqrt(1331) - ((0 + sqrt(1331) - sqrt(1331)) + sqrt(1331))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122247, -243822, -365399, -486978?\nAnswer: -608559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 41415 = 11*o - 5*n, 0 = 5*n. Let x be 510\/((-1)\/(-1))*-9. Let t = x + o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60956 is divided by 6083.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, v: 4}. Give prob of sequence bbbv.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 6*c + 44. Let w = -24 + c. Are -21 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*o, -2*v - 4*o = o. Let p be (-3 + (-1 - v))*-1. Solve -p*h = 4 + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2649 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.77 - -32.57. Which is smaller: -0.0817 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94605836 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/18 - 6)\/(19\/57) - 56?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 8*y + 4 = 0. Suppose -4*t + 246 = y*t. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 981.\nAnswer: 2\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.1, 453, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g - 93. Give o(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*k + 2*k - 68, -4*k = 4*j - 64. Let i be 1\/(3\/k) - -2. Suppose 11*o - 35 = i*o. Solve 2*c = o*c + m, 5*m = -5*c + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(0 - -1 - (4 + -4)). Sort -18, p, -3.\nAnswer: -18, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1\/8, 3, -147, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + 1 + sqrt(7))**2 + sqrt(7) + -2 + 0.\nAnswer: 13*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/21 - ((-80)\/(-12))\/2. Suppose 4*v = -5 - 3. What is the common denominator of (-1157)\/234 + p\/v and 23\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015668 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 137*y**2 + 489*y - 5527. Determine a(-133).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-10)\/21) + (-17)\/85\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 5*h - 22*h + (1 - 5 + 3)*(-10*h + 9 - 9) in the form i + r*h and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -931 + 2087. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/24 - 5*q**3\/3 + 25*q**2 + 9*q - 2. Let u(p) = 0. Calculate p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4843, 9751, 14659?\n\"Answer: 4908*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**50*(w**(-4\/3))**(-36) assuming w is positive.\nAnswer: w**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47898 and 39915.\nAnswer: 239490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96 and -5.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-552)\/345*(-93)\/(-248)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/10 - z**4\/6 - 18*z. Factor u(j).\nAnswer: -2*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a millennium in decades?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/116 (b) -0.4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107814 + 6*z**3 - 107814.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 7*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**2. Let c(z) = 13*z + 3. Let s(f) = -64*f - 14. Let u(j) = 14*c(j) + 3*s(j). Give y(u(i)).\nAnswer: 1000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 853120520 by -3207220.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 7) to base 5.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2\/16*4. Let o be (2\/33)\/(p\/3). Which is the third smallest value? (a) o (b) 0 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(-5\/12)*h*h\/h**(-5\/3)*h*h*h**(-3\/8)*(h**(-1\/7)*h*h*h**(-5\/2)*h)\/(h*h\/h**(-2\/5))**33 assuming h is positive.\nAnswer: h**(-41247\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 18*d + 71*d = 366 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 6. Calculate g(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117\/5 - -453\/20. Let s = 4 - 3. Suppose 13 = q - 5*w, q = 10*w - 7*w + 7. What is the third biggest value in r, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let a(j) = j + 6. Determine a(k) - s(k).\nAnswer: 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7627.023 grams to tonnes.\nAnswer: 0.007627023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/7 - 165090*n**2\/7 - 323704797*n + 145696744128\/7.\nAnswer: -3*(n - 64)*(n + 27547)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 24*t - 420 = 0. Let l = t + -42. Which is bigger: l or 2\/197?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/150253 - -4807351\/111938485. Find the common denominator of -26\/25 and j.\nAnswer: 3725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*((-3)\/(-2) + -3). Let w be 9\/2*(-2 - -4). What is the highest common divisor of w and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -48. Suppose -k = 5*q - 23, -35 = -4*k - 5*q - b. What is the greatest common divisor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipzic. What is prob of sequence iz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9073.294t to nanograms.\nAnswer: 9073294000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42768 and 479682.\nAnswer: 42212016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 26011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13005604?\nAnswer: 2, 103, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**3 + 2*q**3 + 5*q**3)*(214 - 214 - 349*q) to the form x*q**3 + o*q**4 + j*q + l*q**2 + d and give o.\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16873*b*k**4 + 162*b*k**3 - 11*b*k**2 - 153*b*k + 2127*b - 4*k**3 wrt k?\nAnswer: -404952*b*k + 972*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3149 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588688 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:18 PM?\nAnswer: 262","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5069793 nanograms?\nAnswer: 0.0000000000005069793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h - q + 44, -5*q + 66 = 4*h. Let m be 2\/6 - h\/6. Let w be 8\/(-57)*12\/16. Which is the smallest value? (a) w (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(2*2))\/((-12)\/648*182\/546)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d - 12. Let 0 + 0*m + 2\/11*m**d = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3332\/102)\/49*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -7, -3194642?\nAnswer: -3194642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4 - 3. Solve -q - 4 = -s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - 1.4. Let q be 35\/21 + -1 - 2\/(-6). What is the closest to -1 in -0.2, i, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 25 = 5*k. Suppose 3*q - k*z - 19 = -0, -5*z = 5*q + 35. Let h = -82\/45 - -20\/9. Which is the nearest to h? (a) q (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 5 (b) -3 (c) 0.3 (d) 0.04 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.3 - -29. Let h = -15.7 + y. Let i = h - -13.99999937. What is i rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 480*w + 11713. Determine z(-24).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 2599332?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -19. Let q be (1 + -3)*1\/t. Sort 0.4, -34, q in descending order.\nAnswer: 0.4, q, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 19 + 7 = 0. Suppose -z + 69 = -0*q + 3*q, g*q + 20 = 0. Calculate the highest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17922 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12985, -25968, -38951, -51934?\n\"Answer: -12983*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-705)\/282 - (13\/2 - -1). Let i be ((-7)\/(-210)*5)\/((-5)\/m). Factor 0*o + 1\/9*o**5 + i*o**3 + 4\/9*o**4 + 0 + 0*o**2.\nAnswer: o**3*(o + 1)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3 - 1556*k**2 - 356706*k - 25498152 = 0.\nAnswer: -436, -171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 400 - 12640?\nAnswer: -12240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*m = 79*m. Solve m = 49*z + 42 + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 - 5 = 0. Suppose -w*x + 34 = -22. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 4*n**5 - 8*n**4 - 16*n**3\/3 + 45. Factor o(u).\nAnswer: 4*u**2*(u - 2)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 2*v**7\/105 + 13*v**3\/6 + 16*v**2. Find the first derivative of w(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7599 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 921.9511 weeks?\nAnswer: 6453.6577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -116. Let j = 8 - 8. Which is the nearest to -2\/3? (a) k (b) j (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-114)\/(-18) + 5\/(-15). Suppose 1 = -2*z + 153. Suppose m*f - 44 = z. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 12 = 3*u. Suppose a + 22 = 5*m, 3*a = -u*m - 34 - 32. What is the units digit of 1\/(0 + (-2)\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*p - 9 - 11, -5*p - 12 = -4*l. Suppose l - 11 = 3*m. Sort 4, m, 0 in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47126.3 to the nearest 100.\nAnswer: -47100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-1)*g)\/g)**(-2\/63)*g**(2\/3)*g*g*g**(1\/5)*g)\/((((g**(1\/5)\/g*g)\/g)\/g)\/g**(-7))**(-37) assuming g is positive.\nAnswer: g**(6866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*i + 181*i - 2 = 0. Suppose -331 = -3*q + i*y - 7*y, -4*q = -3*y - 451. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1544469, -1544471, -1544473, -1544475?\nAnswer: -1544477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/491803803 or 0?\nAnswer: 2\/491803803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*-6*13\/(-208)*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 8:33 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1012*p**2 - 52*p + 207. Is v(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9705814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 351*o**7\/7 + 388*o**3\/3 + 150. Find the third derivative of s(l) wrt l.\nAnswer: 42120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**2 + 1\/2*a**3 + 0*a + 0 - 1\/6*a**4. Find the first derivative of b(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49915, 199661, 449239, 798649?\n\"Answer: 49916*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/121 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-15)*(-474)\/4. Suppose -130 = -2*f + r. Find the common denominator of (-2)\/12 - (-1416)\/f and -37\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118293723 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302060 - -534609. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/((-16)\/(1152\/(-696)))?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*o + 4*r, 0*o - o + 5*r = -27. Let a be (10 + -8)\/(2\/(-3)). Let f be o\/((-21)\/(-6) + a). Solve -v + f = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -270 (b) -0.1 (c) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249.202 + 272.2. Let m = c + 0.002. Let t = -22.9 + m. Sort -3\/7, t, 1 in decreasing order.\nAnswer: 1, t, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + v)*(0*v + 0*v - 4*v**2 + 1 + (-v + v + 2*v)*(-v + 2*v + 2*v)).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.295 - -0.205. Let j = -13764 + 13766. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:10 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12543 divided by 6.\nAnswer: 4181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i*l*m**3 + 2*i*l*m**2 - 2*i*m**3 + i*m - 68358*l*m**3 + 11*l*m**2 - 5*l - m**3 - 98*m**2 - 3 wrt m.\nAnswer: -18*i*l - 12*i - 410148*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -235. Let c = j - 131. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35339, -70672, -106005, -141338, -176671, -212004?\nAnswer: -247337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/20 - u**4\/12 - u**3\/6 - 8*u**2 - 238*u. Calculate m(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1892564, -8, 3 in descending order.\nAnswer: 3, -8, -1892564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6243, 4, 5, -139, 2 in decreasing order.\nAnswer: 6243, 5, 4, 2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + 0 - 340\/70. Which is bigger: a or -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 13*b**2 + 7*b - 25. Let f be c(13). What is the highest common divisor of f and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -4*w, 3*z - 27 = -3*w - 9. Solve 2\/11*x**4 - 16\/11*x - 20\/11*x**2 + 16\/11*x**w + 18\/11 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 460039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6127*l + 297. Let a(s) = 124*s - 6. Let r(c) = 99*a(c) + 2*d(c). Let j(y) = -6*y - 2. Give r(j(g)).\nAnswer: -132*g - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4320*x**2 + 6110*x**2 + 18275*x**2 - 5357*x**2.\nAnswer: 23348*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1125 - 903. What is the common denominator of 25\/14 and ((-6)\/112)\/(13\/a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpzb when four letters picked without replacement from {z: 1, b: 2, p: 1, g: 1, a: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 1116.\nAnswer: 7\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1242\/7 - (1 - 1). Let c = 178 - h. What is the third biggest value in 2\/15, c, 2\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(3\/17)\/(b\/(b\/((b**4\/b)\/b))*b**0) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eykmke. What is prob of picking 2 k and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g + 2. Let z be f(-1). Let w(h) = -h**2 - h. Let x(b) = 2*b**2 + 3*b - 1. What is z*x(q) + w(q)?\nAnswer: q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/304 and 17\/12.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 194? (a) 12 (b) -2 (c) 1\/7 (d) 0.4 (e) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227151 is divided by 281?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199375147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -29 - (-310 - -320).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f + 5*f - 14*f + 166*f**3.\nAnswer: 166*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -2, -3, 4, -20, 1 in ascending order.\nAnswer: -20, -3, -2, 1, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 239807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1662 (base 9) to base 15.\nAnswer: 59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 10378290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2844913555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 15, -4, 0, 2230 in decreasing order.\nAnswer: 2230, 15, 10, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6034576 minus -0.0198?\nAnswer: 6034576.0198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/120*3 + 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 5394 - 1874 = 0. Suppose 6*t + 2*p - h = 2*t, -5*t - p = -200. Calculate the lowest common multiple of 104 and t.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ommm when four letters picked without replacement from {m: 7, o: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001247944 rounded to six decimal places?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 8)*(0*k + 0*k + 2*k**5) + 2*k**5 + 3*k**2 - 3*k**2.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3223.188 to zero dps.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3788, 7632, 11476, 15320?\nAnswer: 19164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 6:59 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, -166665 in increasing order.\nAnswer: -166665, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32579 + 32579. Factor 5*k**2 - 10\/3*k + p*k**3 + 0 - 5\/3*k**4.\nAnswer: -5*k*(k - 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25768, 50680, 75580, 100462, 125320?\n\"Answer: -k**3 + 24919*k + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -3 (c) -207 (d) -572\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(99) + 4)*-6*-4)**2.\nAnswer: 93312*sqrt(11) + 559872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -37. Suppose i*t - 12 = 0, -5*k + 5*t + 87985 = -k. What is k rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(8\/11))\/f**(-13)*f**(-2\/53)*f**(-6) assuming f is positive.\nAnswer: f**(4218\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {l: 7, t: 3, y: 8, q: 2}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20202 divided by 26.\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 70.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -3*s. Let f be (-4)\/6*(-5 + s). Suppose -f*u = 2*z - 134, -u - 4*z = -2*z - 38. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(55)\/(-4*-1*sqrt(11))).\nAnswer: -sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 2*s)*(4 - 4 + 1) - 14*s - 8*s + 0*s.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/26758022 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17568368 is divided by 172?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 - 1.9. Let g = -9.378 + 0.378. Let s = f - g. Which is the nearest to s? (a) -2 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 22. Suppose -2*c + 0*c + 76 = t. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264182?\nAnswer: 2, 31, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4789 or -4787?\nAnswer: -4789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8))\/((-2)\/4). Let a be (-1*x)\/((-2)\/(-3778)). Let o = 2799 + a. What is o rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let y be b(2). Suppose -9 = -y*s + 5. Let v = s - -9. Solve 6*k = 2*k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232593.\nAnswer: 3, 31, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d - 87*d = -57*d + 642884. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 + 4*f + 9. Let d be i(-6). Let s = d - -128. Solve -s = -u - 0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19564*u**5 - 13445*u**5 - 11678*u**5 + 0*u**3 + 0*u**3 + u**5 + (-u**5 + u**3 - u**3)*(-5 + 5 - 2) + u**5 - 2*u**5 + 0*u**5.\nAnswer: -5557*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1192 divided by 298\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -18. Let p(n) be the first derivative of n**4\/4 + 7*n**3\/3 - n**2 - 9*n + 4. What is the units digit of p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58\/168 - (-5)\/(-20). Let b = h + 5\/168. Are b and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009612444 to six decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, h: 1, c: 1, i: 1}. What is prob of sequence im?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, h: 3, v: 1}. What is prob of sequence hv?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (1 - 5) + 7. Let i be ((s - 1) + 1)\/2. Solve -t = -i*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3830 + -402. Is 9\/45 - s\/(-10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -948114?\nAnswer: 948113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.782713mg?\nAnswer: 5782713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 3840 = 6*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n + 17 - 60 = -262 + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38670348 a multiple of 1676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 70. Let y(p) be the third derivative of 1\/6*p**x + 0*p - 5*p**2 - 2\/3*p**3 + 0. Find the first derivative of y(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 441440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327335089 to the power of 1\/3, to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 943206, 29 in descending order.\nAnswer: 943206, 29, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 1718 = -3*k + 1718 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 20*h**2 + 14*h - 79. Suppose -37*k - 34 + 1033 = 0. Is p(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19398 - -738?\nAnswer: -18860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 1, -71, -0.3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 192283, 384566, 576851, 769138, 961427?\n\"Answer: f**2 + 192280*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2. Let x(l) = -14896*l - 630. Calculate x(h(g)).\nAnswer: -44688*g**2 - 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 51 * 2786\nAnswer: 142086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610.986 rounded to the nearest ten?\nAnswer: -2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 4*f - 4. Let y(a) = -3*a**2 - 7*a - 8. Let b(l) = 5*p(l) - 2*y(l). Calculate b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1251 + -1209. What is the remainder when ((-246)\/(-4))\/(3\/6) is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/15*(7 - 1). Suppose 19 = 2*k + 3*o, -k - 2 = -3*o + 2. Let r = -5 + 9. Solve -r*f - k*z + 12 = 0, 5 = 5*f - l*z - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - 5*a - 25*a - 23*a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(3\/2))\/(4\/10). Suppose 0 = v*k + 3*a - 9 - 10, -k = 3*a - 11. Solve k*x + 3 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z = 58*z - 1168. What are the prime factors of z?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -38 - 1) + -14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esqe when four letters picked without replacement from sssesqssessee?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 82.447.\nAnswer: 81.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 15*a**2 + 51*a - 28. Give o(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -9.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2855344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqajzjqzqzzzzq. What is prob of picking 4 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Let z(w) = 2*w**2 - w + 9. Let b = 32 + -31. Let f(v) = b*z(v) + 5*j(v). Factor f(g).\nAnswer: 2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:03 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -8 - -8) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4, -7 in increasing order.\nAnswer: -7, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 142?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3380654 is divided by 1128?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + -1. Let a = x + 5. What is the smallest value in -0.4, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32357)\/(-262)*(-32)\/104\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, v: 3, s: 4, e: 1, u: 4}. What is prob of picking 2 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 18*s + 22*s - 9, 7 + 5 = -2*o + 2*s - 1 + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5156*h - 513 = 4985*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -7*v**4 - 19*v**3 - 8*v**2 + 4*v = 0?\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1504, 3\/2?\nAnswer: 1504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Let j(k) = -3*k + 1. Let h(z) = j(z) + 4*y(z). Let o(q) = 23*q - 2. Let p be o(-2). Let u = 48 + p. What is h(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6786 - -6791. What is the nearest to -3 in -0.4, 0.5, g, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 - 11*c**2\/2 + 108*c + 1879. Determine o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*l - 239, -b + 227 = 4*b - 4*l. Suppose 2*c - b = -2*p - 15, -2*c = p - 13. Let a = p - 11. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)\/v**7)\/(v**(1\/5)*v\/(v\/v**13)) assuming v is positive.\nAnswer: v**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.4. Let o = 0.1 - 5.1. Suppose 2*y + 3*y + 4*z = 9, -z = -5*y + 29. Put y, s, o in ascending order.\nAnswer: o, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-3))\/((-2)\/(-6)). Let i = -1 - a. Let f = 1 + i. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81940644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 5 + 7*d + 3 + 0*d - d**2 + 6*d**3. Let q be w(1). Solve -o - 3 = -g - 2*o, q*g + 3*o = 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.8 and 0.57?\nAnswer: 4.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 36?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5636952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**3 + 7*j**2 - 6*j**2 + 4*j**2 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 11. Let q(i) = 4*i. Give q(s(r)).\nAnswer: 16*r + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9 + 55\/39600*-1065?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*h = -21, 0 = -3*c - 4*h + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*m + 4*b = -604*m + 12, -m = -6*b + 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 15 = 0. Suppose -5*u + 2*z + 147 = 0, r*z = -u + 6*z + 32. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 6. Suppose 0 = -2*t - 2*b - 2, 13 + 22 = -3*t + 5*b. Calculate the remainder when 25 is divided by x(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-158)\/(-1) + (13 - 9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9080*k - 6080. Let v be z(-8). Round v to the nearest one hundred.\nAnswer: -78700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 2. Let x be c(2). Let h = 28 - x. Let d(t) be the third derivative of t**4\/24 - t**3\/2 + 22*t**2. Calculate d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 729\/(-4131)*1\/9. Let y be 2\/4 - (-2)\/4. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 75.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203662 + -5?\nAnswer: -203667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*z + 57*z - 1 - 114*z + 20*z**3 - 5*z**2 to b*z**3 + m*z + j + p*z**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 301424, 4 in decreasing order.\nAnswer: 301424, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10766 and 39988?\nAnswer: 279916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122010 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from {c: 1, o: 1, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 31879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 134*l**3 + l**2 - 3*l + 2. Let f be v(1). Suppose -i = i - f. Suppose -2*j = -i - 157. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -18395003\nAnswer: 55185009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqlhhvflvlohfq. Give prob of picking 1 l, 1 f, and 1 o.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11175 - -11255. Suppose 0*p + 4*p = 16. What is the highest common factor of p and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 133, 183, 231, 277, 321, 363, 403?\n\"Answer: -l**2 + 53*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534016569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (1 + -21) - 29.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 1:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(5)*3)**2 + 2)*-3.\nAnswer: -1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (sqrt(175) + 1*sqrt(175) + sqrt(175))*-5 - -3*(0 + sqrt(175)))**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 2*a - 2*a + (a + 0*a + a)*(-2 - 1 + 1) - 6*a + a + a to y + l*a and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and -12*(22\/(-3))\/11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)\/s)**(14\/11)\/(s**(-1\/3))**(-4\/17) assuming s is positive.\nAnswer: s**(-4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 74*u. Let j be b(37). Suppose j*q = 6*q - 90. Sort -4, 1, 5, q.\nAnswer: -4, 1, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 5*f + 209, 113058*h - 35 = 113039*h + f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4073 + -1?\nAnswer: -4074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k. Let w(m) = -22*m - 19*m + 39*m. Give d(w(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24426 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(175) + -3)*-6 + -4 + (sqrt(175) + -4)*-5)**2.\nAnswer: -440*sqrt(7) + 21191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cucu. Give prob of picking 2 u and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.649024 millilitres?\nAnswer: 0.009649024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 56*a**4 - 384*a**3 - 6728*a**2 - 12100*a - 5808 = 0. What is a?\nAnswer: -12, -11, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 931506790 to the nearest 100000.\nAnswer: 931500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-174) + (-269)\/116. Which is the closest to u? (a) 1 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**2 - 2 + 2*y - 15*y + 16*y**2 + 8*y + 5*y**3 - y as i*y**3 + b*y**2 + k + p*y and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/54)\/((-2)\/3). Let q = 2.0245 + -0.0245. Let u = 28.1 - 28. What is the closest to q in u, c, 14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -683 - -1690. Suppose -2*x + 10*n - 8*n + 112 = 0, -68 = -x + 5*n. What is the highest common divisor of x and v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2730000 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.068, 27.9, -3, -2, 3, 40 in descending order.\nAnswer: 40, 27.9, 3, 0.068, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2760 = 2*m - 2762, 7*m - 3*m - 10 = 3*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49332 is divided by 12099.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, 521438 in increasing order.\nAnswer: -16, -5, 521438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 639 + -646. Suppose 0 = 4*q + 4, 3*q = 4*g - 0*q + 13. Let l(k) = -2*k - 7. Let n(w) = 4*w + 13. What is g*n(b) + m*l(b)?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20215 and 3222271.\nAnswer: 16111355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 + 1. Let p be b(-1). Let w(d) = 5*d**3 + 6*d**2 - d + 1. Let v(l) = 6*l**3 + 6*l**2 + 2. Let r(q) = 4*v(q) - 5*w(q). Determine r(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*b**5 + 3*b**5 + b**5 + (1 + b**2 - 1)*(4*b**3 - 3*b**3 + b**3) + (b**2 + b**2 - 3*b**2)*(-1 + 2*b**3 - b**3 + 4).\nAnswer: -7*b**5 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8470*m**3 + m - 8011*m**3 + 16466*m**3.\nAnswer: -15*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + -9. Let g = -21.7 - y. What is the biggest value in 1, g, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/2)\/(-104) + (-809074)\/(-91) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q + 457. What is l(-12)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697427527.\nAnswer: 4789, 354443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*28\/8*(-12)\/(-21). Solve 11*x - u = v + 16*x, -v = -5*x - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-120)\/(-9))\/(1\/3). Let n(a) = a**3 - 11*a**2 + 5*a + 16. Let z be n(11). Suppose -68*p + z*p = 15. What is the greatest common factor of p and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 175, -49, -635, -1763, -3613, -6365, -10199, -15295?\n\"Answer: -30*u**3 - u**2 - 11*u + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17367388067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*o + 69, 4*v - 5*o - 44 = 33. What is the lowest common multiple of v and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2411010 (base 5) to base 7.\nAnswer: 243516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -438.493 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*100.419522\nAnswer: -10.0419522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - 32. Let y = a - -51.947. What is y rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2986) + 2535\/195 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253618 - 195\nAnswer: -253813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -36, -69, -112, -165?\n\"Answer: -5*s**2 - 8*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 60. Let i be (-15)\/2*(-8)\/j. Solve i*s - 26 = -h, -8 - 10 = -4*s + 2*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1, -4 in descending order.\nAnswer: 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 569.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 56056496 + -110\nAnswer: 56056386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 8*d**2 + 0*d**4 + 0*d + 0*d**6 + 0*d**3 - 1\/12*d**5 + 1\/21*d**7 + 0. What is the third derivative of s(r) wrt r?\nAnswer: 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 429*j + 31*j - 5520. Is j at least as big as -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Let c(a) = 4*a. Let d be c(n). Calculate the highest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 22*h + 15*h)*(4*h - h - 2*h)*(236 - 16*h - 236).\nAnswer: -96*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 22 + 132*g - 8*g)*(-g - 3*g + 2 + 3*g) in the form h*g + u*g**2 + o and give u.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from zsszss?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15296855 - 7?\nAnswer: 15296848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03742029867 to four decimal places.\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49708 - 873?\nAnswer: 48835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17401 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 1, j: 4, x: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-20)*55\/(-9)*30\/(-20).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 517 = 8*s. Is s a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3614*u - 3594*u - 10. Solve -3*s - 50 = 5*m, -s + u*s = 2*m + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((183\/(-11346))\/(2\/20)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -20. Calculate the remainder when 33 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from fffyykcfykffkk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 254066460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9715867 millennia?\nAnswer: 97.15867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 times -53770?\nAnswer: 25271900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -60. Suppose -3*g + 30 = -0*g + 2*z, 0 = -l*g - 3*z + 25. Solve 0 = 4*f + g + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 5}. What is prob of sequence vaaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -1 - (-116 - -123)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.2230653.\nAnswer: -0.011153265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 352\/33 - (-1)\/3. Suppose -o*w = -5*w + 18. Sort w, 7, -2.\nAnswer: w, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12817603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232797091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-279)\/(-4) - 2\/(-8) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -29*w + 25*w + 32, 0 = 5*n - 5*w - 20 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/20)\/(25\/(-15))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81337 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4945 (b) 20\/37 (c) -6\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3455*i = -3511*i - 840 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 118. Suppose -5*o + 120 = -s. Let r(g) = 11*g**2 + g - 1. Let v be r(1). What is the highest common factor of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 9, r: 3, a: 6, g: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 16*u**2 + 16*u - 12. Let j be r(15). List the prime factors of (j - 5)\/(2\/(-398)).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w**2 + 741*w - 7. Calculate j(67).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -21, 54, 3.79?\nAnswer: 3.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 789768.5639364 - 789769.9. Let s = y - 1.6639328. Let x = -3 - s. What is x rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -7*w**6\/10 + 87*w**5\/20 - 8*w**4 + 2*w**3 - 2*w - 8. Find q such that r(q) = 0.\nAnswer: 0, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432\/15 - 2\/15*h**2 + 286\/3*h = 0 for h.\nAnswer: -1, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-1)\/(-3) - 141\/(-99). What is the third biggest value in 0.2, 2, c, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 480 = 4*w + 108, -3*w + 5*r + 272 = 0. Suppose 0 = y - 5 - w. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**8\/560 - x**7\/70 + x**6\/20 - x**5\/10 + x**4\/8 - 2*x**3\/3 + 4*x**2. Let m(q) be the first derivative of g(q). Factor m(u).\nAnswer: 3*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.5, 3, -24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 0.444.\nAnswer: -0.5772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260855390, -521710777, -782566162, -1043421545, -1304276926, -1565132305, -1825987682?\nAnswer: -2086843057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*y - 12. Let u(d) = 6 - d + y*d + 5. List the prime factors of u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 9*f**2 + 9*f - 4. Let y be s(8). Suppose -y*o + 0*o = 69880. Let t = -46470 - o. What is t rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**5 + 2217*g**2*t**2 - 57*g*t**2 - 2*g*t - 8*t**2 + t wrt g?\nAnswer: -60*g**3 + 4434*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/(-40)*(-105)\/6. Suppose 3*u = -l + 58. Factor -4\/3*c**2 + 2\/3*c + 4\/3 - 2\/3*c**u.\nAnswer: -2*(c - 1)*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 259667 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 4*n + 7*n**3 + 10*n**2 - 11*n**2 - 6*n**3 + 2*n**4 to h + m*n**4 + b*n + s*n**3 + l*n**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1950*x - 38997. Calculate k(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0*u**3 + 0 + 0*u - 79*u**2 - 2\/5*u**4 + 1\/75*u**5 + 1\/150*u**6. Factor b(g).\nAnswer: 4*g*(g - 3)*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 + 2*f - 5. Let z be d(5). Let w = z - -1. Let q = 11 - w. Solve -b + 6 = -0*h - q*h, -b - 5*h = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960578 and 39346?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/14 + 44\/(-154))*6. Let b be (-4 + 0)*(-3 + 2). Suppose l = -3*j + 321, -b*l = j - a*l - 105. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3065 - 12?\nAnswer: 3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.845909 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z - 170*z + 227360 = 16*z. Solve 6*l - z = -1586 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26, 48, 108, 224, 414, 696, 1088?\n\"Answer: 3*l**3 + l**2 - 2*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (41 - 34) + (-1 - (-1)\/(-1)). Suppose -24*l = -y - 26*l + 1004, 5065 = w*y + l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-3)\/18). Calculate the remainder when (37\/(-3))\/(x\/(-12)) is divided by 2\/1*(-1 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347607084 divided by -57934514\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 1. Let r(n) = 2*n**2 - 8*n**2 + 0 + 5*n**2 + 1. Let w(u) = -u + 1. Let i be w(2). Give i*r(j) - b(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 486 + -212. What is the lowest common multiple of p and 6?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5682279 is divided by 311?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -3)\/((-6)\/4). Let v = -8 - -3. Let g = 666 + -665.9. What is the closest to g in q, -3, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60435, 60437, 60439, 60441, 60443, 60445?\nAnswer: 60447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6201 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninnznz. Give prob of picking 2 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/5, 0.22, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1531.780362 nanoseconds to weeks.\nAnswer: 0.000000000002532705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -18, 15\/13, 3, -5, -0.04?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9 + 2*t**2 - 3 - t**2 - 7*t - 2*t. Let d be w(9). Let l = 22 + d. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = -89 + 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12))**(-3\/2)\/(s**(1\/30)\/s**12) assuming s is positive.\nAnswer: s**(899\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84, -435, -1016, -1827?\n\"Answer: -115*b**2 - 6*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7\/o**(-4)*o**(-1\/8)*o\/(o\/o**(-1\/6)) assuming o is positive.\nAnswer: o**(257\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42338029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4195210096.9999883 + 4195209822. Let w = 275 + r. Round w to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 3678019 in decreasing order.\nAnswer: 3678019, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9822 minus -3?\nAnswer: 9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17688, 41161, 64634?\nAnswer: 88107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/2 - 15*x**2\/2 + 5*x\/2 + 15\/2.\nAnswer: -5*(x - 1)*(x + 1)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-28\/9)*j)\/(j\/(j*j**(2\/67))))\/(j\/(j**(-12)\/j))**(1\/20) assuming j is positive.\nAnswer: j**(26779\/6030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 7*c + 21. Give j(-14).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7542693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*f + 1 = -0*h, 3*h - 3*f = 0. Let u be 9*h\/9*-3. Let t(j) = 4*j - 2. Calculate the remainder when t(u) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*o**3 - 2*h*o + 1269222*o**3 + 116287*o - 7 wrt o.\nAnswer: 12*h*o + 7615332*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 52*b - 7. Is v(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5527285*r**3 + 4059874*r**2.\nAnswer: 33163710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*v + 112*v - 4*v**3 - 14*v**2 + (4*v**2 - 2*v**2 - 5*v**2)*(4 - 2*v - 4) as q + x*v**3 + r*v + l*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*b**3*j**4 - 15*b**3*j + 404*b**3 with respect to j.\nAnswer: -56*b**3*j**3 - 15*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -0.371 (c) 9\/5 (d) 3\/2 (e) -3\/7 (f) -183 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3 (c) 752 (d) 2\/7 (e) 783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -748, -763, -740, -667, -532?\n\"Answer: 2*b**3 + 7*b**2 - 50*b - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -4651?\nAnswer: -18604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23997790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 4?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((-2)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-6) + 2\/3. Suppose -o*n - 7 = -7*n. What is the highest common factor of 28 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2 - 0\/(-1)). Suppose n = -i + f - 3*f, i - 4*f - 6 = 0. Suppose -3*w + 4*w = 0, -5*v = 4*w - 25. Solve 25 = -s - 5*g, 3*s + v = i*s - g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1715260 divided by -2\nAnswer: 857630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9511241 to the nearest integer?\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 182, 13.\nAnswer: -2, 13, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10998168*g**2. Let u(m) = 6*m**2. Determine s(u(q)).\nAnswer: -395934048*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23174 or -23288?\nAnswer: -23174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(51)\/sqrt(27) - -3*sqrt(272)) - (sqrt(170) + -5*1*sqrt(170))\/(-6*sqrt(160))).\nAnswer: -12 + 146*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -33*s**2 - 4*s - 13. Let o(f) = -133*f**2 - 19*f - 58. What is 9*i(z) - 2*o(z)?\nAnswer: -31*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4808053\/135 + -35615. Find the common denominator of w and -79\/33.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - 2*u + 14 = 0, 0 = -5*l - 4*u + 25. Let f(b) = -2*b**3 - 2*b**2 + 6*b + 9. Let h be f(-2). Solve -l = -h*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 6 + 4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38572238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 0.2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 36. Suppose 2*i - m = 59. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilyjg. Give prob of picking 1 g and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1716)\/(-154) + -10 - (-30602)\/14. Calculate the highest common divisor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2886 - 7997?\nAnswer: -10883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 5*s - 3 - 4*s**2 + 9*s + 6*s**2 - 15*s as t + y*s + b*s**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 - 17 + 10 + 9*j**2 + 2*j**3 to w*j**3 + y*j**2 + s*j + l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 - 146. Let k = j - 75. Which is the second smallest value? (a) 0.2 (b) k (c) -2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 720, -3276, -7274, -11274, -15276, -19280, -23286?\n\"Answer: -i**2 - 3993*i + 4714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 8*a - 8. Determine w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfddy. Give prob of picking 3 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 185 - 89. What is the remainder when 339*8*(-4)\/r is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -13*b**3 - 3*b**2\/2 - 49*b + 2. Let j(y) = y. What is j(l(t))?\nAnswer: -78*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48608, -97789, -146970, -196151?\nAnswer: -245332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 141d70 + -d?\nAnswer: 141d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 - 2*t - 5. Let k be -3 + 10 - (0 + 1). Let z be k\/(-10) - (-6)\/(-15). Let b(m) = -m**2 - 1. Give z*x(l) + 4*b(l).\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-140))\/((-10)\/(-75)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:49 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13366537, -26733073, -40099609, -53466145, -66832681?\nAnswer: -80199217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17555784?\nAnswer: 2, 3, 89, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27059 is divided by 9006.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -103 + 13. Let u = 50 - x. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6f39 (base 16) in base 13?\nAnswer: -cc63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 9, 3*v = 7*v + 5*o - 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*x**4 + 2210*x**3 + 2508*x**2 - 3080*x + 688 = 0. Calculate x.\nAnswer: -43, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.11, 7, -0.3, -2, -5, -11.58, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 561, -13, 0 in decreasing order.\nAnswer: 561, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 108*i. Let m(u) be the second derivative of u**3\/3 - 923*u. What is r(m(k))?\nAnswer: 216*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -113, -173, -231, -287?\n\"Answer: w**2 - 65*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62*u - 537 + 537)*(0 - 4 + 3) + 0*u - u + 2*u to s*u + x and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40367736 + -18366884. Suppose 5*v = 45999148 + t. Suppose m = -m - v. Round m to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 3, e: 1, z: 1, i: 7}. What is prob of picking 1 z and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwuaiuwlblwwaii. Give prob of picking 2 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 14*p**2 - 14*p - 9. Let o be i(-13). Suppose -2*t - 6*w = -w + 5, 4*t + o = -4*w. Suppose -5*b + 11 - 1 = t. Solve -b = 2*d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 15*j + 7. Suppose -5*h - i - 2*i = 56, 5*i - 28 = h. What is the smallest common multiple of 30 and n(h)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734*z - 736*z - 728*z + 2200*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/9 and 8\/105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7287559 hours in seconds?\nAnswer: 2623.52124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -122, -245, -376, -521, -686, -877?\n\"Answer: -o**3 + 2*o**2 - 122*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*y - 19 = 0, -h + 4 = -2*y - 0. Let a = -50 + h. Let m = -57 - a. Let q(w) = w**3 + 6*w**2 + 3*w - 5. Give q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(612)*-2 + 5)*-4 + 2 + (-1*sqrt(68)*-1)\/sqrt(4))**2.\nAnswer: -1764*sqrt(17) + 41145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 0.4 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/29, -0.3, 2\/3, -0.4, 0.2, 1\/20?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1122433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1423, -1469, -1517, -1567?\n\"Answer: -d**2 - 43*d - 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26661768 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -2\/15, -4, 141?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*v + 12 - 3 + 5.\nAnswer: 251*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -2*w - 24, 0 = -2*w + 4*g - 30. Let l be 3 - (-37)\/w - -2. Let c = 6 + -11. What is the closest to l in c, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 9*o**2 - 2*o + 18. Determine p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3466520 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*n + 46*n + 35*n**2 - 125*n + 38*n - 2 to i + c*n**2 + b*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -14. Solve -10 = -2*d + l, 4*d - y = d + 5*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31, 37, -18, 0, 8 in descending order.\nAnswer: 37, 8, 0, -4, -18, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 18?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 - -0.6. Let v be (4\/30)\/(6\/(-9)). What is the closest to 0 in c, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 544858 from 16.\nAnswer: -544842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = 5*r - 9*r, 2*r + 24 = 3*p. Suppose -z + 3*h + p = 0, 4*z + 0*z = h + 7. Let w(m) = -m**2 + 6*m + 1. Let o be w(6). Is z < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3 - 7, a = -3*n + 6. Let o = a - -2. Let r(h) = h**2 - h + 8 - h**o - 4*h**2 + 5*h**2. Determine r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166547 divided by 1?\nAnswer: -166547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(171)\/(-4*sqrt(45)\/sqrt(5)) + ((sqrt(304)*-2)**2 - (-4 + 0 + sqrt(19))).\nAnswer: -5*sqrt(19)\/4 + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 + 2*u + 2. Let b be j(4). Let h be 4\/(-12) + b\/6. Let n = 17 - h. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 39 - 3. Solve 0 = 5*n - i + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20691 and 14018697.\nAnswer: 266355243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) - 2409\/(-27). Let t = -58 + p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432 (base 10) to base 7\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.6. Let v = 0.84 + 3.16. What is the closest to 1\/2 in -1, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 342?\nAnswer: -239.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -92, -179, -320, -533, -836, -1247, -1784?\n\"Answer: -3*u**3 - 30*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -826548, -826570, -826592, -826614, -826636?\nAnswer: -826658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j = -23*j - 236. Suppose j + 722 = f. Is f a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01648324211 rounded to six decimal places?\nAnswer: 0.016483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3127, -3140, -3161, -3190?\n\"Answer: -4*s**2 - s - 3122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqqqqqfq. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-253)\/(-46)*-4*(-5)\/110?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(45) + 2)**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -30*v + 83. Let w(f) = 44*f - 125. Let p(j) = -8*a(j) - 5*w(j). What are the prime factors of p(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18063501\/215 + 84016. Find the common denominator of -32 and u.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -124*m**2 - 517*m + 4. Let c(v) = 495*v**2 + 2068*v - 18. Let w(y) = -2*c(y) - 9*p(y). Find the second derivative of w(h) wrt h.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3081 (base 11) to base 4.\nAnswer: -333302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88049 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37516449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(-3*x - x + 2*x)*(1 + 4 - 3) - 81*x + 49*x + 58*x to the form r + d*x and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 464587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 447684 - 702254. What is s rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**2 + 4*b**4 + 28*b**3 + 40 - 40 - 26*b**2 = 0. Calculate b.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, d: 1, a: 2, l: 1, b: 2, j: 2}. Give prob of sequence hl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319 - 77. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105.1 + 98. Let j = 6.7 + l. Which is the second biggest value? (a) 0.3 (b) j (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-20) + 3\/4. What is the biggest value in m, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4 - 3075*d**3 + 124056*d**2 - 459228*d + 446880 = 0.\nAnswer: -1064, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -10\/59 in ascending order.\nAnswer: -10\/59, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + 2cd?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 4018?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.6 in 4, -1\/572, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 5*y**2 - y + 1. Let j(s) = -s**3 + 3*s**2 - s + 1. Let a be j(3). Let z be a*2\/8*10. Let o be l(z). Solve h - 1 - 1 = -r, -2*h = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 + -0.02. Let w = 0.6113 + 1.3887. Which is the biggest value? (a) w (b) p (c) 0 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*l + 510 - 505, 3*l - 3*i - 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (1 + -4 + 2) - (-401 - -379)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -102\/511?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4209107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.5 take away -0.0308?\nAnswer: 394.5308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {r: 2, x: 4, e: 7, s: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 - 43*f**2 + 165*f + 620. Calculate h(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 55 = -5*q, 3*n + 41 = 3*q - 8*q. Let d be n\/(-8 - -6) - 1. Put d, -3, -38 in descending order.\nAnswer: d, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -57*h**2 - 132*h + 33. Let k(z) = 7*z**2 + 16*z - 4. Let v(o) = 33*k(o) + 4*t(o). Let w(m) = -2*m - 11. Determine v(w(j)).\nAnswer: 12*j**2 + 132*j + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 96. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5407.5 - 5407. Which is the second smallest value? (a) o (b) -2 (c) -2\/53 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -19 - (-481 + 398)) + -18.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**28*p)**(-3)\/((p*p**0)\/p*p*p\/(p\/(p*p*p**3\/p)*p)) assuming p is positive.\nAnswer: p**(-97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189 - 189.00000091. What is l rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - (2 + (2 - 2)). Let i be 8\/((-2)\/(-1)) - (-46 - -46). Let z(m) = m + 0*m - h*m - 7 + i*m. Calculate z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 2 = -86. Let j be (-2)\/s - (4726\/(-3) - 6). What is the greatest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 49*k + 8. Let n(s) = 321*s + 51. Calculate 33*f(w) - 5*n(w).\nAnswer: 12*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(5\/2)*n**(1\/4)*n**(2\/7)*n\/n**(-3\/4))**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -232 + 645. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 - 47253313*d + 94506627*d + 5 - 47253314*d - 5.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 15*b - 28*b. Let h(i) = 4*i. Determine h(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 6*i - 6. Suppose 5*t - 32 = 78. Let k = -10 + t. Suppose k = -2*q - 0. What is d(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7932518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 y when three letters picked without replacement from {y: 3, i: 2, s: 1, o: 6}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29190595.\nAnswer: 5, 7, 37, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 g when four letters picked without replacement from nzeezgeoeegezgzge?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72028727?\nAnswer: 72028727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.34? (a) -1 (b) -9 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*s + 2*s + 14 = 0, f - 4*s = -10. Suppose 2*y = 8*o - 3*o + 7, f*o + 22 = 4*y. Solve -2*i - y = -0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 93*m + 1022. Let s be q(-11). Which is the nearest to s? (a) 4\/3 (b) 0.01 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(4 + 1 - 4 + (-4 + 3 + 2)*(2 - 1 + 2) - 2 - 2 + 5)*(-3*j**2 + 2*j**2 + 2*j**2) to a*j**2 + d*j + r and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382168 is divided by 52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13005*b**2 - 13014*b**2 - 13004*b**2 - 21*b**3 - 13008*b**2 - 13008*b**2 + 65039*b**2.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a750 - 114?\nAnswer: -a864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215.18 + 214. Round i to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12212 - 3024?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 380b51 (base 15) to base 14\nAnswer: 4dca60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 1094*t\/3 - 7700.\nAnswer: -2*(t + 22)*(t + 525)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6*x - 24858*m**3*x**2 - 8*m**2*x**2 - m**2 - 45601 wrt m.\nAnswer: -360*m**3*x - 149148*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 4\/4 - -166 - (3 + -1)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 15*q**5 - 33 + (q**2 - q**2 + 2*q**2)*(-q**3 + 2*q**3 + 2*q**3).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 556*g**4 - 13*g**3 + 1218*g**2 - 85288400.\nAnswer: 2224*g**3 - 39*g**2 + 2436*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 + -265. Suppose -2*z + 6 = z. Suppose -z*i + 3*l + 27 = 0, -4*i = 4*l - f*l - 44. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p. Let i be (-11)\/22*(-7 + -1). Let s(l) = 27*l - i*l - 17*l. Calculate s(u(n)).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, -2\/5, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 186489786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 202785?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39018 divided by -13006.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, 12, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -14. Suppose 5*t = -j - 55. Let z = 13 + t. Solve z = 6*i - 3*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642047 (base 8) in base 3?\nAnswer: 1212211102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423 - -215?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -4 + o + 5\/2*o**2 + 4\/3*o**3 - 1\/4*o**4. Calculate t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59993819 is divided by 902.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 358*o - 361*o + 11, -t + 3 = o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41, -3, 4 in decreasing order.\nAnswer: 41, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/(-208) - -22*(-9)\/528.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -u - 92. Find the second derivative of 27*k**5 - 2*k**4 - 53 + 78*k + 51 - u*k**5 wrt k.\nAnswer: 360*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3195825 at most 3195812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/9)\/(395\/237)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5319 - 4419. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 3*k**2 - 4*k. Give u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 47 + 3*k**2 + 87.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 112\/5*d**4 + 0 + 0*d**2 + 0*d - 2\/5*d**5 + 114\/5*d**3 = 0?\nAnswer: -1, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -22.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*o**4 + 89*g*o**3 - 2*g - 2*o**4 + 26*o**2 wrt o.\nAnswer: 48*g*o + 534*g - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(9\/2)*u)**(1\/42) assuming u is positive.\nAnswer: u**(13\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z - 35 - 1 + 1. What are the prime factors of c(35)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -64*u - 24. Let v be d(-5). Let l(q) = -q**2 - q + 37. Let i be l(0). Calculate the greatest common divisor of v and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12320 + 111?\nAnswer: -12205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39186 is divided by 13059.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 8 = 0. Let y = j - -9. Suppose -z + y = 1. What is the greatest common factor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/3)*(x*x*(x*(x**1*x)\/x)\/x)\/x*x*x)\/((x**(-2\/5)*x)\/x*x\/x**3))**(-5\/3) assuming x is positive.\nAnswer: x**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 2*l - 3. Let c = 1 - 3. Let u = c - 0. Let x be f(u). What is the greatest common divisor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/1 + (-200745)\/(-24). Let i = f - 8353. Find the common denominator of 47\/10 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = 25*c - 14*c. Let x = -73 + 32. Let u = x - c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 102*z**2 - 108*z + 237. What is b(2)?\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlzhlllh. What is prob of sequence lz?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 12 - (-1 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwc when three letters picked without replacement from yttwtttwttwtwwctttt.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/108231560 and -29\/21646312.\nAnswer: 108231560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, v: 4, i: 2, w: 4, y: 6}. Give prob of picking 1 y and 3 t.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 10. Suppose m*a = a + 6. Let n = a + -1. Solve 0 = -4*o + n*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -581 and 0.4?\nAnswer: 581.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 726\/7 - 104. Suppose 2*o = -2*o + 24. Suppose -o = -2*j - j. What is the nearest to -1\/2 in m, 0.2, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10607278*i**4*k**3 - 40548735*i**2*k**3 wrt i.\nAnswer: 254574672*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwb when three letters picked without replacement from {b: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hddd when four letters picked without replacement from hdddhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/4*(-8)\/5. Let r be (4 - 3)*(2 - 5) - -16. Suppose -2*b - 3 + 13 = 0. Solve -r - a = -b*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5860.5 + -5860. Let l(x) = -x**2 + 5*x + 6. Let n be l(6). What is the nearest to -0.3 in n, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 169 = 167, 12 = -4*r + 2*o. Put 5, 4, 101, r, 3 in decreasing order.\nAnswer: 101, 5, 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-42))\/((-2)\/7). Let u(w) = 1 - 116*w + 2 - 1. Let t be u(j). Calculate the greatest common divisor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*w = 3*l - 24240000, 0 = -4*l + 4*w - 48480000. Round l to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/(z*z\/z**(3\/2)))\/(z**2\/z))\/((z*z**1)\/z)**(8\/5))**(-3\/10))**45 assuming z is positive.\nAnswer: z**(297\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14599947*h**3 + 13843*h**2 - 2*h - 186.\nAnswer: 87599682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*((sqrt(3) - sqrt(15)\/sqrt(5))*2*6)**2 - (2*sqrt(1188) - sqrt(1188))\/((sqrt(11) - (sqrt(11) + 1*sqrt(11)))*4 - sqrt(11))).\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -883*i**2 + 667*i - 698. What is the first derivative of l(k) wrt k?\nAnswer: -1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -15*h**5 + 20*h**4 + 65*h**3 - 90*h**2 - 20*h + 40 = 0?\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4\/11))**(1\/4)\/(y\/(y\/(y*y**4*y))*y)**(-4\/7) assuming y is positive.\nAnswer: y**(183\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 510*j**5 + 225604*j**4 + 24990230*j**3 + 8983208*j**2 - 390728*j = 0.\nAnswer: -221, -2\/5, 0, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3\/8*x**5 - 3315\/8*x - 303\/4*x**2 - 2025\/8 + 315\/4*x**3 - 57\/8*x**4 = 0.\nAnswer: -27, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x. Suppose 0 = -3*l - o + 2, 0 = l - 4*o - x + 8. Let n(f) = -f**2 + 3*f - 1. Let c(p) = p. Let j(v) = 4*c(v) - n(v). Determine j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 5) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v**11\/v)*(v*v**(-12))\/(v\/((v\/(v\/v**16))\/v*v)))**(-24) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 4*h**3 + h**3)*(0*h + 0*h**2 + 1 + 3*h - h**2).\nAnswer: 2*h**5 - 6*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -37. Let c be 0\/(-1 - f\/(-3)). Let z(t) = -t**2 + 7*t - 5. Let u be z(5). Sort c, u, -3 in ascending order.\nAnswer: -3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 9 = -5*o, -5*p + 205 = 4*o + 244 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1823 (base 16) in base 10?\nAnswer: -727075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - ((14 - 1) + 258\/(-43)). Let p(i) be the third derivative of 0 + c*i + 7\/6*i**3 - 1\/4*i**4 + 45*i**2. Find the first derivative of p(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52028, 104056, 156084?\n\"Answer: 52028*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 12\/7 - (165\/35 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2. Let u(f) be the second derivative of -f**3\/2 - 62*f. Calculate o(u(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1543 + 1642. Calculate the remainder when 690 is divided by x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895.0653 rounded to 0 dps?\nAnswer: -1895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 1, f: 2, s: 1}. Give prob of sequence tff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24710 divided by -10\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 12. Let j be d(-5). Suppose -5*i + 208 - 63 = -5*h, j*h = -2*i + 70. Calculate the greatest common divisor of i and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**2 - 47*a + 16. Let u be n(-8). Solve 13*y + u = 15*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001238 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10010111?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/20 + b**4\/6 - b**3\/2 - 6*b**2 - 383*b. Let n(u) = 2*u**3 + 3*u**2 - 4*u - 13. Give 3*n(q) - 4*s(q).\nAnswer: 2*q**3 + q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 650252700 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*i - 49 + 49 + i to the form w*i + d and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 2131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 3*i + 3. Let x(j) = j + 1. Let s(q) = a(q) - 3*x(q). Suppose -19*d - 2 = -20*d. Let f(l) = 194*l - 207*l - 2 + d. What is f(s(n))?\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 48*k + 684. Calculate the remainder when 1047 is divided by b(59).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 5, 2\/13, -1 in descending order.\nAnswer: 5, 2\/13, -2\/9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (268\/(-6))\/((-4)\/6). Let d = -40 + l. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = -6*u, -3*u = 3*q + 114. Let n = 217 + -167. Let g = n + q. Solve 0 = -3*x - k, -2*k = -2*x + 3*k - g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 3*q**3 - 28*q**3 + (-2*q + 5 - 6 + 4*q)*(-6*q**2 + 3*q**2 + 4*q**2) to k*q + u*q**3 + j + n*q**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 171276296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 14*b - 2*q - 2, 0 = 5*b + 2*q - 6. Solve 0 = -b*f + 3*j - 12, -3*j = 5*f - 0*j - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80722\/23 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -48, -94, -158, -240, -340?\n\"Answer: -9*w**2 - w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -193, -182, -167?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -780*q**2 - 1565*q - 3. Determine t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -41303?\nAnswer: -41301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -149, -190, -185, -116, 35, 286, 655?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(0\/3 + (-3)\/18). Suppose 17 + 17 = x + 4*o, 0 = x - 4*o + s. What is the highest common factor of 56 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334 - 247. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -36.999986. Round o to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or -389\/1931?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304324575.\nAnswer: 3, 5, 4057661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 0 - (-279 - -275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*l - 90 - 87, -3*u + 495 = -3*l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 9*d - 3*d + 18*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13*b**2 - 90*b + 204. What are the prime factors of i(17)?\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/4 (c) -65 (d) -1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2502.1737 microseconds?\nAnswer: 0.00000002896034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 times -699692\nAnswer: 16792.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {l: 6, c: 2, b: 3, e: 4, o: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 45 = 5*n, 12 + 6 = n + 4*t. Solve 3*g = -0*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-5 + (13 - 4)))\/((-9)\/618). What is the fourth smallest value in 2\/11, 4\/7, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*c + o, -4*c + 32 = -663*o + 659*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u - 10*u**3 + 12*u**3 + 240*u to k + h*u + o*u**2 + d*u**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (37\/(7548\/(-306)))\/((-3)\/(-64))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 + 7*k + 9. Let p be u(-6). Suppose -2*y = 5*z - 30 - 15, -4*z + 4*y + 64 = 0. Let j = z - p. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*q + 560*q - 56*q)*(-3*q + 17*q - 82*q) to u + k*q + y*q**2 and give y.\nAnswer: -28424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 502301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 3870829\nAnswer: 6\/3870829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*w + 113*w + 1 - 2 - 219*w - 56*w**3 as c*w**3 + d*w + s + f*w**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 104.\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-10)\/(-12)))\/((-6)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091788999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 4 - 7)*(-8 - 4 + 17*s**2 - 15*s**2).\nAnswer: 10*s**2 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 5) + 1 + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 4, l: 5, m: 1}. What is prob of sequence lmdd?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddxxgxdgdgrldx. Give prob of picking 1 l and 1 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:26 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/(4\/(-144)*6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 64. Let h be q(-11). Is h\/(-7) - 612\/(-84) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 116*l + 107*l - 219*l. Let g(r) = -3*r**2. Give i(g(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 - 75*g**2 - 130*g = 0. Calculate g.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/81 + -74\/891. Let h = -33.83 - -34. Let l = h + -0.07. Sort u, -5\/6, l in decreasing order.\nAnswer: l, u, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88bb3 (base 12) to base 6.\nAnswer: 3515543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268 by -35590.\nAnswer: 134\/17795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 3. Calculate the least common multiple of m and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*r**2 - 46*r**2 + 189*r**2.\nAnswer: 95*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4566\/18 - -6 - 5)*(-795)\/2. What is x rounded to the nearest one thousand?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 70, 110?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*s - 12 = -0*s, -3*s = -2*b + 8. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503430 rounded to the nearest 1000?\nAnswer: -503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 40*n**2 - 2*n - 79. Determine j(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -175, -183, -195, -211?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 3. Let x be k\/(1 - (-1)\/(-2)). Solve x + 2 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23447741?\nAnswer: 23, 1019467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12390 and 13160.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 874*d**3*r**2 + 61*d**3 + 39439*d**2*r**2 + d**2*r - 4*d*r - 57*d + 4*r + 2 wrt r.\nAnswer: 1748*d**3 + 78878*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 12*h**2 + 8*h + 9. Let s be w(-12). Let x = -6 + -29. Let b = x - s. Calculate the highest common divisor of 78 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*((-10)\/3*1 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, 0, -1, 61\/104, 0.5 in decreasing order.\nAnswer: 5, 61\/104, 0.5, 0, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21592 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 168*s**2 - 1778*s + 221. Give w(-178).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 18 = 11*f. Let r be ((448\/40)\/f)\/((-2)\/(-5)). Suppose r*g + 15 = 7*g. Let v(x) = x - 6. Give v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18172609.41 - -18172621.55943467. Let z = 37.85057703 + y. Let j = z - 50. Round j to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11*x**2 - 226*x - 13. Give d(-20).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -28 - -34 - 6\/2. Let b = 7 + -5. Let i(q) = q + 2. Let g be i(0). Solve -g = -l*y + b*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -149*z + 150*z + a, -2*a = 4*z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -43.\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**2 - 5 + 54*u**2 + 46*u**2 + 3 + 20*u**2 - 2*u**3 to r*u**2 + h*u + y + b*u**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 887*r**2 + 2*r + 2. Is a(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)\/l*l)**20*l**(-2\/5)\/l**(4\/5))\/(((l*l**(-1\/2)\/l*l)\/l)\/(l\/(l*l**11*l)*l))**(-1\/27) assuming l is positive.\nAnswer: l**(-523\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*o = 22 + 5, s + 11 = -5*o. Let z be (2 - 22)\/(2\/s). Let x = z + 41. Which is smaller: 32 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42.72286ml?\nAnswer: 0.04272286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Suppose 4*b + 2 = -14, 0 = f*a + 3*b - 3. Let k = a + -3. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40813713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -20*b**5 + 7202016915*b**4 - 648363094649074350*b**3 - 162090774112394645*b**2 = 0.\nAnswer: -1\/4, 0, 180050423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 54 = -30. What is the lowest common multiple of l and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -2956, -2, 4 in increasing order.\nAnswer: -2956, -3, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 21*p + 7. Give y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/3)*f*f)\/f**(-6\/11))**13*((f*f**(-1\/4))**(-3\/7))**(1\/7) assuming f is positive.\nAnswer: f**(353875\/6468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4017*o**2 + 2100*o**2 - 5749*o**2 + 2763*o**2 - 5907*o**2 as j*o**2 + v + g*o and give j.\nAnswer: -10810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) - 26\/8. Let j = 3102 - 3106. Is l at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6534 and 165618.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -22. Suppose 8 + i = 4*a. Solve a*g - 8 = -3*d - g, 0 = -5*g + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Suppose 8 = 3*j + 2. Suppose 0 = -2*u - 4*g + l, -j*u = -6*u + 2*g + 48. Calculate the highest common factor of 60 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7225592?\nAnswer: 2, 11, 47, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.38338ng to milligrams.\nAnswer: 0.00004638338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-25 + 9*t + 25)*(-43*t**2 + 73 - 73).\nAnswer: 387*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307.2 - 307. Which is the closest to -2\/15? (a) 0.5 (b) g (c) 2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1893, 7535, 16943, 30117, 47057, 67763?\nAnswer: 92235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t**3 + 248*t**3 + 276*t**3 - 138*t**3.\nAnswer: 407*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/6)*h**(2\/7))\/(h\/(h\/(h*(h*h**(-1\/3))\/h*h*h))*h**(-2\/5)))\/(h**(-2\/11)\/(h*(h*h**(2\/5)*h*h)\/h))**(-11) assuming h is positive.\nAnswer: h**(-1745\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)\/(j\/(j*(j*j*j*j\/(j*j*j*j\/(j*j\/(j\/(j\/((j**(1\/6)\/j)\/j*j)))*j)*j))\/j*j*j*j)))\/((j**(2\/7)\/j)\/j)**28 assuming j is positive.\nAnswer: j**(317\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/((-8784)\/3248) + -31)\/(4\/(-18))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2. Let b be q(1). Let g(l) be the first derivative of 0*l**4 + 0*l - 3 + 0*l**2 + 1\/5*l**5 - 1\/3*l**b. Factor g(s).\nAnswer: s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/1330752 and -10\/7?\nAnswer: 9315264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261479959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - 395\/(-20). Let t be (-66)\/(-105) + (-4)\/y. What is the nearest to 1\/2 in t, -4\/3, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53\/((-28567)\/98) - 203\/33)\/((-7)\/(-21)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9128 and 420.\nAnswer: 136920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.28 + -2.267. Let d = k + -0.013. Let q be (-8)\/4*5\/12. Which is the third smallest value? (a) d (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -a?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -11) + (-1 - 2) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63658 is divided by 1837.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.91 + 34.91. Which is the second smallest value? (a) g (b) 1\/3 (c) 28 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.1. Suppose 43 + 41 = 15*z - 6. Let k = 2 + -1. Which is the third smallest value? (a) p (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 19*f + 44. What are the prime factors of m(6)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3999 - 3998.8. Which is the nearest to t? (a) 223 (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 20 = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0143 from -0.2059.\nAnswer: -0.2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:16 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 37. Let l be w(0). Suppose -3 = 2*a - 13. Suppose -a*r + 20 = -o + 4, -3*o = 2*r - l. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*t + 7, -6593*t - 38 = 4*l - 6590*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10551*q = 10534*q - 306 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11568414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-15476)\/6789)\/53*((-18)\/16)\/(30\/(-40))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053844 rounded to five dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a = 51*a + 3572. Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 81*g - 41*g + 135 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 39*l**3 - 1 - 233*l**3.\nAnswer: -272*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1949 + 1935)\/(28\/(-162))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477 + 27*k**2 + 477 - 5*k.\nAnswer: 27*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 19 = -5*v, i - 2*i - 5*v = -2. Let o(p) = -5*p**2 - 19*p + 37. Calculate the remainder when o(-4) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 458.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 8}. What is prob of sequence xg?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/25 and 13\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:59 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**34\/((g**(5\/8)*g)\/g*g)*((g*g\/(g\/g**(-25\/3))*g)\/g)**(-17) assuming g is positive.\nAnswer: g**(3769\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 6. Let g be c(6). Let k = 4.99 - 5. Let s = -0.39 + k. What is the second biggest value in 2, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l + 1. Suppose -3*s - 15 = 4*f, -f - 3*s + 3 = -0. Does 16 divide d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 14*p - 140. Suppose 0 = 2*z - 6*o + o - 55, o + p = 2*z. Let f be 24\/z + -2 + -2. Is f < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135915 = -6440*v + 6481*v. Calculate the highest common divisor of v and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k**2)*(4*k**2 - 2*k**2 - 3*k**2) + (27*k - 27*k + 7*k**2)*(-3*k**2 - k**2 + 2*k**2).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61078 is divided by 650.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.78. Let g = o + 5.12. Put g, -1\/5, -1 in decreasing order.\nAnswer: g, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 86*q - 77*q - 1638 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/13888 and 85\/1301356.\nAnswer: 645472576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 23. Let t be r(-17). Let j be (87\/(-4))\/(10\/(640\/24)). Let g = j - t. Solve -5*v - 6 - g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 2249039?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 0) + (1763 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 - 231. Factor 0*w**2 - 1\/4*w**5 + 0*w + o*w**4 + 1\/4*w**3 + 0.\nAnswer: -w**3*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h**(-3\/2)*h)\/h*h)\/h)\/h**7)**45 assuming h is positive.\nAnswer: h**(-675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*s**2 + 0*s + 0 - 1\/4*s**3.\nAnswer: -s**2*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13790 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5596434 is divided by 2927.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -181. Let b = t - 300. Let o = 8171\/21 + b. What is the smallest value in o, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1773, -3536, -5299?\nAnswer: -7062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 5. Let u = h - -6. Solve q + 12 = u*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 2*o - 5, -5*t - 71 = -4*o - 116 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + p - 15 = 0, 4*p = 3*l - 145 + 65. Solve -21*i = -l + 62 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c69 + 4?\nAnswer: 1c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 948868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5525 and 107185?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -362 - -368. Let t be -1 - 3\/(9\/(-4866)). Suppose 619 - t = -y*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698611?\nAnswer: 19, 83, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 161*h + 34*h - 5*h - 1. Is w(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 8:50 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 53. Solve l = 2*i - 5*x, 3*i - 4*x + 9*x + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/8 - 4\/(-16). Let p be ((-6)\/(-4))\/((-1)\/(-2)). Suppose 0 = s + 5*l + 31, p*s + q*l + 126 = -0*s. Round s to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 3*t**2 - 3*t**2)*(-3 + 4 + 0) + (0*t + 0*t + 2*t)*(-3*t**2 + t**2 + 4*t**2) + 2*t**3 + 2*t**3 - 5*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17026599 to 5 dps.\nAnswer: 0.17027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14392039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 + 3368*k**2\/3 - 56192*k + 683520.\nAnswer: 4*(k - 24)**2*(k + 890)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, m: 1, y: 1, g: 3}. What is prob of sequence gzy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5433*b + 1809*b + 1810*b + 1814*b - 1473*b**2.\nAnswer: -1473*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1092\/551?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 66, -6\/7, 2, -21\/13 in ascending order.\nAnswer: -21\/13, -6\/7, 2, 36, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-484)\/5*15\/(-6). Let x = o - -171. Suppose y + 3*i = 137, -5*i = 3*y - x + 10. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 121962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -0.07, -858 in ascending order.\nAnswer: -858, -2, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*v = v + 8, 0 = 5*v. What is the third derivative of 0*o**2 - 14*o**j + 10*o**6 - 38*o**6 wrt o?\nAnswer: -3360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Suppose 0 = 4*g + 20, 3*g + 20 + 10 = 5*w. Let q = -3 + w. Are z and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(700)*1 + sqrt(700))*1.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 31. What is the remainder when 51 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260065915 by 5.\nAnswer: 52013183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.2 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 64. Let w = -2 - 28. Let k = 26 + w. Which is the closest to 3? (a) r (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*n + 6 = 0, 1 = 2*p - 4*p + 3*n. What is the closest to -1 in -1, -8\/5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 14*g - 253. Let f be -3*2\/(-1*12)*38. Is 47 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 1)*(2 - 2 + u) + 59*u - 227 + 227)*(-2 + 23 + 3) in the form o + k*u and give k.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235.4 - -257. Let u = j - 21.3. What is the second biggest value in -5\/4, u, 4.15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Let g = 15 - 9. Let f(z) = 0 + z - 4*z + g. What is f(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.23039 - 187501205\nAnswer: -187501211.23039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*d + d + 5 = 0, 5*d - 5 = 0. Let z(o) = o**3 + 5*o**2 - 5*o + 6. Let k be z(-6). Solve 2*p = -k + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**2 - 4*b - 5. What is f(-4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23*m = -22*m - 2, -2*l + 1 = 3*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*y + 2*y - 52 = 0, -3*o + 3*y + 30 = 0. Let n = -14 + o. Let a be (-64)\/(-30) + 1 + n. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 324\/336 + 2\/7. Let x = 0.1 - 0. What is the nearest to x in 1\/6, c, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*z**2 - 263*z**2 + 4873*z**2 - 239*z**2.\nAnswer: 5073*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-3264)\/(-72)*(-6)\/70. Sort 1, 0.2, y.\nAnswer: y, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.193618 + -0.006382. Let w = -178 - -2668\/15. Which is the closest to w? (a) 2 (b) q (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.7 + -37. Let b = t - -3.3. Let m = 1\/40 - 49\/360. What is the nearest to b in -2\/3, m, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 + 0.5. Let d = z + 5.1. What is the second biggest value in d, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(800) + sqrt(800))*3 + 0 + 2*sqrt(1800) + sqrt(1800)*-2*3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -31*s**2 + 478*s + 14755. What is a(31)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -14, 0, 16, 34?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgu when three letters picked without replacement from {g: 1, c: 2, z: 4, u: 1, h: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/135 and -19\/10002270.\nAnswer: 90020430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -2\/9 (b) -1\/3 (c) 0 (d) 1\/4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147604493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/165 and -97\/1813035.\nAnswer: 19943385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 - -0.43. Let z = 18.16 - b. Let c = -23 + z. What is the second smallest value in 0, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 5*t**2 - 7*t - 6. Let g be s(-6). Suppose -3*o + 64 - 7 = g. Solve o = -3*k + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*j = -26, 4*j - 34 = -s - 4*s. What is the third derivative of 1426*u + 23*u**2 - 1426*u + 4*u**s - 87*u**6 wrt u?\nAnswer: -9960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-27))**(2\/25))**21 assuming g is positive.\nAnswer: g**(-1134\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 0.4, 2.288?\nAnswer: 2.288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*1)\/(41\/41).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28391 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -62, 3, 417110 in increasing order.\nAnswer: -62, 0, 3, 4, 417110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 235.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 447 - 442. What is the remainder when 48 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 6) to base 2.\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 182.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1832*w + 1839*w + 140 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 164779.0827 to the nearest one thousand.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335454 or 335201?\nAnswer: 335454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 51080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 287077597431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -328577*v**2 + 382*v + 638915439 wrt v?\nAnswer: -657154*v + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 10 = t, -2*t - 2*t + 15 = -3*v. Let i = -2407 - -2409. Sort 1.2, t, i, 5.\nAnswer: t, 1.2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0 + 1\/10*p**6 + 0*p**5 - 1\/4*p**4 + 0*p**2 - 7*p + 0*p**3. Find u such that d(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337950 divided by -150.\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/18032 and 95\/49588.\nAnswer: 198352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -11.3. What is the nearest to 1\/2 in -0.1, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -983? (a) -3401 (b) -6 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:01 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 5, 0.02, 32770?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 4. Let p(g) = -1. Let x(u) = u - 1. Let k(a) = -6*p(a) - x(a). What is 3*k(i) + 5*v(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45757338 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245430626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04713196975 to 4 dps.\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -21*n + 2. Let p be k(-2). Suppose -5*v - 30 = -a, -3*a - v + p = 18. Let b = a + -5. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 2*v = -4*w - 218, 253 = 4*w + 5*v. Calculate the greatest common divisor of 23 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 0, -n + 7 = -0*u - 2*u. Let f be (u + -5)*1\/(-3). Factor g + 2*g - g**f - 2*g.\nAnswer: -g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4290 and ((-1364)\/(-55) - 4)*150\/4?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 14*g = 5676. Suppose -424 = -g*r + 171*r. What is the remainder when r is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*k + 3\/2*k**2 - 7\/8*k**3 - 1\/4.\nAnswer: -(k - 1)**2*(7*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4741 + -3185. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-2144079.\nAnswer: -2358486.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 1615.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 17*p**3 - 7*p**3.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 392*0.4\nAnswer: 156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.4, 757 in descending order.\nAnswer: 757, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 7*i**6\/2 + 2*i**5\/5 + 19*i**3 - 13*i**2\/2 - 2518. What is the third derivative of j(p) wrt p?\nAnswer: 1260*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b + 0 - 21*b**2 + 0*b**4 - 1\/20*b**5 + 0*b**3. Let n(a) = -9*a. What is c(n(i))?\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 21*(-4 - 34\/(-7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24181 by 10.\nAnswer: 24181\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1332 - 1338.991. Let q = g + 6.9. Round q to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {l: 2, d: 1, e: 1, p: 1, k: 2, s: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n + 1045 = 190*n + 1045 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1718, -213 in ascending order.\nAnswer: -213, 10, 1718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091072 is divided by 155865.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -279896776 divided by -5\nAnswer: 279896776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 176?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(1*sqrt(4)) + sqrt(20)\/(sqrt(5)*2))\/((sqrt(64) - sqrt(4))\/(sqrt(2) + sqrt(18)*-5 + sqrt(2))).\nAnswer: -13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(2448) + -2*sqrt(2448) - (-1 + sqrt(2448) + 0 + sqrt(2448))) + -4)**2.\nAnswer: 72*sqrt(17) + 22034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from jlsfyzzlllfsllz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3378*i + 41112 - 2377 + 61654 - 9183 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 4*f. Let l(w) = 14*w + 23. Let m be l(-2). Sort -2, m, f in decreasing order.\nAnswer: -2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -4, 3\/8, -1, 7, -36, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 + 330 = g - 5*g. What is the remainder when 991 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7181124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*h - 9, -5*h + 24 - 4 = 0. Suppose -3*q + 65950 = y*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1536 = -48*x + 2112. Calculate the remainder when x is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*u + 1230*u = -3942*u - 1086*u + 91052 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + j + 41 = 0, -3*j = -2*c + 78. Suppose -2*h + c + 59 = 0. What is the remainder when h is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 9*u + 6. Let k be j(-5). Solve 3*i + 4 - k = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1415 + -1415. Let s(t) be the first derivative of -5\/4*t**4 + t**5 - 15\/2*t**2 + k*t - 25\/3*t**3 - 15. Solve s(i) = 0 for i.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64 + 1 - (31 - 26). Solve c = 17*q - 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321801 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6053, -24888, -56279, -100226, -156729, -225788?\n\"Answer: -6278*i**2 - i + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 16.6, 3, 11 in ascending order.\nAnswer: -95, 3, 11, 16.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/120*30 - 63.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*b + 7799991, 2*w - 2*b + 3900006 = -0*b. Round w to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + f**2 - 2*f + 2. Let i(l) = 5*l**3 - 5018*l**2 - 4*l + 4. Determine -i(n) + 2*t(n).\nAnswer: -n**3 + 5020*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okxo when four letters picked without replacement from {a: 1, x: 4, k: 3, o: 7, z: 2}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 + 104*y + 1. Determine t(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230.151 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (462\/(-54) - 10) + 19\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -109. Suppose -i*t = t - 440. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/((-10614)\/(-464))*(-27)\/(-24)*-1*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 28.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - (8 + -1)) + -17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*s + 217 - 2 = 3050 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = u - 19, -4*n - 49 = -0*u + 5*u. Let i(f) = -3*f**2 - 7*f - 7. Let t be i(n). Let s = t - -135. What is the remainder when s is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 7*f + 5. Let c(s) = 7*s**2 - 14*s - 11. Let i(k) = -4*c(k) - 9*d(k). Give i(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 666 and 123765.\nAnswer: 742590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*v = -572*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 27. Let x(p) = p - 9. Let n(o) = 2*q(o) - 7*x(o). Let b be (11\/(198\/48))\/(2\/(-6)). What is the units digit of n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.87 + 0.13. Suppose 0*q = -3*q + 63. Suppose 0 = -4*p + 1 - q. What is the second biggest value in 0.2, p, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6228*g + 5623*g + 53838*g.\nAnswer: 53233*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2727 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553874652.\nAnswer: 2, 3, 73, 163, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861, -1403, -1933, -2445, -2933, -3391, -3813?\nAnswer: -4193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*o**2 - 19*o**2 - 3*o**2)*(5 - 4 + 6)*(0*o + 4*o - 2*o + (3 - 1 - 3)*(o - 9*o - 10*o)).\nAnswer: -5740*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.319152t?\nAnswer: 5319152000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-312)\/360 - (-2)\/(-15). Let h(n) = n - 2. Let b be 3*(1 - 8\/6). Let a(k) = 1. Determine b*a(y) + x*h(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 3*y - 4. Let h(p) = -2*p - 15. Let c be h(0). Let u be 411\/45 + 2\/c. Let f = u + -5. Give t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 706 + -473. Let f = o + -533. What is f 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 309 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drrwrwa. What is prob of picking 1 r, 1 w, and 1 a?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20325162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(256)*3)\/((-1*sqrt(128) - sqrt(128))*3))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**13*j)\/(j\/(j**2\/j)*j))**(-3\/7) assuming j is positive.\nAnswer: j**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.341, -3, 3.5 in descending order.\nAnswer: 3.5, -0.341, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h**3 + 2*h**2 + 2*h + 5. What is the hundreds digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 695319 = -110*w - 12*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202793765 to the power of 1\/2, to the nearest integer?\nAnswer: 14241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222404 and 658?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7362607, 14725190, 22087773, 29450356, 36812939?\nAnswer: 44175522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x - 68. Let g(r) = 64*r - 10 + 18 - 29*r + 2*r**2 + 30. What is the remainder when g(x) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 2*y + 1. Let c be u(1). Let t be 12\/(-9)*(-6)\/c. Let i be 3 + t - 20\/(-2). What is the greatest common divisor of 88 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4165526.\nAnswer: 2, 73, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -69, 0.4, -3?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402754 is divided by 773.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1690 - 1726 + 13*i + 5150 - 1734 - 15*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 678*f**5 - 593*f**3 + 6*f + 647340?\nAnswer: 13560*f**3 - 3558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107058, 213525, 319992, 426459?\nAnswer: 532926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 5*m - 11. Calculate n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tsssssssstssssssstst.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ipaipiiaapipi?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -22. Let m = 7 - 7. Which is the closest to m? (a) f (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/742670 and -5\/18.\nAnswer: 6684030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 + 2*w + 5. Let t be s(-5). Let n(x) = -x**3 + 2*x**2 - 4. Let j be n(2). Which is the third biggest value? (a) t (b) j (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k**2 - 2*k - 116. Let f(b) = 38*b**2 - 6*b - 347. What is 3*f(z) - 8*y(z)?\nAnswer: 2*z**2 - 2*z - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/24 (b) -4 (c) 0 (d) 14 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405593*m + 7582390 wrt m?\nAnswer: -405593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - -23. Suppose 5*a - 4*r + 9*r - 100 = 0, -42 = -2*a - 4*r. Suppose -255 = -a*q + 4*q. Calculate the greatest common factor of l and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01644? (a) -3 (b) -2\/9 (c) -7 (d) -10 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 10*o**3 - 8*o**3 + 137.\nAnswer: 2*o**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iio when three letters picked without replacement from iahkkiaikifaok?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(48\/4))\/((-13)\/(-26)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 27*n + 0 - 1\/3*n**3 + 32*n**2. Is 4 a factor of u(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**5\/5 + 16*f**4 + f**3\/3 + 37*f**2\/2 - 207. Find the third derivative of s(v) wrt v.\nAnswer: -24*v + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 18, 27, 36, 45, 54?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -x, -3*x = -r + 53 - 5. Let p(w) = w**3 + 16*w**2 + 15*w + 6. Let a be p(x). Is ((-1623)\/(-9))\/(2\/a - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiihikhihkiihhiiihk. Give prob of sequence hhk.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 smaller than 2.3816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/2481, -23\/3, -2\/7, -0.5?\nAnswer: 2\/2481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.311544336 rounded to three dps?\nAnswer: 0.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 248658 and 13?\nAnswer: 3232554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 52*p. Let u(n) be the first derivative of -n**3\/3 - 25. Give u(c(s)).\nAnswer: -2704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a24 (base 16) in base 13?\nAnswer: 11303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3.2 (b) 2 (c) 0.1 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*o = 2*m - 16, 0 = 3*m + 2*o - 12. What is the nearest to 0.1 in -5, -1, -4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162670?\nAnswer: 2, 5, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3194807 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 millions digit of 6940363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = y + 3*y + 12, -y = -5*z + 23. Find the third derivative of -75*v**5 - 5*v**6 + 137*v**z - 70*v**5 + 130*v**2 wrt v.\nAnswer: -600*v**3 - 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkyj when four letters picked without replacement from zsjykhk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.02 - -0.02. Let r = 371 - 366. Let x = 1017.4 + -1018. Which is the third biggest value? (a) z (b) x (c) -1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, 41 in increasing order.\nAnswer: -1\/3, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*p + 1. Let d = 43 + p. What is the greatest common factor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 9:33 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -18 + 10 - (-3 - (-11 + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406222 divided by -1.\nAnswer: 406222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8332679 = 11*z - 23448989. Suppose 2*r + z = -8*r. Let v = 602421 + r. What is v rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127 or 150804\/1189?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 309096*j**2 + 618183*j - 309090.\nAnswer: 3*(j - 103030)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4529 + 4553. What is the closest to 1\/2 in 2, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*z**5 + 5*z**4 + 7*z - 47?\nAnswer: -480*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22375049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -122?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**2*r - 2670*i*r**2 - 125*r**2 + 14 wrt i?\nAnswer: 4*i*r - 2670*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, 1 n, and 1 d when four letters picked without replacement from bdnnbcncdmmbnnnnndc?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvrrvrvvqqrrrrr. What is prob of picking 3 v and 1 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3842 - -38527\/10. Let y = 23 - 27. Calculate the common denominator of n and (3\/(-6))\/(y\/(-55)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 - 0.84. Let r = z + -3.3. Suppose 2*w + 6*o - 3 = 7*o, w - o - 2 = 0. Which is the third biggest value? (a) r (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/22 and (((-48048)\/315)\/(-8))\/((-56)\/5).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -1. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -16*u**2 + 193*u + 929. Give i(-4).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12132*t + 12033*t - 4455 = 0 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + 5*k + 1. Let z(y) = y + 1. Let n be (-1)\/(-4) - 6\/(-8). Let i(v) = n*x(v) - 6*z(v). Let d(r) = -9*r**2 - 3*r - 11. What is 3*d(c) - 7*i(c)?\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d + 213 = 52*d. Let n = d - 62. Solve n = k - 5*t, -7 = k + 4*t - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + -4. Let l = -8\/29 - -109\/290. Let n be 0 - -1 - (-24)\/(-21). Which is the third biggest value? (a) f (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3047*o - 3095*o - 912 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 20 = -11*v, -9*k + 8*k - 2*k - 4*v = -12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.070046.\nAnswer: -0.210138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -280104838 to the nearest 1000000.\nAnswer: -280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130064 and 352?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + p - 355 + 355 - 4*p as q + z*p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -152 - -36 - (1 - -1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*t**4 + 13*t**4 - 5*t + 9*t**4 + 2 in the form d*t**4 + q*t + m*t**2 + h + c*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232889.\nAnswer: 463, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0916, -5\/3, -458.\nAnswer: -458, -5\/3, 0.0916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -139. Suppose -3*z + 15 = 2*z, -3*n = 3*z - 9. Sort n, -1, q.\nAnswer: -1, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) - 4\/(-22). Let w(c) = z*c**2 - c**2 + 0*c**2. Let m(x) = -2*x**2. What is w(m(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -30890097 <= -30890098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*h - 34. Let t be (1 - -50) + 0\/(-4 + 5). Let g = h + t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -112 (c) 124 (d) 0.155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55206.\nAnswer: 2, 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48466669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1, 11.33, 0, -7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86958 minus 899652.4?\nAnswer: -986610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 808, -218, -3 in decreasing order.\nAnswer: 808, -3, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 minus -1.9?\nAnswer: -192.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 5*d - 4. Let t(q) = -5 - 737*q**2 + 370*q**2 - 6*q + 374*q**2. Determine 6*p(f) - 5*t(f).\nAnswer: 7*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 2*m - 4. Let s be a(2). Let y = 2 - -3. Suppose -11 = y*c - 2*o - 83, -2*c + s*o + 32 = 0. Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 160 = -3*c - 148, -3*c = -2*c - 2*n - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 4, l: 1, w: 1, j: 2, b: 2}. Give prob of picking 1 b and 2 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 6*g + 0*g)*(196 - 4*g**3 + 598 + 3*g**3).\nAnswer: 3*g**4 - 2382*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -261 and -153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*q**2*t*v + 15*q**2*t - 53*q**2 + 139*q*t - 2*q*v - 47*t - v + 1 wrt q.\nAnswer: -108*t*v + 30*t - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743907159 to the power of 1\/2, to the nearest integer?\nAnswer: 41760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16946 + 33817\/2. Calculate the common denominator of w and 7\/571.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f**3 - 5*f)*(-2*f - 3*f + 3*f) + (11*f - 7*f + 7*f)*(f**2 + 0*f**2 - 2*f**2)*(0*f - f - f).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5343.413 tonnes to micrograms.\nAnswer: 5343413000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w, 0 = 3*s - 5*w - 39 - 36. What is the remainder when 73 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968108 is divided by 989.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24080268 (base 9) to base 13\nAnswer: 2582876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4370567, 8741097, 13111629, 17482163, 21852699?\nAnswer: 26223237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 6. Let s(h) = h**2 - 7*h + 1. Let t be s(6). Let m be u(t). Differentiate -2*d**4 + m + 0 + 5*d**4 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0 + 0*w**4 + 0*w + 11*w**2 + 1\/30*w**7 - 1\/6*w**5 + 0*w**3 + 0*w**6. What is the third derivative of o(y) wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 3*j. Let z be 1\/(((-3)\/(-6))\/j). Solve -4 = -z*x + 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -110\/7, -0.4, 2\/85, 4\/7, 2\/23?\nAnswer: -110\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) -38 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100111 (base 2) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385 (base 13) to base 3.\nAnswer: 211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -15 + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 less than 8.294857?\nAnswer: -1532.705143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.25, 34, -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39013 is divided by 96.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**34\/(((y**(-5)*y)\/y)\/y*y\/y**(2\/11)*y)*(y*(y*(y\/(y*y**(3\/7)\/y*y))\/y*y)\/y*(y*y*y**(-3)*y*y)\/y)**(-7) assuming y is positive.\nAnswer: y**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 21*f - 74. Determine b(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0*o**2 + 0 - o + 2\/3*o**3 + 1\/10*o**5 + 0*o**4. What is the second derivative of z(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(147) + -1 + 2) + 4).\nAnswer: -3 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 88913436 divided by -106\nAnswer: -838806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 924.4865 decades in years?\nAnswer: 9244.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 3*m - 5. Let y = 571 + -575. Let q be ((-14)\/(-8))\/((-2)\/8). Let d(n) = -4*n**2 - 5*n + 9. Let a(c) = q*x(c) + y*d(c). Factor a(w).\nAnswer: (w - 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -68 + 1\/6*f**3 - 4*f - 1\/2*f**2. What is m in b(m) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a - 1. What is j(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-9)\/27. Let x = 2 + -6. Which is the closest to -2\/7? (a) -3 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2006733268155 and -0.1?\nAnswer: 2006733268155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-9728)\/114)\/32.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/6 - 149*d**2\/6 - 6035*d\/6 - 35287\/6 = 0 for d.\nAnswer: -71, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -745825 or -745839?\nAnswer: -745825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 11\/2)*12\/(-24)*0. Solve -245*q + 255*q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -76. Suppose 9 = 4*r - k. Calculate the lowest common multiple of 3 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 6, 2, -184 in descending order.\nAnswer: 6, 2, -2, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {e: 1, r: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4325 by 801.\nAnswer: -4325\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 7415155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.1, -134, -14, -2\/17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**2 + g - 18. What is l(3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*m - 8 - 2, 6 = 2*m - 2*o. Suppose -m*w = 14 - 2. What is the units digit of 5*w*4\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6200158 <= -6200158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(54\/24)\/3. Let v = 6.08 - 0.08. Let z = v - 4. Sort z, n, 1 in ascending order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 2 + 4*p**2 - 9*p + 1 - 4*p**2 + p**2. Calculate n(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9199, -36907, -83133, -147883, -231163?\n\"Answer: -z**3 - 9253*z**2 + 58*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {z: 1, t: 1, c: 1, j: 1, w: 2, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/58 + 483\/29. Find the common denominator of -51\/490 and y.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjkjkk. Give prob of picking 2 k and 2 j.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60349.64 milliseconds in nanoseconds?\nAnswer: 60349640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 251264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -69, -72, -75?\n\"Answer: -3*a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x**2 + 11 - 1 + 5 + 270*x + 15*x**3 + 7*x**2 - 245*x = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 15.03. Let t = -0.27 + n. Round t to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2. Let m(k) = -184136431*k. Give o(m(t)).\nAnswer: 67812450442835522*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2274 + 10373. List the prime factors of u.\nAnswer: 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 4. Suppose -5*a + 3*y = -8*a + 477, -5*y = p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggbggggggggggbgg. What is prob of picking 1 b and 3 g?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -78. Let g = -4 - d. Let w = -50.99999969 + g. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 79 + 16 = 0. Let s = 172 - c. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in 0.09, 0, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:10 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046812.\nAnswer: 2, 13, 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.79 + 0.21. Let n = 5 - q. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -105 (c) -102 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -21*k**4 - 19*k**3 + 428*k**2 - 1988*k + 4. Let a(d) = -5*d**4 - d**3 - d**2 - d + 1. Let v(q) = -4*a(q) + r(q). What is s in v(s) = 0?\nAnswer: -31, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 1, x: 3, q: 1, e: 3, j: 2}. What is prob of sequence xaex?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1965000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7*u - 2*h = -10, 2*h = 5*u + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwcwcwwww. Give prob of picking 2 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, d: 4, m: 1, g: 1}. Give prob of sequence dgmd.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/66 and -131\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 3. Let d be a(-2). Let j be (-8)\/28 + 46\/14. Let y be j\/2 + d\/2. Solve y = -g + 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 146777622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 40\/25) + 2\/(-5). Suppose -f*k - 3*g = -1013, -4*g = -2*k - k + 766. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-21)\/28 + (0 - -1)). Suppose -f = -0*f - 2. Suppose -w + g*n + 107984 = 2*w, -2*w + 72008 = f*n. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-2\/9)*h**(-1\/7)\/h*h**6 assuming h is positive.\nAnswer: h**(320\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3)**(-28\/9)\/((o*o**(3\/7))\/(o*o*o*(o*o**17)\/o*o*o*o)) assuming o is positive.\nAnswer: o**(575\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2, -0.25521829?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (4 + sqrt(700) + 0))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 92 = -0*q - 3*q, 0 = q + 4*s - 48. Is 10 a factor of q + 3*(-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 27*z. Let s be i(6). Let w be (-4)\/14 + s\/(-21). Let h be 8\/10*2\/w. Which is the second smallest value? (a) 5 (b) 1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -399, -819, -1239?\n\"Answer: -420*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176143, 352304, 528483, 704686, 880919?\nAnswer: 1057188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 263822676 - -3?\nAnswer: 263822680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*i + i + i - 2*i**2 - 6*i + 0*i - 148 to b*i**2 + s + h*i and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3493490 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/9)*a*a\/a**7*a**(-2)\/a**(2\/11) assuming a is positive.\nAnswer: a**(-590\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 201, 0.1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130174 is divided by 72?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 205551590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/8*12\/9. Let z be (-3441)\/(-9) - i\/(-6). Suppose -4*k = -6*k + z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 739*l**5 + 6*l**2 - 2?\nAnswer: 44340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -53. Suppose -4 = v*u, 5*m + 4 = 5*u + 24. Suppose 5*t = o + 437, t = -m*o + 17 + 80. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2267488?\nAnswer: 2, 59, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) 6 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 1\/5 (c) -56485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -142*t + 7. Let n be 5 + -7 - -6 - 6. What are the prime factors of z(n)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 + 5865*a**3 - a**2 + 26*a - 93?\nAnswer: -24*a + 35190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117971.\nAnswer: 7, 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, -6, -9, -4 in descending order.\nAnswer: 5, 4, -4, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-37 + 2) - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeeeepeeeepeeeepee. What is prob of sequence ep?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2121343*o**4 - o**2 + 14447234 with respect to o.\nAnswer: -8485372*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3967656 divided by 1983828.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63187826*m**4 - 67952*m**2 - 394?\nAnswer: -1516507824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 38 = y, 4*c + 7 = -y + 41. Suppose c*k = 15*k - 30000. Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203318293565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -26*i - 2. Let v(c) = -6*c - 4. Let h(p) = p + 1. Let o(f) = 4*h(f) + v(f). Give t(o(q)).\nAnswer: 52*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 196.\nAnswer: 31\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -503*r - 184*r + 76*r - 3*r**3 - 2187 - 118*r - 81*r**2.\nAnswer: -3*(r + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*p**4 - 2*p**3 + 162*p**2 + 607666*p wrt p?\nAnswer: -1932*p**2 - 12*p + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -323, -1098, -2619, -5138, -8907, -14178, -21203?\nAnswer: -30234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663332.\nAnswer: 2, 7, 73, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25937272 is divided by 1520?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17*a + 9. Let t(z) = z. Let k(m) = -m**3 - 12*m**2 - 11*m + 3. Let s be k(-11). Let f(o) = s*t(o) - w(o). What is the first derivative of f(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*i**2 - 2*i*w**2 + 21150*i*w - 4223897*w**2 wrt i?\nAnswer: -56*i - 2*w**2 + 21150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220212001 (base 3) in base 15?\nAnswer: b301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/7 - 185*a\/7 + 564\/7.\nAnswer: -(a - 3)*(a + 188)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 4*f + 4. Let b(x) = 2*x**2 - 11*x - 11. Let i = -76 - -79. What is i*b(m) + 8*c(m)?\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23698698.\nAnswer: 2, 3, 1171, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*w - 53*w - 52*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33380176 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 938\/9 - 104. Which is the nearest to -2\/9? (a) 1 (b) s (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684202583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -28\/3 - 9*r + 1\/3*r**2 = 0. What is r?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 5*v = -d - 109790, 4 = -4*v. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 370*o - 101. Is n(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39083090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/3 + -68*(-67)\/6834\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*16\/(-40)*((-3)\/4 - -2). Which is the third smallest value? (a) -0.5 (b) 1\/4 (c) 1\/115 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -12215?\nAnswer: 12235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/27*(-4)\/(-16)*12*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46\/249 - -1835\/498. Let l(v) be the second derivative of 0 + 0*v**2 + x*v**3 - 29\/12*v**4 - 30*v. What is the second derivative of l(i) wrt i?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:37 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((2 - 5) + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -25559\/16 != -35\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5180715114.\nAnswer: 2, 3, 863452519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162.1 + 151. Let a = n - -14. Let m = 7.8 - 8.1. What is the third smallest value in m, -2, -3, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372.999762 - -373. Round b to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88808 by 68.\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 26*k + 32. Suppose 0 = -0*w - w - 5*f + 80, -5*f = -3*w + 220. Calculate the remainder when o(6) is divided by w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(1\/2*-2). Let x = 5 - s. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(1 - 4 + 1)*(h**5 + 4*h**5 - 3*h**5).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m - 5. Let a(h) = 1. Let n(b) = 4*b**2 - 3*b + 3. Let u be n(1). Let i(x) = u*a(x) + t(x). What is the derivative of i(c) wrt c?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 617972053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -21933*i**2. Let p(z) = 2*z**2. Give p(g(r)).\nAnswer: 962112978*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259506740 and 2760710?\nAnswer: 259506740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3329, -5, 3, -3 in decreasing order.\nAnswer: 3, -3, -5, -3329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -53e?\nAnswer: 53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*u**(1\/2) assuming u is positive.\nAnswer: u**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5990*b + 262. What is the units digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(5))**2 - sqrt(5))*4 + ((1 + sqrt(320))*4)**2.\nAnswer: 228*sqrt(5) + 5192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/2, 4\/5, 0, -13, -0.17 in descending order.\nAnswer: 3\/2, 4\/5, 0.1, 0, -0.17, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-3*sqrt(9)) + (5*sqrt(35))\/sqrt(7).\nAnswer: 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12488 and 35336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Differentiate 6*u**3 + 4 - 6 - x*u**3 - u**3 wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjacjczqaaajaj. What is prob of sequence cjca?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 639*x + 86828. Calculate t(196).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3175977.\nAnswer: 3, 7, 151237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -208*y - 208*y - 1 + 415*y. Let z(u) = 5*u + 5. Give 9*j(d) + 2*z(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1054441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 125 - 184 - (19 + -78)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/((-9)\/(-6)*-1). Suppose 4*l - w + 4 = 0. Sort l, 5, -1.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4290291 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctztttztc. What is prob of picking 1 t and 3 c?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/35 + 57\/21. Let m be 55\/(k\/9 + 0). What is the greatest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let z(d) = 0*d + 2 - d - d**i + 2*d + d**2 - 4. Is z(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1361*k**6 - 3*k**5 - 3*k**2 + 4*k + 44 wrt k.\nAnswer: 163320*k**3 - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/57 and 8\/9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-99))\/((-3)\/10 + 5\/10)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -57142*g**2 + 4*g - 1. Let u be z(-4). Let p = 584289 + u. Round p to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/8597 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169754025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {r: 7, i: 2, y: 1, t: 1, x: 1, q: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 26*t**2 - 135*t - 2071. Determine z(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 166748\/14 + (-136)\/238. Suppose s - 1730 = 10*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose -8*p - 24 = -12*p. Suppose r + j*r = p. What is the least common multiple of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107901442, -215802883, -323704324, -431605765, -539507206?\nAnswer: -647408647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 27013.\nAnswer: -8103.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 12*g + 11*g)*(-g**3 + g**2 - 2 - g**2).\nAnswer: g**4 - 5*g**3 + 2*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277476722*0.3.\nAnswer: 83243016.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(160) - (-1*sqrt(160) + sqrt(160))))\/(5*sqrt(64) + sqrt(4)))\/((sqrt(80)*2*5)\/((sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(2))))**2.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1186*j + 1209*j - 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/1147)\/(7\/(-14))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22604057 from -9883.\nAnswer: 22594174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:59 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6907866*m - 6907791*m + 3375 = 0 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -n + 70 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = 32. Suppose 4*v - 368 = -3*d, -4*d + 2*v = w*v - 482. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/(189\/9))\/((-55)\/(-7))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 115528274?\nAnswer: -3\/57764137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 1208*s - 397250. What is a(-269)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52586 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 43 + -11 + (0 - 14 - (45 + -80))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -80. Suppose -72 = -5*n + p*n. What is the common denominator of -71\/20 and -3*94\/n + 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + d**2 - 3 - d**2 + 17*d**3.\nAnswer: 17*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 10 = -2*n, -15*x + 16*x + 5*n = -14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 6*s + 11\/2.\nAnswer: (s + 1)*(s + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*b, 5*j + 44 = -4*b + 111. Solve -3*a + z = -j, -2*a + 13 = -a + 2*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39*1 + 74\/(4736\/(-704))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.639, -0.2, -0.5, -102\/7, -7, 3\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10100 and 40?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/1680)\/((-3)\/(-30))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 15*s = 14*s - 11, 8 = 2*n + 2*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173051*h - 346104*h + 173055*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270026 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.107*-8.\nAnswer: -0.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 19*s = 559041. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392584197.9 rounded to the nearest one million?\nAnswer: 393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = 4*y - 2*h, 10 = 2*y + 2*h. Suppose -1 = y*i + 5, -4*x = i + 10. Which is the third biggest value? (a) -0.1 (b) 0.5 (c) -0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -23. Let u = -2 - f. Suppose -5*a + u*a = 6. Solve a = -0*q - 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6693 - 1675 + 12171*f**3 - 2334*f**3 + 2343 wrt f.\nAnswer: 29511*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 511255 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 262266 - 35718 = 0. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, -1, -3.\nAnswer: -23, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/1 - 0) + 0. Let i(y) = -y**r + 3*y**2 - 3 + 2*y + y**3 + 1 + 3. Let d be (2 - 0)*(-4 - -3). Determine i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 316.7267ug?\nAnswer: 0.0000000003167267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6682.\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28090, 28131, 28228, 28405, 28686?\nAnswer: 29095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let q = -2.6 + -98.4. Let d = q - -102.8. Is d > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6558, -25717, -57648, -102351?\n\"Answer: -6386*w**2 - w - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + z - 5 = 0, 0 = 5*l - 5*z + 2*z + 15. Suppose 18*v - 14*v - 40 = l. Solve 0 = 4*u - q - 3 - 7, 0 = 5*q - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15171\/4246 - -21\/193. Find the common denominator of d and 93\/1540.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d - 4*d + 7*d)*(2 - d**2 - 2)*(4*d + 3*d + d) to q*d**2 + g + h*d**3 + a*d**4 + s*d and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 6.2. Let s = k - 5.4. Let l = 14.5 - 9.5. Put l, s, 3 in ascending order.\nAnswer: s, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * 14397.\nAnswer: 63346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -65. Let k(l) be the first derivative of 0*l**2 - 1 + 4*l + 5\/3*l**y. What is the first derivative of k(m) wrt m?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240919?\nAnswer: 23, 163, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1049757 by 5.\nAnswer: -1049757\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.8 + 29.8. Let y = 3.2 - w. Which is the third biggest value? (a) y (b) -0.01 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - 242. Let f = z - -103. What is the remainder when 61 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*p + 100652, -72*a + 77*a - 2*p = 100634. Calculate the highest common divisor of a and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 946 + -946.1. Let q = -432 + 2158\/5. Which is the nearest to h? (a) -2 (b) q (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15199149 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4410 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 12072524*t - 36436458932644.\nAnswer: -(t + 6036262)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/(-46)*3528\/(-26). Let u = h + 68. Let -10\/13*b**2 + 0*b**3 + 0*b + u*b**4 + 8\/13 = 0. What is b?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(-1\/21)*w\/(w*w\/w**(-2\/3)*w)*w\/w**6*w\/(w\/w**4)*w**(-5)*(w*w*w**(-2))**(-3) assuming w is positive.\nAnswer: w**(-547\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 29 + 9 = 0. Suppose -44*b = 5*r - 47*b - 15, 2*b + 10 = 0. Let -3\/2*c**5 - 3\/2*c - 6*c**g + r - 9*c**3 - 6*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191531732*j**2 - 205049443*j?\nAnswer: 383063464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -337 - -630. Suppose -h + 146 = 3*c, c = -2*h - 26 + g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7)*(a**(-1\/4)\/a*a)\/a*a**(2\/7)*a**10)**(1\/10))**(5\/3) assuming a is positive.\nAnswer: a**(85\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -170. Let v(m) = 326*m - 107*m - 108*m - q*m. Let i(y) = -6*y. Give v(i(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 17*j**3 - 26*j - 38. Is w(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.5. Let d = 0.1 - 1.1. Which is the closest to d? (a) y (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 38*x - 132. Let r be q(-5). Suppose -93 = r*m - 117. Solve 3*c - 2 = 2*l - 11, -m*c + 3*l = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnepnnnnwwnlneepnnn. What is prob of picking 2 e and 1 n?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/20 + ((-28)\/(-10))\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -177*u - 1368. What is the thousands digit of j(-58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3136 and 113\/10?\nAnswer: 15680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose 2*z - 28 = 5*h, -t*z + h + 12 = -0. Let k = -12 - -16. What is the greatest common factor of k and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9635419 minus -0.040525371?\nAnswer: 9635419.040525371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8029 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7540922681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 + -146. Solve a = -6*d + d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1713312 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -de - 4?\nAnswer: -e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7900979 millilitres to litres.\nAnswer: 0.0007900979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 8*f**2 - 7*f + 37. Give d(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*((-48843)\/737)\/(-27)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(7\/3)\/(m\/m**(-1\/3))*(m**(-1\/4))**(11\/7) assuming m is positive.\nAnswer: m**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 2*w**2 + 2*w - 3. Let n be v(-3). Sort n, 3, -2\/5 in descending order.\nAnswer: 3, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*y**3 + 79*y**3 - 11529*y + 11529*y.\nAnswer: 281*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2271*j - 1541 + 9290 = -3606 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 = -1. Suppose o = -4*m + 12, 2527 = 3*q + 5*m + 430. Suppose 0 = 2*p + 2*r - 464, 2*p - 5*p - r + q = 0. What are the prime factors of p?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 159. Let g = 0 + 0. Suppose g = -4*y + 3*w + 54 - 6, -4*w + 36 = 3*y. What is the highest common factor of l and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((64\/(-10))\/(-4))\/(36\/2790). Calculate the greatest common divisor of 12 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*i = -6, -310*r + 2*i = -309*r - 8. Solve -r*b = 9*b + 84 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -24. Let i be 6\/27 - (-2)\/q. Suppose 3*r + 3*w - 2589 = i, -w = -5*r + w + 4329. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 1.129.\nAnswer: 1.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332318 is divided by 248?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3491662151 and -0.00977.\nAnswer: -3491662151.00977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 + -10 - (-1)\/(-1). What is the highest common divisor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -768*x**2 - 3*x - 1. Let a be z(-1). Let h = -474 - a. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1656892\nAnswer: -331378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 4*i**2 + 2335*i**3 - 2332*i**3 - 7 to p + t*i**2 + o*i + g*i**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 66 + 1 + -32\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 4. Let g(t) = 6*t - 21. Let u(l) = 4*g(l) + 21*m(l). Let r(p) = -17*p. Give r(u(n)).\nAnswer: -51*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*w - 2*w - 27, 0 = p + w - 9. Let k = 6 - -34. Suppose k = -x + p*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40958754 to the nearest integer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18*r**2 + 19*r + 93. Is 23 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1707 + 378. Suppose 2584*o - k = 2579*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(363) + 4)*-1*1 + (sqrt(363) - (sqrt(363) + 1))**2*-5 + (sqrt(363) - ((-1 + sqrt(363))*4)**2) + 4.\nAnswer: -5829 + 374*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1\/m)**(-9\/4)\/(m*((m*m\/m**(2\/7))\/m)\/m)**6)\/(m\/(m**(3\/8)*m)*m*m\/m**3*m*m**(-7)\/(m*(m\/(m*m\/((m*m**0\/m*m*m)\/m*m)))\/m)) assuming m is positive.\nAnswer: m**(103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 69021*o - 391. Is m(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 + -250. Suppose 4*q - 17 = -0*n + n, -2*n - 4 = -j*q. Solve -2 = z + r - n, -41 = 4*z - 5*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31062133 (base 7) to base 9\nAnswer: 4807224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 19*v - 212, 5*v - 20 = -3*i + 32 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3556\/126 + (-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 - 66*r**4 + 38*r**2 + 4 wrt r?\nAnswer: -120*r**2 - 1584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 1274 = -201*u + 58*u + 60*u for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 550495920*g**3 - 182964675 wrt g.\nAnswer: 1651487760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**6\/75 - u**4\/15 + u**2\/5 + 7*u + 3. Let h(p) be the first derivative of x(p). Factor h(v).\nAnswer: 2*(v - 1)**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 times -7.2?\nAnswer: 1540.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -1756*n**2 + 1258*n + 65. What is the derivative of y(u) wrt u?\nAnswer: -3512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/25 + (-108)\/20. Let l be 186\/33 + (-112)\/(-308). Which is the third smallest value? (a) 0.05 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/3, 693911?\nAnswer: 693911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -x - w, -2*w - 18 - 2 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*y + 411*y - 880 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqhu when four letters picked without replacement from {q: 1, l: 2, h: 1, i: 1, u: 2, v: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -351*k - 349*k - 351*k + 1038*k. Suppose 0 = 4*a - 1 - 7. Let i(h) = 4*h - h - 2*h**a - 3*h. What is c(i(j))?\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-10))\/((-1)\/(-5)). Suppose -n - 13 = -5*g + 3*n, -3*g = -4*n - j. Suppose -2*q + g = 1. Solve -3*f + 16 = r - 2*r, -q*r - 5*f + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 376 - 1361?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/8 + -1)*(-2)\/1. Let o be w - ((-3)\/6 + (-10)\/4). Let h be (-7)\/o*(-66)\/77. Solve h*m + 0*m = 5*j - 1, 3 = m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 2. Let b(f) = 13*f + 5. Let d(g) = -3*b(g) + 5*i(g). Let t(c) be the second derivative of 5*c**3\/3 + 3*c**2 - 80*c - 1. Give 7*d(h) + 6*t(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1*(-2 + 3)). Let p = -4 + 10. Let s = p + -5. Sort -5, s, n in descending order.\nAnswer: s, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(4\/((-528)\/198))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.26 - 9.44. Let x = -60 - b. What is the second biggest value in 8, 0.3, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2838, -2837, -2836?\nAnswer: -2835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -934\/15 + 2812\/45. What is the closest to 2 in 4, 1779, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, 8\/7, -3760?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {u: 1, t: 3, n: 6, j: 5}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16184999 or -1\/3?\nAnswer: 16184999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9564 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -52*27\/36?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4236200 to the nearest 10000.\nAnswer: -4240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**4 + 2*w**3 - 46*w**2 - 2*w + 36 = 0. What is w?\nAnswer: -2, -1, 1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2939 + -2859. Which is smaller: l or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-153))\/((-6)\/27)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3224 by 5.\nAnswer: -3224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799634?\nAnswer: 2, 11, 19, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*r = 1872. Calculate the highest common divisor of r and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8153*s + 0 - 3 + 30515*s + 7. Let f be v(-3). What is f rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 882863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(300) + -1 + 5 + sqrt(300) + 6*1*sqrt(300) - 1*(-5 + sqrt(27) + sqrt(144)\/sqrt(3))))**2.\nAnswer: 584*sqrt(3) + 16003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70450 is divided by 2549.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15642\/39816*-4*(-3)\/(-66)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.521 less than 4?\nAnswer: 2.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g - 2*d = -2, 5*d = -g - 8. Let f = 5 - g. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 - -1 - -4. Suppose 5*p = -i + 31, p - 11 = w*i + 8. Suppose p = 3*k - 17. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-87) - (-60)\/(306240\/(-6028)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v. Let c(l) = 30*l + 35. Let p(n) = n + 1. Let g(a) = -4*c(a) + 140*p(a). Calculate g(k(o)).\nAnswer: -100*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let p(i) = 12*i + 5. Let a(j) = -6*b(j) + p(j). Let x(g) = -2*g. What is a(x(w))?\nAnswer: -12*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 2 - 2 + (3 - 3*g - 3)*(2 - 4 + 1) + 11*g + 14*g + 14*g.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)\/1*23. Let p = -13 + 147. Suppose -20 = 38*x - p. Solve -4*z + x*z - 19 = 5*a, 3*z - 5*a - q = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74453.02 millilitres in litres?\nAnswer: 74.45302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21201 - -4?\nAnswer: 21205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4107356 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 35*y - 5 + 3 + 2*y + 1 + (-y + 2*y + 0*y)*(3 - 4 - 1) - y + y - 2*y)*(-6*y**4 - 12*y**4 + 4*y**4).\nAnswer: 518*y**5 + 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12699 and 5\/94758.\nAnswer: 23594742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/3 + 1539104*s\/3 - 513034 = 0?\nAnswer: 1, 769551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g - 245 = 24*g. Which is the nearest to 0.1? (a) -4 (b) g (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24246*o = -23815*o - 14223 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 13 = -79. Sort -5, b, -1.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3. Suppose -3 = -3*d - 15, -2*j + 8 = -3*d. Let h(i) = -i**2 + 1. Give j*z(v) - 6*h(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a**2 + 10*a + 12. Let y(u) = -12*u**2 + 9*u + 10. Let t(z) = 4*i(z) - 5*y(z). Let m(h) = h. Calculate 5*m(r) + t(r).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 3. Let m(t) = 2*t - 5. Let h(d) = -5*k(d) - 3*m(d). Let q be h(0). Let z(l) = l - l - l + q. Let v(j) = -3*j**2. Give v(z(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. What is the smallest common multiple of 4 and j(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3998, -14 in ascending order.\nAnswer: -14, 5, 3998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 173*q**2 - 8*q. Let m(p) = -21*p. What is n(m(c))?\nAnswer: 76293*c**2 + 168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 90 - 34*c in the form k + q*c and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-6)\/(-4))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 42 + -41 - (-2 - -3 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {t: 4, d: 8, r: 1, e: 5}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -379, 47, 757, 1751, 3029, 4591, 6437?\n\"Answer: 142*u**2 - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**5\/5 - k**2\/2 + 4*k - 79. Find the second derivative of n(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*x + 209*x = 3*o, 3*o + 21 - 6 = -x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2727882 - -0.03028\nAnswer: 2727882.03028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-14) + (-6)\/(-21). Let w be 1*((0 - m) + 1). Suppose 3*o + w = 30. Calculate the remainder when 18 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-2))\/((-2)\/(-4)). Suppose h = 5*x + 4*h + u, -9 = -x + 3*h. Solve -3*l = -x + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -206\/3. Let k = -5 + 5.25. Let h = k + -0.15. What is the third smallest value in 2\/9, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -8) + (-24)\/(-3). Suppose -7*d = -2 - a. Let l = 0.191 + 0.009. What is the nearest to d in -0.2, l, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efhhre. Give prob of picking 1 f and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 9. Let d = 5 - l. Which is the third biggest value? (a) -5\/6 (b) 4\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 - 209503007685?\nAnswer: -209503007530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 - 2*v**2)*(-312*v - 310*v - 74*v - 430*v).\nAnswer: 1126*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194094.1687 rounded to the nearest 1000?\nAnswer: 1194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*v - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 24*u**2 + 32*u + 12.\nAnswer: -4*(u - 3)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663\/(-233155)*5\/3*(-2 + 4)?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2820 and 466005.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 7 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2 - (-7)\/2). Suppose 12 = 3*c - z*c. What is the highest common divisor of c and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/45)\/((-1)\/(-5)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7964684 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 - l - 3. What is j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 744*m**2 - 85973*m - 2582130.\nAnswer: -(m + 51)*(m + 83)*(m + 610)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*w**5 - w**4 - 100*w**2 - w wrt w.\nAnswer: -9000*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*(-94)\/(-1880)*(-8)\/10.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.64 + 6.64. Which is the second smallest value? (a) 0.02 (b) f (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -12*6\/12)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + (-4)\/6. Let r(s) = w*s - 16*s - 2*s. Let j(t) be the first derivative of -t**2 + 30. Calculate r(j(u)).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41\/4*h + 1\/4*h**3 - 11\/2*h**2 - 5 = 0 for h.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 139, 564, 1273, 2266, 3543, 5104, 6949?\n\"Answer: 142*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -73*w + 311. Calculate s(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001584091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 334*a**2\/5 - 1839*a\/5 + 11\/5 = 0.\nAnswer: 1\/167, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 34*n - 58. Let z(c) = -11*c - 438. Let y be z(-40). Calculate the remainder when 55 is divided by r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 275078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 130.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -130 * -302\nAnswer: 39260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 18. Let y(b) be the third derivative of -7*b**4\/24 + b**3\/6 + 5*b**2 + 14. Calculate y(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 68194?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 6*d - 3*d)*(-152 - 232 - 120 + 95) in the form t*d + g and give t.\nAnswer: -1636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84) - sqrt(84))*-6 + sqrt(84))\/(6*sqrt(24)\/sqrt(2)).\nAnswer: 13*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 77*f - 16. What is m(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvvqzzqgrvzvqqgvrv. Give prob of sequence qvv.\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 - 2129 - 3012 - 2*l**3 + 3*l**3 + 5*l**3.\nAnswer: l**3 - 5141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o**2 + 28*o - 28*o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64889, -259542, -583957, -1038128, -1622049?\n\"Answer: z**3 - 64887*z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3216733 times 1?\nAnswer: -0.3216733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + j - 72 = -2*j + 8*j - s, 0 = 2*j - 23*s + 144 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 + 2*b + 3. Let y be p(-2). Let f be 2 + -2 + 4 + y. Solve 4*x = -5*q + f*q - 12, -q - x - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 17*q - 9. Let p be c(-16). Let f(t) = 6*t - p*t + 2*t - 2 + 2*t**2 + 108*t**3. What is the tens digit of f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:15 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1247 and 2351697?\nAnswer: 101122971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0\/(5 - 4 - 0). Let i(q) = -53*q**3 + q**2 + 3*q + 1. Let c be i(b). Let n = 178 - 127. Is c >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 - 5*p**3 - 14*p**2\/3.\nAnswer: -p**2*(p + 1)*(p + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(16\/(-4)) + 2. Suppose -5*a = 5, u*a + 0 = -4*j + 1. Suppose -4*m - 4*z + 5 = j, 0 = 2*m + 5*z - 2. What is the closest to -1\/6 in 1\/5, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2502 + 431.5498. Let n = -432 + i. What is the third smallest value in 0.1, n, -0.46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 318, 0, 17, -4 in descending order.\nAnswer: 318, 17, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -95*t**2 - 726. Let d(o) = o. Give 228*d(j) + u(j).\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159510646 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5160 and 28234200.\nAnswer: 1214070600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -33 - 7. Calculate the remainder when ((29*-1)\/(-1))\/1 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 6, f: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-42) + ((-2)\/2)\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1904 + 1902. Let w(v) = -v. Let x(c) = 18*c. Give k*w(m) + x(m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -453891*o + 2723206. Calculate u(6).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59725.4072 rounded to the nearest integer?\nAnswer: -59725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:23 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18349 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 45 + p - 25 - 23 - 189*p. Let y(k) = 2*k. What is y(j(c))?\nAnswer: -376*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z - 899. What is m(-101)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6164*r**3 + 4*r**2 + 237*r - 2 wrt r?\nAnswer: 36984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o**3 + 14*o**2 - 23*o - 3. Let i(u) = 5*u**3 - 8*u**2 + 10*u + 2. Determine 5*i(h) + 3*y(h).\nAnswer: h**3 + 2*h**2 - 19*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 100*u**2 + 1127*u - 15902. Determine d(109).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g**2 - 2*g - 5. Let f be o(4). Suppose 4*a - f*a - 2 = 0. Let z = 14 - a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:05 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 484.66 - 131.08. What is v rounded to 0 dps?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4797\/(-4428))\/(2\/(-24)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2515, 10325, 23761, 43165, 68879, 101245, 140605, 187301?\nAnswer: 241675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 0*v**2 - v**2 + 0*v**2 - 17 + 10 to w + l*v + c*v**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/26)\/(4\/(-24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4976 times -0.3?\nAnswer: 1492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54267855 to the nearest integer?\nAnswer: 7367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*q - 521 + 405 - 526 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = 2. Are a and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 26. Suppose 16 = 3*m + 31. Put 2, u, m in decreasing order.\nAnswer: u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.038 and -4.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63*x + 22*x - 57*x)*(-4*x - 4 + 4) - 3*x**2 + 2*x**2 - x**2 + (-3*x - 2*x**2 + 3*x)*(4 + 1 - 3) to the form q*x**2 + s*x + b and give q.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421, 1616, 3599, 6370?\nAnswer: 9929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p**2. Let l(i) = -11*i**2 - 5*i**2 + 24*i**2 - 7*i**2. Calculate d(l(h)).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/68)\/(10\/3))\/(24\/(-40))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1062)\/(12\/24*(0 + -2)). Suppose 0 = 2*o - 4*o + 5*d - 15, 0 = 2*o - 4*d + 10. Suppose b = -o*b + r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5314 - 445?\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:21 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 31 + 11 = 0, 0 = v - 3*p - 14. Suppose -r - v*r = -117. What is the remainder when r is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011726 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -541 - -241. Let c be (j\/10)\/((-2 + 3)*-2). Calculate the greatest common divisor of 285 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 964 divide 126870115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64\/(-5))\/(124\/(-310)). Calculate the highest common divisor of 208 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34103 (base 5) to base 11.\nAnswer: -1895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktk when three letters picked without replacement from {t: 5, e: 5, k: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -52. Let n(o) = o**3 + 12*o**2 + 11*o + 5. Let x be n(j). Suppose -p + 4*p = 5*b + 59, 5*b = -p + 13. Put -4, 3, x, p in decreasing order.\nAnswer: p, x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9969, -9967, -9963, -9957?\nAnswer: -9949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(1\/5)))\/i)**(2\/59) assuming i is positive.\nAnswer: i**(-12\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1) + (-66)\/(-2). Let g(r) = -r**3 - 2*r**2 - 2*r. Suppose -5*d - 40 + 15 = 0. Let i be g(d). What is the highest common divisor of a and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -234*k**2 - 242*k**2 + 439*k**2. Let i(g) = -27*g. What is s(i(z))?\nAnswer: -26973*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/2 + 196559*y**4 + 1703606*y**3 + 2358861*y**2 + 786295*y\/2 - 458668 = 0. What is y?\nAnswer: -7, -1, 1\/3, 131048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 4. Let w be z(4). Suppose -5*n = -5*q - w - 14, 3*q - 6 = 0. Let t = n + -6. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 1 + 2 - 5 + 2*q**3 - 5*q**3 in the form s*q**2 + l*q + k*q**3 + f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/257 - -17399\/4626. Suppose x + 3*z + 8 = 0, 4*z + 24 = x - 3*x. Find the common denominator of (97\/x)\/((-2)\/(-5)) and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50424 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 6293*m**3\/6 - 1604*m - 1. Let j(r) = r. Give p(j(o)).\nAnswer: 6293*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-6)\/(-45)*6. Suppose -y*x + 12 = -12. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5, 5*n - 23 + 3 = 4*f. Which is the nearest to n? (a) 4 (b) -5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3368, 5 in increasing order.\nAnswer: -3368, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 9*i**2 + 11*i - 2. Let l be m(1). Suppose 4*h + 6 = 26. Suppose -l*o - h*y + 186 = -o, -4*y - 316 = -2*o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 167518 = -167118 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37, 49, 85, 157, 277?\n\"Answer: 2*h**3 - 2*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1*(-2 - (-35)\/14). What is the nearest to 0.6 in n, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1271\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -7a?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 42714*s + 170824.\nAnswer: 2*(s + 4)*(s + 21353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 - 105.\nAnswer: -104.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6423214.\nAnswer: 2, 7, 65543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/11 bigger than 1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4698*b**2 + 4718*b**2 - 9423*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k. Let z be s(5). Suppose 2 + z = c. Suppose c*l = 3*l + 24. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 0*k - k + k. Let r(p) = 2*p. Give r(x(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + -943\/7. Solve 0*u - 4\/7*u**3 + 2\/7*u**2 + 0 + q*u**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14853 is divided by 438?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 - 8*o**3 + 9*o**3 + 4 + o - 6 as x*o**2 + d*o**3 + i*o**4 + m + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/(d\/(d*d*d*(d*d**(1\/2)*d)\/d))*(d*d**(-1\/4)\/d)**(-36))**(6\/7))**(-3) assuming d is positive.\nAnswer: d**(-333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 2*u**2 - u - 1. Let p(i) = -3*i**3 + 17*i**2 - 5*i + 2. Give 5*h(y) - p(y).\nAnswer: -2*y**3 - 7*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*h + 1220, -5*f + 1551 = -8*h + 4*h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/5976562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + -141209883996.\nAnswer: -141209883995.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1499545.8 to the nearest ten thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25974 + 71220707\/2742. What is the common denominator of d and -13\/457?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78311, 156612, 234903, 313184, 391455, 469716?\n\"Answer: -5*t**2 + 78316*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.55? (a) 4 (b) 0.1463 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = -3*y + 4*k, -k - 4 = y. Let n(z) be the third derivative of z**6\/120 + z**5\/12 - 5*z**4\/24 + z**3 + z**2. Let b be n(-6). Is y less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 3520?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*s**3*t - s**3 + s*t - 39259*t - 807796 wrt t.\nAnswer: -9*s**3 + s - 39259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2413 - 1300. What are the prime factors of r?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:12 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 15*g - 18*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 15*m + 225\/2.\nAnswer: (m - 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = -3*b, -5*t + 97 = -4*b - 5. Let y = 25 - t. Suppose -y*m = 4*f - 3*m - 16, -m - 20 = -3*f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2263*k - 2288*k = -f + 329, 5*k + 85 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -1.58.\nAnswer: -21.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d - 9 = 0, -5*o + d - 3 = 0. Suppose 25 = 5*q + 5*j, 2*q + 3*j + o*j - 13 = 0. Let w = q - 5. Let s(b) = -b**2 - 2*b + 1. Determine s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872025 is divided by 871967?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -47.4. Let v = 21\/151 - -675\/1661. Let q = 0.2 - 1.2. What is the third biggest value in u, -2, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3575, -10949, -23239, -40445, -62567, -89605?\n\"Answer: -2458*c**2 - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + (-2 - -1))\/((-34)\/(-187)). Suppose -7 = -m*z + 356. Solve z = -o - 2*v, -20 = 5*o - o + 2*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -820\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*u**2 + 57*u**2 + 57*u**2 + 144*u**2.\nAnswer: 117*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, p: 5}. What is prob of sequence pk?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.43 - 9.03. Sort 0.1, b, 4.\nAnswer: 0.1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -373, -5, 143 in decreasing order.\nAnswer: 143, -5, -42, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2542853400?\nAnswer: 2, 3, 5, 29, 146141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1093 - -0.4093. Which is the second biggest value? (a) 2 (b) w (c) 41.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(352)*-3*3)\/((sqrt(297) - (sqrt(297) + (sqrt(297) - (sqrt(297) + sqrt(297)*-1)) + sqrt(297)))\/sqrt(3)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3 + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 + 7*m - 2. What is the tens digit of v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.032863\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 4*g - 36, -5*g - 10 = 0. Let r = i + -9. Let h = 0 - -2. Sort r, -1, h in decreasing order.\nAnswer: r, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3 - 16994*i**2 - 7*i + 1723?\nAnswer: 6*i - 33988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 664 = -3*t, 3*l + 2*l = 5*t + 3280. Let f = l + -465. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 3*m**2\/2 + 4*m + 2. Let u(t) = 2*t + 3. Suppose 0 = 372*q - 379*q + 35. Give q*u(l) - 4*c(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:38 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose 3*l - h*t = 0, t = -l - t + 8. Let u(a) = 5*a - 1. Is 8 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 28\/3*x + 1\/3*x**4 + 10*x**2 + 3.\nAnswer: (x - 9)*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 221\/234059 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -1)*-2 + (sqrt(468) + 0)*3 - (sqrt(13)*-1*-5 + 5 + -5).\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2001806325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/6, -2, -3, 703?\nAnswer: 703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -582, -1934, -4564, -8898, -15362?\nAnswer: -24382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*5*3\/(-3). Find the common denominator of ((-36)\/o)\/(1\/(-3)) and 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 9. Let u be d(6). Let c = -90 + 92. Solve -c*i = -u + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 606 = -218. Let x = p + 363. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 42*w = -20*w - 23*w - 10, 5 = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*n - 3143 = -17143 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + 229*g + 3037. Calculate c(-16).\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277.5 - -275.5. Sort g, 1, 528.\nAnswer: g, 1, 528","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23084 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/11)*p**(-1))**(-38) assuming p is positive.\nAnswer: p**(380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -13*v + 21. Let s be m(-4). Differentiate -3 + 61*a**2 + s - 8 + 17 with respect to a.\nAnswer: 122*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/21 bigger than -3\/158765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3 (c) -366 (d) -5 (e) 1\/4 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-4))\/36)\/(18\/32)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2157*h**2 + 86*h + 4. Let s(x) = 2*x. What is y(s(o))?\nAnswer: -8628*o**2 + 172*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 16) in base 12?\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5*(-6)\/(-375))\/(36\/45))\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*o - 161, -3*a - 22 = 5*o - 111. Suppose -3*q + a = 3*t, -t + q - 14 = -3*q. Solve -20 = b - t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ab (base 16) in base 6?\nAnswer: -13031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 44022\/(-4). Let w = q - -6106. What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 - 31 = 3*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3372, -89 in decreasing order.\nAnswer: -5, -89, -3372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-111)\/16*10\/25*2 and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) + (sqrt(891) - ((sqrt(891) + 2*sqrt(891) + sqrt(891) - sqrt(891)) + sqrt(891)))).\nAnswer: -sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 f when four letters picked without replacement from bzfezzbeefzzzfezeeee.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzzjj. Give prob of sequence zz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Let c be 2 + 1 + 9 + -9. Solve c*i = x*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1058 and 49\/134.\nAnswer: 70886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1970*m**4 + 2552*m**3 - 23*m**2 - 430633600*m + 2?\nAnswer: -23640*m**2 + 15312*m - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9901\/81 bigger than -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 0*f**2 - 2*f**3 + 3*f**3.\nAnswer: f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9390, 18768, 28146?\nAnswer: 37524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 8872, -0.1 in decreasing order.\nAnswer: 8872, 4, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2 and 40\/224971.\nAnswer: 449942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350052 is divided by 14579?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y + 872 = 2177 + 870 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/3 + 100*k**3 - 7958*k**2\/3 = 0. Calculate k.\nAnswer: -173, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3685.04 milligrams?\nAnswer: 3685040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 - 334.05. Round a to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11*v**2 + 2*v - 10. Suppose 4 = g + 1. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 466*k**2 + 5250*k - 1523. Calculate s(477).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 75. What is the second biggest value in -1\/5, 1, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3*(-17)\/(-34). Let r = 0 - 0.1. Suppose -4*o - 5*h = -2 - 19, -o - 5*h + 24 = 0. What is the closest to k in r, -2, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**5 + 3870*i**4 + 90470*i**3 - 2357760*i**2 + 4004525*i + 6448890 = 0.\nAnswer: -749, -41, -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 5*w - 3*w + 24*w - 14 + 14 + (0*w + 0*w + 2*w)*(3 + 1 - 5) + 4*w - 3*w + 0*w + 3*w - 4*w - 16*w + 1.\nAnswer: 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = -25. What is the remainder when 32 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -54, 2\/3, 13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-12) - (-52029)\/20380. Let h = 3\/1019 - q. Calculate the common denominator of h and 47\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + (6 - 16 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.8107 micrograms in milligrams?\nAnswer: 0.2318107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 93. Let m = 339\/11 - o. Let z = -2 + 3. Which is the nearest to z? (a) 1\/4 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 11*k - 13. Let i be z(-2). Suppose 812 + 553 = i*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {b: 3, n: 1, i: 1, d: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(72) + 1 + sqrt(72) + 0)*5 + sqrt(72) + 3*(3*sqrt(72) + sqrt(72) - sqrt(72)) + sqrt(72) + 1 + sqrt(72) + 0))**2.\nAnswer: 6336*sqrt(2) + 139536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 210.23157 months?\nAnswer: 0.0175192975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50020 by 10004.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/40 + 2\/4 + 1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u. Let b(c) = 10*c**2 - 60*c - 16. Let x(y) = -3*y**2 + 19*y + 6. Let l(m) = 3*b(m) + 8*x(m). Calculate l(i(k)).\nAnswer: 384*k**2 - 224*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/8)*w**(-6)*(w*w**1)**10 assuming w is positive.\nAnswer: w**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -44*w. Let b(x) = 6*x**2 + 32 + 8 - 40. Give p(b(f)).\nAnswer: -264*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/d**(-1\/8)*d)\/d)**(-24\/7)\/(d\/(d*d*d\/(d*d**(-4\/17)*d)))**39 assuming d is positive.\nAnswer: d**(-183\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c + 3. Let q(l) = -5*l - 2. Let m be ((1\/(-1))\/1)\/1. Let f be 10\/(-2)*(m + 0). Let z(j) = 2*j - 9. Let k be z(6). Determine f*q(t) + k*p(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/126)\/(9\/((-54)\/(-34)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -17*p + 13. Suppose 0 = -4*m + 2*m - p*z - 28016, 27992 = -2*m + 2*z. Round m to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-3)\/(6\/4)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373611854 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 3:32 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -903 divided by -332\nAnswer: 903\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 10 = -4*n, 2*n - 980*b = -984*b - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8091048 and -11\/317296?\nAnswer: 16182096","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/7 + 1293*p**3\/7 + 7869*p**2\/7 - 1221*p\/7 - 39330\/7 = 0. Calculate p.\nAnswer: -5, -3, 2, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1\/9 - (-300)\/(-270)). Solve 66 = -k*a + 76 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 106, 167, 228, 289, 350?\n\"Answer: 61*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -81*t**4\/2 + 21*t**3 - 3*t**2 - 17. Determine i so that a(i) = 0.\nAnswer: 0, 1\/6, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*a = 132*a + 194894 - 19502. Is 63 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*h - 5*h + 2*h)*(4 + 0 - 2) - 1 + 1 - 2*h)*(6*h + 0*h + 0*h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1014026?\nAnswer: 1014029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -82203000 to the nearest one hundred thousand.\nAnswer: -82200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8065530 divided by 19\nAnswer: 8065530\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242792 is divided by 23812?\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - w + 5*w + 18, -2*l - w = 6. Let m be 52\/(-35) - (-4)\/14. Is l at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356935\/22 less than 61678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*u + 381, 3*h - 295 + 96 = 5*u. Which is greater: h or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {w: 4, k: 1, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 2, 0 in decreasing order.\nAnswer: 2, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 * -453\nAnswer: -2899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7 and -67\/148090?\nAnswer: 1036630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2651 and 78\/26 + (-19293)\/6507.\nAnswer: 23859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(1 + 2 - 16488\/5490)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.56. Let a = 0.06 - k. Sort a, -2\/9, -3\/4.\nAnswer: -3\/4, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s**2 - 3*s + 4. Let w be k(5). Suppose z + 3 - w = 0. What is the greatest common factor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 14*t**2 + 92*t - 47. Let h be q(-19). Calculate the greatest common factor of h and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/54 and 38\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 119 (b) 2 (c) -0.2 (d) 594\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -724c (base 14) in base 3?\nAnswer: -222222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36795024 - 36795026.00000024. Let v = -0.14 + 2.14. Let x = v + d. What is x rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 66*v**2 + 5\/3*v**3 + 1\/30*v**5 + 0*v + 1\/2*v**4. What is l in s(l) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45065 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z**2 + 4*z**2 + (-12*z + 0 + 0)*(3*z - 2*z + z) + z - 11*z**2 - z.\nAnswer: -31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9320187 is divided by 366.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-12) - (-6)\/8. Suppose 5*u + b - 808 = 2*b, -5*u - 3*b + 796 = f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 644*c - 1. What is d(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:36 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*n + 35, 3*n = -2*n + 4*j + 35. Let w(v) = 2*v - 10 + n + 9. Let k be w(3). Solve 5 = 2*q - 2*y - 7, -k = -4*q - 2*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + x - 2*x + 3 = 0, 4*k - 28 = 4*x. Let q = 152 - 161. List the prime factors of 9\/(-27) - (k - (-1155)\/q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1653*y**3 - 1654*y**3 + 3303*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/2, 106, 816?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(2) + sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2) + -2)**2.\nAnswer: 16*sqrt(2) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-10\/13))\/y*y))**19*(y**(-21)*y)\/y**(-7\/4))**(-12\/11) assuming y is positive.\nAnswer: y**(567\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.583966*-0.041.\nAnswer: -0.023942606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 314 + -216. Suppose -f - 10 = 2*d + 3*j, 236 = -5*d + j. Let q be 4*(-4)\/d - 1\/3. Solve 6*x - x = q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -57 (c) 2\/3 (d) 20.4 (e) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5 = -t, -3*t + 14 = -2*d - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 92 = -33 - 211. Solve -51 - 45 = -p*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8694 is divided by 512.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/6 + 476*x**3\/3 + 37444*x**2 - 455056*x\/3 + 456968\/3 = 0.\nAnswer: -478, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*b - 72*b = -253. Sort b, -5, -3, 5, 1 in decreasing order.\nAnswer: 5, 1, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(264)*4 - sqrt(264)) + sqrt(264)) - -2*sqrt(264)*3)\/((sqrt(594)*-2)\/sqrt(11) + sqrt(54) + sqrt(3456) + 2*sqrt(3456) + sqrt(54)))**2.\nAnswer: 275\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2337 and -2686.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 33*c + 38. Let q be x(17). What is the greatest common divisor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 776305783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1152 and 4344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60078 (base 12) in base 2?\nAnswer: -11110011001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (66 + -30)) + (10 - 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/13))**10)**(-13\/5) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 103.8. Let h = -10 - n. Let k = -2.4 + 2. What is the closest to 1 in k, h, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53778816, 107557620, 161336424, 215115228, 268894032?\n\"Answer: 53778804*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baab. Give prob of sequence ba.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-44 + 83)*(-494)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2034984)\/666215)\/((-4)\/110)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 - (-21)\/(-4). Let m = 21 + r. Suppose 5*v + 16 = 7*v. Calculate the greatest common factor of v and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-16))\/(-3 - (-1691)\/570)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8833 at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from oooggoogooolgo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 21*m. Let 0*g + 2\/7*g**2 + m + 2\/7*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/49584 and 101\/4311742.\nAnswer: 103481808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*x**2 + 2*g*x - 4280*g - 164*x**2 + 2*x with respect to x.\nAnswer: 4*g*x + 2*g - 328*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - l**2 - 2*l - 2. Calculate the remainder when h(-3) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13553, 108381, 365771, 867005, 1693365, 2926133, 4646591, 6936021?\n\"Answer: 13547*v**3 - v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let q be n(4). Let u(s) = -4*s - 5. Suppose 383*h = 228*h - 165 + 630. Let k(y) = -7*y - 11. Give h*k(b) + q*u(b).\nAnswer: -b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 18073.\nAnswer: 4\/18073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 224489, 225117, 225745?\n\"Answer: 628*s + 223861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/100)\/(6\/4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83495 - -7514651\/90. Find the common denominator of w and -43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 1. Let b(q) = -4*q**3 - 5*q**2 + 8*q + 5. Let u(f) = b(f) + 3*t(f). Let z be u(-6). Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, 3, 0.1, 5, -1209.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -176.8 (b) 4 (c) -2\/3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 188758 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:07 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -1. Let y = -43\/33 - -7\/11. Let p = 391\/5 + -79. What is the biggest value in y, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)\/(72\/18). Solve 2*o + o + 12 = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/370 and -45\/1472984.\nAnswer: 272502040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33969557.\nAnswer: 2803, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 10*r\/3 + 4\/3.\nAnswer: -2*(r - 2)*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 15 - 7 + 8*r - 10*r.\nAnswer: r - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/23694169 and 39\/19064?\nAnswer: 189553352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*f**4 + 345*f**3 + 3177*f**2 + 9168*f - 2496 = 0. Calculate f.\nAnswer: -13, -8, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + 5))*6 + sqrt(13))**2 - sqrt(13))*-3.\nAnswer: -2739 + 183*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4023 to two decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 3)*(-12*q**3 + 8*q**3 + 2*q**3)*(0 + q + 0) in the form s*q**2 + w + i*q**3 + h*q**4 + n*q and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9451 less than 3?\nAnswer: 8.9451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 815 = -41*f + 2734. What is the remainder when 424 is divided by f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5668*h + 1292354. Give r(228).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34922?\nAnswer: 2, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-11) - (-1100)\/(-2904). Let s = 6\/5 - 4\/5. Let q = 1 - 0.8. Which is the nearest to s? (a) q (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -8.2?\nAnswer: -73.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from pazzalg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372951?\nAnswer: 3, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u - 4. Let d(q) = -1 - 5 + 0*q**2 - q**2 - 7*q. Let n be d(-5). What is the units digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95037 - 23306. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u**2 - 1145*u + 330 = 0 for u.\nAnswer: -33, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001014 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 2. What is the remainder when 30 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(117)*-3 - sqrt(117))\/(sqrt(144)*3) + 4.\nAnswer: -5*sqrt(13)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327630 is divided by 81888?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 21399*w + 14 - 22760*w.\nAnswer: -1361*w + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 23*q**5\/15 + q**4\/24 + q**3\/6 + q**2. Let z be m(-1). Suppose 5*h - z = 28. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:08 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*l + 6, 2*a + l - 1 = -4*l. Let k = 2743\/7 + -13471\/28. Let m = k - -90. Sort 0.1, a, m.\nAnswer: a, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 81*a + 4*a + 199*a + 114 + 73.\nAnswer: 284*a + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 692, 1387, 2088, 2795, 3508?\nAnswer: 4227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 252*d**2 - 88*d + 4. What is n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 35 = 6*k. Let g(d) = -d**3 + 7*d**2 + d - 5. Let o be g(k). Suppose o*w + 4 = 12. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 83*j**2 - 132*j + 52.\nAnswer: -(j - 26)*(j - 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425768 is divided by 229.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -5. Suppose 0 = 5*o - 2*r - 30, -f = -3*o - 0*o + r. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n**5 - 8090*n**4 - 1545560*n**3 - 109097040*n**2 + 348303440*n + 247165841120 = 0.\nAnswer: -146, -418\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*o**2*v - 479*o**2 + 5*v wrt v?\nAnswer: -24*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11948 - 11881. Solve 5*j + 25 = 0, 4*g + 63*j = a*j + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m = 116. Suppose -m - 20 = -3*x. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -3, 1\/2, 2\/15, 704?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 1. Suppose -i = -3*i + 58. Let a(l) = 27 - 51 + i - 6*l. Let c = 2 - 1. Determine c*a(s) - 4*d(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 0*h**3 - 2*h**3 - h**3 - 5*h + 5*h - 2*h**3 + h - h + (0 + h + 0)*(-1 + 1 - h**2) + 2*h**2 - 2*h**2 + 2*h**3 + 507*h - 152*h**3 - 507*h.\nAnswer: -156*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 21 + 29)*(-2 + 3 + 0)*(0*o**3 - 4*o**3 + 2*o**3)*(-42*o**2 + 122*o**2 - 49*o**2).\nAnswer: -2108*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-1 - -2))*-30. Suppose 5*h - 207 = 5*g - 67, 5*g - 3*h + 130 = 0. Let c = g + n. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97900 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*r = 24, 21 = 4*x - 9*r + 4*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900 - 850 - 871 - 856 - l + 3338.\nAnswer: -l - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/528878 and 61\/28?\nAnswer: 1057756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871005288 a multiple of 5144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*d + 26 - 28, -5*d - 65 = 5*g. Let u be (d\/15)\/(216\/(-240)). What is the biggest value in -0.22, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let u = 10 + -6. Suppose 0 = -u*z + 40 + 108. Suppose -w = -2*w - 3*s + z, 0 = 3*w + 2*s - 76. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172782?\nAnswer: 2, 3, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12. Let c be f + 0 + 164\/2. Suppose -2*y - 2*r - 2*r = -40, -4*r + c = 5*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:45 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Suppose 0 = d + t*s - 16 + 6, 2*s = -d + 16. What is the greatest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/58968138 and -107\/522172.\nAnswer: 825553932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 19 = 3*o + 2*p, -4*o = 2*p + 16. Let v be 1\/(51\/(-6) - -2). Let u be (-4)\/(-10) + 8\/(-10). Which is the biggest value? (a) o (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:43 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/60 + 14*s**2 + 7*s. Let y(q) be the first derivative of -10*q**3\/3 - 3. Determine -5*p(h) - y(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1836 - -1841. What is the third smallest value in q, -22\/29, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 4*(-4 + (-1 + sqrt(343))*-1 + 2*6*(sqrt(343) - ((sqrt(343) - -2*sqrt(343)) + sqrt(343))))**2.\nAnswer: 6216*sqrt(7) + 1878301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**6 + 344*a**5 + a**3 - 256*a**2 + 2*a - 2?\nAnswer: -360*a**3 + 20640*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 65. Let m be (-7)\/(-4) - 1\/(-4). Suppose i*v + v = 4*u + 30, -m*v = -4*u. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/5)\/(3\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -567.5 - -567.2. What is the fourth smallest value in -2\/5, p, 3\/11, -0.5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - m + 38 = 0, 2*m = -3*t - 13*m - 54. What is the closest to 0 in 5\/8, 0.4, -2, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) + (-124)\/(-72). Let p = -8.5 + -1.5. Let x = p + 8. What is the third biggest value in k, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1683*q = -90*q - 20709 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012326 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2443*h**4*m - 6*h**3*m + 38640*h**2*m wrt h?\nAnswer: 58632*h*m - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2777\/369 + 7\/82. Let z = 1783\/2 - 926. What is the common denominator of z and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 274*y**2 + 93706*y - 566. Calculate w(-342).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 90, -4\/7, 33, 4, -1\/4, -30, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*k + 41 - 19 + 3, -20*k + 28 = -8*z - 18*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, f: 2, e: 8, v: 6, r: 1}. Give prob of picking 1 e, 1 r, and 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 + 1 - (-3564 - -3438).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4542 is divided by 3965.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0.5, 91 in decreasing order.\nAnswer: 91, 31, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 5*h + 0*h)*(-3*h**2 - 3*h**2 + 4*h**2) + 0*h**2 - 2*h**3 + 0*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 17*s - 32. Let n be b(5). Solve -3*f - 2*g + 4 = 0, -6*f + f - 6 = -n*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/4 - 2*d**3 + 3*d**2 - 15*d + 14. Let p be f(6). Is 7 a factor of p\/(-2)*30\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0, 4, -201, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72013.69 centuries?\nAnswer: 720136.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104) + (sqrt(104) - (sqrt(104)*-1 - sqrt(104))))\/sqrt(8) - (sqrt(1573) + -2)**2.\nAnswer: -1577 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w + 3*g + 10, 0 = 3*w - 2*g - 4. Suppose w = m - 4*m. Suppose 0*k - k + 67 = m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 + -147 + 7 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -730 + 629. Which is the smallest value? (a) 0.1 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 6*r + 5. Let v be m(6). Suppose 4*s + 5 = v*d, -2 = 2*s - 3*s - 2*d. Solve 3*j - l + 4 = s, -5*j - 3*l - 2*l - 40 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107841, -5, -1, 4 in descending order.\nAnswer: 107841, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -9394612?\nAnswer: 3757844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53116, 106017, 158916, 211813, 264708?\nAnswer: 317601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(110) - ((sqrt(110) - 3*sqrt(110)) + sqrt(110))) - sqrt(110)))\/(-2*sqrt(490)*-5).\nAnswer: -9*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*z - 276 - 847 = 166 + 1871 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 + 5*z**3\/6 - 2*z**2 - z. Let q be i(4). Suppose 12 = -q*g + 3*g. Solve 4*w - g - 2 = d, -4 = 2*d - 4*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-6)\/105*-10. Solve -5*d - 4*o = l, 4*o + 4 = -0*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288\/25 + 2229\/200. What is the fourth smallest value in 306, a, -5, -1\/7?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + sqrt(832)))**2 + -4 + ((sqrt(208) - (sqrt(208) - 5*(sqrt(208) + (sqrt(208)*5 - sqrt(208)) - sqrt(208))))*-2)**2.\nAnswer: -576*sqrt(13) + 340428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y - 3 = 0. Let i(c) = c**2 + c - 1. Let n(t) = -5*t**3 + 2*t**2 - 2*t - 2. Let r(p) = y*n(p) - 2*i(p). Find the second derivative of r(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150150)\/(-62920))\/((-3)\/4)*1*(-4)\/10?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60953637?\nAnswer: 3, 1187, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -457\/1465?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 619707, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:19 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 1. Let z(b) = -13*b**2 + 20*b + 74. Let y(r) = 6*r**2 - 9*r - 34. Let d(x) = -9*y(x) - 4*z(x). Determine d(k) - 4*u(k).\nAnswer: 2*k**2 + k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -57. Let m be y\/(-20)*0\/1. Let j = 30 + -27. Solve m = 2*v - 1 + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -27*f + 11. Let l(r) = -7*r + 3. Let j(h) = -22*l(h) + 6*v(h). Let y(a) = -4*a - 7. Let p(c) = c + 2. Let z(n) = 21*p(n) + 6*y(n). Determine j(z(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 868, 959, 1108, 1315, 1580?\n\"Answer: 29*l**2 + 4*l + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10911 and 39?\nAnswer: 141843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -576682\/193 - -2988. Is 0 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 34 = 30*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5858378 is divided by 488?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*3*(-3)\/6. Let l = x + 17. Are l and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 7*v**2 - 17*v + 9. Let f be n(-9). Suppose 5*l + f*l = 25. Solve 5*d + 17 = z + l, 5*z + 12 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -32 - ((10 - -4) + 2 + -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 0 = -2*z + 8, 7 = r*k - k + z. Let v(o) = 40*o + 48. Calculate the remainder when v(-1) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -39, -32, -7, 42, 121, 236?\n\"Answer: f**3 - 12*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 5*i = 10*j + 30, 0 = 2*i - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - u - 18 = -4*u, 0 = 3*t - 2*u - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**3 + 12*n**2 + 21*n + 3. Does 75 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 16. Suppose c*o = -43 + 49. Let a(n) = 3*n**2 - 9*n + 5. Let d be a(o). Is 2\/9 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 882 - -7?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b600b7 - 2?\nAnswer: -4b600b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23877.994 - 23693.99067. Let u = m + -184. What is u rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 68. Suppose -4*g + 2*g = f + 35, 2*f = 4*g - a. Let p = 103 + f. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*p - p. Suppose -5*z + 4*g = -52, -2*z - p*z - 4*g = -56. What is the least common multiple of (-58)\/(-4) + (-6)\/12 and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**5\/30 + p**4\/24 - 2*p**3\/9 - p**2\/3 + 71. Determine o, given that y(o) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*y + 6 = 2*g, 18 = -3*g - 2*y. Let s(u) = -u**2 - 8*u - 10. Let b be s(g). Let p be (-4)\/(2 + -7 - (-6)\/b). Solve -p*t + t = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 5*n**2 + 6*n + 17. Let h = 52 - 49. Suppose -2*r + 3*f - 32 = 0, 3*r - h*f + 4 + 38 = 0. Is o(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5189.2 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:56 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72, 105, 282, 459, 636?\n\"Answer: 177*y - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 20 + 36 = -32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542473*a**3 - 258*a + 258*a.\nAnswer: -542473*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (279\/(-1364))\/(15\/40 - 0). Sort -10, c, 1\/2 in decreasing order.\nAnswer: 1\/2, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*f - 8 = 0, f + 8 = -3*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 - 2*p + 7 + 0*p + 5*p**3 as t*p**2 + x*p + o*p**3 + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -29601?\nAnswer: 7\/29601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7735 to two decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6975302 millennia to years.\nAnswer: 697.5302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -4295\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-one quarters of a kilogram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2\/27*g**3 + 4 + 2\/9*g**2 + 0*g - 1\/18*g**4. Factor l(q).\nAnswer: -2*q*(q - 2)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 9, b: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 3. Suppose -2*k + 3*k - 1 = 0, -k = 5*g + 44. Let s = -7 - g. Let j be y(s). Solve 3*x - 3*l - 15 = -0*l, -j = 3*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64324 divided by -32162.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = s + s, -k = 3*s - 12. Suppose -s*d = -10*d. Suppose d = -2*u + u - 3. Which is smaller: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*f - 2*f. What is the common denominator of (17\/4)\/(5 + -3) and f\/(-10) - (0 - -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 277*s + 542*s - 266*s - 34*s**2.\nAnswer: -34*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30592)\/(-68) + (-2)\/(-17) is divided by 117.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 0)*(-1)\/2. Suppose 2*c = 12 - n. What is the nearest to -1 in 0.2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 12 = o. Let b be 266\/114 - (1 + o\/(-3)). Solve b*h = 0, 5*h + 2 = -3*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4319 + 4322. Which is the biggest value? (a) 3\/80 (b) 0.2 (c) q (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*4\/(-20))\/(1\/1). Let r = 1 + 0. What is the closest to r in p, -1\/6, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 2*u**3 - 5*u + 5*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -54 - 46 + 99 + 2*r**2. Let d(q) = 15*q. Calculate h(d(v)).\nAnswer: 450*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37816 - 723*g**2 + 37816 to the form v*g**2 + u*g + w and give v.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w + 18*w**2 + 11 - 5 - 17*w**2. Let r be (100\/3)\/(-2) + 4\/6. What are the prime factors of l(r)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 7. Suppose -11 = 3*n + 4. Let k be f(n). Suppose -17 = -k*t + 7. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 10*k + 59. Let i be d(14). Suppose 0 = p - 5*o - 666, 0*p + 2058 = 3*p - i*o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-21 - -8)) + 1 + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 412\/(-11330)*(-5)\/2*(1 + 1). Let x = 3 + -3.03. Which is the nearest to g? (a) 4\/5 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f*f)\/f**(-1\/2)*(f**(-3)\/f)\/f**(-2\/5) assuming f is positive.\nAnswer: f**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*j + 48*j - 19*j - 2*j**3 - 1 + j**4 + 3 - 14*j as m*j**4 + g*j + z*j**2 + y + w*j**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3689571 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 10*t**2 - t - 8. Let d be u(-10). Let b be -1*1 - d\/(-2). Suppose -z - 3*z + 308 = b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43979 is divided by 1332.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 1 = 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 - -2) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/2 - 2*m**3\/3 - m**2 + m - 6. Let a be y(2). Solve 10 = 2*j, -x + 22 = -4*x + a*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 10*f**2 - 9*f - 7. Suppose 3*i - 2*i = -10. Is n(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74083\/14 - 5284. What is the common denominator of i and 89\/135?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a + 70*a = -18905. Let p = -2420 - a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/2*(-7)\/(-21) - 2. What is the nearest to 0.2 in 16, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/2 - 17*y**4 + 305*y**3\/2 - 346*y**2 + 210*y = 0.\nAnswer: 0, 1, 2, 10, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1428.99 + 0.5.\nAnswer: -1428.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 + -109. Find the second derivative of 20*m**4 + 4*m - 21*m - 2*m**b + 14*m**4 wrt m.\nAnswer: 384*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -16*w**7\/21 - 139*w**4\/12 - 139*w. Find the third derivative of k(a) wrt a.\nAnswer: -1920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k. Let g(m) = -4*m**3 - m**2 - 6*m - 1. Let x(t) = g(t) - 5*n(t). Let z = -96 - -41. Let h = -56 - z. Determine x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1255 + -5?\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 262*w - 24. What are the prime factors of c(3)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 33 = -2*h, h - 5*h + 2*x = -6. Suppose -h*g - 20 = -9*g. Suppose q = g*q - 42. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12410855 minus -31999?\nAnswer: 31998.87589145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/210 - 5*w**4\/28 - 919*w**2. Factor s(m).\nAnswer: -2*m*(m + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = 335 + 135. Is -34 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -58692.39, -5 in ascending order.\nAnswer: -58692.39, -5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 19*q - 20*q - 13*q + 51*q.\nAnswer: -q - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3098, 11422, 25296, 44720?\nAnswer: 69694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 18*u + 2*n = 4, -3*n = -2*u - 1. List the prime factors of 673\/3 + u\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 2. Let z be j(-3). Solve 0 = -4*m + 2*f - z, -2*m + 0*f = -3*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v - 57. Suppose -2*y + v = -113. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173040 divided by -161\nAnswer: -24720\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2192 = -2*b + 6594. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9072 divided by 2?\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/24)\/((-340)\/(-17))*(-45)\/(-18).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/7 + 3156*b**2\/7 = 0.\nAnswer: -1578, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 90 = -5*i, -3*i = 4*j - 42 - 44. Calculate the remainder when j is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 >= 13158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.409 - -4.458976. Let r = -0.04 + -0.01. Let z = r + h. What is z rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071016 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) - (-942)\/8. Suppose 0 = -3*c + g + 77. Let o = c + -41. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36\/11 + -346\/99. Suppose -6*v = -3*v + 10*v. Which is the closest to p? (a) 2\/3 (b) 0.2 (c) v (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859585 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -132)\/(-4 + 2) + (-4532 - -4550).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -27 + 0*h**4 - 16*h**6 + 0*h**5 + 0*h**3 - 55\/2*h**2 + 0*h. Find the second derivative of c(t) wrt t.\nAnswer: -1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q + 6. What is m(-5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-4)*(-3 - -7) + -2. Let k be (-10)\/5 + 4 + (l - 1). Suppose 0 = k*s - 37 - 11. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 227215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let p(w) be the first derivative of 72 + 54 + 10*w**2 + 40 - 12*w**2. What is p(b(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5)\/((-18)\/(-1755)*-3). Suppose -k*t = 21*t - 4828. What is the highest common divisor of 355 and t?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {g: 1, x: 5, a: 6, q: 2, p: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 124*a - 124*a + 1.\nAnswer: -3*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -184653568 divided by 16786688\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.018 + 0.268. Let u = p + 0.55. Which is the closest to 0.1? (a) -0.2 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 0.4, -0.05478, -4, -1\/15 in descending order.\nAnswer: 9, 5, 0.4, -0.05478, -1\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:46 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 70. Let o = -98959 + 99596. What is the greatest common factor of o and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -30*((-30)\/(-9))\/(-2) and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012719 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005023337972 to 7 decimal places.\nAnswer: -0.0005023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, -1\/3, -19, -21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -247, -1, -3, -327, 5, -4 in increasing order.\nAnswer: -327, -247, -4, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*t + t - 24, -2*p - t + 15 = 0. Let c be 2\/8 - 15\/(-4). Suppose c*f - p = f. Solve -2*q = 3*q + f*i + 5, 15 = 3*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)*(-6)\/(-12). Let j = 11 - -104. Let f = -125 + j. What is the smallest value in m, f, 0.4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18621 - -35294. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47982\/78 - 2\/13. Let b = u + -295. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 >= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 + 146.00000393. Round v to seven decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 42, 4119, 3, 1 in decreasing order.\nAnswer: 4119, 42, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.922 + 0.078. Which is the smallest value? (a) 1.2 (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4072077 is divided by 1083?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030555 to 7 dps.\nAnswer: -0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-3 + -4 - (3*(sqrt(1900) + 3 - sqrt(1900)) + sqrt(1900))**2.\nAnswer: -1985 - 207*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-36) - (-16)\/(-72). Let s = -7.18 + 4.075. Let x = s + 3.1. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 19*k - 17. Let p be b(-12). Calculate the highest common factor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 24. What is the nearest to -0.2 in t, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181 - 181 + 10*y in the form z + j*y and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h - 9. Suppose -15*l + 5 = 50. What is s(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 8*q**2 + 12*q - 1. Let f be o(-5). Let k(b) = b - 12. Let s be k(f). Solve -s*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -6\/17, 4, 0, 0.1 in increasing order.\nAnswer: -6\/17, 0, 0.1, 4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 3:39 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 924?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 4*b**3 + 4*b**3 + (-41*b + 20 - 20)*(-3 + 3 + b**4).\nAnswer: -42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -772.5?\nAnswer: -3862.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 33*w - 20. Let v be z(-8). What is the hundreds digit of v + 0 - (-35)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45950?\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 less than 7204685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679761 rounded to three dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 6*j - 70. Let u = -15 - -16. Let b be 59*j*10\/u. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12579.624 - -12582. Round r to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 6*a. Suppose 3*h - 6*h = 3. Let s(x) be the second derivative of x**4\/12 + x**3\/6 - 39*x. Calculate h*u(b) + 6*s(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 1253 = 5*a, -3*a = -q + 415. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.524 + 0.024. Let b be (-9)\/12 + 25\/60. Let y = -3.07 - -0.07. What is the nearest to -3 in y, b, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Put -3, y, -2\/3 in increasing order.\nAnswer: -3, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -3*j**4\/4 - 2*j**3\/3 - j**2 + j + 1. Let s = 270 - 272. Let l(o) = o**2 + o. Calculate s*l(a) - t(a).\nAnswer: 3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9843, -19711, -29579, -39447, -49315, -59183?\n\"Answer: -9868*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 31753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321699 and 426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3\/3 - 7*g**2\/2 + 2*g + 2. Let a be w(3). Let n = a - -16. Solve b - n = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 5*g**2 - 7*g**2)*(g + g**2 - g) + g**4 + 232 - 232 - 2*g**4 - 4*g**4 + 2*g**4 as m*g**4 + p + w*g + s*g**2 + q*g**3 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**2 + 84*x + 2. Let m(g) = -29*g**2 + 85*g + 4. Let w(r) = 4*m(r) - 5*s(r). Factor w(a).\nAnswer: -2*(a + 1)*(43*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6409\/27 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + c + 895 = -664, -c - 4 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 0.039 (b) 1475 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 2. Let f(g) = -7*g**2 + 23*g - 1. Let l be f(3). Let j(y) = 4*y - 3. What is l*r(s) + 4*j(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66943 + 2.\nAnswer: 66945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.031817, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {y: 2, i: 4, e: 1, m: 2, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004981812 rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**6\/720 + 19*n**5\/120 - n**4\/4 + 3*n. Let z(i) be the third derivative of m(i). What is the units digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -376 - -541. Suppose 0 = -7*c - c - 264. Let m be 2*(-5)\/(30\/c). Calculate the greatest common divisor of m and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.3, -1731, -4 in descending order.\nAnswer: -0.3, -4, -5, -1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from {c: 4, g: 2, n: 3, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 3 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i - 3*i + 24 + 3*i. Let m be l(-6). Suppose -x + 28 + 20 = m. Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(a + a - a) + 0*a + a + 0*a - 4*a + 5*a - 2*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:49 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1881808882?\nAnswer: 2, 940904441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 - 308.2. Which is the smallest value? (a) n (b) -1\/11 (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/190 and -34\/95?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49102 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269209138 a multiple of 8637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((14 + (6 - 18) - 3) + -15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let j(w) = w**3 - 3*w**2 - 5*w + 5. Let d be j(4). Let n be c(d). Let b be 40\/66*3 + -2. Are b and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 8*n - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 4. Let o(p) be the first derivative of p**5\/60 - 5*p**4\/24 + 2*p**3\/3 - 13. Let r(q) be the third derivative of o(q). Give -4*r(l) - 5*z(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-2 + 22\/10). Let c be -1*1 - 179999\/f. Round c to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27527 is divided by 949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/330 and 143\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20 + 8 + -43 - -85125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-39)*n**31)**(-29) assuming n is positive.\nAnswer: n**232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/100 - u**4\/20 - 4*u**3\/5 - 35*u**2\/2 - 6*u. Let h(v) be the first derivative of y(v). Suppose h(n) = 0. Calculate n.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.99 - -2. Let q = p - 0.01. Let l = 39.9 + -40. Which is the nearest to 0.2? (a) l (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1, 0.2, 6, -873?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.4, -126, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/3)\/(3*(-6)\/(-5724)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let s = 6 - 4. Let o(g) = g**2 + 0*g**s - g**2 + g**2. Give o(l(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-10))\/(34727\/(-545710))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203562 is divided by 8479?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*a + 354*a + 3 = 2*j, 20*a - 8*a + 56 = 4*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 7*d + 3. Let n be f(7). Suppose 0 = 5*w - 5, 2*h + n*w = 4*w + 7. Solve -7 = 2*p + 5*b - 0*b, 0 = -3*p - b - h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*2 + sqrt(1088))*-3 + 1 + 0 + sqrt(1088).\nAnswer: -64*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4002454 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -3 + 3)\/(-1). Let i be (2 - s)*(-1)\/(-1). Is i\/(-2) + (-1002)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164813*n - 84074*n + 177351*n.\nAnswer: 258090*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let k be (7 - 2)\/1 + -2. Let m(o) = -k + o + 3. Calculate m(f(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -95. What is the hundreds digit of (-1077)\/(-6) + i\/(-6)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35385, 35355, 35313, 35253, 35169, 35055, 34905, 34713?\nAnswer: 34473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2010359, 51 in descending order.\nAnswer: 2010359, 51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2686 and 10353238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 63 = -3*f. What is the greatest common factor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-32 - 12). Suppose -19*w = -l*w - 5*o + 49, 0 = 3*w - 4*o - 4. Solve 0*g + w = -8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 3*d, -3*g - 5 - 2 = -4*d. Suppose a + 12 = 6*a + 3*x, d*x = a + 16. Let v = 3 - -1. Put v, a, 5 in decreasing order.\nAnswer: 5, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15176\/42 - (-16)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 49932 + 49734 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3725\/128 (b) -9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 0*f**2 + 0*f**2 + f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*c = 213*c - 9024. Let t = 0 - 0. Let j be 75000\/(-9)*(t - c). Round j to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 4*b, 0 = 4*y - 2*y + 4*b - 12. Suppose -y = h - 0, 2*h = -4*l + 404. List the prime factors of (5\/15)\/(2\/l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7577 + -7576.9998302. Round g to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and -101\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92499 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596605*l - 1 + 198886*l + 198865*l + 198906*l + 1.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 424*c**3*n**2*w - 72*c**3*n + 3*c**2*w + 30*c*n**2*w + 10*n*w wrt n?\nAnswer: 848*c**3*w + 60*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33502 (base 7) in base 16?\nAnswer: 211f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-6)*2\/(-4)*(-2)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 11, a: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1273 and 18981?\nAnswer: 1271727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1 + 1 + 1571*y**2 - 778*y**2 - 783*y**2. Let f(b) = 2*b**2 - 24. Determine f(t(m)).\nAnswer: 200*m**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -24*q**2 + 5*q - 8. Let n(c) = 27*c**2 - 6*c + 9. Calculate 5*h(r) + 4*n(r).\nAnswer: -12*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 - 10*f + 8. Let c be v(6). Calculate the greatest common divisor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1937 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 49*s - 32. Let n be m(19). Let q be (-45)\/n*44\/(-3)*12. Calculate the greatest common factor of 66 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.01, -22\/5, 4, 2\/5, -94?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 4*h**2 + 6*h - 2*h - 7*h**2.\nAnswer: -16*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 13*w + 31. Let r be s(-15). Suppose -7*d + 295 - r = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(18\/7)\/d**(-3\/13))\/(d**(10\/9)\/d)**(-2\/85) assuming d is positive.\nAnswer: d**(195257\/69615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 o when four letters picked without replacement from nfnnfnnoonno?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4848 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 - 5252531?\nAnswer: -5252343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**11*k*k**(-5)*(k*k**5)\/((k\/(k*k\/(k\/k**10)*k))\/k) assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1039*k**2 - 23*k**2 - 634*k**2 + 297*k**2. Let h(w) = -2*w**2. Calculate t(h(l)).\nAnswer: -5596*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.862 - 3.862. Let k = -199 + 1789\/9. Put 0.2, -0.07, k, i in ascending order.\nAnswer: i, k, -0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 0*k + 5*k)*(0*k**2 + 0*k**2 + 4*k**2)*(7 + 51 - 25) to c*k + u*k**3 + t + h*k**2 and give u.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 15, -2*y - p + 27 = 2*p. Let s be 22\/(-8) + y\/3. Factor 0*j**2 + 0*j + s*j**3 + 0.\nAnswer: j**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198\/165*(-7 - -5)\/(-6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4590)\/(-120))\/(-51))\/((-6)\/64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {p: 1, a: 3, y: 6, v: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 + 11030*s - 5477525 = 0. Calculate s.\nAnswer: 755, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 4*d - 2*d**4 + (d**2 + 172 - 162 + 2*d**2)*(1 - 1 + 3*d**2).\nAnswer: 7*d**4 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 1050*b**4 - 94980*b**3 + 544920*b**2 - 1073280*b + 710016 = 0. What is b?\nAnswer: 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3709476*x**2 + 2503800*x - 422500 = 0. What is x?\nAnswer: 325\/963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let t be (-160)\/30 - (-4)\/(-6). Let r be n(t). Suppose -4*l = 3*u + 3 + 5, u - 5*l - 29 = 0. What is the greatest common factor of u and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24\/32)\/((-2)\/(-19776))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a day in hours?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - x**2. Let f be o(-1). Suppose w = -a + 3, 7 = -3*w + f*w - 3*a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 112 - 109 - 92)*(a**5 - 3*a**5 + 3*a**5).\nAnswer: -291*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000334634358 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/90 - 504\/(-270).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-2\/15)*y)\/y*(y*y*y*(y\/y**(-14))\/y)\/y)**(44\/5) assuming y is positive.\nAnswer: y**(12452\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3416)\/(-1098)*(-108)\/(-48).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2. Let v(i) be the third derivative of -i**5\/60 - 7*i**2. What is v(u(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)*r\/((r**0\/r)\/r)*(r*r**(-18\/7)\/r)\/(r*(r**(-26)*r*r*r*r)\/r) assuming r is positive.\nAnswer: r**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158046 is divided by 107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*((0 + 0 + sqrt(275))*-5 + 0 + -1 + sqrt(539) + 4).\nAnswer: -23 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 144 = 234. Let v be 400\/225 - 4\/c. Let z(o) = o + 5. Let g be z(4). Solve y + v*y = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12863 + -1?\nAnswer: 12862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.05 (b) 2 (c) -3 (d) 0.4 (e) 5007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2945026941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 3*a - 100. Suppose 5*g + 0*g = a. Calculate the lowest common multiple of 1 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54867 (base 11) in base 12?\nAnswer: -3a06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 593, 2233, 4953, 8765, 13681, 19713, 26873?\n\"Answer: 2*t**3 + 528*t**2 + 42*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 45*x**2 - 7*x + 29. Let j be n(4). Let g = 515 + j. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.26 and -0.049448.\nAnswer: -0.01285648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 464 + -325. What is the remainder when z is divided by 3 - (36\/60)\/(1\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -99, 0.067, 1\/5?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65052, 70457, 75862, 81267, 86672?\nAnswer: 92077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35995976 > 35995977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.137 + -0.163. What is the second biggest value in 2, 19, 2\/9, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1942840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (192\/6)\/((-4)\/(-6)). Suppose -29*n + 30*n = a. Let x = n + -28. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*t + 19, -4*j - 2*t = -16. Find the third derivative of 2 + 1 + u**2 - j + 6*u**3 wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 54098*u - 2. Let p(f) = -19*f + 25. What is p(v(y))?\nAnswer: -1027862*y + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-12)*3\/(-10). Let r be 1 + (-1)\/(-2) - (-35)\/(-21). Let f = 41.1 - 43.1. Which is the nearest to f? (a) l (b) r (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/120 - 5*x**4\/24 - 23*x**3\/3 - 8. Let d(p) be the third derivative of k(p). What is the first derivative of d(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-2*6)\/sqrt(9) + -2 - (-2 + sqrt(1539)*-1 + sqrt(1539) + (sqrt(1539) - -2*sqrt(1539))*6))**2.\nAnswer: 575244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 110 = -98. Let n be 115\/(-4) - 1\/4. Let x = w + n. Solve 4*s = -4*a + 3*s - x, 4*a - 5*s + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 + 256*w**2 + 2*w - 130. Let t be a(64). Let c(z) = -z**3 + 5*z**2 + 5*z + 2. Let l be c(6). Put t, l, 4 in descending order.\nAnswer: 4, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4730113, 4730110, 4730107, 4730104, 4730101?\n\"Answer: -3*w + 4730116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 - 4. Let z be v(-9). Let r be (-10)\/15*(-156)\/(-40). Which is bigger: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71258 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-11)*(-53)\/(-159).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22366 divided by 615\nAnswer: 22366\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9309797?\nAnswer: 7, 1329971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1725.7696 - 0.5.\nAnswer: 1725.2696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 236129722 to the power of 1\/3, to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14633000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.03 and 379?\nAnswer: 1148.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 99*x**2 + 100*x - 206. Determine n(98).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1183 and -5.\nAnswer: -5915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*r - 1471, 0 = -4*m - 4 + 12. What are the prime factors of r?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-54)*-45 + 21 - 8.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:34 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {h: 1, z: 3, s: 1, a: 1, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:52 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h + 6578. Let f(k) = -17*k**2 - k. Determine b(f(w)).\nAnswer: -221*w**2 - 13*w + 6578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-9))\/(2\/50). Solve k*d + 24 = -26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 7*b**2 + 4*b - 5. Let z be a(7). Let l = z - -22. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -750*u**2 - 11*u + 241. Let t be b(-19). What is t rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -37. What is the least common multiple of b and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t + 7. Let d(u) = u - 5. Let v(z) = -5*d(z) - 4*w(z). Let q(k) = 3*k**2 - 2. Determine 3*q(y) - 2*v(y).\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3685116 - 0.2.\nAnswer: 3685115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12)*(-24)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 39*g + 4*g**2 + 39*g + 21.\nAnswer: 4*g**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 29*g - 24 - 59*g + 34*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1044054 divided by 8.\nAnswer: -522027\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63022 or -395.9?\nAnswer: -395.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w - 2*y, -4*w + 4*y = -5*w - 8. Determine r, given that 32\/7 - 96\/7*r + 16\/7*r**2 + 10\/7*r**5 - 54\/7*r**w + 80\/7*r**3 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2 + 339*h - 1207. Determine y(64).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 973236.6 millennia in years?\nAnswer: 973236600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (3110\/150 - (310\/25 + -13)).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = -y, -q + 3*y = -2*q - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmymmmm. Give prob of picking 4 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64248 divided by 21416\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/23*y**3 + 2\/23*y**4 - 4\/23*y**2 - 24\/23*y + 18\/23.\nAnswer: 2*(y - 1)**2*(y + 3)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h - 3. Calculate x(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -15*x + 88. Calculate b(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111110110011?\nAnswer: -111110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2398 is divided by 141.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 34 = -2*x, 3*r = -x + 8 + 11. Let s = -6 + x. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338795, 1338843, 1338923, 1339035, 1339179, 1339355?\nAnswer: 1339563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/3 - 106256*p**2\/3 - 2833919429*p\/3 - 601602458374\/3 = 0 for p.\nAnswer: -53021, -214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2847, 11314, 25401, 45102, 70411, 101322, 137829, 179926?\nAnswer: 227607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 84 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and (11\/(-2))\/(29\/(-406))?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5793*r**3 + 2*r**2 - r + 5325187 wrt r.\nAnswer: 17379*r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (25 + -2 - (40 - (-7 - -33)))) + 41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from roooooooororrororro.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d**2. Let w be i(1). Let y(a) = a - 1. Let z be y(3). Suppose -6*u + 128 = -z*u. What is the greatest common factor of u and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = -k - 4, 0 = 5*l - 3*k - 12. Let f(i) be the second derivative of -2*i**2 - 3*i + 0 - 1\/6*i**3. What is f(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.62 + -173.\nAnswer: -176.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3310333230 (base 4) to base 10.\nAnswer: -1003500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -27, -3, -3\/4, -2\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*s + 339*s - 176*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 358. Let u(b) = 26*b. Give u(z(w)).\nAnswer: 26*w + 9308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 160, 1461 in decreasing order.\nAnswer: 1461, 160, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24150 and 2576?\nAnswer: 193200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 1. Let t be k(1). Let y = -35 + 235\/7. Are t and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -4*p**2 + 46. Let u(m) = -m**2. What is u(v(l))?\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 10*o. Let s(f) = -2*f**2 + f + 6. Let j be s(o). What is the tens digit of (-3)\/18 - (-145)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2 + l + 3*l**2 + 12*l wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 87 = -4*o. Suppose -o*t + 608 = -12*t. What is the greatest common divisor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 528. Let t(j) = 32*j - 3345. Let w(u) = -19*k(u) - 3*t(u). Let r(i) = -i**2 + 4*i. Let x(v) = v. Let h(s) = r(s) - 4*x(s). What is w(h(f))?\nAnswer: f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**8\/30240 - o**7\/2520 + o**6\/540 + o**5\/30 + 2*o**2. Let j(u) be the third derivative of n(u). Factor j(s).\nAnswer: 2*(s - 2)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -24*n - 67. Let b be x(-18). What is the highest common factor of 73 and b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 81695*z. Let u(f) = f. Determine u(j(q)).\nAnswer: -3*q**2 - 81695*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + 7. Let u be ((-6)\/(-4))\/(6\/88). Calculate the highest common factor of i and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -18, 38, 0, -3 in increasing order.\nAnswer: -18, -3, -2, 0, 10, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 118*v**2 - 173*v + 90. What is a(-57)?\nAnswer: -3045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 4*h**2 - 5*h**2 + (0*h - h + 2*h)*(2*h - 3*h + 2*h) + h**2 - 3*h**2 - h**2 + 13*h**2 + 11*h + 17*h - 32*h - 3.\nAnswer: 10*h**2 - 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8836622 divided by 7\nAnswer: -8836622\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154569, -309131, -463693, -618255, -772817, -927379?\n\"Answer: -154562*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(-56)\/280?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1771 = -689*p + 3052 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1008 and -89\/70980.\nAnswer: 851760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 189483649, 378967293, 568450935, 757934575, 947418213?\n\"Answer: -n**2 + 189483647*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3406152960.\nAnswer: 2, 3, 5, 7, 42239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 52*n**2 - n - 71. Give b(-52).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11970 times -3?\nAnswer: 35910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -409\/9 - -45. Let m = -1 + 0.95. Let g = m - 0.35. Which is the third smallest value? (a) -0.1 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 705103 and -2.\nAnswer: -1410206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnn when three letters picked without replacement from nqncckckqkknnkjkeen?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645624987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 3141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000624385955 rounded to 7 decimal places?\nAnswer: -0.0000624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047526?\nAnswer: 2, 523763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -7*b + 4*b + 79, b - a - 17 = 0. Suppose b = -n + 8*n. Solve y = -0*y - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a1 (base 12) to base 7.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + t - 6*t - 17 = 0, 3*v + 3*t = -15. Let x be ((v + 1)*2)\/(-1). Let c(a) = -3*a**x + 0*a**2 - 3*a**2 + 1 + 5*a**2. Determine c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205131, 205195, 205259, 205323?\nAnswer: 205387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20861424 divided by -523\nAnswer: 39888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*w - 152 + 42, 3*w = -5*h + 82. Suppose -u + 7 = 2*g, 4*g + 142 = 12*u - g. Calculate the lowest common multiple of w and u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 - 1. Let m(n) = -7*n**3 + 9*n**2 - n - 5. Let u(h) = -18*d(h) + 2*m(h). Let x(r) = r**3 + 1. Give -u(g) + 8*x(g).\nAnswer: 4*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 36*c**4 - 8*c**3 - 152*c**2 - 136*c - 28. Let w(j) = -4*j**4 + j**3 + 17*j**2 + 15*j + 3. Let o(s) = -3*h(s) - 28*w(s). Let o(n) = 0. Calculate n.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2403*d = 2386*d + 1105. Calculate the highest common factor of d and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -0.112172508555?\nAnswer: -0.012172508555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 c when three letters picked without replacement from {u: 1, p: 1, x: 1, f: 2, g: 1, c: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1698343, -1698337, -1698331, -1698325?\n\"Answer: 6*d - 1698349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 - -0.2. Let r be 2 + 4 + 28\/8*-2. Which is the closest to -2\/9? (a) -0.2 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 73592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220122111012101 (base 3) to base 15.\nAnswer: 123b1e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)\/(-1 + 12\/15). Let l(x) = -x**2 - 3*x + 14. What is the smallest common multiple of l(w) and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 204118*n**2 + 236158*n + 204141*n**2 - 236158*n.\nAnswer: 23*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2\/3*d**2 + 20\/9*d**3 + 84 - 1\/3*d**4 - 20\/3*d. Factor r(g).\nAnswer: -4*(g - 5)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q - 2*q - 1 - q - 29 with respect to q.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-144)*(-22)\/(-12)*108\/(-216)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(5*1*sqrt(784) + sqrt(784))\/(1*sqrt(648)*-4))**2.\nAnswer: 196\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -36. Which is the biggest value? (a) -2\/7 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 512 = -62. Let u be (6\/4)\/(27\/l). Calculate the highest common factor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1692979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 7*a**2 + 5*a**2 + 5*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 139948.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*b + 64*b + 44*b + 668 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 - (2552\/(-6))\/(-4). Let h = t - -107. Solve -2*z + 4*d + 15 = 7*d, h = -3*z + 3*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 4, q: 5, o: 2}. Give prob of picking 3 e.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - -2. Let r = 1013 - u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + m)*(2152*m - 2152*m - 34*m**2) - 6*m + 3*m**3 + m**3 - 3*m**3.\nAnswer: 69*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 4\/((-12)\/(-141)). Let i = -41 - y. Suppose i*h - 7*h - 30 = -5*b, 14 = -3*b - 5*h. Solve 0 = -5*f + 2*m + b, f - 4*m = 3*f - 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76d + 5?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {m: 5, v: 1, i: 3, c: 7, n: 2}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6022 + -6011. Let l(b) = 54*b**2 + 11*b - 11. Let w(i) = 27*i**2 + 6*i - 6. Give r*w(u) - 6*l(u).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1146 = -596*f - 4218 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, w: 4}. What is prob of sequence wm?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1189, -1164, -1135, -1102, -1065?\n\"Answer: 2*f**2 + 19*f - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1611553 - 4?\nAnswer: 161154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-376)\/56*-7 + -9. Suppose 12*b = 14*b - 190. What is the greatest common factor of i and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - 4.4?\nAnswer: -99.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000187049151 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(1\/(-12)). Let b be 2 - -1 - (6 + 4). Let t = u - b. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1202592714, 1202592712, 1202592710, 1202592708, 1202592706, 1202592704?\nAnswer: 1202592702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2. Let f(n) = -32480248*n**2. Determine z(f(d)).\nAnswer: -1054966510141504*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 3, y: 7, w: 4, d: 1, j: 1}. What is prob of sequence yw?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1792 and 81\/35072.\nAnswer: 245504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**2 - 38*k + 14. Let v be t(-6). Calculate the highest common factor of 344 and v.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*g - 7. Suppose g*f = 776 + 236. Let a be 209\/9 + 2\/(-9). Calculate the greatest common divisor of f and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27367278 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Suppose -2*b = 3*b + 2*a - 16, -5*b - 5 = -5*a. Let y(d) = 2*d - d - b*d. Give -t(x) - y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*o**5*p - 2581*o**5 + 15*o**3 + 5*o**2*p - 25530*o**2 - 3*o*p wrt o.\nAnswer: 540*o**2*p - 154860*o**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54825484*d**4 - 4*d**2*s**3 - 3*d*s**3 + 4924*d*s**2 - 7*d - s**3 - 3*s**2 + 4*s wrt d.\nAnswer: -657905808*d**2 - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214724 is divided by 704.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 666 - 601 - 2921)*(2*x - 3*x + 3*x) in the form d + h*x and give h.\nAnswer: -8322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/11*1\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 9408?\nAnswer: 9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64028195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -59.6 and -18753559050.\nAnswer: -18753559109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28584733 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -39012079358094 and -0.3.\nAnswer: -39012079358094.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -33*i. Let x(w) = -12*w**2 + 3*w**2 + 2*w**2 + 8*w**2. Give x(n(a)).\nAnswer: 1089*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nqyxi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/200934 and 52\/26047.\nAnswer: 1406538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(7) + 5 + (sqrt(7) - -1*(sqrt(7) + 0))*-6.\nAnswer: -11*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -959db2 - -8?\nAnswer: -959daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (746\/10)\/((-66)\/(-330)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4*k**(4\/9)*(k\/(k*k*k\/k**(-6)))\/k**(-2\/7))\/((k**(-2))**(-14\/9)*(k*k**(-2\/7)\/k*k)**(1\/10)) assuming k is positive.\nAnswer: k**(-565\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 529907 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4621*a**3 + 15*a**2*q + 2*a**2 - 170*a*q + 32*a - 320 wrt a?\nAnswer: 27726*a + 30*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 9. Let h(b) = -15 + b**2 + 2 + 13. Give t(h(r)).\nAnswer: r**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327899 - 594557. Let n = -149351 - k. Suppose -a - 1187307 = -n. What is a rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1688 and 213110.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 8 + 28. Let y be h\/5*3\/(-6). Let b = 1 + -1. Is y >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4001413889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 15, -4, 0.05, -0.1, 12, 1\/4, 2\/19?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 114. Which is the closest to 0.2? (a) 0.1 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((5 - -2) + -3)) + (-5 - -35).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {k: 2, w: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12343 times -855\nAnswer: -10553265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 900.4 + -900. Which is the fourth smallest value? (a) -6 (b) g (c) -3 (d) 0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305 + 2*x - 149 + 121*x**3 - 3*x**2 + x**4 - 123*x**3 to r*x + k*x**3 + v + g*x**2 + d*x**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67830)\/(-952) - (-180)\/48.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 1688301926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 9) to base 15\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68530)\/(-1001) - 68)\/(1\/39) - -14.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4)\/((-11)\/(-44)). Let c(g) = g**2 + g - 6. Let p be c(w). Solve p = -2*k + 3 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 + 201*s**2 + 930*s = 0.\nAnswer: -62, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -a + 10, 0*m = 4*a - m - 4. Let q(o) = 0 - 4 + 4*o**2 + o**2 - 2*o**2 + 32*o - 26*o. Is 20 a factor of q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 + 4*s + 5. Let j(q) = 8*q**2 + 3*q + 1. Let c(t) = -t - 6. Let v be c(-5). Let r be j(v). Is u(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*n - 2, 3*n - v - 1 = -2*v. Suppose 2*k = 19 - n. What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c - 1. Let m be a(4). Suppose -j - 38 = -5*q - 12, q + 2*j - m = 0. Find the second derivative of 2*z**5 + 2*z**q + 0*z - 4*z + 2*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141858.7 centuries to decades.\nAnswer: 1418587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 14*w - 37. Let v(c) = -4*c**2 + 107*c - 333. Let o be v(23). Determine l(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1675 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 39.891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4 (c) 1.37 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22501\/882 + 5\/441. Calculate the common denominator of (-13)\/8 + 2 - 3752\/(-576) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 332\/5. Suppose 6*a - 5*a = 1. Let x be 1 + -1*a + 0. Is x less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/14 + 6\/(-12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4758?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -7 - (-2 - -11 - (7 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 10. Let d(l) = l + 1. Let m(j) = 5*d(j) + f(j). Suppose -i + 35 = 4*i. What are the prime factors of m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91162139?\nAnswer: 59, 1545121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560547581?\nAnswer: 11, 79, 645049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 660*r**4 - 676*r**3 - 1988*r**2 + 672*r + 1328 = 0.\nAnswer: -166, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*a + 16, 5*a = 2*a - 3. Let x = 9 - w. Solve -2*y + 1 + x = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 16*n - 10*n - 289 = -3*z, 2*n - 446 = -5*z - 25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let i(b) = 2*b. Let y(n) = -i(n) + 3*l(n). Let r be y(3). Suppose 0 = 4*g + u - 94, 0 = 3*u - r + 6. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 3*i**2 + 12*i - 10. Let h be r(4). Solve 2*o + 0*o = l - 4, -4*o - 5*l - h = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/4 + 11 + -2. Solve 4*b = -20, 3*g - u*g = b - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 7*g + 3*g**2 - 4*g**2 - 5*g.\nAnswer: 3*g*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3006 + -3009. Which is the closest to -4? (a) i (b) -2 (c) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c - 3. Let j(v) = 2*v + 13. Let s be j(-7). Let x be n(s). Let u = 23 - 16. Calculate the greatest common divisor of u and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25366150.\nAnswer: 2, 5, 101, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -60, -134, -236, -366?\n\"Answer: -14*d**2 - 4*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -21.2. Put 5, u, 0.3 in increasing order.\nAnswer: u, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 22*n**2 + 52*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(4*sqrt(3)) + 5 + sqrt(1584))*-6.\nAnswer: -147*sqrt(11)\/2 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 + 21*d + 7. Let c(v) = -3*v**2 - 12*v - 4. Let w(b) = -7*c(b) - 4*h(b). Let k(l) = 2*l + 190. Calculate k(w(j)).\nAnswer: 2*j**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 31. Let z be 51\/(-3) - (4 - u). Is 7 a factor of (z - 11)*1\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 89 = 1682. Which is the closest to 0? (a) o (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/3 + 52)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8)*0\/7)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**4 + 10*k**4 + 10*k**4 + (-1 + 0 + 0)*(-9 - 4*k + 9)*(-4*k**3 + 3*k**3 + 7*k**3) to the form q*k**4 + i*k + h*k**2 + f*k**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*l + 3*c, -2*c = -c - 1. Solve -4*j + j - 9 = l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 56*r - 12 + 52*r - 104*r - 45. Let m be w(15). Solve 4*c - 16 = 6*c + m*j, 5*c + 3*j = -22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, 3, 0, -2, 2856 in increasing order.\nAnswer: -3, -2, 0, 3, 22, 2856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Let u = -17 + 12. What is the second biggest value in -2\/7, u, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -309 + 312. Solve 3*p = -2*s + 17, -8 = -3*s - d*p + 2*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let v(t) = t - 23. Let m(p) = 6*a(p) - v(p). Let x be m(-5). Calculate the remainder when (-1 - 42\/4)\/(4\/x) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 10, 5 in ascending order.\nAnswer: 5, 10, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5607 divided by 3.\nAnswer: -1869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89\/22 - 17\/11. Let h(k) be the first derivative of -3*k + j*k**2 + 1. Let x(n) = 14*n - 8. What is 8*h(l) - 3*x(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 2470*p**2 + 1819 - 349 + 1239*p**2 + 1230*p**2 to the form a + l*p + x*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6 - 8 - 14*b - 1 - b**2. Does 6 divide k(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:44 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6 + 13092\/24. Suppose 4*x = -v + 544, 0 = -4*x - 8*v + 12*v + c. What is the smallest common multiple of 12 and x?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + b + 12. Let s be q(4). Let p = -26 - s. What is the smallest common multiple of (45\/(-30))\/(3\/(-4)) and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(56)\/(2*sqrt(7)))*-5.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006268088 to six decimal places.\nAnswer: 0.000627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*u**2 + 15*u**2 + 9*u**2)*(-3 + 1 + 4)*(5 - 4 + 6) as z + g*u + j*u**2 and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42524338 to the power of 1\/2, to the nearest integer?\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2)**2*(p**(-1\/3)*p)**(-45))\/((p\/(p*p**8))\/p*p**0*p**(1\/4)*p*p**7) assuming p is positive.\nAnswer: p**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22578079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*p - 1 = 0, -5*p - 37 = 4*g - 0*p. Let z be (-5 - -3) + (-13)\/(-5). Which is the second biggest value? (a) z (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {t: 4, r: 1, a: 5, h: 2, s: 4, b: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 29 = 184. Let c = -42 + k. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 172. Suppose 50*u - y*u + 8 = 0. Solve -2*j = -u*w - 2, 1 = w + 2*j - 4*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-38) - (-503880)\/722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30629040 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1180709674 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + 1 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - 4*l**2 + 0*l**2 + (0 + 3 + 1)*((-2*l + 4*l + 0*l)*(5 - 5 + 2*l) - 2*l**2 - l**2 + l**2 - 3*l**2 + l**2 + 3*l**2 - 3*l - 2*l**2 + 3*l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25920 and 14985.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**15*d)*d)**(1\/41) assuming d is positive.\nAnswer: d**(-14\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -986141, -986175, -986231, -986309?\nAnswer: -986409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -19.69372413082\nAnswer: -19.64372413082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.6 + -33. Let d = 2.5 - 3. Which is the second biggest value? (a) d (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58751)\/1199*(1*(-52)\/(-28) - 1)*2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 8*f**2 - 11*f - 84. Let r be t(-8). Suppose c = 34 + 354. Calculate the greatest common factor of r and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, 5, 25\/3, 1\/8, -17 in increasing order.\nAnswer: -17, 1\/8, 0.25, 5, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1176 and 479.\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10920000 rounded to the nearest one hundred thousand?\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w**(-30)*w)\/w*w**20\/w assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6 - 2561\/591. Let h(m) = 5*m. What is h(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/24 + m**3\/3 + 40*m. Factor c(t).\nAnswer: t*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3562 + -2007. What are the prime factors of o?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 6:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from gcgjgllcg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 60*n**3 - 42*n. Let t = 139 + -97. Let f(m) = 7*m**3 - 5*m. Give t*f(q) - 5*w(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2829*t + 200016 = 6533*t for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68, -77, -86, -89, -80, -53, -2?\n\"Answer: k**3 - 6*k**2 + 2*k - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -28 + 11 + (4 - 4)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j)*(0 + 2 + 0) - 2*j - 5*j + 3*j + 0*j - 3*j + 2*j + (-1 - j + 1)*(-3 + 4 + 1).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -85, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g - 25. Let m be b(-5). What is the third biggest value in -2, 5, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-22))\/(558\/(-144243))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -5*p - 27, -4*n - 23 = p - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**19\/(h*h*h**8)*((h\/(h\/(h*h**5)))\/h)\/(h*h\/h**36) assuming h is positive.\nAnswer: h**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -7*j - 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l*l**(-1\/3)\/l)\/(l\/(l*l\/(l*l*l*l\/(l**1*l)*l)))**(-7\/3))\/((l**(-5)\/(l*l**(3\/2)*l))\/(l**2\/(l*l*l\/(l\/(l*l**(3\/2)))))) assuming l is positive.\nAnswer: l**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 + 199 = 14*a + 107*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 12030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353391.\nAnswer: 3, 117797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2 - 462*z + 207. Calculate m(57).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.98 times -60056\nAnswer: 178966.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(2 + -4) + 72 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-20)\/5)*-104. Let y = z + 105. Which is the smallest value? (a) -8 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 10) in base 12?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8 and 23\/467?\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f - 13. Let d(m) = 7*m - 6. Let a(n) = 13*d(n) - 6*z(n). Let u(s) be the second derivative of -s**4\/12 - 15*s**3\/2 - s. Give u(a(i)).\nAnswer: -i**2 - 45*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 3)*(-1 + 2 + 1) + 0 - 3 + 1)*(-31*o**3 + 468*o - 468*o).\nAnswer: 186*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9454 - 4711 + 11*k**2 - 4743. Let d(o) = 3*o - 7. Determine v(d(x)).\nAnswer: 99*x**2 - 462*x + 539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68577136.9 - 2157?\nAnswer: -68579293.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/12*-2 - 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/5 + 2\/5. Let m be (-27)\/(-126)*12\/(-18). What is the nearest to i in m, 3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3888 divided by 10956.\nAnswer: 324\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 + 25*k**3 - 110*k**2 - 580*k - 600 = 0. What is k?\nAnswer: -6, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.83366 + -3.83. Round k to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1104311598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(171) + 1) - 2*(sqrt(475)*3 + 2).\nAnswer: -54*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3802154.921 and 3.\nAnswer: -3802151.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j**3 - 2*j**3 - j**3 - 120*j**4 - 5*j**2 - 80*j**5 = 0. What is j?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42612 divided by -3\nAnswer: 14204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9539 + 2?\nAnswer: -9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 23*r + 79. Is h(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.4135 days in microseconds?\nAnswer: 48592526400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4 - 19 + 24*s - 3*s + 0*s. What is the units digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmzm when four letters picked without replacement from mzmmmmzmmmmzmmzmzmm?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 12*u + 39*u - 2 to the form f*u + l and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iririiyr. What is prob of sequence iryi?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from {s: 4, h: 2, z: 10, w: 1}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -25111?\nAnswer: -25113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/3 - 562*u**3\/3 + 25560*u**2 + 213750*u + 406125 = 0?\nAnswer: -5, -3, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 1)**2 + -5 + (sqrt(833) + 0 + -3)**2.\nAnswer: -28*sqrt(17) + 1671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5698 is divided by 416.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -29. Suppose -2*p = 2*g, p + 4*g + 5 + 7 = 0. Let t(j) = j**3 - 3*j**2 - 2*j + 2. Calculate the remainder when w is divided by t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)\/(t*t*t\/(t\/(t*t\/(t**(3\/5)*t)))))\/(t**(-1))**(9\/4))\/((t**(2\/9))**(1\/19))**(-42\/5) assuming t is positive.\nAnswer: t**(1651\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007266788 to 5 dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*b - b - 30, -4*c + b = -41. Suppose 0 = 20*y - 2*y - 2574. What is the greatest common factor of c and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(56\/(-36))*2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2 - 1544929782*n - 198900669275880627 = 0.\nAnswer: -257488297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose 2*d + 10 = 3*m + 4, 3*m - v*d - 6 = 0. Let m*o**2 - o**3 + o - 1 + 0*o - o**2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 b when three letters picked without replacement from {c: 1, b: 2, v: 1, p: 1, d: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18529 divided by 277.\nAnswer: 18529\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4601a (base 15) to base 13.\nAnswer: -7a527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45*(-15)\/100)\/((-1)\/4). Put 1, o, 4 in descending order.\nAnswer: 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4.97. Let f = 4.97 - i. Let s = -0.02 + -1.98. What is the second biggest value in f, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 + 14*q**2 + 19*q - 49. Give d(-4).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxn. What is prob of sequence xx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.19 and 2491.16834526?\nAnswer: 2491.35834526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -0.44 (b) -0.07 (c) 2\/7 (d) 138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -686 + 1017. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:03 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1152 = 2*j, 571 = -j - 3*s - 0*s. Let o = -980455\/6 + 162827. Let t = j - o. What is the common denominator of t and 145\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -12*b - 466. Let w be x(-39). Sort 3, w, -6, 0 in increasing order.\nAnswer: -6, 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*g - 141 = -584, 3*f - 3*g = 273. Solve f*l - 11 = 98*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 1\/15*k**3 + 10*k**2 + 0 + 0*k - 1\/30*k**4 + 1\/150*k**5. Let r(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000215 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 7*w**2 + w - 2. Let h be x(-7). Let d be (-1)\/2*54\/h. Let c(s) = d*s - 8 + 0 + s - 3*s. What is c(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -163212 - 1?\nAnswer: -163213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-4) + (-3)\/(-12). Let u(q) = -5*q - 3. Is 11 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 81, 72, 5, -4, 52 in descending order.\nAnswer: 81, 72, 52, 15, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*h = 478504, 14*k - 21*h = -24*h + 1674665. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2536 divided by 13.\nAnswer: 2536\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - ((sqrt(204) - (sqrt(204) + (sqrt(204)*4 - sqrt(204)))*1) + sqrt(204)) - sqrt(204))\/(sqrt(768)*2))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-8360)\/165*(-8)\/(32\/(-6))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3935 (base 11) to base 13\nAnswer: -243b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*y - 2105 + 4361 + 4854 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 35 = -3*d. Suppose -d*c = 0, a - 4 = -a - c. Solve -22 = 2*n + 4*i, 0 = -n + 2*i + a*i + 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 250926 - 5?\nAnswer: 250921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21628 is divided by 3050?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 times 0.04885?\nAnswer: 0.0122125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 38*o - 15. Let z(c) = -5*c + 2. What is x(i) + 6*z(i)?\nAnswer: 2*i**3 + 8*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1557 and 692?\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1881\/(-4104))\/((138\/(-12))\/23).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from opoodoppppdopp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-266)\/(-36) - 1) + 0 and -3 + 1 + (-492)\/(-80).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.337289 or -49?\nAnswer: -1.337289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 6.6043.\nAnswer: 4.6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahaahhaaahha. What is prob of picking 2 a and 1 h?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*j**2*o**2*w**2 - 2*j**2*o**2*w - 11*j**2*o*w**2 - 512*j**2*w + 2*j**2 + j*o*w - o**2 wrt w.\nAnswer: -212*j**2*o**2 - 22*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 + 1. Let a be q(-1). Let u = 45 - a. Suppose -5*c + 31 + u = 0. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216966*c + 6296?\nAnswer: -216966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 316 + 1631 = 0. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 11*h - 72. Suppose 76 - h = 2*s. What is the remainder when s is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2232? (a) -2\/5 (b) -1\/3 (c) -1\/6 (d) -2\/27 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - p**2 - p**2 + (-120 + 120 + 11*p)*(12*p - 5*p + 8*p).\nAnswer: 164*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 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: In base 7, what is 2313 - -101360?\nAnswer: 104003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 4. Let l be t(-4). Let r be (-12)\/(-5) + l\/30. Suppose -3*s - 36 = -4*o - 2*s, 2*o - r*s = 18. Calculate the least common multiple of o and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -45. Solve -y = 2*x - 3, i*y = -0*y - 2*x + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2\/(-20) - 594\/(-540)). Solve -2*s + j*s + 1 = -3*n, -5*s = n + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4732647 (base 8) in base 11?\nAnswer: -802511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllqqeeleeeel. Give prob of sequence eele.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50960 - 52?\nAnswer: -50a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - (4 + -4 + 6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5 - 2595*u**4 - 1689871*u**3 - 8115765*u**2 + 174410600*u = 0.\nAnswer: -1295, -13, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17711*v**3 - 24305*v + 9666*v**3 - 2 + 24305*v.\nAnswer: 27377*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 4 = -3*w, -198*y + 195*y + w + 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 1. Let g be z(-1). Suppose 7 = g*j - 9. What is the smallest common multiple of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.16 rounded to 1 decimal place?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1. Let r(d) = d - 2. Let y be 4*(-4)\/(-2)*4\/(-16). What is y*r(s) - 3*a(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1701) - 5*2*sqrt(1701) - 4*(sqrt(1701) - (1*sqrt(1701) - sqrt(1701))))\/((sqrt(36)\/(sqrt(3)*2))\/(sqrt(400)*1)).\nAnswer: 9360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:33 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274b (base 12) in base 13?\nAnswer: 209c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 730*m**2 - 46*m - 5. Let l(v) = -365*v**2 + 27*v + 3. Determine -3*d(t) - 5*l(t).\nAnswer: -365*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 118563 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + 9 - (7 + 1)) + (20 - (18 + -5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6465 by -6.\nAnswer: -2155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 12*o - 2584. Determine p(-45).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.1 + 1.1. Let z = t - -6.1. Let v = -0.37 - -0.07. Which is the biggest value? (a) z (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22762583, 22762587, 22762591, 22762595?\nAnswer: 22762599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2 - 1 + 2*y**2 + 4 + 2*y. Let b be 3 - 3\/(6\/(-4)). Let l(p) = 1 + 5*p**2 + 3 - 1 + 4*p - p**3. Determine b*a(i) - 2*l(i).\nAnswer: 2*i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1259 (b) -3\/10 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9064 and 541883?\nAnswer: 47685704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/12 + 87\/18. Differentiate -3*h**2 + 29 - 13 - v*h**2 wrt h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.9883 litres to millilitres.\nAnswer: 776988.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2 + 202. Let v = y - -251. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.366 - 0.666. Let g = -47.4 + r. Is g < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 161*q - 26. Let w be k(13). Suppose -5*i + n = -w, -1644 = -4*i - 3*n - n. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-27) - (-58)\/18. Let g(z) be the second derivative of -1\/16*z**4 - 1\/24*z**d + 1\/120*z**6 + 0 + 1\/80*z**5 + 1\/4*z**2 - 2*z. Factor g(o).\nAnswer: (o - 1)**2*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(240\/468) - (1 - (-2)\/(-4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.000045864 and -12.08.\nAnswer: -12.080045864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12)\/(sqrt(4) - (sqrt(4) + sqrt(4)*-2)) + 3*(sqrt(3) - (sqrt(3) + 1 - sqrt(3))))**2.\nAnswer: -183\/4 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - h**2 + 3*h + 3. Suppose -5*s - 1 = 9. Calculate the smallest common multiple of o(s) and 2 - (2 + -1)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10479 divided by 318?\nAnswer: 3493\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*-1*266\/(3192\/27).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h + 6*h**2 + 6*h + 7*h**5 + h wrt h.\nAnswer: 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003760158 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0958 - 0.2042. Let r be (1\/6)\/((-2)\/6). What is the closest to -3 in 5, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) -3069 (b) 3 (c) -8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -177 (c) 0.1 (d) 30\/23 (e) 6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012983875 to 7 decimal places.\nAnswer: -0.0001298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313\/6 + 52. What is the closest to h in 2\/3, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*a - 3*a + 13, 0 = 2*a - b - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:34 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823405121.\nAnswer: 7, 11, 59, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-141)\/(-94)*(-8)\/(-6). Suppose -4029 = -5*t + l, -a*t + 8 + 1605 = l. List the prime factors of t.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/15)\/(52*(-129)\/20124)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let y(b) = -b - 1. Let i(t) = 3*o(t) - 4*y(t). Let m be i(5). What is the units digit of 504\/27 - (-2)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 37?\nAnswer: 70\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5285?\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-4 + (-822)\/(-20)). Let o = u - -34. What is the second smallest value in -2, -5, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/4, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 36, -4*l + 138 - 109 = 5*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*j + 107\/4 - 1\/4*j**3 - 107\/4*j**2.\nAnswer: -(j - 1)*(j + 1)*(j + 107)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17101*k**3*q + 11*k**3 + 5*k**2*q + k**2 - 44*k*q - 525*k - 223 wrt q.\nAnswer: -17101*k**3 + 5*k**2 - 44*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2079*i - 2079*i - 2005 - i**2.\nAnswer: -i**2 - 2005","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -16*k - 465*k**3 + 227*k**3 - 1 + k**2 + 234*k**3. Let n(m) = m**3 + 5*m. Let d(g) = -7*n(g) - 2*r(g). Calculate d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21959957 is divided by 89.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-40))\/(74*(-23)\/(-13616))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -96. Put r, 6, -4 in decreasing order.\nAnswer: 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*r - 12 = 0, 5*o - 102 = 3*r + r. Suppose -o*f + 2376 = -18*f. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 75. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93468996253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (-2*sqrt(144))\/sqrt(8))\/sqrt(6).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 433990, -1, -54.\nAnswer: -54, -1, 433990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 + v. Let i be w(0). Suppose i*f - 498 = -5*f + j, 411 = 4*f - 5*j. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4320, -4318, -4316?\nAnswer: -4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**9\/36 + 11*k**5\/60 - 23*k**2. Find the third derivative of q(h) wrt h.\nAnswer: 1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -5. Let u = s + -20. What is the lowest common multiple of 4 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - 23 - (-567 + 559) - 6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 5*z**2 + 5*z - 3. Let w be i(-6). Suppose -1 - 3 = -k. Suppose -4*j - m + 0*m = -22, -j - w = -k*m. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720303 and 275248480?\nAnswer: 275248480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12787525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-89.7.\nAnswer: -179.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-119)\/(-408) + (-2 - 11\/(-6)). What is the third biggest value in z, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 times -0.067571?\nAnswer: -5.000254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 35. Which is the nearest to 4? (a) -0.1 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 + 3.1. Let l be 4 + (-4 + -3 - -3). Which is the smallest value? (a) -5 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - (3 - 1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5205*n + 24. Let v(t) = 7806*t + 34. Calculate 7*b(l) - 5*v(l).\nAnswer: -2595*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15681132 and 23.\nAnswer: 360666036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (13 + -29)) + (1 - 3 - 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -28) + -166 + 88?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407 - 405. Suppose 4*w = -4, -m + l*m - 16 = 3*w. Solve 0*t + 14 = -2*b + 2*t, -b + m = 4*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -10. Find the third derivative of 7*l**5 + 58*l**3 - 58*l**x + 8*l**2 wrt l.\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - 5*f**3 - 2680704 + 10*f**2 + 2680708.\nAnswer: -5*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7156\/3 + -350654\/147. Is x less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - y**3 + 0 - 5 + 2*y - 5*y**2. Let x be q(5). Let h(k) = 3*k - 4. List the prime factors of h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*v + 24 - 39*v - 20.\nAnswer: 156*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a (base 11) in base 5?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8356753787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1092.6 + -1092.34. What is the third biggest value in -1\/10, o, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(153) + (-3*(sqrt(153) - (0 + sqrt(153))))**2 + -5 + -3.\nAnswer: -11 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(2 + (sqrt(132)*1)\/sqrt(12)))**2 + (sqrt(88) - -5*(sqrt(88) - 2*sqrt(88)))\/((sqrt(144) - sqrt(16))\/sqrt(2)).\nAnswer: 34*sqrt(11) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -0, 156 = 2*m + 3*u. Suppose -y = -3*y - 3*t + 50, -3*y + 4*t = -m. What is the highest common factor of 50 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/67 or 820\/17?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - n = 14, -6*n + 1 = 3*m - 2*n. Find the third derivative of 0*z**3 - 9*z**3 - z**3 + 9*z**m - 7*z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 15*w + 950. Calculate m(-26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-168))\/((-2)\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 2*b**2 - 2*b - 3. What is s(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + -105. Let h = 89.3 + -85. Let n = h + -4. Put 3, -0.2, p, n in ascending order.\nAnswer: -0.2, n, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*u - 34 = 0, -3*q - 3*u - 2*u + 28 = 0. Let f(y) = 10 + 8 - y + 10 + 0*y - 20. Determine f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d - 4*d - 2*d. Let o(n) = 8*n + 6 + n - 6. Give b(o(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-24 - -102) + -96 + 38 + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33140)\/(-30))\/((-502)\/3). Let b = d - -2\/1255. Find the common denominator of b and 119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*d - 15 - 3, 24 = 4*d - 4*q. Let t(f) = -d*f + 5 + 3*f - 2*f. Let z(g) = -10*g + 26. Give -16*t(s) + 3*z(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.21 - 163.51. Round o to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:57 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2650002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*h - 44. Let u(y) = -y**2 + 10*y - 4. Let c be u(8). Calculate the highest common factor of h and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 14.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5 - 2*g + 0 - 14*g**3 + 4 - g**2 - 3*g**3. Let f be o(-1). Suppose 3324 = f*y - 13*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42597561 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/2*(-3 - -1). Let z = -5 - b. Suppose 4*k - 4*m - 57 + 5 = 0, m + 5 = 0. What is the remainder when z is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-416)\/(-11) - (-66)\/363. What is the greatest common factor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:32 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 303320?\nAnswer: 909960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-14)\/(-6))\/(-1). Suppose 3*d - d = 10. What is the second biggest value in u, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8456651, 8456654, 8456657, 8456660, 8456663?\nAnswer: 8456666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -2*s - 0*s - 3*f, -4*s + 4*f + 572 = 0. Let v be 2\/7 + s\/(-7). What is the smallest common multiple of 4\/10 + (-152)\/v and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*x**2*y**2 + 3*x**2 + 3*y wrt y.\nAnswer: -414*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4258 = -3311*g - 46568 - 2150 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 12*c**2 - 15*c + 30. Let t be s(13). Suppose 1 = 2*a - 1. Suppose -5*u - 2*v - 12 = 2*v, -u = 2*v. Sort a, 5, t, u in ascending order.\nAnswer: u, a, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 25 (b) -10\/3 (c) -0.04 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70525?\nAnswer: 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2197, -4360, -6555, -8782?\nAnswer: -11041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000187849009 rounded to six dps?\nAnswer: -0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 x when three letters picked without replacement from eetettyeetetxeciexc.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 6677 + -6661. Sort 1, c, -10, 4, -4 in descending order.\nAnswer: c, 4, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 0.1 (b) -33 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90107.9736613 + 90108. What is n rounded to four decimal places?\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14994842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77012965, 77012951, 77012927, 77012893, 77012849?\nAnswer: 77012795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2868538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1)*(-32)\/72*285\/(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-238)\/(-6) - 15)\/((-40)\/(-6) + (44 - 50)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115660 - 1?\nAnswer: -115661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121079171 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s - 2369 + 149721*s**2 + 2*s + 6254 - 148431*s**2 wrt s.\nAnswer: 2580*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 137*w + 367 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140002*y**5 - 91326*y + 6?\nAnswer: 2800040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13489277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 53. Is a\/(-9) - -3 - 6933\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 11*s**5\/20 - 5*s**4\/8 - 5*s**3\/6 - 817*s**2. Suppose -10 - 8 = 3*q. Is u(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v + 19*v - 11*v - 2*r + 51, -69 = 2*v - 24*r + 233 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t - 4*t - t - t + t + (0 - 4 + 2)*(-2*t + 3*t + 0*t) + 2 - 2 + t - 12*t + 505 - 505.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53327.\nAnswer: 53327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2907504 and -73\/21846.\nAnswer: 31982544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/869 - 70421\/3476. What is the common denominator of 38\/(-171)*122\/8 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 0.01, -13, 1\/2, 0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*j = -5740, 3*d + 7*j - 4305 = 3*j. Suppose -6*b - b - d = 0. What is b rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3 + 8. Let j be 16 + (-498)\/30 - (-52)\/(-5). Which is the biggest value? (a) j (b) 0.07 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) 12.6 (d) -0.7 (e) 0.3 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010110001010010111 (base 2) to base 7.\nAnswer: 26553031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1181\/138 + -9\/23. Calculate the common denominator of (-1)\/(160\/(-174)) + -2 and h.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620634 is divided by 1267?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 1:10 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279641 is divided by 166?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 - 8*j + 1976\/3 = 0 for j.\nAnswer: -38, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202.03 - 202.53. What is the third smallest value in -3, i, 54\/5, -18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32813703 and 114?\nAnswer: 65627406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-5 - -4) - -10) + (29 - 76 - -77)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**2 + 50*q - 17. Determine o(9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293856168 divided by 5?\nAnswer: 293856168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 237*o**3 + 6*o**2 + 4*o - 17. Let j(h) = 2*h**3 - 2*h**2 + h - 3. Let g(a) = 3*j(a) + w(a). Find the second derivative of g(p) wrt p.\nAnswer: 1458*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + -6*(sqrt(76) + (-4*sqrt(76) - sqrt(76)))))**2.\nAnswer: -7200*sqrt(19) + 1094625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0389995 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -104. Suppose g + 0 = 3*c + 1, -4*c - 14 = y*g. What is the nearest to -1\/5 in 5, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 2. Let t = 0.0263 - -2.9737. Let d = -5233\/15 + 349. What is the third biggest value in t, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81200 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4852755 - -85.\nAnswer: -4852670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Simplify (sqrt(637) - -5*sqrt(637)*-3 - sqrt(637)) + (sqrt(637) - (0 + sqrt(637) + sqrt(637)*1)**2) + sqrt(637).\nAnswer: -2548 - 91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4535 = -42*f + 1086 - 875. Calculate the highest common divisor of f and 3503.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1702\/33 - 31327\/616. Find the common denominator of s and -13\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4\/(-8) - -4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (sqrt(2) - sqrt(10)\/sqrt(5))))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0 + 0*i**2 + 2*i**3 + 1\/5*i**5 - 4\/3*i**4 + 6*i. Factor r(w).\nAnswer: 4*w*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 4. What is the units digit of p\/315*7 - 112715\/(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from hdvkd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*-2)\/(11\/(44\/(-3))). What is the first derivative of -245*p + 143 + 23 - 11 - w wrt p?\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((0 - -2) + 6) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 3. Let y be z(-2). Let w = 0 + y. Let h be ((-2)\/6)\/(w\/15). Solve -4 = -5*m + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**2 + g**2)*(-3 - 4*g + 3)*(0 + 16 - 3).\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 - 166.4. Put 0.5, -2\/15, l, 4\/3 in descending order.\nAnswer: 4\/3, 0.5, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 25*o**2 + 3*o - 26*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39955 is divided by 9916?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -728, -0.1, -0.28, -5\/57, -0.4?\nAnswer: -5\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -28, -100, -242, -478, -832, -1328?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/10*535\/214?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12178 (b) -3\/2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 114*y**2 - 26*y - 1. Is b(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2 + 5*d + 1. What is the least common multiple of 912\/336 - (-18)\/(-9)*(-1)\/7 and v(5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28582122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2338 and -2\/3507.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:45 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 3279890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -147733249 rounded to the nearest 10000?\nAnswer: -147730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -74788.5 minus -1782346?\nAnswer: 1707557.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3008 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g**(-7))\/(g\/g**(-2\/3)*g*g**(1\/3)))\/((g*(g\/(g**0*g))\/g*g*g)**(-4\/11))**(-18\/5) assuming g is positive.\nAnswer: g**(-474\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1015677 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 + 9*a**2 + a + 3. Let c be f(3). Let b = -156 + c. Suppose -4*x + 103 = -129. Calculate the remainder when x is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 43*q + 455. Calculate v(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. Let t(h) = -5*h**2 - 4*h - 8. Let u(s) = -4*s**2 - 3*s - 7. Let i(y) = d*u(y) - 3*t(y). Differentiate i(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3994 is divided by 1322.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -7*t**2\/2 + 8*t - 144. Let x(j) = -15*j + 20. Let b(i) = -9*o(i) + 4*x(i). Calculate b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*c**2 + 1\/3*c - 4\/3.\nAnswer: (c - 2)*(c + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15181.89 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 16*b**2 - b - 13. Let o be z(-16). Suppose -5*d + 12 = -c, -3*c = -o*d - 6*c. Suppose r - 140 = -r + w, 140 = d*r - 5*w. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-4)\/(-24))*-6*(-4)\/414\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 910*g - 336*g - 575*g. Let c(p) = -78*p**2 - 86*p**2 + 2*p**2 + 4*p**2. Give c(f(n)).\nAnswer: -158*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -825.24 times -22.4?\nAnswer: 18485.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4 = 3*j + 4*b, 0 = -5*b + 20. Let u be j - (103 - 0\/2). What is the tens digit of 1\/(-1)*(-4 + 5) - u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - c - c = -84, 0 = -k - 3*c - 84. What is k rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide (5460 - (-15 + 7)) + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713591879 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 u(s) = 4*s + 44. Let j be u(-10). Suppose -39 = j*k - 223. What is the common denominator of 9\/4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1559\/7 - 48\/(-168). Let y = 224 - u. Calculate the highest common factor of 17 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40200426 divided by 18.\nAnswer: -2233357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = k - 18. What is the common denominator of k\/10*10\/12 and -52\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156.229 and 0.2?\nAnswer: 31.2458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12*p + 4522 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 685908*g**3 + 29404704480*g**2 - 29404018576*g.\nAnswer: 4*g*(g - 85738)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 785 - 782. Let p = 0.1 - 0.2. Sort 0.04, p, z in ascending order.\nAnswer: p, 0.04, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -17\/12 (c) 1903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052 - 45218.\nAnswer: -45217.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*v**2*x**3 - 8*v**2*x**2 - 12*v*x**4 + 7*x**3 - 1048*x**2 wrt x?\nAnswer: 48*v**2 - 288*v*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/120 + d**5\/60 + 26*d**3\/3 + d**2 - 11028*d. What is g(0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 4:29 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 10*b + 9*b + 474, 2*l - 194 = 4*b. What is the greatest common divisor of l and 2413?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 1271634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 23 = 47. Let f = -16 + n. Let x be (40\/f)\/((-5)\/(-3)). Sort 3\/2, -1\/6, x in decreasing order.\nAnswer: 3\/2, -1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.93 - 11. Let h = u + -1.63. Let q = h + -3.3. Which is the third biggest value? (a) 5 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758cc (base 13) in base 14?\nAnswer: -575ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**2 + 5. Let b(p) = 5*p**2 - 3. Let t be 6\/(-4)*(3 - -9)\/6. Give t*s(d) - 5*b(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587458, 586822, 586186, 585550, 584914?\nAnswer: 584278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3606 is divided by 1773.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 5 = 2*s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Suppose 0 = 2*i - 2*o, 0 = o - 2 - s. Let f = i - -10. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -991644, -1983241, -2974838, -3966435?\nAnswer: -4958032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 11*b**2 - 12*b - 7. Is t(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -4a5?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*z + 105 = 85*z. Let k = 362 + -225. Calculate the remainder when k is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -46 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/5, -52 in increasing order.\nAnswer: -52, -5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-18) + (-1 - (-17)\/2). Let x be 4\/u - (-93)\/9. Find the first derivative of 1 + 3 + x*a**2 - 31*a**2 wrt a.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:40 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 3*v**5\/10 - v**3\/6 + 26*v**2. Determine r(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -14\/51?\nAnswer: -14\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**7\/2520 + 11*v**4\/6 - v. Let h(l) be the third derivative of z(l). Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 91)\/(-9) + 1559 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -868690344963*a**2\/8 - 1614333*a\/2 - 3\/2 = 0.\nAnswer: -2\/538111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/4508766 and 69\/772.\nAnswer: 1740383676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/2)\/(-5)*2\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**2 + 0*x**5 + 0 + 0*x**6 + 0*x**7 - 1\/336*x**8 + 0*x + 0*x**3 + 1\/12*x**4. What is the second derivative of w(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(1\/4)\/(f\/f**0*f*f)**11)\/((f*f**(-1))**(2\/9)\/(f\/(f*f**(-1)\/f))**(-32)) assuming f is positive.\nAnswer: f**(-389\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3496)\/608)\/(7\/(-8)).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/225 and 11\/630.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17328383 to the power of 1\/2, to the nearest integer?\nAnswer: 4163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 3*q**3 + (0 - 3 - 6)*(2*q**3 - 2*q**3 - 2*q**3) to the form k*q**3 + i*q + l*q**2 + s and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:53 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 335*p - 7416. What is t(20)?\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b*b\/(b*b**(-1\/5)))\/b))**39\/((b*b\/(b**(-3\/8)*b)*b)\/b**(1\/6)))**2)**(-12) assuming b is positive.\nAnswer: b**(1201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**3 - 9*m**2 + 9*m**2 + (-3 + 3 - 2)*(4*m**3 + m**3 - 4*m**3) - m**2 + m**3 + m**2.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-320) + 0 + 6\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + z - 38 + 84 = 40, 8*z = -48*g + 3*z + 144 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325733598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7127 (base 9) to base 7.\nAnswer: -21121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*m + 37 = 0, -4*m + 5*m - 5 = 0. Calculate the greatest common divisor of d and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 1, r: 2, j: 1, v: 2, o: 2}. Give prob of picking 1 j, 1 o, and 2 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 42. Solve 4*y + 2*g = -2*g + 20, -2*g = -p*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -4\/3 (c) -1\/7700924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1339, 1714, 2029, 2278, 2455?\n\"Answer: -p**3 - 24*p**2 + 454*p + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x - 14*x - 4*x + 2*x.\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231306 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -385*d*g**5*j**2 - 1354*d*g**3 - 14343*d*g*j**2 - 12*d*j**2 + g*j**2 - 2*g + 2*j**2 wrt g.\nAnswer: -7700*d*g**3*j**2 - 8124*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from yyllylkl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1302603\nAnswer: -651301.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/77 and -111\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 970*s - 938*s - 165024. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1707 - 1709. Which is the third smallest value? (a) -23 (b) 82 (c) -0.2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -14*u - 2*u**2 + u**3 - 5 + 21 + 15*u**2. Let g(i) = -6*i**2 - 341*i - 3004. Let s be g(-46). Calculate z(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Let i(b) = 5*b**3 - b + 1. Let p be i(1). Suppose p*r - 70 = -x*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + 169?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 16 = 2*z, 3*g = -5*z - 8. Let k be (2\/(-1))\/(g - 8). Which is the closest to -2\/7? (a) -1\/2 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 941112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 527*0.5\nAnswer: 263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96513253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1278\/(-4) + 3)\/3*-2. Suppose -2*k - 7 = -5, 4*l - 3*k = i. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q + 51. Let p = -530 - -508. Does 19 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + o = 199 - 166, -5*q + 88 = 21*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b + 3. Let n(u) be the first derivative of -11*u**2 + 8*u + 4. Let o(f) = -12*m(f) + 5*n(f). Let c(v) = 0 + 0 - 1. What is 5*c(p) + o(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 90*m + 17184. What is w(-191)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 27*n + 6 = 11*n + 17*n, -3*n + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 3. Let h(l) = 5*l - 4. Let o(q) = -5*h(q) + 4*k(q). What are the prime factors of o(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 - 5\/((-700)\/(-120)). What is the biggest value in -27, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 260, 193, 58, -169, -512, -995, -1642?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11 - 2\/11*d**2 + 8\/11*d**3 - 8\/11*d = 0. What is d?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-210)*-3)\/((-5)\/50).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/10)\/(54\/3420). Let d = s + 78. Let l(o) = 1. Let h(c) = -3*c - 4. Let z(y) = h(y) + 3*l(y). What is z(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2704 divided by 8\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - u = 64, -u = 2*w - 5*u - 128. What is the greatest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -858 - -554. Let b = t - -607. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 13) to base 9.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 3*q**2 - 2*q - 6. Let c be (-204)\/54 - (-2)\/(-9). Give f(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00117637466 rounded to six dps?\nAnswer: -0.001176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*w + 7 = -1, 5*s + 4*w + 4 = 0. Let d be 21 + -15 + s + 0. Suppose -78 = -3*k - 4*p + 76, k - 52 = -d*p. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -646*s**2 + 9*s - 32. Let f be a(3). Let u = f + 9460. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316493?\nAnswer: 316493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*i - 39, -3*i + 143 = 5*v - 4. Suppose 0 = 3*m - v - 0. Suppose 2*x - o - 9 = 0, 3*x = -2*x + o + 18. Put m, -2, x in descending order.\nAnswer: m, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -275 + 277.22. Let c = 3 - t. Round c to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 - c**3 + 3*c**2 + 10*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126.73 - -1.27. Let o = w - 87. Let z = -41.34 + o. What is z rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4821887 to the nearest integer?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Suppose -p = -3*j + 25, 0 = t*j + 3*p - 5*p - 10. Suppose s = 4*s - 54. Calculate the remainder when s is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -829 (base 12) to base 9.\nAnswer: -1556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:47 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -252.8676 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 5*n + 97. Determine m(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-1320)\/(-1309))\/20)\/((-172)\/(-301)))\/((-6)\/16).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 17*x - 210 = 18*x, f - x + 214 = 0. Let m = f - -501. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d - 81. Let r(m) = -m + 5. Give r(c) + 2*v(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d - 2. Suppose 0*m + 3 = m. Let b be 4*((-15)\/6 + m). Calculate the remainder when 51 is divided by s(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1113211?\nAnswer: 1113214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909100102 to the power of 1\/2, to the nearest integer?\nAnswer: 43693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50966, -50817, -50572, -50237, -49818, -49321?\n\"Answer: -n**3 + 54*n**2 - 6*n - 51013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02873612 to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/7 + 8*s + 116\/7 = 0.\nAnswer: -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -19*g**4\/24 - g**3\/6 + 8*g**2 - 19*g. Let a(d) be the first derivative of z(d). Let n be 3\/2*(-2)\/3. Determine a(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 divided by -350?\nAnswer: 111\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + 520\/(-50) + 207\/5. Let c = 39 - 74. Let o = c + d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(9\/(-3))\/9. Let c be i\/(-4) + (-50)\/3. Let l = c - -47\/3. What is the second smallest value in l, -3\/4, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -608*v + 21. Let w(j) = -60802*j + 2107. Let r(b) = 301*g(b) - 3*w(b). Let y(z) = 5*z. What is y(r(l))?\nAnswer: -3010*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Suppose 4 = -u*b + 184. What are the prime factors of (-3)\/(b\/12) - 988\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0*p - 4*w = 8, 0 = p - 23*w + 4 - 96 + 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1785\/(-238) + 2 + 2\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 - 79 - 79 - 3*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 3:32 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8975 is divided by 1282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*b - 15*b + 14*b)*(b - 3*b + 0*b) + (0 + 0 + 1)*(0*b + b**2 + 0*b).\nAnswer: -123*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*32.208582.\nAnswer: 9.6625746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 90*q + 360. Let d be g(-4). Solve -m - 2*y + 8 = d, 3*m - 18 = 2*m - 4*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -26. Is 102 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069705 is divided by 452?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -1062, -2942, -6586, -12582, -21518, -33982, -50562?\nAnswer: -71846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 t when four letters picked without replacement from ttttccctttt.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49e96 - 88?\nAnswer: 49e0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/6 - 5*n + 45. Let d(f) = 1016*f. Calculate y(d(z)).\nAnswer: 2064512*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(8\/3)*m*m*(m**(-9\/2)\/m)\/m)\/(m**3)**(-36) assuming m is positive.\nAnswer: m**(637\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 - 130. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 638973683 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 4 + (0 + 1 - 2)*(-5 + 5 + 5))*(1 - v - 1) + 5*v - 6 + 6 to the form o + y*v and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnfb when four letters picked without replacement from {b: 2, n: 12, f: 5}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 34650810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -17 (c) 2\/3 (d) 3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -13*i - 5. Let c be p(-5). Suppose -4*v = 16 - c. What is the remainder when v is divided by -1*(2 + -1) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1851*n**4 + 389*n**3 - 612074*n wrt n.\nAnswer: -22212*n**2 + 2334*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwnxwwww. What is prob of sequence nwt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -389286 + 389288. Suppose -6\/7*r**f + 0 + 0*r - 4\/7*r**3 + 2\/7*r**4 = 0. Calculate r.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s + 11. Let y be -7*(-1 - (-39)\/21). Does 18 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*u - 72*u - 219*u + 35235 = -33*u for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17 - 17 + 4*o**2 - 3*o**2. Let g(j) = 5*j**2. Calculate i(g(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8211812773\/558580638 - 257945\/18942. Let f = -2\/797 + p. Find the common denominator of f and -47\/4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2012, 4022, 6028, 8030, 10028, 12022?\n\"Answer: -2*j**2 + 2016*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*s - 0*s. Suppose 2*n + 0*u + s*u - 10 = 0, 6 = -3*n + 3*u. Factor n + 1\/4*j - 1\/4*j**2.\nAnswer: -j*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54946125*n**3 + 45385432950*n**2 + 54763780*n + 16520 = 0. What is n?\nAnswer: -2\/3315, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801803220 to the power of 1\/3, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. What is the nearest to 1 in -13, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(847) + 0)**2.\nAnswer: -66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 94. Let c be (51\/3)\/(b - -1). Which is smaller: -16 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 130\/(-4). Let r be ((-2)\/(-8))\/(6\/f). Let w(y) = -y. Let x be w(4). Sort x, -0.2, r in decreasing order.\nAnswer: r, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u = -93*u - 112*u - 19 + 734 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 602 divide 108509633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1044028, -2088056, -3132082, -4176106, -5220128, -6264148, -7308166?\n\"Answer: h**2 - 1044031*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45811 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*o**3 - 2229*o**2 - 133*o + 21699080 wrt o.\nAnswer: -63*o**2 - 4458*o - 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v*x**3*z + 98*v*x*z**3 + 2*v*x*z**2 - 5*x**3*z**3 - 30*x**3*z wrt z.\nAnswer: 588*v*x - 30*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 10. Let n be g(-8). Put 1, n, 4, -5 in descending order.\nAnswer: 4, n, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/31 or -22.38?\nAnswer: -22.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 + 17*l - 16. Calculate x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 23848, -1, -2 in increasing order.\nAnswer: -2, -1, 23848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + d + 13 = 0, 0*d + 19 = l + 5*d. Let b(o) = -o**3 + 5*o**2 - 4*o. Let g be b(l). Suppose g = 2*s - 6*s + 1516. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 66459*v - 4 + 3*v**3 + 2*v**2.\nAnswer: 3*v**3 + 2*v**2 - 66459*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by 527.\nAnswer: 201\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 32*l + 20. Let u = 88 - 106. List the prime factors of b(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*k - 6, -5*b - 4*k - 8 = 0. Suppose 288 = -2*h + 296. Solve b = -h*l - 0*t - 5*t + 4, 2 = 2*l - 2*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101212 (base 3) to base 8.\nAnswer: -445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2625032 - 4522161 - 6890300 = -9*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*n - 141*n - 5*q + 37 = 0, 4*n + 4*q = 32 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297262 is divided by 5038.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.5 and 42.\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2 + 2)*(0*s + 4*s - 6*s) + 5 - 5*s**2 - 5 + 4*s + s**2 - 4*s.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-3))\/(2\/3). Suppose 7*k + 0 - 14 = 0. Suppose 5*y = 7*n - 4*n - k, -3*n + 22 = j*y. What is the remainder when 3 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 28 = -3*v, 0 = 6*l - l + v - 26. Suppose -3*b + l*b = 40. Suppose -2*y = -6*y - b. Sort y, 3, 1.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9 = -c, -6*c + 5*m = -5*c - 10. Suppose 0 = -s - l, -s - 2*l = -c*s - 6. Put 3, 2, s, -5 in decreasing order.\nAnswer: 3, 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 47. Let s(q) = 2*q - 23. Let t(o) = -7*s(o) - 4*w(o). Let l be t(-9). Let j(g) = g**2 + 9*g - 8. Determine j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/25581 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11110010000100000 (base 2) to base 11\nAnswer: 8512a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 + -15 - (0 + 2). Suppose -r*p - 72 = 135. Let n = 74 + p. Solve n*i + 13 - 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74795, -299245, -673357, -1197131, -1870567?\nAnswer: -2693665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -41252\nAnswer: -5\/20626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220020012210 - 1?\nAnswer: 2220020012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4)\/(13\/(-52))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(102) + (sqrt(102) - -2*(-2*sqrt(102) + sqrt(102)))))\/((sqrt(6) - (sqrt(54)*-2 - sqrt(54))) + (sqrt(6) + (sqrt(6) - -1*sqrt(600)) - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yya when three letters picked without replacement from {a: 3, y: 13}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 2*u + 370 = 0, -u + 5 = 0. Suppose -4*m + 94 = -3*p - 644, 0 = 2*m + 4*p - k. Suppose q = 3*l - 628, l - 3*q - m = 10. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1360\/70 - (315\/49 - 6). Solve 0 = 10*t - 31 - d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933484 is divided by 103703.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1 - 0) + (19 - 20). Suppose 2*y + v*y + 5*u = 153, 2*u = -y + 76. Find the second derivative of 19*m**4 + 2*m**3 + 63*m - y*m - 2*m**3 wrt m.\nAnswer: 228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(243)*-2 - 6*(sqrt(192) + (-1 + sqrt(192))**2 + sqrt(192))) + 5 + (-4*sqrt(30)*-2)\/(-2*sqrt(640)).\nAnswer: -1158 - 37*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86689349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -317\/237 + 1\/237. Let a = 55 + -63. Let q(z) = -3*z + 5. Let u be q(0). Put u, a, 1, k in increasing order.\nAnswer: a, k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 323 * 59.69.\nAnswer: 19279.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/479, -64\/13, -2\/21, 1 in decreasing order.\nAnswer: 1, 2\/479, -2\/21, -64\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*t + 27*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = 0, -b + 9 = -5*x + x. Let q = 3 + b. Let a be q\/(-2) - (2 + -13). What is the greatest common divisor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/30 + 3*d**4\/2 + 13*d**3\/2 - 335*d**2. Differentiate w(m) with respect to m.\nAnswer: -4*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. What is the second derivative of -y + 8*y - 2*y + s*y**5 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 33, -2\/21, -0.1, -0.0332?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**7\/7 + 16*y**5\/5 - y**3 + 63. What is the third derivative of c(b) wrt b?\nAnswer: -120*b**3 + 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11764.3 decades to months.\nAnswer: 1411716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.3 + -237.3. Let i = 206.47 + d. Let t = 0.53 + i. What is the biggest value in -3\/4, t, 3\/7, 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 115154*g**2. Let s(v) = 3*v. Calculate s(t(h)).\nAnswer: 345462*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9004*o - 1296497. Determine i(-144).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3741537.\nAnswer: -1\/1247179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 13*r = -437. Which is greater: r or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184126884.\nAnswer: 2, 3, 107, 143401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000715 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 10 = 0. Suppose 0 = -0*i + z*i - 1375. Suppose -3*d + i + 253 = 0. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03319 - -8.96681. Which is the nearest to 0.1? (a) j (b) -0.4 (c) -21 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/55*(-3)\/9.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.17 and -227813913945?\nAnswer: 227813913945.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, x: 5}. What is prob of sequence xxx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:07 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 342556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037163725 to the power of 1\/2, to the nearest integer?\nAnswer: 45135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -i + 3, -3*i + h - 5*h = 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-206)\/(-21))\/2 - (0 + (-35)\/(-7)). What is the biggest value in z, 4, 3\/4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z + 7. Let m be s(-5). Let i be 25\/1 - (-1 + m). Suppose 51 = -3*f - i. What is f rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428927 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -5, 18297?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3799635 is divided by 847?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3771, 3, -95, 2 in descending order.\nAnswer: 3771, 3, 2, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 7*w + 2. Let k be 196\/(-8) + (-2)\/(-4). Let v = k + 18. Give q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -5*u**3\/3 + 585*u**2 + 1175*u + 2445. Let f(q) = 0. Calculate q.\nAnswer: -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3825, -7675, -11527, -15381, -19237?\nAnswer: -23095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) -5 (c) -67\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067366 is divided by 6671.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 252709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 539*m - 815.\nAnswer: 539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12738438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10 - 12\/150*10. Solve -2*a = m + 2*m - 6, a + m - 1 = g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/7 + 1052*s**3\/7 - 2936*s**2\/7 - 46384892*s\/7 - 111813318 = 0.\nAnswer: -349, -17, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*a**4 - 3*a**2 - 74*a - 77*a + a**2 + 149*a in the form j*a**4 + z*a + c + q*a**3 + v*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 12. Let x be z\/4 - 7\/(-14). What is the third derivative of 2*a**5 + 0*a**x + a**2 + a**2 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2861386597?\nAnswer: 41, 61, 163, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2471, 3, 4 in ascending order.\nAnswer: -1, 3, 4, 2471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221\/2358 + -5\/131. Let t(q) be the second derivative of -v*q**4 + 0 - 1\/3*q**2 + 2\/9*q**3 - q. Factor t(a).\nAnswer: -2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 6 - (-7 - (-22 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 238, 1605 in decreasing order.\nAnswer: 1605, 238, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guamrcc. Give prob of sequence au.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90758394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*p, -5*l - 2*p - 18 = -3*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7*i + 225 = -2*i, 450 = 2*w + 2*i. Let t = 370 - w. Suppose -4*p = -4*s + s - t, -5*p - 3*s = -161. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.3. Let k = 296\/715 - 2\/143. Let t = -802\/93 - -257\/31. What is the closest to k in t, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 28 = -4*w, 4*w + 35 = -w + 2*y. Let l(x) = -11*x + 3. Let h be l(w). Calculate the greatest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -5*n**3\/6 + 7*n**2 - 2*n. Is 22 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429567 is divided by 1868?\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125740.8773 - -0.3648.\nAnswer: 125741.2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*w = -13 - 7, 2*w = -4*h - 8. Suppose 0 = -5*l + 10 - h. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 5 + 3 + (-2 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqqq when four letters picked without replacement from qqsqqnssuqqnssnssn.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = w - 12, 5*w - 92692 = -a - 92704 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -149 (c) 0.7795\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 10:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2845 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1343894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02964506 rounded to four dps?\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3*(-23 - -3). Suppose 5*i + 4*y + h - 62 = 0, -3*i + 5*y = -40. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -367425041?\nAnswer: -367425034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 6. Let n(x) = -x**2 + x - 6. Let p be n(0). Let l be s(p). Suppose -3*r = 4*t - l*r - 38, -6 = 3*r. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 1 + 1 + 2*m**3 - 3*m**3 + 0*m**3 + (2*m**2 + 3*m - 3*m)*(2*m - m + m) + 26 - m**3 - 26 + 26 - 26 - 71*m**3.\nAnswer: -70*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33136354 (base 7) to base 5.\nAnswer: 1212143310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:56 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60333, 60334, 60335, 60336, 60337?\n\"Answer: v + 60332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/6*(-1)\/(140\/441) and -25\/268.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 54824*h - 4. Let d be c(-3). Is d\/(-104) + 3\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4176 and 336?\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 25*g. Let q(r) = -2*r - 2. Let v(j) = -198*j - 220. Let d(f) = 110*q(f) - v(f). Determine a(d(p)).\nAnswer: -550*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(187)\/sqrt(176))**2 + 4 + (sqrt(1088) - 2*sqrt(1088)) + ((1*sqrt(17) - sqrt(17)) + -3)**2 + 4.\nAnswer: -19*sqrt(17)\/2 + 401\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 4.45. Let j = x + -4. Let h = 5 - 14\/3. What is the nearest to h in j, -0.5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006797 is divided by 5009?\nAnswer: 4997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (99\/(-44) - 2\/(-1))*1. Let r = 0.48 + 22.52. Let m = r - 32. What is the second biggest value in 2, m, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 102*i + 6. Let x be y(51). Solve -43*j + x = -46*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 6*w - 2*w - 17, -2*f = 3*w - 24. Let o = f - -46. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + -24.42. Let z = -23.99999989 - i. What is z rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2\/13, -3, -366\/163, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*a**2*k**2 + 6*a**2*k*l - 117*a**2*k + 4*a*k**2*l + 6*k**2*l + 3*k*l + 2*k wrt k.\nAnswer: -52*a**2 + 8*a*l + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2. Let w(d) = 2*d + d - 5*d - 3*d. Determine w(b(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32800145 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 4:37 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8144 and -21\/16.\nAnswer: 8144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/46 and 101\/206?\nAnswer: 4738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52435 is divided by 173?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232343, -232343, -232341, -232337?\nAnswer: -232331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/26 + (-369)\/(-117). Suppose 0 = -q*y - 0*y + 150. Calculate the remainder when y is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p**2 + 108*p - 1523. Calculate z(15).\nAnswer: -4403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7328, 14659, 21990, 29321?\n\"Answer: 7331*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 2*t + 1. Let j be h(3). Let d = -1 + j. Is 5 a factor of -10*(d\/2 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 11*a**2 + 9*a - 11. Let l be k(-12). Let r be (-424)\/20 + 5\/l. Let m be -4 + (-2)\/9 + r\/27. Let y(s) = s + 3. Determine y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -47\/8*s**3 - 5\/8*s**5 - 157\/8*s**4 + 125\/2*s + 481\/8*s**2 + 31\/2 = 0.\nAnswer: -31, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6718, -6729, -6740, -6751?\n\"Answer: -11*z - 6707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4963*j**3 - 1780*j**3 - 1639*j**3 - 1667*j**3.\nAnswer: -123*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 1, c: 2, o: 1}. What is prob of sequence or?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40910785?\nAnswer: 5, 8182157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182083 - -182153. What is the remainder when (-6)\/4*(-2082)\/9 is divided by i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + -5.3. Let u = 4.8 - 2.8. Sort -5, u, 0.4, p in ascending order.\nAnswer: -5, p, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 22 + 38. Solve -s*l - 8 = 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - (sqrt(130) + -1*sqrt(130))))*2)\/sqrt(10) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*d - d + 14 = 0, d - 8 = 4*j. Let s(q) = 5*q. Let r be s(-1). Does 19 divide 109\/j*(4 + r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7415054 - 703?\nAnswer: -7415757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11098, 15560, 20018, 24472?\nAnswer: 28922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*p + 35 = 0, -44 + 7 = -5*z + 4*p. Suppose -2*n + 1978 = z*o, 0 = -5*o - 10 - 10. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(-46 - 27 - 30) + 2 + 0 - 1)*(5*k + 64 - 64).\nAnswer: -1025*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 8. Let f be h(-6). Let n = -24 + 46. What is the remainder when 856\/10 + f\/10 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225409654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 24344918*y**2 + 74084391225798*y + 74084366880882.\nAnswer: 2*(y + 1)*(y + 6086229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*z - 10 = c, -4*z + 14 = 3*c. Suppose -3*g = c*g - 330. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22745831.603052 - 22746078. Let f = g + 246.46. Let z = -0.063 + f. Round z to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*f + 413 - 2381 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.3 - -10. Let i = -3.13152 + 0.13152. Let r = 0.1 + 0.1. Which is the closest to -1? (a) w (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:31 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (sqrt(425) + (sqrt(425) - (-2*sqrt(425) + 3)))) + 5 + sqrt(425)*-2)**2 - (-1 + sqrt(68) + 0 + (sqrt(68) - (2 + -1 + sqrt(68))))**2.\nAnswer: -392*sqrt(17) + 10617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/135 - 2*q**4\/9 + 8*q**3\/3 + 7*q**2 + 9*q. Let m(t) be the first derivative of l(t). Let m(j) = 0. Calculate j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129188031?\nAnswer: 3, 7, 6151811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1679, -1676, -1673?\n\"Answer: 3*u - 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, 0.5, -2\/3 in descending order.\nAnswer: 0.5, 4\/15, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33180*-10.\nAnswer: 331800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 8979*j + 2275740 = 0 for j.\nAnswer: -3228, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*v*x**3*y - 25*v*x*y - 21*x**4*y - 13*x**2*y + x - 7*y + 26 wrt x.\nAnswer: 132*v*x*y - 252*x**2*y - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 12*h = -42, -3*s + 57*h - 10 = 58*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4188*g**5 + 2*g**4 - 2754*g wrt g?\nAnswer: -83760*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from vccammmcammraaama.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*y + 216. Let m = y - -36. Let v(h) = -h**2 - 6*h - 2. Let f be v(-5). Solve f*t = 5*x - 2, -x - 2 - 1 = -m*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**14)**48\/((w*w**6)\/(w*(w**(8\/9)\/w)\/w*w)) assuming w is positive.\nAnswer: w**(-5671\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 26. Give c(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2)*(70\/(-56) + 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.1885 rounded to 0 dps?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**5 + 5*k**4 + 33*k**2 + 9*k + 26. Let m(h) = 2*h**4 + 16*h**2 + 4*h + 13. Let u(n) = 5*m(n) - 2*s(n). What is the second derivative of u(l) wrt l?\nAnswer: -40*l**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22801*i + 34775 wrt i?\nAnswer: 22801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 7*h**2 + 3*h**2 + (h - h + 4*h)*(3 - 3 + h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768804 divided by 13.\nAnswer: 768804\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 8 = 1. Let r be (3980\/30)\/(t - 46\/42). Let j = r + 1982. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 5*r = -5*c + 25, -2*r = -5*c - 16. Let y(n) = -n**2 - 5*n + 9. Let m be y(-7). Sort m, -1, 5, c in ascending order.\nAnswer: m, c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 11413?\nAnswer: -11411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1710 = -0*k - 18*k. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - ((-42)\/2)\/(144 - 143).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*t = 1184, -6*m + 5*t + 228 = -5*m. Let r = 102 - m. Put r, -2, -4 in increasing order.\nAnswer: r, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(90))\/((-3*sqrt(10))\/sqrt(5)) + ((-1*sqrt(1375))\/(-2*sqrt(1331) - sqrt(11)) + 2)**2.\nAnswer: 43*sqrt(5)\/23 + 2241\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from przpzrzrzzvzrvp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649584 is divided by 1532?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -37872?\nAnswer: 37867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.15 (b) -42 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.479729167 to 3 dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -7. Let q = 0.23 - -3.77. Let o = -6 + q. Put -1\/3, o, c in descending order.\nAnswer: c, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -77\/4*u + 249\/2 - 1\/4*u**2 = 0?\nAnswer: -83, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1357515*n**3 + 779470 wrt n.\nAnswer: 4072545*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81750.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 + 3*r - 7. Let a be q(-5). Suppose y - 1 - a = 0. Solve c + 0 = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3269 - 3268. Sort 5, -6, -3, v, -4.\nAnswer: -6, -4, -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 1, v: 2, b: 6, i: 1}. Give prob of sequence by.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 3*d - 5. Let r be p(-3). Let f = 132 - r. Let v = f - 7. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 8*w + 5. Let i = 58 - 38. Let k be (i\/6)\/(4\/(-6)). Is r(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 + o. Let q be m(0). Suppose -2*r + 0*b - 3*b = -16, -r + b - 2 = 0. Solve -x + q = r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 12*a**2 - a + 14. Let q be s(12). Suppose -3*r + 7*r - 136 = 2*y, -3*r + q*y + 104 = 0. What is the remainder when 127 is divided by r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + 140\/12. Does 11 divide (-2)\/(-3) - (-256)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12)*621\/(-168) + 150\/(-30)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*d = -292, -2*d + 5*d + 171 = 3*n. Suppose -7*c - n = 40. Calculate the common denominator of 45\/(-42) + (-7)\/c and -49\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83\/71? (a) -2 (b) -1.1 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 6 + 6)*(101 + 270 - 110)*(1 + 3*n - 1) to the form g*n**2 + c + o*n and give g.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385945131.\nAnswer: 3, 11, 13, 69203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 25. Let y(x) = -8*x. What are the prime factors of y(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-52) + 37\/(-13) + 7. Suppose -2*j - 2*r = j - 28, o*j + 1 = 5*r. Is 8 a factor of j*50\/90*(-1 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 10 = -12*n - 4*o, 0 = -2*n - 5*o - 2. Does 20 divide -2 - n - 276\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-47 + -35 + 73).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 2*x**2 - x - 1. Let l(u) = -5116*u**3 - 30*u**2 + 209*u + 16. Let j(d) = 16*a(d) + l(d). Find the third derivative of j(y) wrt y.\nAnswer: -30504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 81*t - 114*t + 10*t**2 - 67*t + 110. Let v(i) = i**2 - 11*i + 12. Let w(d) = 6*p(d) - 55*v(d). Factor w(c).\nAnswer: 5*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 take away 0?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 202*h**3 - h**2 + 3*h + 2. Let u be b(-1). What is the units digit of (u\/9)\/(11\/(-198))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*t = 358, 2*t + 417 = -4*u + 71. Let a be 180*(u\/(-12) + -4). Suppose a = k + 4*k. What is the greatest common divisor of 48 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 + 1 + g**3 - g + 5*g**2 + 2*g**2. Let x be a(-4). Suppose -4*z + 2*i = -i - 41, 0 = -i + x. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 77*m + 443808 - 2922104 = 0. What are the prime factors of m?\nAnswer: 2, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxcc. What is prob of sequence xb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.415992426 to 3 decimal places.\nAnswer: 0.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -9. Let u = z + -15. What is the nearest to -4\/7 in u, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4029080?\nAnswer: 2, 5, 11, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 92, 103, 114, 125?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 94048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 23*n**2 - 25*n + 23. Let p be w(-24). Let j(q) = -8*q - 6. Let t be j(-6). Suppose -b = t - p. Which is greater: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 10)\/(2\/(-2)). Let a be (9\/(-5) + 1)*(u + -12). Suppose -a*w - 3*t - 2*t = 28, 4*w + 12 = -t. Sort -4, 9, 0, w.\nAnswer: -4, w, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2420, 5066, 7712, 10358, 13004, 15650?\n\"Answer: 2646*g - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 + 5*h**2 - 45*h - 405. What is a(-8)?\nAnswer: -2285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -340, 4, 2, 5, -17, 1 in increasing order.\nAnswer: -340, -17, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819031 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 f(v) be the first derivative of 3\/2*v**2 + 1 - 1\/12*v**4 + v**3 + 3*v. Let g(x) be the first derivative of f(x). What is g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a92 (base 12) to base 13.\nAnswer: -34c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3132 = -5*r. Let u be (r\/(-36))\/(1\/(-20)). Let v be 280\/((-429)\/u - 1). Round v to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -846.7 times -712\nAnswer: 602850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -274803 - 56968\nAnswer: -331771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/24*((-101)\/21 + 5). Which is smaller: i or 282?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*i + 26*i + 54 + 17*i - 60*i in the form w*i + g and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145.34 + -145.340007297. What is h rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 + -4988?\nAnswer: -4989.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 - 1002010222110?\nAnswer: -1002010221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*q + 5 = 0, l - 8 = -2*q - 3*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474 and 4041.\nAnswer: 638478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/((-45)\/(-10090)). Let f = j - -222. Calculate the common denominator of 5\/4 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k + 269. Let l be b(-14). Solve -7 - l = 10*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five halves of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2498 - -4.2\nAnswer: -2493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 5*b**2 + 2*b**2 + (17*b**2 + 3*b**2 - 6*b**2)*(-1 + 4 - 2) + (-5*b + b - 3*b)*(17*b - 6*b - 6*b) in the form o + w*b + q*b**2 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/8 - (-30)\/(-40). Let d = 3.1 + -3. Let i be (-2)\/2*-7 - 26\/(-1690)*-494. Sort v, d, -3, i in descending order.\nAnswer: d, i, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -b?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 729506 divided by 2\nAnswer: 364753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10511 (base 6) to base 15.\nAnswer: 68d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183103733 to 6 decimal places.\nAnswer: -0.01831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 5*l + 4*l + 5*l**2 + 8*l - 2*l.\nAnswer: -2*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 177*b - 1885. Let r be y(-45). Solve c + 4*f = -23, 17*f - 14*f = c - r for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -340 - -340. Put 3, 11, 1, s in decreasing order.\nAnswer: 11, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -24330?\nAnswer: -24330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 44 = 3*t. Solve -5*v = -0*m + 2*m + t, -2*m - 8 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 6. Let k(t) = t**3 + t**2 - 3*t + 3. Let b be (-4)\/(1 + 3) + -2. Let s be k(b). Let x(r) = 6*r + 11. Give s*x(j) + 11*q(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642*f + 38273 - 585197 = 621*f. List the prime factors of f.\nAnswer: 2, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*a - 1240*a + 2400*a.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539 and 3510703?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102537.\nAnswer: 3, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -2.2.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3856071.\nAnswer: 3, 643, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 13217*x + 13218.\nAnswer: -(x - 13218)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40871 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.252 (b) -1\/363 (c) 0.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 7:00 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -122872 (c) -2\/17 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 125\/2. Let l = 4 + -2. What is the smallest value in l, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -80, -72, -62, -50, -36, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:48 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.30969 milligrams in grams?\nAnswer: 0.01830969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - r**4 + r**4)*(-2*r + 0*r + 0*r) + 4*r**5 - 7*r**5 + r**5 - 3*r**2.\nAnswer: -4*r**5 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -9 - ((10 - 6) + -17) - 11) + -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 159, -5\/7, -5 in decreasing order.\nAnswer: 159, -0.5, -5\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/3)*w**(-8)*(w**(-1))**21)**(-36) assuming w is positive.\nAnswer: w**984","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 30. Let r be i(0). Let v = -18 + r. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 9*i - i - 432*p = 435, -2*i + p + 7 = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1 - s**2 + s + 0*s - 2*s. Suppose 0 = 4*z + z. Let h(f) = f**2 - 1. Let d be h(z). What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)\/f)\/f)**14*((f\/f**(-5))\/f)\/f*f**(-2\/13) assuming f is positive.\nAnswer: f**(-2116\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 3 - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152291\/6674 - 1045\/47. Calculate the common denominator of 49\/20 and r.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2046\/(-55))\/(6\/(-3)) + (-2)\/(-5). Solve -o*q + 5*v + 17 = -15*q, -1 = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 20720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18199197697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.845, 13, 4, -8\/13, -3\/5, -2 in increasing order.\nAnswer: -2, -0.845, -8\/13, -3\/5, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 15 = i, 5*u - 5*i - 25 = 0. Let d = u - -2. What is the second derivative of d*s + 2*s + 7*s**4 - 7*s - 3*s**4 wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b**2 - 6*b**2 + 4*b**2. Let a(t) be the second derivative of t**5\/30 - 5*t**3\/6 + 4*t. Let c(s) be the second derivative of a(s). Give c(f(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-342)\/(-399) - 36\/(-56)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*n + 62*n + 2*n**4 - 116*n wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 110*v - 4. Let z(r) be the second derivative of -7*r**3\/6 - 227*r. What is l(z(s))?\nAnswer: -770*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 29*g + 88. Let u(f) = f**2 + 15*f + 45. Let d(o) = 4*i(o) - 9*u(o). Does 5 divide d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:30 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 + 3204*j**4 + 252316*j**3 + 245912*j**2 - 252318*j - 249116 = 0.\nAnswer: -1519, -82, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2247 divided by -107?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:26 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*q - 9 - 9 = 0, 2*m - 3*q + 8 = 0. Let s = m + 0. Find the third derivative of -3*d**6 - d**6 - 2*d - 3*d**s + 2*d wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-6*f + 2*f + 2*f)*(18 - 18 - 15*f).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346429349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-3 - -4)*(-4)\/18. What is the closest to l in -0.2, 3\/5, 1.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -6, -27, -78, -171, -318, -531?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62024, 62018, 62012, 62006, 62000?\n\"Answer: -6*d + 62030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*g**2 + 353*g**2 - 178*g**2 + 85*g + 179*g as f*g + v + x*g**2 and give f.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1163.8 + -1164. Sort 5.1, 0.1, -4, z.\nAnswer: -4, z, 0.1, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329 less than or equal to -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 1)*(-3 + 3 - 1) + 10 - 2 - 3)*(0*g**3 - g**3 + 2*g**3) to the form w*g**3 + m + q*g**2 + p*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5*d**2 - 6*d**2 - 3 as g + s*d**2 + w*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - -115. Suppose 2*b + 55 = 5*v + 72, -2*b = 5*v - 67. What is the remainder when s is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(6\/2)*245\/(-105).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -130. Factor 23 - y*z - 17 + 28*z**2 + 26 - 4*z**3.\nAnswer: -4*(z - 4)*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005376252 to seven decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*y - 1816 = 0, -5*t = -3*y - y - 4549. Calculate the common denominator of (-3)\/(-9)*t\/(-12) and 43\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18927*n**3 + 11*n**2 - 3*n + 16. Let l be x(-10). Let a = -33328146 + l. Round a to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/(-8)*(1152\/12)\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**4 + 0*a**3 - 1 + 4*a**4 - 2*a**3 to h*a**3 + y + t*a + d*a**4 + k*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3*n**2\/2 + 5. Let l(f) = -2*f. What is b(l(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(1*((-85)\/120)\/17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3738 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-250)\/(-5)))\/((-4)\/30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312902 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 8) in base 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = 4*u. Suppose -3*m - 6 = -0*m. Let h be 13\/3 + m\/6. What is the nearest to 1 in -0.2, u, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -21*s - 8. Let z be f(-8). Suppose 3*g = g + z. Calculate the greatest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103968 divided by 171\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1302 and 2480?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 + 115*m**2 - 55*m + 111. Let v be a(-58). Sort v, -2, -3 in increasing order.\nAnswer: v, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*t - 13*t - 3196 = -20*t. Solve 13*x - 112 = -t for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 6*n + 72 = 0. What is the smallest value in -0.02, -0.3, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 28*p = -15024. Let f = -1626 - p. List the prime factors of f\/(-30) + 2\/(-3) + -3.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**2. Let k(c) be the second derivative of 2*c**3\/3 - 2*c. Give k(r(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -11 in ascending order.\nAnswer: -11, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*s**3 - 51*s**2 - 54*s**3 + 45*s**2 + 2 + 30*s**2 - s to the form k*s + p + b*s**3 + r*s**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-4)\/(-60)*-5). What is the third derivative of -71*x**2 - 2*x**3 + 13*x**z - 46*x**3 - x**4 + x + 4*x**4 wrt x?\nAnswer: 72*x - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3156429.\nAnswer: 3, 113, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3839 is divided by 765.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40598, -40607, -40620, -40637?\n\"Answer: -2*z**2 - 3*z - 40593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 6*c**5\/7 - 104402*c**4\/7 + 64897026*c**3 - 1059486006*c**2\/7 + 302690404*c\/7 = 0.\nAnswer: 0, 1\/3, 2, 8699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.85 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (2 + (4 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 1, r: 1, n: 1, i: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 19*s = -266 + 3, 2*s - 4*s + 26 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlllllklzklzlzkkzllz. Give prob of sequence zzzk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(425) + 0)**2.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -48, -56, -64, -72?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -23, 0, 3, 66, 76 in descending order.\nAnswer: 76, 66, 4, 3, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 263 - 2*a**2 + 37 - 68 + 2*a**3 + 261 as n + w*a + f*a**3 + p*a**2 and give n.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10754311081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/18 + (-267)\/9. Let z = h - -74. What is the greatest common divisor of z and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 + 6?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + -1456?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725.305 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3 + 973860*y**2 + 2921587*y + 1947726 = 0.\nAnswer: -2, -1, 973863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Which is the closest to -0.1? (a) f (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -218. Let u = k - 83. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6976.17 minus -12406873?\nAnswer: 12399896.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -93, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-36) + (-2)\/4. Suppose -4 - 7 = -n + 2*h, -5*n + 5*h + 65 = 0. Let u be 35\/n - (-1 - -3). Put -0.2, u, z in increasing order.\nAnswer: -0.2, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43155*b**3 - 29324*b**2 - 43184*b**3 + 29324*b**2.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16412412, 16412320, 16412228, 16412136?\n\"Answer: -92*p + 16412504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 3*b + 1. Let a(x) = -x**2 - 2*x - 1. Let n(u) = u**2 - 25*u - 20. Let r be n(26). Suppose -15*m + r = -17*m. What is m*j(t) - 4*a(t)?\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x**4*x)\/x)\/x)\/(x\/x**(-6))*(x**0)**31 assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let c(r) = -3*r + 3. Let n(u) = u**2 - 7*u + 8. Let i be n(5). Let f be i + 1\/(-1 + 2). Determine f*j(d) - c(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232 + 1303324001?\nAnswer: 1303323325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -4 (c) -4\/17 (d) 21 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 4*z**4 - z**4)*(-3 + 19*z - 34*z + 1).\nAnswer: -15*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52816173 - 1?\nAnswer: -52816174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30334 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19429 - 11481. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (633\/(-12))\/((-42)\/8 - -5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 - 7*c + 4*c - 2. Let p be r(-3). What are the prime factors of 110\/8 + 2\/p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w - 5. Let z(t) = -20*t**2 + 4*t + 24. Give 5*n(f) + z(f).\nAnswer: -25*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -2 (b) -924 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 14*l - 1815 = 150*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104154 (base 6) in base 3?\nAnswer: 102221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/363 - -36703\/3630. Find the common denominator of -61\/69 and p.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(1*(-3)\/36*8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -19*j**5\/3 + 21*j**4\/8 - 299*j**2. Find the second derivative of s(b) wrt b.\nAnswer: -760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/((-160)\/(-3365528028))*(-24)\/(-9). Suppose -111478662 = -20*l + y. What is l rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91261*k + 353686*k + 137856*k.\nAnswer: 400281*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 6016*t**2 - 25822720*t - 24086937600.\nAnswer: (t - 15552)*(t + 1760)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 6072*o + 159224.\nAnswer: -2*(o - 3062)*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7229 and 3?\nAnswer: 2.1687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(27)\/sqrt(3))\/sqrt(3) - (sqrt(180)\/sqrt(5))\/sqrt(12)) + -5)*3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/270 and -7\/17063370.\nAnswer: 51190110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 413. Let s = -226 + i. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 11096*h + 22176.\nAnswer: 4*(h - 2772)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 10 (c) -185 (d) 2\/9 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 11*y**2 - 10*y + 21. List the prime factors of r(7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)*(b\/b**(-3\/5))\/b*b*b*b assuming b is positive.\nAnswer: b**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.2, -6, -0.4, 2\/15, -1\/7, -1166\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9051, 9032, 9013, 8994?\nAnswer: 8975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1492 - 1423. What is the remainder when j is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15802329*p**5 + 20*p**2 + 8934*p?\nAnswer: 948139740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = 5*c. Let v = -0.03 + -13.97. Let i = 15 + v. Put c, i, -2\/3 in decreasing order.\nAnswer: i, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1396163, 1396159, 1396157, 1396157, 1396159, 1396163, 1396169?\n\"Answer: z**2 - 7*z + 1396169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 1\/38*f**4 - 12\/19*f - 8\/57*f**3 - 11\/19*f**2 - 40. Factor i(k).\nAnswer: 2*(k - 6)*(k + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 11 (c) 0.02 (d) 1\/5 (e) -32 (f) -4 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a - 278 = -410. Let o(v) be the first derivative of 0*v + 0*v**a + 26\/5*v**5 - 30 - 5\/3*v**3 + 0*v**2. What is the third derivative of o(q) wrt q?\nAnswer: 624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105385 < -105382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 - 29103*c**4 - 9*c + 7*c + 29102*c**4 + 2*c**3 in the form v*c**2 + j*c**3 + p*c + q*c**4 + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62688 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.803 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2104 and 7\/52.\nAnswer: 27352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1050 and 1344.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*w + 5*o, -4*w - 130 = -9*w - o. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -15. Let s(l) = -4*l**2 - l + 3. Let i(d) = d**2 - d + 1. Let h(c) = 3*i(c) + s(c). Calculate h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*t**2 - 92680503*g - 38616069*t**2 - 1 wrt t.\nAnswer: 2*g*t - 77232138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-2)\/400*-358. Let v = p + 4\/25. Find the common denominator of v and 1\/(1\/4) - (-2184)\/(-240).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x. Suppose 2*d + d = 15. Let r(g) = g**2 - 5*g. Give d*z(u) + 6*r(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-77))\/((-10)\/(-280))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 42 = r. Let k(t) = -7*t**2 + 3*t - 1. Let q(v) = v**2 - v. Give r*k(u) + 5*q(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*m + 31. Let s = -0.1 - -0.6. Which is the second smallest value? (a) s (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 33. Let n be i(-19). Suppose -n*q - 149 = 266. Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**2 - 5*d - 6. Let j be x(-6). Calculate the remainder when (-6)\/33 + j\/44 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335 by 5.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 276802 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 13}. What is prob of sequence duuu?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 18*i**2 + 210*i - 48. Let q be y(26). Let z(d) = -5*d**2 - 14*d + 3. Calculate z(q).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:17 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18631, -18559, -18501, -18463, -18451, -18471, -18529, -18631?\nAnswer: -18783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:52 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 11. Suppose 4*r = -r + 2*p + v, 2*p = -4*r + 4. Solve -3*y = -6*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -19*n - 13. Let h(u) = 14*u + 12. Let k(s) = 5*h(s) + 4*j(s). Let b be k(0). Solve 0 = 9*w + 19 + b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104952, 104941, 104944, 104967, 105016, 105097, 105216, 105379?\nAnswer: 105592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 167208294, 167208287, 167208280, 167208273, 167208266, 167208259?\n\"Answer: -7*y + 167208301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -302726 + -6?\nAnswer: -302734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(56\/(-196))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250306 is divided by 250236?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -4 (c) -0.26167 (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 103 = 2669. Calculate the remainder when (2 - 0)*o\/42 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 32 = -m, -5*m + 160 = r - 4*r. Let f be 4\/14 + 4\/(-14). Suppose 4*g = -f*g + m. Calculate the highest common factor of g and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006387023 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123 in -18.51, 0.01, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkklkclclmmllqlcc. Give prob of sequence mclm.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04625 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*z + 12, -2*a + 5*a - 16 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*x**3 - 377*x**3 - 2*x**4 + 188*x**3 - 10*x**2 - 7 to f*x**4 + h*x**3 + r + d*x**2 + n*x and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 130620 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 3*h)*(-5*h + 24*h - 12*h + (-2*h + h + 0*h)*(-1 + 2 + 1)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.4 + -0.6. Let p = -6.3 - y. Let g be 8\/6*3\/2. What is the third smallest value in -4, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 20*t - 82. Let n be f(-14). Which is the nearest to -0.11? (a) -4 (b) -3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21771 and 34399.\nAnswer: 18265869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-404.12\nAnswer: 12.1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 10*s**2 + 8. Calculate the remainder when 101 is divided by f(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 9936*d - 980931.\nAnswer: 3*(d - 98)*(d + 13346)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1964563, -1964630, -1964697?\nAnswer: -1964764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - v - 20 = 2, -3937*f + v + 32 = -3941*f - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6347903959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 30 = -2*f, 2974*f + 1004 = 2978*f + 128*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6103067109.\nAnswer: 3, 2034355703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 + 2*v**2. Let k(s) = 2*s + s - s. Give k(d(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 567?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222704843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265 and 5?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 38. Suppose 10*n - 24*n = -252. Calculate the smallest common multiple of n and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0)\/(7\/(-28)*12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39197.5699 - 38959.6. Let k = j + -238. What is k rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9413 (base 16) in base 3?\nAnswer: 1220222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.002061534.\nAnswer: 0.001030767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (21\/35*(-375)\/(-900))\/((-1)\/(-52))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -30\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -33*c**2\/2 - 11*c + 40. What is the remainder when v(-3) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -8 - 4. Let k be (1*(z - -5))\/1. Let i(w) = w. What is i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24395 is divided by 678?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -275. Let u = -128 - q. What is the greatest common divisor of 525 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*t**4 + 82*t**3 - 2*t + 23251 with respect to t.\nAnswer: -44*t**3 + 246*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93232576 rounded to the nearest 100000?\nAnswer: 93200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 1, t: 2, a: 3, f: 1, k: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r\/(r*r**(-4)))\/r)*r*r)**(31\/5)\/(r*(r\/(r\/(r\/(r**(-1\/6)*r))))\/r)**46 assuming r is positive.\nAnswer: r**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + b + 455 = 0, 0 = -4*z + b - 64 - 300. Let l = z - -153. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 1. Let o be u(-7). Let q = o + 39. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 - 4*i**4 - 8*i**3 + 8*i**2 + 40*i + 32.\nAnswer: -(i - 2)*(i + 2)**3*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 602 and 59899.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 13) in base 12?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-5) - 0 - (-84)\/350*5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019317564 to 4 dps.\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*y + 3*y. Let p = -20 - y. Suppose -a - p = -6*a. Solve 11 = 5*o + 4*r, 0*r - 7 = -a*o + r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 + 32 + -4 + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1450 and 1\/28150.\nAnswer: 816350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2022410415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1112110?\nAnswer: -1112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(2*w + 0*w - w)*(7393 - 13258 + 5527 - 14179 - 9160).\nAnswer: -47354*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(((-22)\/(-20))\/(-11)). Solve 4*q + 20 = 2*v, 4*v + 0*v + 2*q + c = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -305, -466, -633, -806?\n\"Answer: -3*d**2 - 152*d - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 72, 85, 102, 123, 148, 177?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:08 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/23*y**2 + 24\/23 - 16\/23*y = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522835387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756302 is divided by 117084.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p - 3. Let k(u) = 5*u + 4 - 6*u + 5*u. Suppose -5*v = -3*n + 12, 0 = -2*v - 0*n - 2*n + 24. Give v*k(m) + 4*r(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.94899874 - -0.94. Let i = s - -0.009. What is i rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 31?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. Suppose -7 + 1 = -u*l. Solve c + 2*c = 5*f + 25, -2*c = l*f - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -17\/10*x**5 + 1\/10*x**6 + 25*x + 6*x**2 + 253\/36*x**4 + 0 + 34\/3*x**3. Factor j(w).\nAnswer: (w - 6)**2*(3*w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + -47 - 42 - (-161 - 2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.9. Let t = -66.4 + 66. Put t, u, -1\/2 in descending order.\nAnswer: u, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 6*m - m = -30, 0 = 6*h - 1321*m + 1319*m - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 7, 4.\nAnswer: -7, -6, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = p + 7, 5*j = 3*p + 26. Let z(c) = -2*c**3 - 3*c**2 + 3*c - 2. Let h be z(j). Let k = h - 84. Round k to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -612, -925, -1242, -1563?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 6*q + 1. What is the smallest common multiple of g(-5) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = -2. Suppose -q - q = 0. Solve -2*u + x + 1 = q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 688.4.\nAnswer: 688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + 5\/2. Suppose v*l = 2*l + 3. Let a(u) = u**2 - u + 1. Let q(x) = 4*x**2 - 2*x + 1. What is l*a(p) - q(p)?\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**13)**29\/(p**20)**(-47))**(-2\/25) assuming p is positive.\nAnswer: p**(-2634\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - 11110001101?\nAnswer: -11101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-12) - (-30)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59785, -57, 5 in descending order.\nAnswer: 5, -57, -59785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:31 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a + 3*a + 21*a**3 - 19 + 19 wrt a.\nAnswer: 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (243\/189)\/((-5)\/70)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 1, q: 6, v: 3, j: 2}. What is prob of sequence vxvv?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125676753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3 - ((-96)\/6)\/4. Let k(q) be the first derivative of 0*q**5 - 3\/2*q**2 - l + 0*q**3 + 0*q - q**6 + 0*q**4. Find the second derivative of k(h) wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -16 + 47 - 11 - (-17 + 3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Which is the third smallest value? (a) d (b) -0.3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/5, -2\/9, 0.6, 28 in ascending order.\nAnswer: -2\/9, -0.2, 1\/5, 0.6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - b + 1 = 0, -b + 1 = -f - 2. Suppose f*k - 2*h = 46, -2*k + 3*h + 61 = -2*h. Calculate the remainder when 105 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 2, g: 1}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1014486 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 102060 divided by 2\nAnswer: 51030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**3 - 11*t**2 - 8*t - 3. Let k be ((-9)\/(-2) + -4)*(-42)\/(-7). Let m(x) = 3*x + 6 + 4*x**2 + 6 - k*x**3 + 0 - 11. What is -4*l(a) - 11*m(a)?\nAnswer: a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2271, 1979, 1687?\n\"Answer: -292*r + 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/13 + 98*y**2 - 15070*y\/13 + 43750\/13 = 0?\nAnswer: 5, 7, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:11 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-5 - -5 - 0). Solve 3*u + 0*u + 3*m + c = 0, 8 = -2*u - 4*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*q + 58 = 78, -f + 25 = -4*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*z - 45150 = -45016, -2*s + 44 = -4*z for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 0.1, -0.48, 5\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6 + 2. Let c = -11 + 1. Let z = -3 - c. Calculate the remainder when z is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from ihhivqqithpiqqi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -481417.7 rounded to the nearest one thousand?\nAnswer: -481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*y + 136 = -2*d, 0 = -y - 3. Let r = d - -108. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371686320 to the power of 1\/3, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/232)\/(88918\/(-4232) + 21) - -2?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -34*l**3 - 4*l**2 - 5*l + 5. Let u(r) = -34*r**3 - 3*r**2 - 4*r + 4. Let d(g) = -4*u(g) + 3*x(g). Let p be d(1). Let a = 52 - p. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445772.\nAnswer: 2, 111443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Sort -2, f, 3, -4 in ascending order.\nAnswer: -4, -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 14*p - 7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 12*s - 16. Suppose -5*q + s*q - 28 = 0. Suppose -15 = d + 13. Is d <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18605350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 >= 2201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + t = 14 - 1, -8 = -a - 2*t. Let c(x) = 23*x**2 + 2*x + 1. Let k be c(-1). What is the greatest common factor of k and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16023323 (base 7) in base 11?\nAnswer: 959658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 35*o - 3. Let z(m) = -m**3 - 5*m**2 - 5*m + 4. Let w be z(-4). Suppose -w*l + 5*l = -6. Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 21 + (-21 - -11) - 78 - -10?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 24*u + 1 + 24*u + (-37*u + 13*u + 253*u)*(0*u - u - u).\nAnswer: -461*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.802 times -1?\nAnswer: 0.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 216\/9 + -1 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1080 and 107\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -13) + (-2)\/2*-1. Suppose 0 = -2*o + 1 + 29. What is the remainder when (-2)\/j*(-164)\/2 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 12*q**2 + 5*q + 6. Calculate p(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m. Let k(q) = 5*q. Let z(v) = -13*k(v) - 6*l(v). Let i(b) = 3*b. Give z(i(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59698 and 14269.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 735649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5850? (a) -3 (b) -14\/5 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -31*f**3 - f**2 - 7*f + 64. Let s(p) = -15*p**3 - 3*p + 32. Let t(n) = 3*m(n) - 7*s(n). Find the first derivative of t(r) wrt r.\nAnswer: 36*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1504169*c - 134781 wrt c.\nAnswer: 1504169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.2 (c) 96 (d) -4 (e) 1 (f) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.00000007 + 28. Round z to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492158261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -46152 bigger than -46205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*t - 178 - 61, -3*t - f = -173. Suppose -1354 = -58*p + t*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13579 - b**2 - 9*b - 13579.\nAnswer: -b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150242 - 237242. Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*c**6 - 1454 + 1443 + 62*c**2 - 87*c**6 wrt c.\nAnswer: -28800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1 - (-2)\/(-4)). Let x = 9 - 8.7. Which is the third smallest value? (a) x (b) n (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2 - 3915*n - 46600. What is k(501)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 0*b**4 + 2*b**4 + (3*b - 3*b - b**2)*(4 - 4 + b**2) + (-2*b**2 - 2*b**2 + 3*b**2)*(-b**2 - 2*b**2 + 5*b**2).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1045 - -1046. Let q(t) be the first derivative of -1\/3*t**2 - 2\/9*t**3 - w + 0*t. Let q(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18153723 is divided by 2097?\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -420 - -416.1. Let l = z - -3.7. Sort l, 3\/2, 17 in ascending order.\nAnswer: l, 3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.22 - 33.2205176. Round i to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 8*k**2 - 341*k - 2731. Determine j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 18 - 3)*(-4*i + 0*i + 5*i)*(-10*i**2 + 4*i**2 + 2*i**2) to v*i**2 + p*i + d*i**3 + g and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 + -160. Let 3*y**2 - r*y - 16 + 2322*y**3 + 5*y + y**2 - 2318*y**3 = 0. Calculate y.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 1, f: 3}. What is prob of sequence jgjf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921164 is divided by 14023.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 25*j**2 + j**3 + 14*j**2 + 50*j**3 + 12*j**2 to a*j**3 + h + z*j**2 + w*j + v*j**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2 + 6 + 276*l**2 - 1147*l**2 as q*l + v + h*l**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 less than -5301.59?\nAnswer: -5176.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, a: 4, z: 1}. What is prob of sequence ee?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489674 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*m - 4*h, -4*m - 10 = -6*h + 8*h. Is 8\/455 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20971 not equal to 20969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 937 + -936.8. Let x = -2 + 5. Let y be x\/4*10\/(-6). What is the third smallest value in y, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/((-9)\/(-45))*(-48)\/(-64)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 804364 and 199980?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 20 = 11*h. Let a be -2*(h - 21\/6). Is -3\/7 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 8170 = 8*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.127 - 0.273. Which is the nearest to 2\/3? (a) -3 (b) x (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 1731*r**2\/4 - 185310*r - 1703025.\nAnswer: -(r - 870)**2*(r + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (7 + 5 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/(k**(3\/8)*k))\/(k*k**(-2\/7))**(-7\/8))**(-44) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-254366 + 254366 + 52182*a)*(2*a**3 - 2*a + 2*a) to l*a**4 + o + n*a**3 + v*a**2 + w*a and give l.\nAnswer: 104364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 3*g - 34 + 0*g + 59 - 26. Let i(o) = -o**2 + 7*o + 1. Let x(b) = 2*i(b) + 4*j(b). Give x(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 - 3 + 6 - 3.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v**2)\/v))\/(v**(-1\/17)\/v))**(6\/7)\/((v*v\/v**(-1\/3))**(-1)*v*v**(-3\/8)*v*v**(5\/6)*v*v) assuming v is positive.\nAnswer: v**(-2791\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 34 = -4*g, 4*j + 1 - 21 = -4*g. Let q = -4 + j. Which is the biggest value? (a) q (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*m - 20*m - 49*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*c + 3674 = 0, 1753 + 698 = 2*k + c. Suppose -8*a + 6*a + k = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40881 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 176\/(-165) + (10\/6 - 1). Put 2\/11, 7, q in increasing order.\nAnswer: q, 2\/11, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1168 = 12*d. Suppose d = 21*s + 10. Solve s*g - 7*g = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 32739?\nAnswer: 32740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2024*s**2 - 8121*s\/4 + 25\/4.\nAnswer: (s - 1)*(8096*s - 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -97*z + 390. Let m be d(4). Let w(y) = y**2 - y - 2. Let v be w(3). Solve v*b - 11 - 20 = -5*n, -m*b = 2*n - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Let y = 38 + -26. Let h = -2 + y. Solve 3*d = -h + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 7*a - 2*a. What is the units digit of (-7 + -2)\/(9\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*a - 84*a + 12 - 12 - 86*a + 258*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 408882917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*h - 2, -5*v - 3*h = -1 + 32. What is the tens digit of 18\/3 - 968\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 50*o**2 - o + 1. Let t be m(1). Let z be 3 - (t\/9 + (-6)\/2). Factor 2\/9*g - 2\/9*g**5 - 4\/9*g**2 + z*g**4 + 0*g**3 + 0.\nAnswer: -2*g*(g - 1)**3*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/1159 + 4492\/10431. Let y = 0 - -0.4. Let k = y + -0.3. What is the nearest to k in -5\/4, h, -3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -449 divided by -9\nAnswer: 449\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + h)*(-1 - h**4 + 1) + (32 + 27 - 38)*(0*h**5 + 3*h**5 - 2*h**5).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 27*u**5 + 180*u**4 + 408*u**3 + 378*u**2 + 141*u + 18 = 0.\nAnswer: -3, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23353920 and 680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*v**4 + 7*j**3*v - 3*j*v**3 + 14*v**4 + 18*v**2 wrt v.\nAnswer: 24*j**3*v - 18*j + 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -3\/56 (b) 4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*y - 82, 0 = -j - 3*y - 0*y - 53. Let l be (-4)\/22 - 1196\/j. Let n = l - 5. Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -39. Let k(i) = -5*i - 32. Let d be k(n). Solve -3*r + 6 = -5*p, 6*r - r - 10 = -d*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48377997611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -411*q - 2138*q - 200*q - 1 + q + 1 - 3*q + 8*q - 3*q + q - 6*q + 3*q - q - 2*q + q + (3*q + 2*q - 4*q)*(2 - 4 + 1) + 0*q + 4*q - 5*q - 4 + q + 4.\nAnswer: -2751*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 - (-15 + -2 + (6 - 4))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 735 divided by 508\nAnswer: 735\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 183\/4 and 46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.026, 4 in decreasing order.\nAnswer: 9, 4, 0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 5. Let h be p(-8). Suppose d = 5*x - 0*d + 10, 2*x + 3*d = h. Is 46 - 1*1\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 42 = 4*d, 31*d + 42 = 30*d + 5*t. Let u(r) = -14*r + 3. Let v(q) = 21*q - 5. Calculate d*u(a) - 5*v(a).\nAnswer: -7*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 756504 = 3*x, -5*b - 2*x + 1260833 = -0*x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 2*r + 4*r - 2*r + 189051 - 189051.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -764*l**3*o**2 - 175*l**2*o**2 + 10*o**2 wrt l.\nAnswer: -4584*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460435 (base 8) to base 5.\nAnswer: -14442213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -471, -470?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**3 + 6*l**3 - 5*l**3)*(-4 + 5 + 1)*(-1 + 1 + 2).\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8723 + -102?\nAnswer: 8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 810 (b) 4 (c) -3 (d) -6 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (3 + 47 - 25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 140905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24855329 rounded to 2 decimal places?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 482*y**2 + 2*y - 11. Let a be v(-4). Suppose 10647 = -2*u - 5*w + 2952, -2*u - a = 3*w. Let z = 2245 + u. What is z rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22aa0a (base 13) in base 8?\nAnswer: 3110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1383552 divided by 43236\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(130) - (sqrt(130) - (sqrt(130) - sqrt(130)*2)*6))\/sqrt(10) - (sqrt(117) + (sqrt(117) - (-4 + 4*sqrt(117)))))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 7*m + 4*m + 3*m. Let b(x) = 15*x**2 + x + 1. Let d(n) be the first derivative of -n**2\/2 - n + 9. Let p(a) = 2*b(a) + 2*d(a). Calculate p(r(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((20 - 15) + -21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-530)\/1855 - 137*(-4)\/7. What is the highest common factor of 1599 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4, 2*t - 4 - 6 = 2*w. Let b be 2\/(-3) - (-200)\/12. Suppose -3*j + b = -7*j. Sort j, t, -5 in increasing order.\nAnswer: -5, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -16*p - 3. Let w(u) = -5907*u**2. Give b(w(g)).\nAnswer: 94512*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t + 3*j = 50, 74 = 3*t + 4*j. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5 - -4)*33. What is the common denominator of -115\/14 and 181\/12 + m\/11?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -50) + (-3 + 1 + 1 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61225686339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2. Let k = -3 + 6. Let f(y) = -5*y**2 + 2 - k - 10. Suppose -33*u + 28*u = 10. What is u*f(b) - 11*o(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 342956569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 44 + 24. Let g(q) = -2*q - 20. Let x be g(d). Suppose -8*z - 8*z + 576 = x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:23 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -343104 (base 5) in base 16?\nAnswer: -2ff7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19712*n + 19590*n - 2318 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 17 = 7. Let v(p) = -24*p**2 + p + 3. Let r(a) = -72*a**2 + 2*a + 10. Let x(y) = l*r(y) + 10*v(y). What is the second derivative of x(w) wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - v = -0*v - 3, -5*k - 4*v + 6 = 0. Let b(z) = z**2 + 8*z**k - 4*z**2 - 3*z**2. Let r(u) = 2*u. Give r(b(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2497*v**4\/9 - 89890*v**3\/9 + 119848*v**2 - 479328*v - 384.\nAnswer: (v - 12)**3*(2497*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 694*c - 8506. Determine p(12).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 2*s + 5. Suppose -5 = 2*z + 29. Let r(m) = 12*m**2 - 5*m - 14. Let t(q) = z*c(q) - 6*r(q). Solve t(n) = 0 for n.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 3333492 = -43*l - 66*l. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 2*u - 4*q + 250, u - 27 = 3*q. What is the lowest common multiple of 27 and u?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130334, -130335, -130336, -130337, -130338, -130339?\n\"Answer: -l - 130333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j + 17 + 7*j - 2*j + 1. Let t be k(13). Suppose -t*q = -v - 665, 4*q + v - 508 = -3*v. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 80435?\nAnswer: 80434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-24))\/((-3)\/(-20)))\/(5\/(-60)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:24 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**2 + 2 - 3 + 12*t**2 - 2*t + 2*t**3. Let g be y(3). Suppose 5*n = 20, 4*n = 4*z - 0*n + g. Let r(l) = -l. Let s(u) = 1. Give z*r(b) + 2*s(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4 = -8*b, -4*b + 332 = r + 327 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-6)\/(-10) - 22\/(-5)). Let z(b) be the second derivative of 0 + 0*b**3 - 3*b + 0*b**2 + 1\/60*b**t + 1\/18*b**4. Find y, given that z(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*t = -36*t - 178*t - 588 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18235 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6428 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(272)*2 + sqrt(272))*3 + sqrt(272) + sqrt(272)) + 1)**2*-6.\nAnswer: -197478 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416 - 416. Suppose -12*w + 66 + 726 = l. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 3, g: 1, s: 2, v: 4}. What is prob of picking 1 s and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q - 3. Let p be a(1). Suppose y = -2*s + p, 2*y - 4 = 4*s - 2*s. Let o = 8 - y. Calculate the lowest common multiple of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 559?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -60. Sort -2\/3, -8, c, -0.1 in descending order.\nAnswer: -0.1, -2\/3, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -17*p + 12. Solve 0 = -2*c + p*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1152, 5, -365, 2, 9 in ascending order.\nAnswer: -365, 2, 5, 9, 1152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*h*z - 117*c**2*w + c**2*z - c**2 + c*w + 2*c*z - 15*h*w*z - 912*h*z + 2*h wrt c?\nAnswer: -8*h*z - 234*w + 2*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484381?\nAnswer: 59, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 2*b + 6 = 0, -4*f + b + 10 = 0. Put -6, -2, f, 3 in decreasing order.\nAnswer: 3, f, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2134 divide 501054664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -87, 0.4, -313?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1) + (1 - 8). Let z be (j - -4)*(-2 + 0). Find the second derivative of -3*w**z + 3*w - w + w - 4*w**4 wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h = 23*h + 15*h + 432 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 646 - 251. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 45*b + 33 = 0. Suppose -2*l = -5*l - 48. Put l, b, 4 in decreasing order.\nAnswer: 4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4217595 - -1?\nAnswer: 4217596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*34.63\nAnswer: -13.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = 4*g + 4*y, 5*y = -2*g - g + 381. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r. Let s(l) = -5*l**3 + 2*l**2 + 4*l**3 + 2*l**3 + 2 + 4*l. Let q(w) = 4*m(w) + s(w). Let c be q(-6). Solve -c = -5*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, -6, 2, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5412, -10673, -15934, -21195, -26456?\nAnswer: -31717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 - 6*a - 4. Suppose 5 = m - w - 14, 0 = 3*m - 5*w - 65. Suppose 3*q + m = -0*q. Calculate the remainder when y(q) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.069323 micrograms to tonnes.\nAnswer: 0.000000000001069323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -119, -238, -357, -476?\n\"Answer: -119*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1.3 (c) 2 (d) 475 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/3637 - -440527\/181850. Find the common denominator of -101\/10 and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 84. Give u(0).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -514, -630, -746, -862?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3*g - 5*g + (g + g - 3*g)*(3 - 3 + 5) - g + 0*g + 3*g)*(-4 - 28 + 1)*(g + 6*g - 3*g).\nAnswer: 248*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68061919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -142.7636 rounded to 1 dp?\nAnswer: -142.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*b + 2*x - x, -12 = 4*x. Let i = -1 + b. Let q(j) be the third derivative of j**6\/120 + j**5\/20 + j**4\/8 + j**3\/6 - 2*j**2 - 1266. Give q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.72 and 0.3.\nAnswer: 1.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17511 by -5.\nAnswer: 17511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = v + 2*x, -5*x + 17 = -8. Let m be (-3)\/12 + v\/(-16). Solve -4*f = 3 - m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53466097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3839*a**3 + 8912*a**2.\nAnswer: -23034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.6 (b) 3\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 13*v + 16. Let j be r(12). Let k be 26\/(-4) - (-2)\/4. Let h be (-3)\/(k\/j) - -3. Solve h*d - 25 = -0*t + 5*t, 18 = -5*t - 2*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-8))\/((-420)\/560). Suppose j + 2*z + 22 - 24 = 0, 0 = -3*j + 3*z - b. Factor -o**3 - 1\/4*o**4 + 0*o - o**2 + j.\nAnswer: -o**2*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 - 6*f. Let q(u) = -1766 + 1766 + 10*u**2 + 5*u. Let t(w) = 5*l(w) + 6*q(w). Let n(h) = -h**2. Determine n(t(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 34 = -106. Let h(n) = n**2 + 8*n + 10. Suppose j = 3*f + 3 - 26, 0 = -4*j + 3*f - 47. Calculate the least common multiple of l and h(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11692 divided by -11692\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 169226227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + d**2 + 0*d + (-1 + 2 - 3)*(-2*d**2 + d**2 + 2*d**2) + (0*d + 3*d + 0*d)*(2 + d - 2) in the form n + q*d**2 + i*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -0 - 0. Solve n - 1 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834*y + 21 + 55*y**3 - 834*y.\nAnswer: 55*y**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1177 divided by -353\nAnswer: 1177\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 14 + 0*u**2 + 14. Let y(d) = 4*d. Let n(k) = 9*k. Let w(o) = 3*n(o) - 7*y(o). Determine s(w(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 5120?\nAnswer: -5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/21)\/((-16)\/(-8))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s + 153 - 12*s**2 - 153 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26614 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 125\/4 + 4*o**3 + 45\/2*o**2 + 1\/4*o**4 + 50*o = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + f - 14 = 0, 31*l - 68 = 577*f - 572*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6)*(-32)\/24. Let s = -1348 - -1347. Let v be ((-6)\/9)\/(6 - 2). Which is the second biggest value? (a) u (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/24 + 3*j**2 - 90. Let h(q) = -2*q**2 - 2*q. Let u(i) = -i. Let v(g) = 3*h(g) - 6*u(g). What is v(r(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13968*p**3 - 97*p**2 - 97*p - 97. Let r(c) = -291*c**3 - 2*c**2 - 2*c - 2. Calculate -2*g(d) + 97*r(d).\nAnswer: -291*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -61*i**2 + 10*i + 63. Let d(s) = 30*s**2 - 4*s - 31. Let g(r) = 2*b(r) + 5*d(r). What is the derivative of g(x) wrt x?\nAnswer: 56*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 70 = 2*p, -7*n - 5*p = -9*n + 91. Let q = 244 - 408. Let r = -89 - q. Calculate the remainder when r is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:42 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + 0*l**2)*(-59*l - 35*l + 27*l)*(-2*l**2 - 2*l**2 + l**2).\nAnswer: -402*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3481500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 341*(2 + 0) - (41 - 38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -19*j + 24*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbccdccbcqbccbbqmg. What is prob of sequence cbq?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.8467 nanograms in grams?\nAnswer: 0.0000003838467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-26)*0\/(3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 26*m**2\/5 + 511632*m\/5 + 78712\/5 = 0?\nAnswer: -19678, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-9))\/(2\/30). Let q = -5 + a. Let x = q - -63. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) 40 (c) -4 (d) -1 (e) 4 (f) 0.14 (g) 652\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 11. Let t = d + -10. What is the nearest to 1 in t, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.4348?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13570 and 5357790.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*55\/99*(-9)\/(-12).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1032\/17 in -0.1, -21, -1\/8, -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-70) - (-43001)\/49 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/48*(-2 + (-68)\/(-6)). Let z be (-10 + g)*4*2. What is the third derivative of 7*p**2 - 10*p**2 - 10*p**2 - 7*p**2 - z*p**6 wrt p?\nAnswer: -3840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 35*q - 11. Let n(x) = x**3 + 2*x**2 + 2*x. Let l be n(-2). Let w(u) = -12*u + 4. Let o(s) = l*j(s) - 11*w(s). Factor o(y).\nAnswer: 4*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g = 37*g + 4. Suppose 3*c + g*q + 13 = -16, 4*q = 4. Let j be (c\/(-5) - 2)*(-15)\/9. What is the second smallest value in 1\/3, j, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5238 + -10238. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717c5 (base 13) in base 6?\nAnswer: -4205552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -47815 greater than -47818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + g + 295, 4*i - 230 = 2*g. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.26. Let y = g - -3.04. Suppose -5*r - 2*l + 2 = 0, 0 - 14 = -5*r + l. What is the nearest to r in y, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*h**3 + 10*h**4 + 29*h**3)*(-12*h + 14*h + 6*h).\nAnswer: 80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*u - 4 = 0, 0 = 7*f - 3*f - 3*u - 36. Suppose 0 = 3*c - 22 + 82. Let y be c\/50 + (-2)\/(-5). Solve 3*p + p - f = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 41 = -51 - 287 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22065335?\nAnswer: 5, 31, 142357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobfoote. Give prob of picking 1 o, 1 b, and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 3*z + 26*z)*(3*z**3 - 6*z**3 + 0*z**3 - 3).\nAnswer: -99*z**4 - 99*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + r + 1. Let o be w(-1). List the prime factors of (-123)\/(-9) + (-2)\/o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - 4. Let j = r - -10. Which is smaller: j or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 981728 divided by 89248.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -24 + (0 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 8*j**2 - 3*j + 75. Give b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -7928 and 427 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -h - 79, 5*v + 568 = -10*h + v + 588 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116083 + 549. Let x = i - 4466. Round x to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 275, 553, 831, 1109, 1387, 1665?\n\"Answer: 278*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/240 + 3*k**2 + 11. Let b(z) be the second derivative of y(z). Factor b(v).\nAnswer: -v**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37237, 74492, 111747, 149002, 186257, 223512?\n\"Answer: 37255*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26926*j*o**5 + 97*j*o**3 + 17*j*o - 495269*o**2 wrt o.\nAnswer: -1615560*j*o**2 + 582*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -35. Let m = 15 - -12. Calculate the greatest common factor of o and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30505*x - 18451*x + 23929*x + 91665*x.\nAnswer: 127648*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-67)\/(-3) + (-1)\/3. Suppose -3*w - 18 = 2*m + m, 3*w - 5*m - k = 0. Let r be 4\/2 - (w + 180003). Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*2) + (-1 + sqrt(17))*3.\nAnswer: -3 + 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46729*d**4*v**2 + d**4*v - 2*d**4 - 30*d**2*v + 2303*v**2 wrt d.\nAnswer: 1121496*d*v**2 + 24*d*v - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.6565 rounded to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1690 - -1693. Let w(b) be the third derivative of -1\/9*b**s + 2*b**2 + 0 - 1\/72*b**4 + 1\/90*b**5 + 0*b + 1\/360*b**6. Factor w(i).\nAnswer: (i - 1)*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 91035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2 + 496*z - 3712 = 0.\nAnswer: 8, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -81, -290, -697, -1368, -2369, -3766, -5625?\nAnswer: -8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*v + 17 = 0, 4*j - 2*v - 66 = 2. Suppose -2*r = -5*r + 2*g - j, 0 = -4*r - 3*g - 34. Let q = r + 6. Put 3, q, 5 in descending order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 102. Let c(l) = -4*l**3 + 6*l**2 - 7*l - 7. Let r(h) = -h**3 + h**2 - h - 1. Let v(j) = 17*j + 324. Let x be v(-19). Calculate g*r(s) + x*c(s).\nAnswer: 2*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4 = 0, a + 50963 = -2526*w + 48466 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19903c (base 14) in base 7?\nAnswer: 10502105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c**(-16)\/c)*c)**6 assuming c is positive.\nAnswer: c**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 2 - 2)*(3*j**2 - 17 + 6 + 3).\nAnswer: -15*j**4 + 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 + 45 - (-86 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 203 = 22*i + 67. Solve 4*t = -5*v + i, 31*v - 26*v - 20 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 460687*r. Let n(t) = 45*t**2. Calculate p(n(c)).\nAnswer: 20730915*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 68\/21 (b) -0.4 (c) 8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.1 + 0.23?\nAnswer: 150.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 494 and 476.\nAnswer: 117572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -3*y - 1, -3*h - 16 = -2*y. Is h\/11 - (-7180)\/44 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100210102 - 11?\nAnswer: -100210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 60?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 777865388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1836*d**2*m + 451*d**2 wrt m.\nAnswer: 1836*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/9)\/((-12)\/126). Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43357a (base 11) to base 3\nAnswer: 1022012100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 4*x**2 - x - 4. Let n be g(-4). Let u(i) be the first derivative of 3*i**2\/2 + 8*i - 200. What is the units digit of u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*s - 14 = 0, 0 = 3*l + 3*s + 6 - 12. Solve 4*h + 28 = l*x, -2*h = 3*h + 5*x - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -1000101000001011010?\nAnswer: -1000101000001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 171?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let v = n - -9. Let a(w) = -2*w - 2. Let u be a(-3). Solve -4*s = 5*t + 2, -u*s = -v*s - 5*t - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*p - 18, 2*k + 3*k - 19 = 4*p. Let j(a) = -2*a + 0*a + k*a. Let i(g) be the third derivative of g**4\/12 + 2*g**2. What is i(j(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12753228 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.34 - 0.96. Let n = 0.7 - b. What is the closest to 3\/5 in 2\/7, n, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) - 23\/(-56). Let x(p) = -3 + p**2 - 48*p - 37*p + 82*p. Let j be x(-1). What is the closest to 0 in 3, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 26. Let u be y(-21). Solve 4*k + 15 = -3*p - 17, 4*k = u*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76892217*c - 626896047?\nAnswer: -76892217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -378. Let w = -168 + t. Solve -5*a + w = -4*k - 3, 2*k = -a + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 11 - 13 = 0. Let y(t) = -7 + 2*t**b - 10 + 17. Let w(j) = -15*j. What is w(y(x))?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 17*k = -198. Suppose -10*x - 4*r = -k*x + 22, 0 = -x - r - 7. Let i(b) = 2*b**2 + 4*b + 2. Let q be i(-3). Put q, x, -1 in ascending order.\nAnswer: x, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 2 + (-4 + 0 - 1)*(3 + 5 - 3))*(2 - 2*u - 2) to the form n*u + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87, -157, -203, -225?\n\"Answer: 12*f**2 - 106*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let x = 0 + 2. Let a be (3 + g)\/((-3)\/x). Sort -4, -3, a in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 1. Let d(p) = 15*p**2 + 269*p + 237. Let b be d(-17). Let o(y) = 2*y**2 + 3. Give b*o(t) - 6*j(t).\nAnswer: 4*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-30))\/(2\/(-15)). Let t(r) = r**3 + r**2 - 2*r - 1. Let s be t(-1). Let f(o) = 529*o - 15299. Let m be f(29). What is the nearest to m in v, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.344651.\nAnswer: -0.344651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 196555771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*q - 26*q + 225 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73130.\nAnswer: 2, 5, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/1851 - 5605\/3702. Let c = 0 + -9. Sort 0.1, t, 1, c in decreasing order.\nAnswer: 1, 0.1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25301373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 2*w**3 + 4*w**3)*(1 + 42*w - 88*w - 77*w).\nAnswer: -492*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2\/2 - 2*r - 4. Let v(q) = q. Calculate -t(h) + 2*v(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 272.3 + -206. Let h = r - 66. What is the third biggest value in 3\/7, h, 1\/3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*i - 16, -5*x - 3*i + 3 + 9 = 0. Suppose 0 = 8*o + 6 - 22. Suppose o*y + 2*g = -x*g + 1700, 5*g + 856 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/5, -29, -1, 119\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -231, -260, -299, -354, -431, -536, -675?\n\"Answer: -g**3 + g**2 - 25*g - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 459\/405 + (-36)\/45.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.23357 bigger than -5.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 1\/9, -3, 8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 962636 divided by 149?\nAnswer: 962636\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.033 + 0.167. Let m = -2 - -3. Suppose 0 = k + 3*d + 7, -3*k = -k - 2*d - 10. What is the nearest to 0 in k, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -871731 + 2593465. Let m = -2861734 + k. What is m rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 4*u + 183 = 0, 44 = 4*x - 16812*u + 16810*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -5*t**4\/4 - t**3\/6 + t**2\/2 + t. Let s be q(-1). Let l = s + 84. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzkkzxkkxk. Give prob of picking 1 z, 1 x, and 1 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 6*m + 6. Let y be g(-4). Suppose 2 = y*x - 26. Let i be (-8)\/2*(-2)\/4. Calculate the highest common divisor of i and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -162*s**5\/65 - 765*s**4\/26 + 964*s**3\/39 + 324*s**2\/13 + 80*s\/13 + 1167. Suppose v(u) = 0. What is u?\nAnswer: -10, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*((-286)\/(-20020))\/((-2)\/110).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-27)\/6*(-1 + -3) is divided by (0 + 2)\/((-4)\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 77 - 13 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 34. Let c be b(0). Suppose 0 = -4*r + 262 - c. Calculate the highest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * 2145.\nAnswer: -98670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.490093844 rounded to five dps?\nAnswer: 0.49009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*s = -4*j - 106, 0 = -2*j + 2*s - 40. Let m = 23 + j. What is the nearest to -1 in -2\/5, 11, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 9*q + 4. Let w be l(-9). Let h(y) = 144*y + 48. What are the prime factors of h(w)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 990*l - 231563. What is s(379)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-37))**(-33)\/(v**21*v*v)**(-7) assuming v is positive.\nAnswer: v**1382","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*r - 7*r + 9 = 0, -c = 4*r - 6. Find the second derivative of d**2 + 6*d - 6*d**3 + c*d**3 - d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6814 divide 3223947779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 17. Calculate f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -16. Let m(f) = 7*f + 34. Let o be m(-4). What is the greatest common factor of o and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - 2 + 2)*(-210*u + 243*u + 247*u) - 2*u**5 + 5*u**5 - u**5.\nAnswer: 282*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3316*c + 1536 wrt c.\nAnswer: -3316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-151)\/302)\/((-10)\/8*8\/60). Suppose 0 = 5*f - 2*s + 3*s - 16, -s + 8 = 3*f. Solve 4*p - r*p + f = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 11*u**2 + 21*u + 5. Let b be z(-4). Solve 16*w = b*w + 51 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19672*b**2*z**2 - 8*b**2*z + b**2 + 26*b*z**2 - 4*b + 14*z**2 + 940*z wrt b?\nAnswer: -39344*z**2 - 16*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 6.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000296699521 to 6 dps.\nAnswer: 0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89878816.\nAnswer: 2, 19, 147827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -9. Suppose -4*w - 21 = -5*f + 5, -2*w - 14 = -3*f. Suppose -3*k + 3*o = -60, -3*k - 2*o + v = -f*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 12844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 9. Let i(g) = 3*g + 5. Let f be -1 - (2 + 0 + 0). Suppose -10 = 3*d - 4*d + 3*w, 4*d + 15 = w. Give d*i(u) + f*y(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 - 11*a - 6. Suppose -4*m + 9 = -m. Suppose -31 = -5*u + m*h, -h = -4*u - 2*h + 35. Let v(f) = 3*f**2 - 7*f - 4. Determine u*v(b) - 5*l(b).\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*u, -g + 36 = -u + 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*y**2 - 53*y + 175*y + 266*y**4 - 58*y - 66*y wrt y?\nAnswer: 6384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1066 + 1694. Suppose 0 = 14*t - 30*t - 3472. Let x = t + y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - -12)\/(1*-1). Let a = x + 8. Suppose 0*r = 2*r - a. Solve r*q + 5 = -3*n - 10, -3*n + 3*q - 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15626 and 117.\nAnswer: 140634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2. Let t(q) = 117*q. Give t(k(u)).\nAnswer: 585*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141452802 and 144?\nAnswer: 1131622416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 17 - 68 = 0. Sort -2, r, -21, -1.\nAnswer: -21, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u + u. Suppose 2*b - 11 - 3 = -5*s, 0 = u*s + b - 5. Find the third derivative of 3 - m**s + 8*m**2 - 7*m**2 - 3 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.128, -0.3, 2355, -4?\nAnswer: 2355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4+30927251913281\nAnswer: 30927251913285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1210965 to 3 decimal places.\nAnswer: 3.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c - 124597895*c**3 + 124597913*c**3 - 51*c.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 75.4. Sort -5, 1, r, 4 in descending order.\nAnswer: 4, 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-2)\/(-3) - -2. Suppose n*z + z = -5. Let r(h) = 2*h**3 - 2*h**2 - h. Calculate r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.63124528 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450193314?\nAnswer: 2, 3, 75032219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 less than -31939?\nAnswer: -31882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 11. Let c be (0\/1)\/(4\/1). Let d be w(c). Solve -d - 4 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29555 divided by 5911?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 5*d + 18. Let r be f(5). Suppose u - 3420 = -r*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7 - 130*r + 34*r in the form i + u*r and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 13886?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -8 + 1 + 4 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*n - 13\/10*n**3 - 11\/10*n**2.\nAnswer: -n*(n + 1)*(13*n - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3200 - 2282. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-343)\/(-35) + 1\/5. Let z(q) = -q + 14. List the prime factors of z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 7. Let p be s(9). Let l = -9.6 + 10. Suppose 2*a + 0*a + 3*f = 0, 0 = 5*a + 4*f. What is the nearest to a in p, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2950164615.\nAnswer: 3, 5, 17, 239, 48407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 27*t - 28*t + 107991, 2*t = -w + 215992. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*s + 1 = 0, 0 = z - 4*z - 5*s + 34. Let a be -3*z - -2 - -3. Sort a, -5, -3.\nAnswer: -5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let z = q + -1. Solve -4*d + 6 + z = 0, -4*a + d = -18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76, 260, 558, 970, 1496, 2136?\n\"Answer: 57*y**2 + 13*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, 2\/7, 2\/19, -9233?\nAnswer: -9233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -5*h**4\/12 - h**3\/6 - h. Let d be l(-2). Let j = 28 + d. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - -2*-2*sqrt(80) - sqrt(80))\/(sqrt(576)*2).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 26 = 10. Let q be 3\/(-9)*6\/c. What is the closest to -3 in -0.5, q, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1469 - -2072. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/87*((-18)\/(-8))\/(477\/(-318))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, 1, 0.3, 2104?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let v(m) = -2539*m**2 + 2*m. Determine y(v(x)).\nAnswer: 2539*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257984, -515970, -773956?\nAnswer: -1031942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 5*g + 19. Calculate the remainder when 97 is divided by m(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 91*r + 3. Let t(p) = 90*p + 4. What is -4*l(c) + 3*t(c)?\nAnswer: -94*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10 + (-87)\/(-9))\/5)\/((-18)\/20)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -846, -1548, -2196, -2790?\n\"Answer: 27*a**2 - 783*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 - 5 = -12*u. What is the lowest common multiple of u and 1567?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66504*d - 66494*d + 199434*d - 66475*d.\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -11, -51, -5, -583 in decreasing order.\nAnswer: 5, -3, -5, -11, -51, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(57)\/sqrt(3) - 6*1*sqrt(19) - (2*sqrt(19)*1 - sqrt(114)\/(-1*sqrt(6))))**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*q = -130, 3*q = 3690661 - 3690559 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + m**3 + 88 + 75 + 6*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -8 + 34 + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 118 + 97 = 0. Solve -s*a - 6*c + c - 2 = 0, 0 = -5*a - 3*c - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 + 157. Solve 18 = -5*n - h, 2*n - 2*h + u = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 3. Let j be m(-3). Let k(z) = j*z**2 + 1 - 8*z**2 - 1. Let o(t) = -t**2 - 4*t**2 + 4*t**2. Calculate o(k(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (-1)\/2. Let h = 3 - n. Let r be h + (-12 - (-1 - 2)). Which is bigger: -6 or r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17631, -35262, -52893, -70524, -88155, -105786?\n\"Answer: -17631*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 878, 1272, 1678, 2096, 2526, 2968?\n\"Answer: 6*o**2 + 376*o + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -80, -45, 20, 121?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 20*l + 7. Determine t(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9234 by 6.\nAnswer: -1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2085050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 - 327 = -8*f. Let v be (-40)\/220 - 57\/(-11). Suppose c = -v*z + 31 + 8, -c - 4*z + 36 = 0. What is the remainder when f is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22379725 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in 3770, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135.141 - 6486.241. What is y rounded to the nearest 100?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.05475\nAnswer: -0.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 1. Suppose 0 = -24*z - 127 - 38 + 45. Let n(h) = -h. Calculate z*n(b) - g(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17202, -3, 0.1, 0 in decreasing order.\nAnswer: 17202, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 3. Let z(w) be the first derivative of 2*w**2 + 11*w - 14. Let s(c) = -9*q(c) + 2*z(c). Determine s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -72 + 22 - -18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -238, -215, -162, -67, 82?\n\"Answer: 2*g**3 + 3*g**2 - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*z - 2*b + 12 = 0, 3*z = -5*b + 21. Suppose -11*i + 5*i = 12. Suppose 12 = -2*f - 4*m + m, -5*f - m - 4 = 0. Put z, i, f in increasing order.\nAnswer: i, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 5. Let c be q(-4). Suppose 2*o + 0 - 6 = 0. Suppose 0 = -c*p - o, -g = 5*p + 4 - 12. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1056\/312)\/(-22)*13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 0*a - 1703 = 0. Let b = -120 - a. What is the smallest common multiple of b and (-4)\/(-6)*18\/4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674 > 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 40 (c) -0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g**2 - 8*g**2)*(1 - 1 + 2) + 6*g**2 + 10*g - 10*g.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3, 27, 1\/2, -1\/9, -2\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13792, 13810, 13828, 13846, 13864?\nAnswer: 13882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2*a**3 - 2*a**2 - 12*a - 129. Let k be i(-3). Solve -49 = g - k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(2\/5))\/2 + 2067201\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3022783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 3*l = 12*z - 147280, -3*z - 3*l + 88344 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 982 + -992.18. Let x = -11 - f. What is x rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 + 1616*h + 79194.\nAnswer: -2*(h - 201)*(5*h + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1693872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s = -2*i - 43*s + 12, -4*i = 4*s - 40. Solve 0 = -2*k - 10, -3*j - i*k = 2 - 10 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 13) in base 6?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 - 166. Let z be 1\/(i\/12 + 2\/(-3)). Solve -z*m - l - 4 = -2*l, -m + 3*l = 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/15637550 and 23\/2161970?\nAnswer: 1610667650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9. Is -2\/13 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 d when three letters picked without replacement from cmdxdswmddmxdxd?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 2*j - 210. Determine o(0).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, b: 1, g: 1, s: 1, n: 2}. What is prob of sequence bg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 6. List the prime factors of y(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 132*w - 68*w + 13 - 64*w + 2*w**2 + w**3 to n + g*w**2 + x*w**3 + y*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.4, 5, -1\/25, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18601300 rounded to the nearest 100000?\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-2))\/(44\/33*(-216)\/64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let k = 40 + -28. Suppose 5*x - k = 8*x. Determine d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 11. Let q(r) = -5*r**2 + 10. Determine 3*m(y) + 2*q(y).\nAnswer: 2*y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 80, 4\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 809242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000168873 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/52? (a) -2\/11 (b) 5 (c) -5 (d) -2\/45 (e) -0.03 (f) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9101 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: Let c = -1248.7 + 1307. Let b = c - 0.7. Let w = b + -58. What is the nearest to -0.5 in w, 5, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 401310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - g**3 - g + 0 - 2 - 5*g**2 + 3*g**3. Let r be j(-5). Sort -2, r, -4 in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.1862 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (-1*sqrt(136) + sqrt(136)))*2)\/((sqrt(96)*-2)\/sqrt(12)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s. Suppose 4*t - w - 175 = s, 3*t - 2*t = -4*w + 31. Let x = 45 - t. Solve 2*d - 5*i - 35 = 0, -21 = -x*d + i - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2983 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2074.327 - 2216.59. Let c = k - -142. Let s = 0.374 + c. Round s to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 92*l**2 - 181*l - 217. Let r be p(-44). Which is the nearest to 2\/59? (a) -2\/5 (b) r (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/31944 and 92\/23595.\nAnswer: 2076360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15 + q**4 + q**4 + q**4 - 6*q**2 + 0*q**4. Let w(o) = 1. Let c(a) = m(a) - 12*w(a). Factor c(u).\nAnswer: 3*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.33 (c) -0.4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 10*t**2 - 11*t - 18. Let l be z(-9). Factor l*d + 2\/13*d**3 - 2\/13*d**2 + 4\/13*d**4 + 0.\nAnswer: 2*d**2*(d + 1)*(2*d - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**4 - 5*s**3 - 7*s**2 - 5*s - 5. Let m(v) = 6*v**3 + 2*v**4 - 3*v**3 + 3*v + 4*v**2 - 4 + 7. Let b(r) = 6*c(r) + 10*m(r). Factor b(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.6407216.\nAnswer: -3.203608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 7*y - y)*(5*y**3 - y**3 - 6*y**3)*(36*y - 20*y - 26*y) + (0*y**4 + 3*y**4 + y**4)*(y + 1 - 1) + 2*y**5 + 0*y**5 - 4*y**5.\nAnswer: 62*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -4613*p**6\/30 + 5*p**4\/12 - 7*p**3\/6 - 27*p**2\/2 + 2095*p. What is the third derivative of c(a) wrt a?\nAnswer: -110712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 4. Let c(v) = -v**2 + 2*v - 1. Let u(g) = -10*g + 3 + g**2 + 3*g + 1 + 2*g**2. Let y(w) = -7*c(w) - 2*u(w). Determine -j(i) + 2*y(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 35. Let w = 5063 - 20353\/4. Calculate the common denominator of (-846)\/132 + 7 - (a - 0) and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 1. Let p be z(-1). Suppose 0 = 3*j - 6 + 15, -4*x + j + 11 = 0. Calculate the greatest common divisor of p and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45328645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n = 0. Let d be (-21)\/(-6) + (-1)\/2. Let x(o) = d - 7 + 0 + o**2. Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945.714 millennia in centuries?\nAnswer: 29457.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -125*i - 8. Let t be j(-6). Let w = t - 525. What are the prime factors of w?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579 + 659. What is the remainder when ((-2)\/(-14)*334)\/(r\/560) is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(6\/(-4)) + 14. Let u be (-2)\/3*(-90)\/x. Suppose -p + 6 = b - 0, -18 = -3*b + u*p. Solve -v = v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 103, 1\/6 in ascending order.\nAnswer: -1\/3, 1\/6, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 + 5*l - 5. Let f be i(1). Solve 4*h + 4*c - 8 = f, 1 = -2*h + 2*c - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 22*z**2 - 63*z - 246. Calculate f(-4).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-25)\/2))\/(9\/15*-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (-3 + 1)\/(3150\/234675)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 91. Let l be h(-10). Is 2\/(l\/49905*(5 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*l - 7*l - 17, 3*b - 22 = 2*l. Let z be 2421\/(-45) - (-1)\/l. Let p = 107 + z. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5 - 220*m + 213*m + 2. Suppose -2*o = 4 - 2. Let n(y) = -y. Calculate o*q(s) + 6*n(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41961, 168297, 378889, 673737, 1052841, 1516201?\nAnswer: 2063817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5071537 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 537.7334 seconds?\nAnswer: 537733400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06930265 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -328 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2780.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 171 = -3*p, -33*m + 31*m = -5*p + 306. Calculate the greatest common divisor of 580 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29*915\/14152)\/(15\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*l + 71831 - 71722 + 126*l wrt l.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:23 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b4 (base 12) to base 14.\nAnswer: 5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 3. Let z be j(0). Suppose -z*f + 150 = -2*y, 3*f = -y - 67 + 217. Find the common denominator of -115\/42 and 39\/4*f\/(-45).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (1 + sqrt(612) - sqrt(612))*-2 - (-2 + 3 + sqrt(612)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*i = 4*g - 170, 4*i + 850 = -5*g. Let r = g + 327. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -19. What is the units digit of k + 76 + -1 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3101136.\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m + 69*m + 21 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9340 - -9870. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60896700 divided by -2859?\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (2 - 1 - -5). Is 3 a factor of (-30)\/(-4) - 2\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/3493758 and -37\/372.\nAnswer: 216612996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 3. Let c be w(-5). Sort -2, c, 1 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 102. Let x = m - 52. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11549, -11550, -11551, -11552, -11553, -11554?\nAnswer: -11555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -52*p + 12. Determine b(-1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 2 + -2 + -4. Suppose c*a - 1 - 5 = 0. Is 3 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 368.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.35 + -7.35. What is the closest to 1 in 0.02, -1\/6, j?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1610)\/(-460)*2592\/7. Which is bigger: 3886\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - h + 5*c = -62, 58*h - 55*h + 66 = 6*c for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -49.8 (b) -457 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1156 + 1156. Put 34, o, 2\/15 in descending order.\nAnswer: 34, 2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-8))\/((-1040)\/64). Sort t, -9, 0.\nAnswer: -9, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p. Let v be (-2 - p)*(-1 - 0). Which is the third smallest value? (a) -0.3 (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0141672, 0.1, -104\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -929, -3664, -9119, -18200?\nAnswer: -31813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -770584.7 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -19, -17, -18 in decreasing order.\nAnswer: 6, -4, -17, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1520, 1518, 1516, 1514?\n\"Answer: -2*f + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 142. What is the smallest value in -4, k, -1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.343*-10\nAnswer: -3.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -82 (c) 1283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 149, 224, 315, 428?\n\"Answer: d**3 - d**2 + 61*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16949 or -16970?\nAnswer: -16949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 151783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-19)\/3)\/(3\/(-9)) + 1. Calculate the greatest common divisor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11544*k**3 + 4088*k**2 - 83131*k - 140 wrt k.\nAnswer: 69264*k + 8176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -26189\nAnswer: 4\/26189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*p + 278*p + 2*l = 2, 23 = 4*p + 3*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/12 - 1\/12. What is the second biggest value in 1, w, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/(-3))\/(15\/(-315)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -441 - -441. What is the closest to l in 0.7, 1, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55853 by 2041.\nAnswer: 55853\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 29 = -5*m. Let k be (3\/(-1))\/(m\/(-48)). Suppose k + 17 = 5*v. Is 6 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2 and -21\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/10 - b**4\/24 - b**2. Let t = 57 + -58. Give p(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6531170512?\nAnswer: 2, 408198157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 72 = -28. Calculate the remainder when n is divided by (7\/3 - -2)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3 + 5. What is the third derivative of -3*j**i + 0*j**3 - 3*j**4 + 0*j**3 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 6*a - 4. Let r = -82 - -86. Give h(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 4. Let t be h(-3). Let v = 3 - t. Calculate the common denominator of v + ((-11)\/(-10))\/(-1) and -83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 8*j - 6. Let o be h(-7). Let k(v) = -28*v - 2. Let m(d) = -1. Let g(u) = o*k(u) - 3*m(u). Does 29 divide g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-1920)\/(-30))\/704?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/8316 and 145\/11088.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1537\nAnswer: -2\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367 = -4*a + 2*p - 391, -5*p = -6 - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 54674\nAnswer: 15\/54674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-775)\/40 + 17 + -5 and -51\/2432.\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d5 + -26?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 - 403. Let w(g) = 4*g**2. Determine w(u(f)).\nAnswer: 400*f**4 - 32240*f**2 + 649636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*b**3*y**3 - 15442*b**3*y**2 - 49*b**2*y**3 + b**2*y**2 + 52*b**2 + 2*b*y + y**3 - 1180 wrt b?\nAnswer: -600*y**3 - 92652*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1779474*v**4 - 932965*v**2 wrt v.\nAnswer: -42707376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -389.2 - -389. Let z be -2 - (2 + 34\/(-10)). Which is the third biggest value? (a) o (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let g = 12 - 7. Which is the nearest to 2? (a) x (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15253\/1158 - 1\/193. Let b = -4\/691 - 29665\/8292. Calculate the common denominator of b and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 607454766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 3 (b) 2\/7 (c) 0.9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 7) in base 16?\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/26)\/(77\/34188*74)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 368.233 + -368. Let x = -0.067 - n. Which is the third smallest value? (a) -3 (b) -37 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.129325 nanoseconds to microseconds.\nAnswer: 0.002129325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - r + 2. Let a(h) = h**3 - 9*h**2 + h - 7. Suppose d - 10 = -1. Let n be a(d). Is g(n) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -25, 4*g = -2*x - 2*x + 32. Suppose g = 3*h - 15. Solve 4*s + 0 = 5*p - h, p - s = 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 + -874. What are the prime factors of 4\/(-1)*t\/4?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**3 - 2*y**2 - 4*y + 7. Let r(t) = -15*t**3 - 4*t**2 - 9*t + 15. Give 9*k(g) - 4*r(g).\nAnswer: -3*g**3 - 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437988 by 2.\nAnswer: -218994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Suppose f*w + 2*w = 8. What is the common denominator of 47\/8 and (595\/w)\/7 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1704 (c) -4\/5 (d) -7\/24 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 266, 591, 1046, 1631?\nAnswer: 2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297778684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13 - 13*x + 2 + 2*x + x**2 - 8. Let y be 0\/3 + (13 - 0). What is the lowest common multiple of m(y) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c200 (base 13) to base 3.\nAnswer: -102111212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2 less than -10?\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 149, 115, 33, -121, -371, -741, -1255, -1937?\n\"Answer: -4*o**3 - 6*o + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 1. Let g(l) = 5*l + 8. What is 6*d(u) + g(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112525 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440, 1216, 2330, 3782, 5572?\nAnswer: 7700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185719\/2592 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2720605 + -0.0132995.\nAnswer: 2720604.9867005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -103 + 313. What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Let s = -48 - -127. Suppose 0 = -d*p + s - 29. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 25. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 55. Let w(a) = 20*a**2 - 7*a + 53. Let l(y) = 13*y**2 - 5*y + 38. Let r(o) = -7*l(o) + 5*w(o). What is s(r(f))?\nAnswer: -162*f**4 + 36*f**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 292 and -2.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = 7. Suppose 0*h - q*h = 3*x - 518, -3*h = 15. Suppose 2*n = -0*n + 32. What is the highest common factor of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.7283 rounded to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19014387 by 249.\nAnswer: -76363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11*x + 4)*(-6 + 3 + 1) + (2*x - 3*x + 2*x)*(1 - 4 - 2).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(432\/160)*(-6)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/166 - -787\/15106. What is the nearest to 1 in p, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oahaaahaalo. Give prob of picking 1 o and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 360 = 0. Suppose 0 = -5*i + 2*r - 74, 3*i + 23 + 23 = 2*r. Let p = i - -24. Calculate the highest common divisor of f and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552862998 to the power of 1\/2, to the nearest integer?\nAnswer: 39406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/20? (a) 6.3 (b) 2 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - j + 2. Suppose 2*c + q + 4*q = 22, -3*c - 2*q + 11 = 0. Let k = c + 19. Calculate the least common multiple of k and h(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19126?\nAnswer: 2, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 4:42 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111961, 0, -5 in ascending order.\nAnswer: -111961, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2790)\/(-837))\/(2\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -99931 minus -66.41?\nAnswer: -99864.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 9. Let m = v - -39. Is 17 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6507600 to the nearest 10000.\nAnswer: -6510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 96 + 84 = -4*s, 3*o + 17 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6970 and 680.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**6\/30 + v**5\/20 - 7*v**4\/2 - 39*v - 55. Factor j(x).\nAnswer: x**2*(x - 6)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s + 4. Let n(j) = 5*j**2 - 12*j + 17. Let o(q) = 9*h(q) - 2*n(q). Let i be (6 + -2)*(18\/(-8) + 1). What is o(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 6 - -3 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -5, -28, -51, -74?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285 = 53*i + 891 - 613 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105338 is divided by 358?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-0.2239.\nAnswer: 6.0453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -16.81. Let a = p + 0.11. What is the closest to -1\/2 in -5, a, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17493.74 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*w + 1855, 430*j = 432*j - 2*w - 3734. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503073 is divided by 2779?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8895, -8897, -8899, -8901, -8903?\n\"Answer: -2*m - 8893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -65225 to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g + 13. Let o(j) = j**2 + 7*j. Let z be o(-6). What are the prime factors of u(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4))**(-20)*(c*c**(-5))\/c**(2\/29))**(1\/14) assuming c is positive.\nAnswer: c**(-263\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008999228 rounded to 6 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 578 and 2?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 - 4*y + 5. Let s be 6\/2 - 2\/1. Let i = s + -2. Let w be 1\/(1 - 6\/9). Let x(q) = -q**2 - q + 1. Calculate i*b(h) + w*x(h).\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 - 201. Which is the biggest value? (a) g (b) 1\/8 (c) -1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {e: 1, m: 1, p: 1, b: 3, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 987 divided by 625828.\nAnswer: 141\/89404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-186)\/66 - (1 + -2 + -2). Which is the fourth smallest value? (a) 16 (b) 0 (c) -5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 + v**4 + v - 2*v**2 - v**3 - v**3 as l + d*v**3 + h*v**2 + j*v + q*v**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03115 and 0.0276?\nAnswer: -0.00085974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -20*s + 7. Let m(o) = 20*o - 8. Calculate -6*h(u) - 5*m(u).\nAnswer: 20*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10454 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111414875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 7*u - 5*u - 2)*(-3*u**4 + u**4 - 4*u**4).\nAnswer: -12*u**5 + 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/7)*x**(-2\/7)*x**10\/x**(-2\/7) assuming x is positive.\nAnswer: x**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*c - 40*c**3 + 5*c**5 - 493*c**2 - 648*c**2 - 40*c**4 + 1621*c**2 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1341466, 1341462, 1341434, 1341370, 1341258, 1341086, 1340842?\nAnswer: 1340514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1304*n**2 + 14 - 47*n - 51*n + 118*n - 20*n to the form w*n + g*n**2 + b and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1757 - 1034. Let z = d + -404. List the prime factors of z.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-6) + (-258)\/(-36) + -3. Solve -i + 16 = -r*b, 3*b - 2*i - 1 = 2*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8157378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**4 - 487*k**3 + 150*k**2 + 3*k?\nAnswer: -120*k - 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223332331031 (base 4) to base 15.\nAnswer: 102b4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27963288 and 30.\nAnswer: 139816440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 146441 times 13.53?\nAnswer: 1981346.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, v: 2, x: 1, j: 1, r: 2}. What is prob of sequence mr?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -298, -320, -380, -496, -686, -968, -1360, -1880?\n\"Answer: -3*z**3 - z**2 + 2*z - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**2 - 24*g + 22. Let b(v) = -60*v**2 + 96*v - 87. Let o(s) = 2*b(s) + 9*x(s). Let f(m) = -3*m**2 + 5*m - 5. Determine 24*f(w) + 5*o(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18411275 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 1 - ((-44)\/(-14) - (-42)\/(-294)). Solve 8 = -r + 2*k, -3*r = 2*r - k + p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 10:12 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9 = 54. Suppose -a + o + 11 = 0. Solve -a = 7*v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from vywygyhgvyffhhvf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((9 - -9) + -4) - (10 + 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*a**2 + 134 - 90 - 51 to the form s*a + c + f*a**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1597726 and 978.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*a + 4 - 18, 0 = -2*a + 2*i. Suppose -5*g + 3*h + a*h = -225, 3*g - h = 131. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k - 51. Calculate b(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379520800 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 196. What is the remainder when 207 is divided by i(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 411092.3 microseconds?\nAnswer: 411.0923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -3*r, -2*r - 19 = -4*j - 5*r. Suppose 0 = 2*a + m - 9415, -13079 = -4*a - j*m + 5745. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/(t\/t**(-5)))**(-6)*(t**(-2))**(-41)\/(t**(-6)*t*t*(t**(-8)*t)\/t*t) assuming t is positive.\nAnswer: t**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 3\/4 (c) 4 (d) -335669 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 5*r + 4 - r**3 + 3*r to the form j*r**2 + a*r + f + u*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/(2*(-6)\/(-16)). Which is bigger: -15\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b169 (base 14) to base 16.\nAnswer: -10d19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-6 - (-13 + -18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p - p**2 + 0*p**2 + 0*p**2 - 9. Let d be m(-8). Suppose d = 2*i - 4*y - 5, -3*y - 18 = -3*i. What is the remainder when 2 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t + 8. Let r be i(-4). Let f = r + -60. Suppose -4 = 3*j - f. Solve 0 = 5*b - 3*b - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 37. Let h(t) = 2*t**2 - 2. Let y(c) be the second derivative of 0*c**3 - 2*c - 1\/12*c**4 + 0 + 1\/2*c**2. Calculate z*y(g) + 2*h(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/407 or -1?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1740, -2181, -2638, -3117, -3624, -4165, -4746?\n\"Answer: -w**3 - 2*w**2 - 428*w - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*w + 20, w + 10 = 433*j - 431*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.331372054 rounded to 3 dps?\nAnswer: 0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 1\/37, -0.4, 382, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (5 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583002 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: Let d = 4 + -3. Let f be 0 + -1 - d - -26. Let i = f - -43. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 3*u + 0*u**5 - 6*u**2 + u**5 + 3*u**4 + 3*u**4.\nAnswer: 3*u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -31*r**2 - 2*r. Let k(h) = -2632732*h + 3. Determine k(d(b)).\nAnswer: 81614692*b**2 + 5265464*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-10) - 78\/(-30). Find n such that -10 + 12 - n**v + 2*n**2 + 3*n = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727 - 1?\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + -2 + -3 + sqrt(1900) + 1*(sqrt(1900) - (2 + sqrt(1900) + -2)))*3)**2.\nAnswer: -1800*sqrt(19) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8291, -16552, -24793, -33014, -41215, -49396, -57557?\n\"Answer: 10*y**2 - 8291*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*u = -7*u - 1, 0 = -3*v + 5*u + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -11. Let r(t) = -t**2 - 20*t - 87. Let p be r(-8). Let q(a) = -4. Let o(j) be the first derivative of j**2\/2 + 17*j + 4. What is c*o(w) + p*q(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 + -20.005. Let f = 37249315 - 37249294.99999964. Let s = f + r. Round s to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 942 in -0.2, 0.6, 1.8, -1\/3, -3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 3. Let b be h(-5). Suppose z + 4 = b*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4909*d - 58717. Give m(-12).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988638920?\nAnswer: 2, 5, 191, 129403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(53 - (-51)\/(-3))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2. Let z be d(-2). Let p be 1\/4 - (-44)\/16. Find the first derivative of -1 + 0 - j**p + z wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.4 (b) -2\/7 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5512 and 1060.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 + 1\/3*c**3 + 0*c + 4\/3 = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5 - -25) + (-2 - -31)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5911 is divided by 4105.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(360)\/(sqrt(10) - sqrt(40)) - sqrt(36) - sqrt(360)\/(-2*sqrt(10)))\/(-6*-1*sqrt(588)) + -1.\nAnswer: -6 - sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -16 - (-110 + 74 + -1 + 41).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290346 is divided by 4088.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1614.86 + -1628. Let a = y - -13. Let o = 0.139993 + a. What is o rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11963298, -11963301, -11963304, -11963307?\nAnswer: -11963310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 8 = 5*b, -4*b - 434 = -f. Let h(a) = 210*a**2 - f*a**2 + 210*a**2. Let j(t) = -28*t**2. Give j(h(k)).\nAnswer: -112*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/120 + b**4\/12 - b**3\/6 + 6*b**2. Let n be (0\/(-2))\/2 + 1. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/56 - (-8 + (-1506)\/(-42))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*n + 979 = 0, -9*u = -14*u + 4*n + 1661. What is the greatest common factor of 28 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1650 - 1644.9. What is the nearest to 1 in -0.5, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 6*w - 1. Let o(f) = 3*f**2 + 7*f + 1. Give 4*o(r) + 5*v(r).\nAnswer: -3*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, 1, 4, -17612, 2, -4 in ascending order.\nAnswer: -17612, -24, -4, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2816 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 456216*p**2.\nAnswer: 4*p**2*(p - 114054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4307734*q**2. Let s(n) = -n**2. What is y(s(w))?\nAnswer: 4307734*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 129 = 5. Let m be 3\/21 + g\/7. Let v(y) = -2*y + 8. Let t be v(-8). Solve -m = 5*d - t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60757 is divided by 741?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -30*h - 58. Let n be o(5). What is the units digit of n\/(-28) + -8 - (-3784)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:37 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 3*u + 2. Let v be f(2). Let k = 12 - v. Solve 3 - 11 = k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76269*v**2 - 73602*v**2 + 146050*v**2)*(-v + v + 2*v)*(-v + 0 + 0).\nAnswer: 7642*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 = 5*j, -2*j = -c + 3*j + 9. Suppose -u + 54 = 5*m, -2*m + 3*u - 2 = -m. Solve 2*t = 4*s - m, 2*s - c*s + 11 = 5*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/1)\/(800\/(-157280)) is divided by 326.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -83*l**2 - 5*l + 58. Let t(z) = -165*z**2 - 11*z + 125. Determine -5*t(k) + 11*u(k).\nAnswer: -88*k**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 21*h = -10. Suppose -5*i + h*d = 4*d - 1368, -4*d = 3*i - 807. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/144*180\/(-4).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 138*f**2 - 3*f + 2. Let o be r(-1). Let t = -70 + o. What is the remainder when t is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Which is the third smallest value? (a) r (b) 6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12119*l + 12180*l - 422 = 310 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(833))**2 + 2)*6.\nAnswer: 120024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.03046 (b) -0.044 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -47) + -9 + 5 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168700 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 185538 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 19996, -3.\nAnswer: -3, 0, 19996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721643 is divided by 1529.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -3, -23, -4, 3.\nAnswer: -23, -4, -3, 3, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodo. Give prob of sequence ooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1750)\/48)\/5 - 63\/(-378). Let b = 0.05 - -1.95. Put z, 3\/2, 3, b in increasing order.\nAnswer: z, 3\/2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5711 - 5815 = 0. Calculate the remainder when 186 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 46 (b) -2\/5 (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8*y - 11*y**2 + 8*y**2 + 2*y**4 - 6*y as v + n*y + c*y**3 + b*y**4 + x*y**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1363 - -1367. Let t = 8.7 + -8.8. Sort j, t, -0.2.\nAnswer: -0.2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6115 rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 463182, 926362, 1389542, 1852722?\n\"Answer: 463180*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12658, -12653, -12636, -12601, -12542?\nAnswer: -12453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126.939169897 - 144373.050832103. Let l = p + 144482.99. Let t = 17 + l. What is t rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 20 = 4*z, 3*x = -2*z + 8*z - 5*z - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*2\/3 + 5. Suppose -5*r + 3*u + j = -3*r, u - 21 = -3*r. Suppose -40 = -d + 8. What is the greatest common divisor of d and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + -426000.2747616.\nAnswer: -425881.2747616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 4*a - 1. Let d = -2 + 4. Let f = d - 4. Let l be (f\/5)\/((-4)\/40). Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 + 3 = 0. Is 21*(z + 12\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -19. Let j = 32.2 - t. Let n = -2.2000025 + j. What is n rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -647519, -1295080, -1942657, -2590250, -3237859?\n\"Answer: -8*t**2 - 647537*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/7, -0.8, -0.1, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**6 - 7383*c**4 + 3536*c**2 - 4*c wrt c?\nAnswer: 360*c**3 - 177192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280027*d*v**2 - 12*d*v + 8*d - 10*v - 8 wrt v?\nAnswer: -560054*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001090812 rounded to five decimal places?\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 10, 7*q - 2*q + 2289 = -4*y + 2248 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164\/9 or 17?\nAnswer: 164\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 2*l**4 - 4*l**3 + (2*l**2 + 3*l**3 - 2*l**2)*(l - 3 + 3) - 4*l**3 - 2*l**4 + 4*l**3 - 3*l**4 + 3*l**4 - 2*l**4.\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 613 + -616. What is the fourth smallest value in 3\/2, f, 2\/65, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.549267 kilometers to micrometers.\nAnswer: 8549267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/8247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - 3) + -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8860 + 266*z - 269*z + 40*z**2 - 8862 to the form m*z + t + p*z**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfgkgktdtgyykgy. Give prob of picking 1 y and 1 g.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 327383 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5264 = -8277045*j + 8277157*j for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**2 - 9*w**2 + 102*w**2 + (-6 + 2 + 3)*(-3*w + 3*w - w**2) as i*w**2 + y*w + o and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q. Suppose 4*s + 4*k + 40 = q, -45 = 4*s + 2*k + 3*k. Put 5, -1, s in decreasing order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573551.\nAnswer: 11, 23, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w - 5*q - 19 = 0, 35 = 5*w - 5*q. Suppose 5 = v + 5*x, w*v + 0*v + 5*x - 35 = 0. Let i = v - -3. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -37*p - 2862. Let u be x(-78). Calculate the highest common factor of u and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*108\/(-1701)*(-1)\/4)\/((-19)\/1026)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4 - 5562*q**3 = 0.\nAnswer: -1854, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 31 = 7*a - 2*a, 0 = -3*a - f + 17. Let p(n) = 5*n**2 - 3*n + 6. List the prime factors of p(a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.40926 and 0.07150615.\nAnswer: -3.33775385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:59 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-200)*5*(-8)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-170)*-6*296\/(-24).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-35)*7)\/9)\/((-3)\/45).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 278938143*h. Let n(g) = 8*g. Calculate s(n(w)).\nAnswer: 2231505144*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7863369 and 981?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 247, -5, 243, 11.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + t = -12290, 4*t + 7072 = 3*a - 285. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 5:03 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -7 - (7 + -4) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269295*p**3*q*w + 51*p**3*q - p**3 - 2*p**2*q*w - 331*p**2*q + 3*p**2*w + 7434*q*w wrt p?\nAnswer: -1615770*q*w + 306*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1012\/253)\/((-2)\/(-3)*(-5)\/50).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 - 14) - (-3 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 2*m - 5765. Let r = -187 + m. Suppose -1230 = -12*w + r. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -3.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128261 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 9. Determine j(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:36 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let n be 13\/(-15) + 6\/9. Let w = -0.2 + 0.3. Which is the closest to w? (a) -0.4 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 71?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssszdsszdd. What is prob of picking 1 z and 2 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:09 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - 2)\/(4\/(-2)). Sort h, 2, 0.1.\nAnswer: 0.1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5600*k**5 + 2*k**4 + 47135*k**2.\nAnswer: 336000*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-618)\/(-24) - 25)*52\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -162 + 30. Suppose 0 = -3*n - 0*n. Suppose 10 = 3*m - 4*w - 10, 5*m + 5*w - 10 = n. Calculate the highest common factor of m and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 427569.59 - 425462. Let u = w + -2096. Round u to one dp.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q*q*((q*q**(-1\/6))\/q)\/q))\/q)\/(q\/(q*q**(-2\/7)))*(q*q*(q\/(q**1*q))\/q)**(9\/8))**(-1\/4) assuming q is positive.\nAnswer: q**(89\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-52)\/14 + 3\/2 and 5735\/3230 + (-36)\/228.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -3\/14, -512519?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*k*q**2*t**2 - 5*k*q**2 + 40*k*q + 3*k*t**2 + 3*t**3 wrt t?\nAnswer: 26*k*q**2*t + 6*k*t + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 y when four letters picked without replacement from {w: 4, y: 6}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 6524 = 117*t - 30728. Calculate the smallest common multiple of 4 and t.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*5*9\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.517 - -0.017. Let w = 13.6 + l. Let f = 30 - 18. Which is the second smallest value? (a) w (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*s = 3*s + 4, 0 = 2*g + 4*s + 2. Is 8 a factor of g + 0 - (5 + -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5377.928 + -5412. Let o = 0.072 + g. Let x = o + 36. Which is the closest to 1? (a) 0.1 (b) x (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 248 = 0. Let j(k) = -k**3 - 6*k**2 - 5*k - 5. Let w be j(-5). Let p = w - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from nnqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3))\/((-17)\/(187\/66)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001737572319 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 12*p**2 + 15*p + 10. Let s be k(-13). Let o be (-70)\/(1*s\/8). What is the greatest common divisor of o and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/10)\/(-1))\/((-1)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*r**3 - 17*r**3 + 621*r - 621*r.\nAnswer: -97*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -320*j**4\/3 - 799*j**2 - 733*j - 1. Differentiate q(f) wrt f.\nAnswer: -2560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 103.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420079716 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2442757 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326.4002 - 1112.399542. Let y = q - -786. What is y rounded to 5 decimal places?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 4. Let x be s(-4). Let u be (-2)\/1 - (x - 10). Suppose -3*v + 47 = -u. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*o + 8 = -0*o, x = -5*o + 14. Let y(k) = k**2 + 12*k - 1. What is the tens digit of y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 1607\/4 (c) 0.03 (d) -1\/4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/((c*(c**(-1\/24)\/c)\/c)\/c))\/((c\/(c\/((c\/(c\/(c\/c**(1\/10)))*c)\/c)))\/c)*(c**(11\/2)*c)\/c**(-17) assuming c is positive.\nAnswer: c**(3437\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.6 and -0.058333.\nAnswer: 1.541667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -323389.664 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 789*q - 1626. Give d(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*y**2 + 32*y**2 + 3*y**2 + y**2 + 420*y as g + f*y + t*y**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a kilogram in grams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113380586 divided by 3\nAnswer: -113380586\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4505462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, q: 5, y: 4, a: 3, j: 3}. What is prob of picking 1 j and 1 q?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37476.262846 rounded to the nearest 100?\nAnswer: -37500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 5, m: 4, t: 1, w: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m**2 + 3*m**2)*(-3 + 2*m**3 + 3) + 0*m**5 + 0*m**5 + m**5 + 2*m**5 + m**5 - m**5 + (-2 + 2*m**3 + 2)*(7*m**2 - 7*m**2 + 3*m**2).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 - j + 7. Let x(k) = k**2 + k. Let b(g) = d(g) + 3*x(g). Let s = 18 - 12. Is b(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(-5 + -2*sqrt(175)) - (3 + -2*sqrt(175))*1)**2.\nAnswer: 1440*sqrt(7) + 6248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5604 and 24?\nAnswer: 11208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n - 94*n**2 - 172*n + 106*n**2 - 123*n.\nAnswer: 12*n**2 - 207*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 19. Let p = -1755 - -1740. Calculate h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 - 2 + 6 + 6*l + 5 + 0*l.\nAnswer: -8*l**2 + 6*l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/7)\/((-1)\/(-7)). Let o(r) = -r + 5. What is o(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i - 2*i - 5*i + i**2. Let p(w) = -805*w**2 + 105*w - 105. Let n(b) = -31*b**2 + 4*b - 4. Let j(u) = -105*n(u) + 4*p(u). Determine j(y(z)).\nAnswer: 35*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125 and 225.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3.462\nAnswer: -1.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67850 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -298 and 33246 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let i(y) = -309*y**2 + 186029. Give i(v(g)).\nAnswer: -1236*g**4 + 186029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 611 + 303*b**3 + 638 - 1241 + b + b**2 + b**4 in the form i + y*b + s*b**3 + k*b**4 + r*b**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1121212111 (base 3) to base 9\nAnswer: -47774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 18*r + 8*r + 8*r. Factor -8\/3 - 4\/3*d**r - 4*d.\nAnswer: -4*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500126 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/4597?\nAnswer: 7\/4597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 40 = 53*v. Put -1, v, 7 in increasing order.\nAnswer: -1, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8574.036 - -8574. Sort -5, -2\/9, g in descending order.\nAnswer: g, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + x + 13 = 0, s - 18*x - 301 = -84 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -h + 5*h, 5*h - 2 = 3*z. Let x(w) = -w + 5. Let o(g) = g - 6. Let r(t) = h*o(t) - 3*x(t). Give r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214 + -3?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*b + 315, 4*c - c - 9 = 0. Let q be 294\/b - 6\/(-60). Solve 3*f = q*u + 25, -u + f - 5 = -f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -848269, -848265, -848257, -848245, -848229, -848209, -848185?\n\"Answer: 2*r**2 - 2*r - 848269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/60 - 19*l**5\/60 - 7*l**3\/3 + l**2 - 37. What is the first derivative of d(c) wrt c?\nAnswer: 6*c**2 - 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q + 5. Let f be m(4). Let p = -33 + f. Let j be 8\/p - 383\/(-5). What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) - (-4 + (-20)\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*w + 4 = 0, -1 = -3*g - 2*w - 3. Suppose g = -4*z + 437 - 65. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -328.3 and -0.08.\nAnswer: 26.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + s**3 + 4 + 11*s - 8*s in the form d + b*s + a*s**2 + g*s**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -26394420 to the nearest 100000.\nAnswer: -26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -13*v + 97. What is q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32*m**3 - 19*m**2 + 2*m - 13. Is a(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*t = -706, -2*w + 3*t + 212 + 284 = 0. Calculate the remainder when w is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -15, -18, -1 in increasing order.\nAnswer: -18, -15, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = 0, z = 4*f - 0 + 12. Let v = 27 + z. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -1. What is the second smallest value in 3\/4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 507 - 67*b + 324*b - 289 + b**2 - 218 as g + w*b + a*b**2 and give w.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353559169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x + 12*x - 4 + 5 + (5*x + x - 4*x)*(5 - 2 - 4) - 1 - 2*x + 1 + 2 - 2 + 2*x + 42 + 23*x - 42.\nAnswer: 22*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*u = 2, -2 = v - 14*u + 13*u. Solve 26*o - 72 = v*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/3 - 15380*z**3\/3 + 9716302*z**2 + 1615382912*z\/3 + 7346268160\/3 = 0. Calculate z.\nAnswer: -49, -5, 3872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1\/3 (b) 0 (c) 5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 7 - 1)*(-4*u + u + 4*u)*(-95*u - 71*u + 15*u + 4*u) to the form y*u + l*u**2 + i and give l.\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -70. Suppose 3*z + 5*y - 32 = -z, 0 = -3*z + f*y + 24. Suppose -4 = -6*x + z. Solve i - a = 5, -x*i + 17 = 3*i - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6))\/(1*(-5)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 0.6 (b) -2 (c) -2.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (21\/(-10))\/(36\/(-30)) and 95\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + h - 7. Let p(q) = -395. Let y(u) = -329. Let a(z) = 5*p(z) - 6*y(z). What is 4*a(x) - l(x)?\nAnswer: x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*z - 15, -2*u - 10 = 3*z - 2*z. Suppose 2*d = -d. Solve r + b + 4 = -z*b, d = -3*r + b + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16197 and 162?\nAnswer: 874638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + (-4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -11 - 4. Let i be (o\/1)\/((-9)\/12). Factor -4*l - 4 + 29*l**i - 26*l**4 + 33*l**2 + 74*l**3 + 32*l**4 + 6*l**2.\nAnswer: (l + 1)**2*(5*l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -14 + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 8.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.1 (c) 1072.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 862607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969.75 rounded to the nearest ten?\nAnswer: -2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + -3 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 0.3, 154, 5, -2\/7, -0.02 in decreasing order.\nAnswer: 154, 54, 5, 0.3, -0.02, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2))\/(h\/h**(1\/5)*h*h))\/(h**(2\/7))**(1\/22) assuming h is positive.\nAnswer: h**(-1781\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/108 and -31\/594?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvrrrrr. Give prob of sequence vr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let c(b) = -b**3 + 6*b**2 + 4. Let m be c(6). Solve -n*t + 10 - 5 = 5*l, 31 = -5*l + m*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/139 (b) -2 (c) 4 (d) -1\/9 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**3 + 5*j**2 - 6. Let n(b) = 5*b**3 + 6*b**2 - 7. Calculate 5*n(z) - 6*x(z).\nAnswer: -5*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/3521 + 6563\/1686559. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 7, s: 1, u: 3, l: 6}. Give prob of sequence ls.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from llllxxxllll.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.16 - -0.36. Let y = 31.2 - m. Let j = -38.0038 + y. What is j rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 372*d - 369.\nAnswer: -3*(d + 1)*(d + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**4 + 79*l - 16*l**4 - 96*l wrt l.\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 4. Let d = -39 + 64. Let x = 18 - d. Let f = x - -11. Give y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**3 + 2*k - 1. Let h be o(1). Suppose j = 2*q - h, -3*j - q - 28 = 3. Let a = 12 + j. Sort -1, a, -2 in ascending order.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 9*f - 4*f**2 + f**2.\nAnswer: -3*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026847 to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*s**4 - 162\/5*s**2 + 108*s - 28\/5*s**3 + 135.\nAnswer: -(s - 3)*(s + 1)*(s + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5 - 775872*f**4 - 1551700*f**3 + 5431032*f**2 - 3103456*f = 0.\nAnswer: -193966, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -30. Suppose -4*o + 2*g = -m - 0, g + 9 = 4*o. Suppose 25 = -o*p + 3*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4936 - -24678\/5. Let r = -51 - -109. What is the closest to r in 4, 3, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/95, 0.9, -1\/2, 157 in decreasing order.\nAnswer: 157, 0.9, -2\/95, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 2 r when four letters picked without replacement from {r: 2, i: 2, c: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934*n**3 - 14287*n**3 - 11136*n**3.\nAnswer: -23489*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*j + 3*j, -3*y + 2142 = 3*j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28.0531 and 0.370973.\nAnswer: 28.424073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 270002851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 + 7*h + 8. Let f(y) = 2*y**3 + 7*y**2 + 13*y + 15. What is -6*f(m) + 11*i(m)?\nAnswer: -m**3 + 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 941 = 1425. Let b = -66 + 43. Let d = 7 - b. Calculate the lowest common multiple of d and w.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922737222 to the power of 1\/3, to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -10.2. Let s = -4.242 - 0.058. Let u = n - s. Round u to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4 - 44*c**3 - 68*c**2 - 298. Factor h(q).\nAnswer: 4*q*(q - 34)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22556484, 22556485, 22556486, 22556487, 22556488?\n\"Answer: u + 22556483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1778 + -2748. Is -972 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2 + 5709*p + 10. Let x(h) = 7*h**2 + 5705*h + 12. Calculate 6*v(u) - 5*x(u).\nAnswer: u**2 + 5729*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12 + (-1)\/(-6)*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = 5*q - 170, 124*p = q + 119*p - 48 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 541 and 4?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:10 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - 4*k - 4. Let t(y) = 8*y**2 + 450*y. Let u(z) = 7*z**2 + 397*z. Let c(m) = 15*t(m) - 17*u(m). Calculate -c(l) - w(l).\nAnswer: 2*l**2 + 3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 8*k + 4. Let s be x(8). Suppose -n - 4*c + s = -20, 0 = -n - 2*c + 14. Suppose 177 = n*t - 91. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 - 2*h**3\/3 - 5*h**2\/2 + 2*h. Let r(w) = w**2 - 7*w - 1. Let x be r(7). Let k = 3 - x. Determine v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.01 (b) -0.3 (c) 0.5 (d) -393 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - -4 - -1) + (-34 - -41).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 - 266?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65883218, -131766436, -197649654, -263532872?\n\"Answer: -65883218*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 + 15 = 0. Suppose 126 = g*z - 2*z. Let k = z - 10. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 30*j = 0. Which is the fourth smallest value? (a) 8 (b) -0.2 (c) j (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-52))\/(200\/(-720))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -7) + -28 + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1106\/21)\/(8\/(-12)). Let p = 200 + r. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*x = 18, 3*x - 26 - 4 = -2*r. Suppose -6*t + r*t = 4686. Let o = t - -16. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5\/4, 4, 27, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1009 plus 849?\nAnswer: 849.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1344)\/32*(-8)\/(-18)*9\/12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 17, p: 1}. What is prob of picking 1 p and 3 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 548533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5.98. Let r = -0.72 + o. Let m = 857\/4774 + 1\/434. Sort -2, r, m in decreasing order.\nAnswer: m, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3229, -1 in descending order.\nAnswer: 3229, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201\/(-134))\/(((-92)\/(-10))\/((-8)\/15))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1312951?\nAnswer: -525180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2320, -1747, -806, 503, 2180?\n\"Answer: 184*t**2 + 21*t - 2525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:49 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1238.1, -0.5, 4 in decreasing order.\nAnswer: 1238.1, 5, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 401 - -1?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 44?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4 - 26625*q**3 - 1610715*q**2 - 25758815*q - 45287850 = 0?\nAnswer: -29, -2, 5385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157894671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20179564972 + 7.9\nAnswer: -20179564964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980 - 941 = -132*u + 5*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15)*0)\/(15\/15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*n**2 - 47*n wrt n?\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 n when four letters picked without replacement from {u: 7, e: 4, n: 2, o: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -1 + (-72)\/(-24). Suppose a - l*n - 7 = -9*n, -a = -5*n + 17. Solve a*m - 5*m - 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1180223957*y**4 + 1593*y + 47166 wrt y.\nAnswer: 14162687484*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from {p: 6, d: 1, n: 2, k: 1, c: 5}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 + 2 - 12792818. Let u = t + 20192815. What is u rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 100105929655120?\nAnswer: 100105929655118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2047 and 25162.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 4. Let n(p) = 5*p + 3. Suppose l = 46 - 42. Determine l*n(g) + 3*o(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/4 - 60*v**3 + 378*v**2 - 768*v + 516 = 0. Calculate v.\nAnswer: -86, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -1 + 7*8. Let s be ((-45)\/2*k)\/(-1). Round s to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304434 divided by 33826\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let n(b) = 10*b. Let s(m) = n(m) - 5*o(m). Let d(j) = 6*j. Give d(s(a)).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 49*q**3 + 5*q**2 - 5*q. Let y(c) = -147*c**3 - 14*c**2 + 14*c. Calculate -14*s(a) - 5*y(a).\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k + 41*k - 66 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223*p**2 + 12*p + 14 wrt p?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -14)*(1 - (-11)\/(-5)). What is the greatest common divisor of 279 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyyw when four letters picked without replacement from wwwwwyyyyyyyyy.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22022102 (base 3) to base 8.\nAnswer: -13653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15074, -15120, -15164, -15206?\n\"Answer: c**2 - 49*c - 15026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p + 16. Let q = -22 + 35. Let t = 24 - q. Calculate the lowest common multiple of t and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 4. Let x be n(6). Suppose 0*z + 41 = 5*z + 4*y, 0 = -z + x*y - 3. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122 + 96 - 52*a + 10*a with respect to a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63351934 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = n - 7, 5*a - 4*n - 1 + 3 = 0. Suppose 0*t = -o + a*t - 36, -3*o - 3*t = 153. Let x = -28 - o. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 3 - -4)\/((-4)\/2302) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let g be v(-5). Let u be (-6 - 2)\/(-4) + 6. Suppose -3*y + y + u = 0. Sort y, -4, g in descending order.\nAnswer: y, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76078 - -113969. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -1 - (90 + 26 + -186)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186, -1173, -1136, -1063, -942, -761, -508, -171?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((299997 - -5) + -2)\/((-3)\/(-240)). Suppose -10*n + y = -0*n. What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1751 * 14.\nAnswer: 24514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - z + 3 = -1, f - z = 8. Which is the nearest to -2\/25? (a) 1 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 - 2.2. Which is the closest to -2? (a) -4\/41 (b) d (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 45*u**2 - 30*u + 80.\nAnswer: -5*(u - 1)*(u + 2)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 71*n - 7815. Let g be f(110). Let h(r) be the first derivative of r**3 - 10*r - 2. Let p(m) = -7*m**2 - m + 21. What is g*h(w) - 2*p(w)?\nAnswer: -w**2 + 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 - 48\/(-21). Let l = -1 - v. Let j be (160\/l)\/((-2)\/30). What is j rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 19*o + 72. Find the common denominator of (61\/o)\/((-15)\/12) and 143\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/3 (b) -1 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5732.9 times 5?\nAnswer: -28664.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 14*x**2 + 10*x + 79. Let s be c(-7). Solve -s*l = 1 + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/(1 + (-8)\/4). Let n = 91 + -57. Let h be 104\/n - (2 + 1). Which is the closest to h? (a) 3 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43417*w - 43465*w = -144 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -1, 1\/4, -17, 175?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/391 - -1526\/7429. Is m > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8*15\/(-45))\/(33\/(-24))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-21) - ((-48)\/16 + 29\/3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**2 + 9*q**2 - 4*q**3 + q**3.\nAnswer: -3*q**3 + 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 31 = -77 - 66. Solve -2*j - 3*x - 22 + 8 = 0, -3*x = -4*j + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45179*a - 45196*a - 136 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*x = 26, -9*o = -5*o + 2*x - 22. Let z = 2 + -2. Suppose z = -4*i + 3*i + o. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, x: 11}. What is prob of picking 1 x, 1 z, and 1 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 4. Let l = 109 - 57. Let u = l - 46. What is the lowest common multiple of o(-3) and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 z, and 1 j when four letters picked without replacement from {j: 5, z: 2, o: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 247 * 2\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -21 + 2 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2\/5*y**2 - 2312\/5 - 136\/5*y = 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42710, -42703, -42696?\nAnswer: -42689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.5816 rounded to zero decimal places?\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 38. Suppose -y*j - 15 = -7*j. Suppose 8*g - 4*g = -5*z + 6, 2*g = -j*z + 4. Solve 0*o + o + z = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c**4\/11 + 1932*c**3\/11 + 185706*c**2\/11 + 4661508*c\/11 - 440832 = 0. What is c?\nAnswer: -154, -128, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -3*a, -a = -3*a + n + 7. Let p = 1\/25 + 14\/25. Solve -p*i**3 + 0*i**a + 0 + 3\/5*i = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2321 or -2322?\nAnswer: -2322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let o(m) = 5*m**2 - 4*m. Let x(d) = -549*d - 7138. Let t be x(-13). Determine t*o(q) + 2*h(q).\nAnswer: -7*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2. Suppose 0 = -3*h - 10 - 8. Let c be (270\/(-3))\/(4\/h). Let r(z) = z**2 + 0*z**2 + 135 - c. Give q(r(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1453 + -1453.000000531. Round y to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 37. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1284, -1285, -1286, -1287, -1288?\n\"Answer: -l - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*a**3 - 45 + 70*a**3 + 46 + (-2*a + 0 + 0)*(-73*a + 6*a**2 + 73*a).\nAnswer: 107*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - (-178)\/14)*(-151)\/151)\/((-280)\/(-490)).\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*t - 22728306 + 4962545 - 9739948. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - b + 6, -y - 12*b + 10 = -15*b. Suppose -y*q + 20*q = 117. Suppose 32\/7*h + 4\/7 + q*h**2 = 0. Calculate h.\nAnswer: -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272112061?\nAnswer: 13, 269, 77813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42075 - 294498\/7. Suppose 9\/7*o**5 - 8\/7*o - x*o**4 - 4\/7 + 11\/7*o**3 + 19\/7*o**2 = 0. Calculate o.\nAnswer: -2\/3, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*s**3 + 24194*r**3*s**2*u - 5*r**2*s**3 - 12*r**2*s**2*u - 44742*s**3*u wrt s?\nAnswer: -12*r**3 - 30*r**2 - 268452*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/11)\/(3640\/3080).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**2 + 8*z**4 - 7*z**2 + 12*z**2 wrt z?\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-6)*4\/(-6). Suppose -6 = 3*o - 6*o. Let l be (-1)\/4 - (-4)\/16. Solve l = -3*h - o - v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 - (828\/(-1) - (-11 + 12))*53?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4795 + 9495 + 2*k**2 - 4766.\nAnswer: 2*k**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52282 divided by -3?\nAnswer: -52282\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -297731\/18 + 16533. Let b = -27\/544 + 34243\/4896. What is the common denominator of b and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 13) in base 2?\nAnswer: -10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -186, -270, -338, -384, -402, -386?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -36. Let b be 42\/27*3*(m + -126). What is the common denominator of (-556)\/(-442) + 12\/b*-7 and -53\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*n**4 + 462*n.\nAnswer: 3228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619335, -619340, -619345, -619350, -619355?\nAnswer: -619360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -837145, -1674294, -2511443?\n\"Answer: -837149*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/3 at least as big as 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a - 15. Give f(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/160)\/((-54)\/432))\/(-33)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -1213057.\nAnswer: 23\/1213057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.42, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 9:29 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/5 - 2442783*j**2\/5 = 0.\nAnswer: -2442783, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112245 (base 7) in base 8?\nAnswer: 762533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-251.21.\nAnswer: 25.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.05259.\nAnswer: 0.26295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002739 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 15309, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (3 + -2)*1. Let d = -11.2 - -13. Let n = d + -1.3. What is the nearest to t in 6\/11, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Calculate the remainder when 9 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 1, n: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1414 + -825. Calculate the greatest common divisor of k and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t - 6*t - 3*t)*(0*t + 0*t - t)*(-57*t + 109*t - 20 - 48*t).\nAnswer: 80*t**3 - 400*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 8.999904. Round g to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/8 - -1\/8. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**2 + 4*u**2 - 7*u**2 in the form i*u**2 + d*u + x and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 3*x - 20. Let y be 4\/2*7\/2. Let s be j(y). Suppose 29 = -7*u + s*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3308, 27927, 94756, 224903, 439476?\nAnswer: 759583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5\/5 + 144*r**4\/5 - 1866*r**3\/5 + 3312*r**2\/5 - 1587*r\/5.\nAnswer: -3*r*(r - 23)**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((4\/10)\/(-2)). Suppose 3*v - u + j = -2, -5*u + 16 = 4*v. What is the tens digit of (21\/v)\/(18\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)\/a**(-8))\/(a\/a**(-4))**(-5) assuming a is positive.\nAnswer: a**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(147))*-3)**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-6 + 5 - 2)*(-15 + 15 + 33*n)*(-1 + 1 + n).\nAnswer: 99*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1576 = 3*k, 65*k - 2114 = 61*k - 5*t. Is k at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5 + 156136*s**4 + 1560096*s**3 - 33730344*s**2 - 531088164*s - 1934497728 = 0?\nAnswer: -39024, -9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 152, 154, 156, 158, 160, 162?\n\"Answer: 2*z + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + ((-117)\/(-13))\/(20\/15). Put 190, r, -0.3 in increasing order.\nAnswer: -0.3, r, 190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3\/4 (b) -2 (c) 87 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5591287 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-13 + -2 - -10)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*g + 96, -507*g + 118 = -2*p - 512*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -16*w**3 - 156*w**2 + 32*w + 60. Let v be x(-10). Calculate the greatest common factor of v and 33740.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 367 + -370. What is the nearest to -4\/3 in -1, 3\/8, 0, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 50 = 4*b + 5*u, -3*u - 57 = -5*b. Which is bigger: 38\/3 or b?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Suppose 4*z = z + 6. Let r(y) = -y**2 + 0*y**2 + 0*y**z. Give l(r(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14455 less than 28.39?\nAnswer: 27.24545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157614, -315233, -472862, -630501?\nAnswer: -788150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 6\/(-9). Suppose 9*r - 6*r - 12 = n. Calculate the highest common factor of 12 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 16}. What is prob of picking 1 s and 2 n?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-9)\/((-27)\/(-42)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*o + 58 - 58)*(-3*o - o + 3*o) - 2*o**2 + 239*o - 239*o + (3*o + 3*o - o)*(-3 + 3 - 2*o) + o**2 - 5*o**2 + 2*o**2.\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1240*o**2 + 3*o + 6. Let z be d(11). Let h be -3 - (4\/(-2) + z). Round h to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 17.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-10) - (-4)\/20. Let r(n) = n**2 - n. What is r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101110111110111101111?\nAnswer: 101110111110111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/59978 and 49\/348.\nAnswer: 10436172","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2)**(-41))**(-2))**(1\/2) assuming a is positive.\nAnswer: a**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*n = 12 + 2, 2 = -d - 2*n. Factor 1 - 7 + 3*q + 3*q**d + 0.\nAnswer: 3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 575819563597075.0000127 + -575819156044315. Let p = 407552671 - t. Let f = -89 - p. What is f rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 + 1 + (-31 - -37) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/131 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 3\/12*0. Let q(i) = -2*i**3 + 5*i**2 - 1. Let z(h) = 3*h**2 - 6*h**2 + h**3 + 0*h**3. Give y*z(r) + 3*q(r).\nAnswer: -r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128905, -128901, -128887, -128857, -128805, -128725, -128611?\nAnswer: -128457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2*((-49)\/7)\/(-42)*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 9. Suppose -p*j + 8 = -6. Find the second derivative of -8*k - 4*k**2 + 27*k + 24*k**j wrt k.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 112. Let i(l) = 11*l - 71. What is the smallest common multiple of i(z) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384915072 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*t**2 + 5*t + 2*t**3 - 3*t - 98*t**2 + 2 + 3*t - 3*t in the form y*t**2 + w + u*t + m*t**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048205 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47524.09 + 47129. Round g to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004178649708 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -304.67843 and -0.67.\nAnswer: -305.34843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 d when four letters picked without replacement from {d: 2, h: 1, q: 1, i: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/30*4\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08539593 - 100.3126.\nAnswer: -100.22720407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 - 4*j**2 + 2. Let h be k(1). Suppose 7*g = 11*g - 12, 4*g = 2*o + h. Let w = 0 - 4. Put o, w, 1 in ascending order.\nAnswer: w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 + -341.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079052297 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -1977671.\nAnswer: -1977671, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -4*n - 29. Suppose -4*p + l - 6*l = -54, 0 = 5*p + 3*l - n. What is the remainder when 63 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1989*k - 4979. Does 35 divide s(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v - 16 + 11 + 17 + 2 - 15. Suppose 2*y - 12 = -y. Determine u(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, -1\/12, 0 in descending order.\nAnswer: 25, 0, -1\/12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*b + 2626 - 7147, b - 3405 = -3*v. Let a = 1988 - v. List the prime factors of a.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -47*y**3\/3 - 215*y**2\/2 - 49*y. Find the first derivative of v(a) wrt a.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwwdwwwdwdww. Give prob of picking 4 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000343782 rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*y**3 + 3*y - 3*y - 71*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.250091 and -16064.94.\nAnswer: -16065.190091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -960*m**3 - m**4 + 399 - 200 - 199 + (2 + 1 - 4)*(4*m - m**4 - 4*m) + m**4 + 3*m - 3*m.\nAnswer: m**4 - 960*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)\/(2\/(-4)). What is the smallest common multiple of ((-15)\/(-7 + 4))\/1 and 21\/y - (-1)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19163 bigger than 6.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20095 or 18837?\nAnswer: 18837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**8\/1120 - l**5\/6 + 2*l**3\/3 - 17*l**2 + 3. Let d(a) be the third derivative of v(a). Let o(t) = -3*t. Give o(d(p)).\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + (-19 - -14))*5. Sort -912, 2, k.\nAnswer: -912, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*t + 35 = 0, -2*m - 7*t + 3*t + 10 = 0. Solve -m = -4*s - s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 13*g**2 - 39*g - 27. Determine p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a + 30, -5*a = -2*y - 38. Let t(s) = 3*s + 8. Let j(w) = -2*w - 8. Determine y*t(o) - 5*j(o).\nAnswer: -2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*q - 9, 1972 - 1971 = q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-18))\/(-13*5\/(-585)). Solve 0 = 5*n - m + 19, -h*m = -3*n + 2*m - 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -7 (b) -22\/7 (c) -10 (d) -320 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*r = 42, 0 = -m - 748*r + 749*r + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -186 (b) 1\/5 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.2. Let q = 0.47 + -0.07. Let b = f + q. Is -0.5 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + 9*n - 3. Let b(q) = q**2 + 11*q - 4. What is 4*b(j) - 5*i(j)?\nAnswer: 19*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (253 - 266) + (-6 - -14 - 78)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21579535, -21579493, -21579451, -21579409?\n\"Answer: 42*f - 21579577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 737310338*l**2*n**3 + 41867*l*n**3 - 1923*l*n**2 - 2*n**3 wrt l?\nAnswer: 1474620676*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10345\/633 - 2\/211. What is the common denominator of 49 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 388 = -5*g. Let u = -5131\/36 + 1345\/9. Calculate the common denominator of u and g\/(-10) + (-4)\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 22. Suppose 4*a = 3*o + a - 3, -3*o - 5 = -a. What is the least common multiple of (-1 + -2)*8\/o and x(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 15178 - 13*h**4 - 15176 - 2*h**3 + 2*h**3 + 3*h**2 - 9*h as c*h**2 + u*h + b + f*h**3 + a*h**4 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5747, -11495, -17243, -22991?\nAnswer: -28739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 40*s**2 - 32*s + 96. Is 10 a factor of q(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -2*g + a, 3*g - 5*a = 6*g - 252. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(sqrt(77) + 1*sqrt(77) + sqrt(77))*6)\/((sqrt(7)*-1 - sqrt(7))*-5 - (sqrt(112) - -1*sqrt(112)))*-2.\nAnswer: -540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m + 3*m - 38448 = 0. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -4 (c) 1.9 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -9. Suppose 0 = j - 2*j - 4*o + f, j - 4*o = 43. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s**2 + 4*s - 9. Let h(p) = -21*p**2 - 3*p + 13. What is -4*g(d) - 5*h(d)?\nAnswer: 13*d**2 - d - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 118*y**2 + 10*y + 7. Let m(l) = -103*l**2 - 8*l - 6. Calculate -5*k(w) - 6*m(w).\nAnswer: 28*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Suppose 4*v + 3*i = -27, 5*v - i + 60 = 4*i. Let g be (v\/l)\/(3\/12). Solve y - 4*y = -2*h - g, -3*y + 18 = -5*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -16*s + 11*s. Suppose -r = 2*d - 3, 4*d = 2*r + s*r + 13. Suppose 2\/7*z**d + 2\/7*z**3 - 1\/7 - 1\/7*z**4 - 1\/7*z - 1\/7*z**5 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14817418 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(18 + -12). Let q = 0.15 + -0.65. What is the closest to 2\/3 in x, -4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r + 11*r + 10*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 16. Let s be (3 - 9\/5)\/(3\/15). What is the third derivative of 2*t**s - a*t**2 + 3*t**2 - 3*t**2 + 4*t**2 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/21*l + 2\/21*l**4 + 0 + 16\/21*l**2 - 10\/21*l**3.\nAnswer: 2*l*(l - 2)**2*(l - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 2:34 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -339, 24 in decreasing order.\nAnswer: 24, -2, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k - 20950 = 0. Let s = k + -75517\/18. Let b = -439745\/32574 + -2\/16287. What is the common denominator of s and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31983 and 1869?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 13\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 5 - 1 - 5.\nAnswer: -8*g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152519 is divided by 465.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 3*n**2 + 0*n**2 - 3*n**2. Let q(v) = -4*v. What is k(q(m))?\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4748 - -4556.7. Round a to the nearest integer.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 6*y + 7. Suppose 2*k - 10 = 5*x, 0 = -5*k + x + 4*x - 5. Let m be p(k). Suppose m*c = 6*c - 8. Solve 2*u = 2*f + 4, u + 1 = 2*f + c*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012469 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6368.467 rounded to the nearest integer?\nAnswer: -6368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c + 17a9a?\nAnswer: 179ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 3*w - 301. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byshbbxhbxhbyxbbbq. Give prob of sequence yb.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740836655 rounded to the nearest one million?\nAnswer: 1741000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((4 - 6) + 13 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12) - sqrt(12) - sqrt(12))**2 - (sqrt(384)\/sqrt(8) - sqrt(3)).\nAnswer: -3*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32957 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30)*4*6\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:53 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 4*d)*(1 + 1 - 3) - d - 2*d + 2*d + 0 + d + 0 + 21 - 23 - 92*d + 1 as k + x*d and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:24 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 30 = -115 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116317, -465253, -1046813, -1860997, -2907805, -4187237?\nAnswer: -5699293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38151 is divided by 3230?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25244502 (base 6) in base 3?\nAnswer: 1112101212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 25*x - 29*x = -19, 3*s + 27 = 2*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 218 = -4*v, v + 4*v - 421 = -2*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5641141?\nAnswer: 11, 23, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30369 is divided by 2986.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 1 - 3*t + 1 - 10*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 37. Let m be q(-13). Let u = m + -122. Let j = 32\/69 - -3497\/345. Calculate the common denominator of j and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {x: 4, i: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -2*p**3 - 49*p**2 + 2*p + 1. What is the units digit of s(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/40 + 102\/10. Solve 5 = 3*t + 2*i, 3*i = -3*t - 2*i - q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -70*h**2 + h. Let v be s(-1). Let r = v - -70. Calculate the remainder when (-168)\/196*(-50 - r) is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*s - 1617*s = 52272 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/140 + v**4\/28 - 12*v**3\/7 - 4*v**2 + 4*v. Factor c(k).\nAnswer: 3*(k - 4)*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -26. Suppose 6 = 2*q, -5*o = -14*q + 19*q + 5. Let c = 3 + -6. Sort o, c, j in ascending order.\nAnswer: o, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-8))\/(103\/6180). Calculate the greatest common factor of q and 350.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 26*w**2 + 4. Let n(m) = -39*m**2 - 4*m**2 - 3 + 18*m**2. Let y(h) = 5*n(h) + 4*r(h). What is the first derivative of y(c) wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/641?\nAnswer: -2\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 890311940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 50. Let f be -1 + 8\/6 - (-5)\/r. Let k be 9\/2*2 - f - 4. Solve 2*c + 3 + 17 = -5*u, -5*u + 3*c = -k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 10*o - 0. Calculate the smallest common multiple of o and 332.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 2, g: 13, k: 3}. What is prob of sequence khhk?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyy when four letters picked without replacement from pyyyypyppypp?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h - 6. Let c be (-3 + (1 - 0))*1577\/38. Let p = 76 + c. Let w(n) = -n**2 - 7*n - 5. Calculate p*w(s) + 6*l(s).\nAnswer: s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 + (-3 + -3 - -28). What is the highest common factor of b and 1375?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7149 + 30087.258?\nAnswer: 37236.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-120))\/(4\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*z - 171*o + 173*o + 28, 11*o = 41*o - 120 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) 13 (c) -3\/2 (d) 0.124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: What is the next term in -170, -161, -138, -95, -26, 75, 214?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*w + 13. Let p = -9 + w. Suppose -6*n + 44 = 2*q - 2*n, p = -3*q - n + 56. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810, 805, 800, 795, 790?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 15*h**2 + 33 - 20.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 0.7. Sort j, 3, -2\/7.\nAnswer: -2\/7, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -129, -191?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 51*x - 620. Let h be b(-31). Let o(l) be the first derivative of -1\/2*l**2 + 12 + h*l. Let i(m) = 4*m - 2. Calculate i(c) + 6*o(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d + 1. Let j be w(3). Let y = j + -18. Suppose 2*h + y*n + 1562029 = 342045, h + 610008 = 2*n. Round h to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -18 + 0*x**3 + 0*x + 2*x**4 + 31\/2*x**2. Find the second derivative of b(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 84*i**2 - 25*i - 38. List the prime factors of g(15).\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -431 + 428. Let t(g) = 184*g**2 - 13*g - 2. Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312) + -5*(sqrt(312) + 2*sqrt(312)))\/(-3*sqrt(12)*-1))\/((sqrt(20) - (sqrt(320)*1 + sqrt(320)))\/sqrt(10)*-4).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7 = 3*q, -3*t - q + 6 + 3 = 0. Find the second derivative of -26*a + 4*a**4 + 9*a**t + 16*a wrt a.\nAnswer: 156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -6*a + 112. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1564*a**2 + 0*a**3 + 1564*a**2 + 30 - 2*a**3.\nAnswer: -2*a**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 + 5*o**2\/2 - 2*o - 4. Let h be s(-6). Let w be (-4 + h)*2\/(-6). Solve 2*k + w*k - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**4*p**3*y + 637*m**4 - m**3*y + m**2*p**3*y - 3*m**2*p*y + 4807*m*p**3 + 20*m*p**2*y - m + p**2*y wrt m.\nAnswer: 216*m*p**3*y + 15288*m - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -4 + -5 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*a*l*q**3*w**2 - 5*a*l*q - 2*a*q**3*w**2 - 2*a*q*w**2 - 87*l*q**2*w - 5*l*w**2 wrt q?\nAnswer: -1170*a*l*w**2 - 12*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5444382 - 0.007\nAnswer: 5444381.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2356*h**2 + 2993*h**2 - 11159*h**2.\nAnswer: -10522*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1976886 and 0.1?\nAnswer: -197688.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -10. Let b = u - -15. Let i = b - 7.3. What is the closest to -2 in i, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837.46 rounded to the nearest 10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.3 (b) -16.5 (c) 26\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ed + -1e?\nAnswer: -20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. What is the least common multiple of x(4) and (16 - 8)\/((-8)\/(-22))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 54*y**2 + 181*y + 573. Let s be o(-57). Let 2\/7 - 2\/7*h**2 + 2\/7*h**s - 2\/7*h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, z: 2, m: 3}. What is prob of picking 2 z and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*494.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.4 (c) -263\/7 (d) -2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 9*z - 5. Give j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/(-250)*(-30)\/63*14\/39?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 9*n = -3*x + 89, -11*n = -8*n + 83*x - 369 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*d - 6*d = 14, 4*t - 18 = d. Solve t*v + 0 = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 105864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - k - 7)*(2*k**2 + 2*k**2 - 6*k**2)*(k**2 - 5*k**2 + k**2).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1375843*u. Let i(h) = 4*h**2. Determine g(i(w)).\nAnswer: -5503372*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.77 - 35.72862. Round h to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3522.84 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.831828mg to grams.\nAnswer: 0.000831828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391878 by -43542.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7*q - 1 = -2*q, 0 = h - 4*q - 11. Solve 3 = -3*b, 7*b - h*b = -t - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005 + -59771.\nAnswer: -59771.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/67 + -339\/134. Let h(m) = m**3 - 6*m**2 + 2. Let k be h(6). Let r = -426049\/9 - -47339. Put r, k, s in decreasing order.\nAnswer: k, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/16 and 101\/3150?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*w + 2*w. Solve -u - 10 = -w*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 + 18394*j - 404789\/2 = 0.\nAnswer: -36799, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/4)\/(261\/2697)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e7cc + -7?\nAnswer: 2e7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.388 or 945?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:38 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 107*t**2 + 3934*t - 1158. Determine o(-136).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22038 - -33661. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49\/7 + -25 - -1*3. Let m = 19 + t. Solve -m*s - 15 = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/7 + 215*j**3\/7 + 2250*j**2 + 59500*j + 245000 = 0.\nAnswer: -70, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2. Let t(o) = -418 + 222 - 211*o + 196 - 560*o. Determine r(t(g)).\nAnswer: 2377764*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -556.92 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -26758*1\/(-5)*10\/4. Let m(l) = -5*l + 2*l - 13384 - l**2 + v. What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 72 - 28. Let h be (1\/(3\/8))\/(9\/(-216)). Let o = h - -82. Calculate the least common multiple of s and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 44 = 16. Suppose -25 - 45 = y*t. Let h(o) = 6*o**2 + 7*o + 5. Let z(w) = -3*w**2 - 3*w - 2. Determine t*z(g) - 3*h(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + (-3 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-280)\/(-120) - 11\/5)*288\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-116))\/(2\/24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*s + 29*s - u - 115, 5*s + 3*u - 97 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -3.1, 11411, 5?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 - 2 - (-15)\/(-3)) + (-36)\/(-3))*-4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -48, 1, 0.4, 1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.9959 millennia to decades.\nAnswer: 21399.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 6. Suppose -5*x + 3 = -y + 2, y - k = x. Suppose -3*l = -2*i - 4, -3*l - i - i - y = 0. Let c(z) = z**2 - 5. Give c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6741.618m to nanometers.\nAnswer: 6741618000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14694*t - 15317*t = 33642 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - 45*u - 22. Let t be q(-7). What is the closest to -1 in -1\/6, t, 0.016?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 9*y - 10. What is o(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1918 and 11484.\nAnswer: 22026312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8474068*h. Let o(n) = n**2. Calculate s(o(c)).\nAnswer: -8474068*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 398611 (base 10) to base 5\nAnswer: 100223421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqq when three letters picked without replacement from ppppppcqdqppckkpc.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 5*n**3\/3 + 3*n**2\/2 - 6*n - 800. Let x(s) = 5*s**2 + 4*s - 7. Determine 4*c(y) - 3*x(y).\nAnswer: 5*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 - 1594*n = 0. What is n?\nAnswer: 0, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6866 by 2.\nAnswer: -3433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/((-12)\/(-54)) - 2. Which is the second biggest value? (a) w (b) 3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -599, -1378, -2455, -3836?\nAnswer: -5527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 + -21907.\nAnswer: -21928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 968551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.530112 + -0.01.\nAnswer: 51.520112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*q - 16 = -2*p, 3*p = q + 12. Let a = 4 - p. What is the smallest common multiple of 8 and (0 - a) + (-21)\/(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482642.\nAnswer: 2, 241321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148831\/43029 - 218\/63. Let f = -1345\/14343 + y. Let v be (5 - (-730)\/(-150))\/(6\/10). Which is the closest to -0.1? (a) v (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-2) + 2 - (-140550)\/(-23425)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 33. Let a be y(-15). Let o be (a\/10)\/(69\/(-230)). What is the common denominator of (-93)\/2*((-1156)\/288 - o) and 61\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -150795 - 8?\nAnswer: -150803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - ((13 - 11) + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -11. What is the remainder when d is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f - 81*f - 2*c = 79*f - 227*f - 0*c - 12, -7*c + 19 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8486, 15, -5, 2, -2, -1 in decreasing order.\nAnswer: 8486, 15, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2355233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30940 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. What is the second derivative of -3*j**3 - 5*j - j**t + 2*j wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13642 - -13639. Let p = 0.35 - -0.05. What is the closest to 6\/13 in m, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/90*-25*-15. Let h = r - -50. Solve -5*b + h*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -37, -133, -331, -667, -1177?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19342 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 2. Let y be ((-20)\/j)\/(24\/(-162)). Let n = y + 22. Which is the second biggest value? (a) n (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:06 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 11*h. Let q be x(-11). Let f = q + 0. Suppose -z + 2*o + 569994 = f, 3*o = -5*z + 8*o + 2849985. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 18950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -388631.\nAnswer: 30\/388631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10690702, -21381417, -32072142, -42762877, -53453622, -64144377, -74835142?\n\"Answer: -5*n**2 - 10690700*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/5 + 52*p**4\/5 - 92*p**3 + 24*p**2 + 1818*p\/5 + 1188\/5 = 0. What is p?\nAnswer: -33, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 103 = -5*c. What is the common denominator of c + 6 + (-3498)\/360 and -103\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 3 + 0*v**2 + 9*v**3.\nAnswer: 9*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:51 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -5, 3, -3, 13 in increasing order.\nAnswer: -45, -5, -3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/8 + 5)\/((19 + -4)*(-102)\/(-36))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -15c4f?\nAnswer: 15c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1473*a = -4466*a - 291011 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -23*h + 2. Let q be o(-2). Suppose -3*b - 4 = -2*b. Let n be 3*1 + (-116)\/b. Calculate the highest common divisor of q and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2052 = 4100. Suppose 16*g - f = 9439. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 73. Let g be c(27). Calculate the greatest common divisor of g and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 234.63 and 39.\nAnswer: 9150.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -1680?\nAnswer: -165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 + 3*x + 68*x**3 - x - 282 - 66*x**3 + 8 in the form m*x**3 + s*x + q + n*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*y - 12 = 382*y. Let x(h) = -h**2 - h + 1. Let u(g) = -4*g**2 - 3*g + 3. Let v(f) = -u(f) + 5*x(f). Let a(z) = -z + 1. Calculate y*a(w) - 2*v(w).\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2210 or 2209?\nAnswer: 2209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-8)*1\/(-2). Let n = -57683\/48 - -1202. Let v = n - t. Sort v, -1, 4\/7 in descending order.\nAnswer: 4\/7, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(19)*-2)*4 - (-2*sqrt(171))\/sqrt(9).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 5. Let s(d) = -1. Let l(n) = -1. Let y(c) = 4*l(c) - 2*s(c). Determine 3*b(w) - 7*y(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000263389 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 903358.8 grams?\nAnswer: 903358800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let b = -299\/435 + 3\/145. Put h, 0.1, b in descending order.\nAnswer: 0.1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 630?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-30) - (574\/(-30) - 1). Suppose 0 = -4*s + x, -3*b = 2*b - 5*s - 25. Solve 0 = -2*p + 2 - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 14*y**2 + 63*y - 207. Is m(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 20*u - 4. Let g(x) = -8*x. Determine g(o(a)).\nAnswer: -8*a**2 - 160*a + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -180*q + 166. Let f be u(-7). Calculate the greatest common factor of 46 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.225*3.\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -390 in -0.3, 5, -1\/30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-15))**(-1)\/((p*p*p**(3\/5))\/(p*p**(4\/9))))**(-1\/3) assuming p is positive.\nAnswer: p**(-578\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514, -962, -1290, -1492, -1562?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 2, r: 3, d: 1, e: 3, l: 1}. Give prob of picking 1 y and 2 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/(18\/60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 158\/54 + (-6)\/(-81). Let n(q) = 2*q - 2. Let f be n(2). Suppose 3*a - 4*i = f, -a = i - u*i. Solve -l = -c + 1, a = -0*l + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*397.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*q - 2*w + 14 = -63*q, -5*q + 40 = 4*w. Determine c, given that -6\/5*c**q + 3\/5*c**5 + 3\/5*c**3 + 0*c + 0 + 0*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/10)\/(4\/110). Let t = -4227 - -4189. Let q = t - o. Calculate the lowest common multiple of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -491 + 228. Let y = -257 - p. Solve 7*r - y = -4*a + 6*r, a + r = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {y: 2, c: 5, z: 13}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 157. Let m be l(10). Let f = -1395\/11 + m. Let v = -0.2 + 0.1. Sort f, v, 5\/2, 30 in decreasing order.\nAnswer: 30, 5\/2, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 287, 208, 75, -112, -353, -648, -997?\n\"Answer: -27*s**2 + 2*s + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a127 + -3?\nAnswer: -a12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.47885 + -0.37885. What is the fourth biggest value in q, -1\/4, -20, -3\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-225) + (-3)\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 696 divided by -24\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4975965 is divided by 26752?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324866 + 2*c - 19*c**3 - 162444 - 2*c - 162422.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 232*m.\nAnswer: -2*m*(m - 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 6*o**3 + 10*o**3 + 3*o**3 - 2*o**3 - 15*o**3. Let k(m) = -3*m - 3. Let q be k(-3). Let s(r) = -8*r**3 + 13*r. Determine q*s(j) + 26*a(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-5) - 22\/55. What are the prime factors of ((-4)\/r)\/(1\/(-84))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.15, 1, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3096555 and 9065.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -172*z - 422. Calculate the remainder when h(-10) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15768979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23*(-4)\/93 + 1. Let i = q + 2819\/186. Let m = 215459\/20 - 10770. What is the common denominator of m and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 8. Let s be d(-8). Suppose s = -5*a + a + 20. What is the smallest common multiple of a and (-14 - -16) + (0 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*d + 10, -d - 5*b + 13*b + 32 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21221814155\/131 + -20967406482615177\/129429572. Let f = -3020\/1777 - j. Let p = -10\/417 + f. Find the common denominator of p and -22\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 3, 6410 in increasing order.\nAnswer: -7, -5, 3, 6410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8700 and -17\/8.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3268812 is divided by 3268807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4995 - -5008. Solve -14*j - 4*f = -d*j - 2, 2*j + 9 = 5*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (-20)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-55) - (2 + (-27)\/(-33))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Let c(n) = -6*n**3 + 3*n**2 + 3. Let v(m) = -5*m**3 + 2*m**2 + 2. Let r = -22 - -19. What is r*v(x) + s*c(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 618617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -6*t, 5*u + 250*t - 17 = 88*t + 82*t + 85*t + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177369 - 178755 = 63*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.0723368 - -5816\nAnswer: 5814.9276632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 464617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 8*t**2 + 6*t + 8. Let k be m(7). Which is the biggest value? (a) 0.4 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 2)*(2 + 2 - 2)*(-4*k - 3*k + 5*k) as f*k + d and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 568429057 to the nearest integer?\nAnswer: 23842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 18*k = -15*k + 1, 63*o - 5*k + 141 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22193277?\nAnswer: 3, 2237, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 14 + 2\/3*z**6 + 0*z**5 - 9\/2*z**2 + 0*z**3 + 0*z**4. What is the second derivative of a(i) wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5)*-3)\/((-8)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*r - p - 10 = 402*r - 204*r, 0 = -5*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*t*y**3 + 80*f**2*t - 228522098*f*t*y**3 + 3*f*y - 287357*f + 2*t*y wrt y?\nAnswer: 6*f**2*t*y - 1371132588*f*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let o = 206 - 620\/3. What is the nearest to 2\/9 in o, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/6 + 69*u**3\/2 - 1241*u**2 - 9640*u. Differentiate r(l) with respect to l.\nAnswer: 4*l + 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19654*o**2 - 43 + 43 + 35696*o**2 to the form w*o + d*o**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470*l = -465*l. Suppose l = -m - 0*m - 7*m. Solve m = -12*p + 20 + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2932629996?\nAnswer: 2, 3, 23, 461977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 81, 4, 162.\nAnswer: -16, 4, 81, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-33) + 106\/22. Let u be 3031\/795 - (i + -2). Let k = u + -2\/159. What is the second biggest value in k, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 125 + -73 + 1 + -29?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17558f (base 16) in base 13?\nAnswer: 417092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x*x*x**(-2\/3)*x*x*x)*x**(-2\/5))**(-41))**7 assuming x is positive.\nAnswer: x**(24682\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*l + 5*l. What is the remainder when 63 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmd when three letters picked without replacement from {v: 6, d: 2, m: 11}.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864881.9 millennia to years.\nAnswer: 864881900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 5*o**2 + 5*o**2)*(2*o + 0*o - 3*o) + (-3*o**2 - o**2 + 3*o**2)*(7 + 6*o**2 - 7).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q**2. Let n(s) be the second derivative of s**6\/360 - 3*s**4\/4 - 3*s**2\/2 - 35*s. Let k(h) be the third derivative of n(h). Give k(g(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6358568 to the power of 1\/2, to the nearest integer?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19378 + 10088. Let k = a + 9232.027. Let t = k + 58. Round t to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002505914441 rounded to six dps?\nAnswer: -0.002506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 56202*545.4\nAnswer: 30652570.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*n + 6. Suppose 0 = -t + 2*g - 7, -n = -3*t - 2*g + 17. Calculate the smallest common multiple of 5 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 15. Which is the third biggest value? (a) u (b) -2\/7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/((3 + -9 + 4)\/(-13)). Calculate the highest common divisor of v and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + d**3 + 0*d**3 + (5*d**3 - 4*d**3 + 0*d**3)*(3 + 1 + 1) + (0*d + 39*d + 9*d)*(d**2 - 5*d**2 + d**2).\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*h**3 - 472*h**3 + 714*h**3.\nAnswer: 76*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -396, -4, 8.\nAnswer: -396, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 307 in -13\/2, -0.12, -4, 2\/9, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + i**2 + 3*i + 3. Let m be f(-1). Solve n + l = -0*l + 3, -2*n - 14 = -m*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3388, 338, -4 in decreasing order.\nAnswer: 3388, 338, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*w - 36002 = 13042. Solve -3*u + 3*o = 24, -2*o + w = -3*u + 115 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113684 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 6410082.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*n + 2 = 3*y, 4*y - 2*n - 18 = 0. Solve y*l = -3 - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417267598?\nAnswer: 2, 11, 47, 403547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from yyllyylllll?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-4 - sqrt(1584))*2 - -6*(sqrt(1584) + (sqrt(1584) - sqrt(1584)*-5)) - (sqrt(1584)*2*-3 + 4*(-3 + sqrt(1584))))**2.\nAnswer: 9792*sqrt(11) + 1831248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/6 - 40795*c**4\/6 + 1918999*c**3\/6 - 23483621*c**2\/6 + 3600903*c = 0.\nAnswer: -40842, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/(-212)*2\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101010 - -1101101000011110?\nAnswer: 1110010001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:00 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53178 and 894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22)*13*(-14)\/(-182)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19506 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 + -113. Let u(c) = -c**2 + 6*c + 2. Let i be u(4). Calculate the greatest common factor of i and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4699 and -1399736159.\nAnswer: -1399736159.4699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 116 (b) -4 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 - 2367*a + 460950 = 0.\nAnswer: 350, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38261?\nAnswer: 38261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -399, -396, -393, -390, -387?\n\"Answer: 3*n - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/21 - (0\/1 - 1). Suppose 5*l + 3*j = 22, -11*l + 12 = -13*l + 4*j. Factor 1\/3*s**3 + h*s + 1 + 5\/3*s**l.\nAnswer: (s + 1)**2*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let w(k) = -37*k**2 - 15*k. Let a(m) = -2*i(m) + 2*w(m). Find the second derivative of a(t) wrt t.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 310, 1345, 3452, 6967, 12226?\n\"Answer: 56*x**3 + 200*x**2 + 43*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -9.1. Let h = -8 - x. Suppose -15 = -c - 4*c. What is the closest to -1\/3 in 0.4, c, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 4*o**2 + 5*o**2)*(-o**3 - 3*o**3 + 2*o**3) - 2*o**5 - o**5 + 2*o**5 + (-3*o - 3*o + 5*o)*(4*o**4 - 4*o**4 + o**4) + 4*o**5 + 0*o**5 - o**5.\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 474?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - y + 21 = -4*y, -3*p + 4*y + 26 = 0. Calculate the remainder when (-102)\/(-2) - -1*p is divided by (-4)\/((28\/189)\/((-2)\/3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1053 or 769?\nAnswer: 1053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:53 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-12) - 5\/(-60)*-17?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**3 + 176*h**2 - 168*h**2 + 4*h**4 - 3*h + 3*h = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 - 4110*d**3 + 358032*d**2 + 2296800*d = 0. What is d?\nAnswer: -6, 0, 100, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99639327 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12376 + 33316 = -461*w - 15018 for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o**2 - o**4)*(-4*o + 6*o - 3*o)*(0 + 7 - 3).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171 - -193 - (-34 + (1 - 3))) + 7?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 699 - 645. Let m(q) = q**2 - 21*q + 97. Calculate m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290226 divided by 48371?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*v - 4*u - 12, 4*v - 82 = 5*u. Let h = 28 - v. Let c be 5\/h + 30\/(-44). Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275356 (base 16) to base 10\nAnswer: 2577238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejaetjaaeatijtjah. Give prob of picking 1 t and 1 a.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**4 + 23154550*n**3 - 26806589821340*n**2 - 160840372492920*n = 0.\nAnswer: -6, 0, 2315458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11306*d + 67827. Determine q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010011 (base 2) to base 3.\nAnswer: -112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**22)\/w)\/w)**(-7\/6) assuming w is positive.\nAnswer: w**(161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 10*f + 16. Let j be q(8). Suppose g - 2*g = -4*x - 12, j = 5*g - 3*x - 26. Is 118 + 2 + g\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 4, v: 4, a: 4, b: 2, q: 2}. Give prob of picking 1 a and 1 q.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1135\/8 (b) 0.2 (c) -0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 30*o**3 + 3*o**2 - 3*o - 2. What is p(-3)?\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y + 0*y + 16*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -20. Let p = 25 + s. Sort 0, p, -8 in decreasing order.\nAnswer: 0, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Suppose 3*g = -3, 5*g - n + 3 = -2*w. Solve 6*f = w*f - 3*a - 23, 3*f + 4*a = -26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5157\/12 + (-27)\/36. Let f = x - 417. Solve f*a - 9*a = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.814837179 to two decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (225 - 225 - 11*n**2)*(7*n**2 - n**2 + 3*n**2) to w*n**2 + c*n**3 + r*n + v*n**4 + l and give v.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60757917*h**2 - 30378966*h**2 - 30378949*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 739 + -736. Let j(k) be the first derivative of -1\/3*k**3 + 2*k**2 - 4 - k. Give j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7946 and 73\/2.\nAnswer: 7946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001075205 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*a + 116*a = 190 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/6 + (-14406)\/(-252). Let x = 272 - y. Calculate the remainder when x is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*l - 55*l - 9*l + 8 + 113*l - 17 + 12.\nAnswer: 304*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 6 - 5 + 5 + 6*w**2 - 7*w**2. Suppose 2*m + 19 = 2*y + 7, -3*m - 18 = -y. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 262?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + v - 92 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*((-741)\/364)\/(-19))\/(-12)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 587, 122?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 314 - 306. Does 19 divide n\/(-20) - 17585\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40944587 is divided by 1949?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 - 139 = -37*f - 339 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*y - 434 - 407 + 113 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1040264 and -59\/272.\nAnswer: 2080528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 3958*f**2 - 11861*f - 15820.\nAnswer: -(f - 3955)*(f - 4)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * -2809010.\nAnswer: 78652280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1 + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 931*q**2 + 49958*q - 17047. What is t(-54)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2691658 decades in months?\nAnswer: 32.299896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h**2 - 5*h + 7. Let i(z) = -5*z**2 - 3*z + 4. What is -6*b(p) + 11*i(p)?\nAnswer: -p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(0 + -4 + -2*sqrt(1620) + 0)**2.\nAnswer: 864*sqrt(5) + 19488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(51)\/sqrt(3)*1)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-455)\/(-104)))\/(1\/(-5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-10)\/90*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220524 (base 12) to base 4.\nAnswer: -2003303230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132302202 (base 4) in base 15?\nAnswer: 7a08d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -209, -316, -423?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293\/75 + -126\/25. Find the common denominator of -70\/3 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 38\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h\/((h\/((h*h**(2\/15)\/h)\/h))\/h)))\/h)*h*h**(1\/5)\/h)**(-23) assuming h is positive.\nAnswer: h**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-280))\/(3\/(-3)). Which is the biggest value? (a) 0.1 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 4578.\nAnswer: 4\/2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 24*b - 3. Let h(t) = -9*t**2. What is h(l(i))?\nAnswer: -5184*i**2 + 1296*i - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 9. Let k be (-40)\/(-6) + 10\/(-15). Suppose 16 = -k*i + 64. What is the remainder when b is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12001 (base 5) to base 16.\nAnswer: 36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 13*z - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309997.8069911 - 309998. Let z = 461.193 + -461. Let g = z + k. What is g rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 14, 11, 4, -7?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21235 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 - 6*c + 17. Let n be (-20)\/(-4)*(-16 + 15). Let k(x) = 7*x**2 - 5*x + 18. Determine n*m(s) + 6*k(s).\nAnswer: 2*s**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*o + 78. Suppose 0 = -5*l + o + 143. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 175559*f - 4688. Is n(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -125*u + 0 + 0 + 0 + 2. Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*w = 17, 0 = r - 5*w + 3*w + 3. What is the second derivative of 4*z**5 - 9*z - 17*z**r + 20*z wrt z?\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.936821044908472 - -1368131333.936819004908472. Let g = h + -1368131293. Let i = g - -24. Round i to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312706951.\nAnswer: 31, 97, 103993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/7, 0.1, -2\/15, 0.83, -0.4, -0.079?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1600*i**2 + 595*i**5 + 0*i**3 + 0*i**3 + 65*i**2 + 1294*i**5 wrt i.\nAnswer: 113340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1454 in -0.9, 233, 3\/2?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -1117, -1101, -1071, -1027, -969, -897?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2356 (base 9) in base 4?\nAnswer: -123120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 237*i - 168. Give j(1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18421 + -9812. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 9*h + 7. Let q(t) be the first derivative of 2*t**3\/3 + 2*t**2 + 3*t + 50. Give 6*j(w) - 14*q(w).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15207 by -4186.\nAnswer: 15207\/4186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3032*l**2 - 762*l**2 - 762*l**2 - 761*l**2 - 752*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290140 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -384*c**2 + c - 2. Let p(v) = -9*v. Calculate p(h(t)).\nAnswer: 3456*t**2 - 9*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsxsxppppxs. What is prob of sequence xp?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 19 = -4*l, 4*j + 737 = 21*l + 793 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -744 - -1365. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3529879 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 8 (b) -16 (c) 2\/15 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-5*(-9 - -8). Let h(i) = 3*i**3 + 7*i**2 - 9*i - 4 - 1 - 2*i**3. Let v(g) = g**3 + 4*g**2 - 5*g - 3. Calculate j*v(r) - 3*h(r).\nAnswer: 2*r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.6 + 17. Which is the third biggest value? (a) 4 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32 + 0 - (2 + 0). Calculate the greatest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 3 + 6 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.0146, 2, -1.3 in descending order.\nAnswer: 2, -0.0146, -0.3, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1942802 - 6439*c + 2*c**2 + 1942802 to m + b*c**2 + f*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11755*c*f*l**2 + 301*c*f*l + 3*c*l**2 + 3*c*l + 3*f*l**2 + 3314*f*l + 4*l**2 - 10*l wrt l?\nAnswer: -23510*c*f + 6*c + 6*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 8. Let y be t\/4 - (-6)\/(-4). Calculate the remainder when 24 is divided by y\/(-8) - 153\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**3 + 87*c**2 - 4*c - 141. Let d(w) = -w**3 - 22*w**2 + w + 35. Let y(m) = 9*d(m) + 2*r(m). Is 44 a factor of y(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - 4\/((-4)\/1)*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*d + 57723 + 22833 = 0. Calculate the greatest common factor of d and 548.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**0)\/g)**17*(g\/g**(4\/3))**(-2\/9))**(1\/3) assuming g is positive.\nAnswer: g**(2\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-657)\/(-63) - 10)*1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -3 - 1) + 0 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52223 (base 7) in base 5?\nAnswer: 402211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 10098057?\nAnswer: -10098053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/75536 and 105\/830896.\nAnswer: 830896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -55*y**2 - 29*y + 82. Let b(x) = 57*x**2 + 35*x - 82. Let f(k) = 4*b(k) + 5*o(k). Differentiate f(v) wrt v.\nAnswer: -94*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104334 (base 5) in base 10?\nAnswer: 50594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzqf when four letters picked without replacement from {f: 2, d: 1, q: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1017, -1010, -999, -984, -965, -942, -915?\n\"Answer: 2*p**2 + p - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65172936 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16705 (base 11) to base 5\nAnswer: -1222404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97447325.\nAnswer: 5, 101, 38593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -12. Suppose -4*o - 4 = -2*o + 4*p, -2*o - 13 = -5*p. Let g = o + h. Solve 4*d - g = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27652 and 9510504?\nAnswer: 294825624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 14. Let h be d(14). Solve 2*z - z + 4 = h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2708*k + 112 - 1350*k - 2*k**2 - 1358*k - 692*k**4 wrt k.\nAnswer: -2768*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1043 divide 157135691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 3101.64729?\nAnswer: -3101.62729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcw when three letters picked without replacement from ccwcw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = -0. Let q(x) = -x. Let z be q(s). Suppose -z*d - 14 = -4*d + 2*w, -20 = -5*d + 2*w. Solve 0 = -c + d, -c + 18 = -3*o + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 828 and 71622?\nAnswer: 143244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2 + 63*p - 223. Let x be j(7). Sort x, -8, -15 in decreasing order.\nAnswer: -8, -15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-8)\/720*12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -40*v**4\/3 - v - 46. Let p(m) = m. Determine p(t(o)).\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12564672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 22*g**3 + 7*g**2 - 5*g + 1. Let w(h) = -h**2. Calculate 2*l(o) + 14*w(o).\nAnswer: 44*o**3 - 10*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 68*g**2 + 369*g + 43. Calculate p(62).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**2 + 637 - 637.\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/2*(-3)\/(-9). Factor 7*h + 11*h + 5*h**2 - h - u*h.\nAnswer: 5*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r. Let i(z) be the second derivative of -z**5\/10 - z**4\/4 + z**3\/2 - z**2\/2 + 33*z. Let x(y) = 2*i(y) + 3*w(y). Give x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3560 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 6\/11, 1\/2, -10\/99?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 + 17*l**2 + 7*l. Let y(m) = -3*m**3 + 9*m**2 + 4*m. Let a(t) = 4*c(t) - 7*y(t). Let u(s) = -s**3 + 2*s**2. What is 4*a(p) - 10*u(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 + 23807*y - 23807*y.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 3308 = 3385 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 + 1. Let s be m(1). Let k(f) = f**3 + 5*f**2 - 3*f - 5. What is the least common multiple of 22 and k(s)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k**3 - 3*k + 2. Let f be u(1). Solve 19 = 2*v + f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 44 (c) 0.2 (d) 0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 52 = 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -797614 divided by -3?\nAnswer: 797614\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -3, 82.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 1\/24*t**4 + 0 + 1\/120*t**6 + 4*t**2 + 0*t**5 + 0*t**3 + 0*t. Find the second derivative of r(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -37. Suppose 0 = 2*t + 2*t - 128. What is the greatest common divisor of o and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3 - 12 - (-11 - -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -405?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(1584)*4 + -4 + 2.\nAnswer: -8 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 13. Suppose -8 = -2*u + 6. Let k be o(u). Let m(j) = -9*j**2 + 2*j + 7. Let z(n) = 3*n**2 - 2*n + 0*n - 3 + n**2 + n. What is k*m(g) - 14*z(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 52 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.957*3\nAnswer: 2.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852989161.\nAnswer: 17, 2179, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Suppose 3*x - 19 = -5*g, -r*x + x - 33 = -5*g. Suppose -2*u - 3*t + 5*t = -62, g*u - 2*t = 158. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -1 - 5. Let p(x) = -x**3 + 4*x**2 + 5*x - 2. Let m be p(5). Let b be (d - -17)\/3 + m. Solve 0 + 15 = b*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44029772 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(4\/80*(-180)\/8)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -566 + 306. Let s = t + 263. Solve s = 2*d + v, -2*d - 2*v = 3*d - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, -13 in decreasing order.\nAnswer: 1, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 10*n - 114. Calculate the greatest common divisor of 152 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1098*0.4917.\nAnswer: -539.8866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-9)*h*h))\/(h**(2\/11)*h))\/(h**(4\/7)*h*h\/(h\/(h*(h*((h*h**12)\/h)\/h)\/h*h)*h)*h) assuming h is positive.\nAnswer: h**(-597\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from kkkkddkrkkkrkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -250325, -4 in ascending order.\nAnswer: -250325, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:19 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - f**2 + 2. Let i(g) = 483*g**3 + 230*g**2 - 460. Determine -3*i(o) - 690*l(o).\nAnswer: -69*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 134435, 134442, 134449, 134456, 134463, 134470?\n\"Answer: 7*t + 134428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 3*a**4 + 0*a**4 + a**4 + 0*a**4 + 0*a**4 + (-a - 2*a + a)*(-4*a**3 + 2*a**3 + a**3).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 2. Let h = -0.2 - m. Let k be (-18)\/80 - (3 + (-42)\/16). Sort k, h, -2 in ascending order.\nAnswer: -2, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 1 = 3*n, a - 2*n = 12 - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 21*k**2. Let h(f) be the second derivative of 39*f + 0 + 0*f**2 + 1\/3*f**3. Calculate h(p(m)).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d - 64. Let j be l(-5). Let v = 8 + -9. Sort 0.3, 0.5, v, j in descending order.\nAnswer: 0.5, 0.3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3412, 6826, 10240, 13654?\n\"Answer: 3414*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -42, -46, -50, -54?\n\"Answer: -4*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1257.884 from -183391.\nAnswer: -184648.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 19, 16, 13, 10, 7?\n\"Answer: -3*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.3 - 3.3. Let f(o) = -o + 6. Let l be f(8). Which is the smallest value? (a) v (b) l (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*a**3 + 48*a**3 - 16*a**3 - 15*a**3 - 5 - 4*a + a**4 to z*a**4 + y + i*a + w*a**2 + l*a**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-16)\/10 + 1). Let i(b) = -51*b - 180. Let u be i(-4). Find the third derivative of -11*h**5 + u*h**2 + 11*h**5 - 19*h**y wrt h.\nAnswer: -1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 4*d**2 + 4*d**2)*(-3 + 3 - 2*d) - 2*d**3 - 2*d**3 + 2*d**3 - 159437*d**2 + 586*d**3 + 159437*d**2.\nAnswer: 588*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u*u\/(u**(-10)\/u)*u\/(u\/(u\/(u*u\/(u\/(u**4\/u)))*u))*u**1)**(-1\/53) assuming u is positive.\nAnswer: u**(-17\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155a5 (base 13) to base 9.\nAnswer: 61528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14915101.\nAnswer: 53, 347, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1 + (-33)\/(-3). Let z be (141\/188)\/((-6)\/32). Let r = z + q. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 2*h)*(-1 + 1 + 2)*(-3*h**2 + h**2 - 2 + 0*h**2).\nAnswer: -12*h**3 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111376\/69 + -1614. What is the nearest to s in -1, 0.1, -4, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-3)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1))**(-29)*(n\/((n\/(n\/((n\/(n**(-1)\/n))\/n)))\/n))**32 assuming n is positive.\nAnswer: n**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6890.392 milligrams in kilograms?\nAnswer: 0.006890392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1009109.4 months?\nAnswer: 84.09245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -488 - -489. Is -3\/301 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8632995 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*r = 0, 4*z + 70 = -4*r + 74. Which is the third biggest value? (a) z (b) 4 (c) 2.15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 16265, -0.1 in descending order.\nAnswer: 16265, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 9*t + 15 = 0. Suppose 5 = -5*b - 3*f, -4*f + 1 = -2*b - t*f. Calculate the least common multiple of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/120 + q**5\/15 - q**4\/4 + q**3\/6 + 2*q**2. Let k be n(-5). Solve -2 = 4*i + k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(7)*-2 - sqrt(7)))**2 - (5 + sqrt(7) + sqrt(63))) + (5*sqrt(49)\/(sqrt(35)\/sqrt(5)))**2.\nAnswer: -10*sqrt(7) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 + 21 + -43 + -66 + 9\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.48 + -63.523. Let v be ((-3)\/(-2))\/(4 + -1). Is c greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(121) + (1*sqrt(121)*-6 - sqrt(121))))\/((sqrt(704) - (1*sqrt(704) + sqrt(704)))*5 - sqrt(704)).\nAnswer: 25*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -103, -3348, -18.5?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 2*k**2 + 7*k. Let z(q) = 6865*q**3 + 18*q**2 - 56*q. Determine 8*w(j) + z(j).\nAnswer: 6881*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22311113 (base 5) to base 16\nAnswer: -3041a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.81 - 0.11. Let p = w + 0.3. Let f = -2.5 + p. What is the third biggest value in -1\/4, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 31, 4 in descending order.\nAnswer: 31, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o - 49. Determine f(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 31241392?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 1. Let v = 2108 - 2111. Let l(n) = -4*n**2 - 2. What is v*o(i) - l(i)?\nAnswer: i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 107*y**4\/24 - 12934*y**2. Let l(a) = -a. Let t(z) = 5*z. Let c(v) = 9*l(v) + 2*t(v). Give c(b(j)).\nAnswer: 107*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5028 + 0.0028. Let b be (-3)\/((-22)\/(-4) - 1). Put b, 0.3, -5, f in descending order.\nAnswer: 0.3, b, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uagabbnbbabx. What is prob of picking 1 b, 1 n, and 1 a?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 204825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 5*j. Let s be v(-4). Let y = 2 - s. Let a be 4*(15\/10)\/3. Sort -4, a, y in decreasing order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = c + h - 22, 5*c - 2326*h + 2334*h = 209 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2581, -722, -1, 1 in descending order.\nAnswer: 2581, 1, -1, -722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23202511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25118347.12 - 347.\nAnswer: 25118000.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221326\/13 - -16990. Which is smaller: -36 or u?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 21. Let q be (-2)\/((-33)\/(-303)*-2). Let u = q + x. Put 2, 0.4, u in decreasing order.\nAnswer: 2, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 622 - 635 - (-45 - (-2 + -1 - -2)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(49\/3)*(-2)\/(-1)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-9)\/(-12)*(136\/(-51))\/8\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = -64*a - 799 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:13 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -25 + 70*f + 27 - 51*f + 22*f. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -264*y**2 + 363*y - 1089. Let j(t) = -t + 3. Give 2*b(d) + 726*j(d).\nAnswer: -528*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/q**(-2))\/q*q*q)\/q*q**(3\/7))\/(q**9\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(-302\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g\/(g**(-2)*g)*g*g*g))*g**(1\/7) assuming g is positive.\nAnswer: g**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.921 - 28.379. Let y = d - -29.2. Does y = 6\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.04, -5, -0.3, 14 in descending order.\nAnswer: 14, -0.04, -1\/7, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a factor of 634819682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p - p**2 + 1 + 15 - 2*p. Suppose -7 - 187 = -3*t + 2*x, -4*x - 264 = -4*t. What is the least common multiple of v(0) and t?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 10*u**2 - 5*u - 9. Let p be l(9). Suppose -15*y - 132 = -p*y. Solve 3*b + 8 = y*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1127.3 + -1127. Let s = 3.6 - 4. Which is the fourth smallest value? (a) 4 (b) 1\/5 (c) f (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32508 = -890*b - 613*b + 600*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -2 (c) -48 (d) 5329\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 138.8 (b) -62 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423203.\nAnswer: 11, 79, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = -3*b, 3*b = -4*k + 8 + 13. Let i(j) = 0 - j**k - 1 - 2*j + 4*j**2 + 0. Suppose 2311*x = 1993*x + 636. Calculate i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 933?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330 - -328. Suppose 2*l = 6*l - 40. Let q be 14\/4 - 5\/l. Sort f, -1, q.\nAnswer: f, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362\/21 less than or equal to -499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -602987 and 29026897?\nAnswer: 29629884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40079343 to the power of 1\/2, to the nearest integer?\nAnswer: 6331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 978560 rounded to the nearest ten thousand?\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 183*v**3 + v - 184*v**3 - 2*v**2 to the form g*v + d*v**2 + j + s*v**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 - 384932*k**3 + 46153440*k**2 - 1845625600*k + 24604928000 = 0. Calculate k.\nAnswer: 40, 96113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 77427.\nAnswer: -30970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43689626 divided by -2299454?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*q**3 - 11\/2*q**4 - 29*q + 31\/2*q**2 - 1\/2*q**5 + 12.\nAnswer: -(q - 1)**3*(q + 2)*(q + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Suppose -11*p = 13*p - 216. Let c be 12\/p + ((-10)\/(-15))\/1. Determine j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from eectnceccttetcnece.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9.23. Let t = x - 1.29. Let z = t + 0.06. Which is the biggest value? (a) 1\/4 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -8225.\nAnswer: -29\/8225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 3*n = -440. Calculate the common denominator of n\/36 + 4\/(-1) and -6\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + u - 3*u)*(2 - 3 - 2)*(0 + 1 + 1)*(13 - 46 - 48).\nAnswer: 1944*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-6) - 1\/3. Let x(o) = 6 + 6*o**r - 2*o + 6 + 9*o - 5 - o**3. What is the units digit of x(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 1)\/(11\/(88\/(-992))). Do -1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*r + r = 118, 0 = -q + 2*r + 26. Let w = -72 - -69. What is the remainder when q is divided by w\/(-2)*112\/12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 0 + 2\/9*a**4 - 32\/9*a**3 + 10\/3*a**2 + 0*a = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 632 and 29058728?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 6. What is the units digit of (y - -2) + (-34)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/85 - -577\/85. Let v = -58463\/120 - -3853\/8. What is the common denominator of v and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Let i(q) be the third derivative of 0*q + 0 - q**r - 1\/60*q**5 + 1\/6*q**4 - 2\/3*q**3. Calculate i(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 10. Let s be f(5). Suppose -3*d + 0*d - 4*i + 105 = 0, -s*d + 149 = -2*i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 4*n. Let s(a) = -a**2 + 4*a - 1. Let j(d) = -2*s(d) - 3*w(d). Let k = -51 + -92. Let i = 147 + k. Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/15)\/(4\/6). Suppose 1 - 25 = -w*d. Suppose 3*q - 7*q = -2*r - d, 0 = -q - 4*r - 3. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2907735707.07 + 4\nAnswer: 2907735711.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k - 41 + 1210 = -351 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let h be (0\/(-2) + (-10)\/u)*-1. Suppose 14 = -2*d + 5*p, h*p - 12 = 2*p. Which is greater: 9 or d?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2) + 1 - 2941\/323) + 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/929 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -12, -10, 6, 42, 104, 198, 330?\n\"Answer: k**3 - 2*k**2 - 7*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x)\/(x*x**(-12))*x**12*x*x**6*x assuming x is positive.\nAnswer: x**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/12*105\/98.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -2, -1\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45098.48 centuries in months?\nAnswer: 54118176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*r - a, -55*r + 1 = -54*r + 4*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-9)*q))\/(q**(-1\/2)*q))\/(q*q**(-1\/4))**(6\/19) assuming q is positive.\nAnswer: q**(157\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 7*v - 11 = 4*v, 0 = a + 2*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9156, -18805, -28454, -38103?\n\"Answer: -9649*d + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**5 - 521*z**4 - 193494*z**3 - 631816*z**2 - 685304*z - 246447 = 0. Calculate z.\nAnswer: -197\/2, -9\/7, -1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -24*i + 60*i. Solve 4*h = -i + 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**3 - z**2 + z + 1. Calculate the remainder when 93 is divided by a(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1178.95 + -1179. Sort -1\/8, -0.1, f.\nAnswer: -1\/8, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 802 = -5*t, -2*z - 7 = -1. Calculate the common denominator of t\/40 + (-5 - (-46)\/10) and 322\/36 - (1 - 0).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 27*p**2 - 41*p + 46. What is o(-10)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3a841 (base 15) to base 7\nAnswer: 1410415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -17.9. Which is the closest to -1? (a) -3 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-15) + 14\/5. Let p = 667 + -667.6. Sort u, p, -5 in descending order.\nAnswer: u, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102532*w**3 - 248492 with respect to w.\nAnswer: -307596*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13414523 is divided by 1916358.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -9475049.\nAnswer: 9\/9475049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -17?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67680 and 2088?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 + 2 = 0, 0 = 2*l + 3*n - 7. Suppose 2*d - p = 15, -2*p - 27 = -l*d - 9. Let t be (3\/(-18))\/((-3)\/d). Is t at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - (-4895)\/44. Suppose -3*x = -t + 50, -3*t = -0*t + 4*x - q. Calculate the remainder when 119 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 1200 = -10*t - 0*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/12 + 4*i**3\/3 + 9*i**2. What is the derivative of n(g) wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/9)\/v**(-4\/7)*(v*v**(1\/3)*v)**(-12\/11)*(v**(2\/13)*v*v**(2\/3))\/(v**(1\/3))**38 assuming v is positive.\nAnswer: v**(-117499\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8633809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2979?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29779 and 11737?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 394, 999, 1830, 2887?\n\"Answer: 113*m**2 + 266*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.5. Let u = -0.2 + w. Let h be 1\/2 + (-38)\/60. What is the smallest value in u, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119674 is divided by 119439.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:15 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 196.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 386 + -171. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544274 divided by 19.\nAnswer: -28646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15*l**3 - 3*l**2 - l - 1. Is 7 a factor of r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -32*j**3 + 12*j**2 + 38*j + 10. Is h(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11477222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/40)\/((-2)\/12). Suppose m - 5*m + 26 = 5*y, 4*y - 4 = m. Suppose -2*u - 3*z + 10 = -9, 4*u + m*z - 36 = 0. Solve 0 = -u*f + c*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3997864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39734.33 nanograms in micrograms?\nAnswer: 39.73433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53841 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*r - 303 = 5*r, -5*r + 285 = 4*k. Let a be (-50)\/4*((-1716)\/65)\/11. What is the greatest common factor of k and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 15*y**3 + 512*y**2 + 34*y**3.\nAnswer: 18*y**3 + 512*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34093.2146 and -0.4?\nAnswer: 34092.8146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-3*1\/2). Let b(l) = l**3 + l + 1. Let w(t) = -5*t**3 - 5*t**2 - 9*t - 5. Let s(p) = 4*b(p) + w(p). What is s(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3984 is divided by 332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 + 1560*n**4 + 12656*n**3 + 31776*n**2 + 25472*n = 0. What is n?\nAnswer: -4, -2, 0, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237864401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**5\/60 - 7*h**4\/12 + 2*h**3 - 151*h**2. Calculate g(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 9. Let b(k) = -3*k + 9. Give -6*b(d) - 5*l(d).\nAnswer: 3*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - (-3 - -1) - (9 + 38 - 53)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + r + 1, 11*r - 9*r + 10 = 0. Let d be c\/5 + -11 + 285\/25. Let u(b) = -2*b + 6. Determine u(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjjjbbjjjj. Give prob of sequence bjb.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8122800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 2*r + 37*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.34 (c) 7 (d) 60 (e) -0.51 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -364*0.03\nAnswer: -10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 234 + 6*h - 421 + 238 + 10*h**2. Is v(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26604 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2*5)\/(sqrt(12) + sqrt(972)*-1) + (sqrt(190)\/(sqrt(20)\/sqrt(2) + sqrt(10)) - ((sqrt(76) - sqrt(19) - sqrt(19)) + 3 - sqrt(19))) + -2)**2.\nAnswer: -55*sqrt(19)\/2 + 2699\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116 + -1*12\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15611*w**3 + 12715*w**2?\nAnswer: -93666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3122, -2, -1, -5, 272 in increasing order.\nAnswer: -5, -2, -1, 272, 3122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2184)\/672)\/((((-6)\/4)\/3)\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02310497863 to four decimal places.\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 115*y = -119*y + 74, y + 3*y = 16 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 9. Suppose 5*o - d = 0, 0*k + 13 = 4*k + o. Let u(q) = 144*q - 1. Is u(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2 (c) 1 (d) 103\/6 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 632 + -2?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5196 - -5351. Calculate the remainder when 242 is divided by r.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52096.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -124. Let n = u - -69. Which is the second smallest value? (a) n (b) -2\/7 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -5*s**4\/24 + 1625*s**2. Let b(n) = -168*n. Calculate b(c(q)).\nAnswer: 840*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 29*s**2 + 20*s - 647. Let g be t(29). Which is the second smallest value? (a) g (b) 3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n**2 - 6*n + 6. Let s(k) = -21*k**2 - 13*k + 14. Let v(j) = -13*h(j) + 6*s(j). Let g(b) = 3*b**2 + 5. Give -6*g(c) + 5*v(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + -24. Let f = -880.2289 - -821.226. Let b = r - f. Round b to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -7*v**6\/15 + 11*v**5\/60 - v**4\/3 + 5*v**3\/6 - 5*v**2. Let d be j(9). What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 106080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**5 + 12*x**4 - 12*x**3.\nAnswer: 3*x**3*(x + 2)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*i + 34*i - x + 5, 5*i - 67 = 2*x. Solve 2*q + i*q = 52 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -32, 5, 3, -1280?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15 + 10. Let z(k) = -k**3 + 4*k**2 + 6*k - 3. Let g be z(s). List the prime factors of (2*(15 - 2))\/g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2673 and 2699973.\nAnswer: 29699703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(((((n*n**7*n)\/n)\/n)\/n*n)\/n)*n))\/(n\/(n\/n**(-6\/5)))*(n*(n\/(n*(n**8*n)\/n))\/n*n)\/n**(-4) assuming n is positive.\nAnswer: n**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -369, -820, -1593, -2796, -4537?\nAnswer: -6924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -30, -68, -122, -192, -278?\n\"Answer: -8*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 7, 8, 5, -2, -13, -28?\n\"Answer: -2*q**2 + 11*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-5 + 9 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.62 and -395.8094663?\nAnswer: 394.1894663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -56*j. Let w(y) = y. Determine -l(m) - 6*w(m).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**6 - 688*w**5 - 22*w**2 - 53 wrt w?\nAnswer: 840*w**3 - 41280*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/37 (b) -5\/3 (c) 119.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4946*c*r**4 - 44*c*r**2 + 3*c*r - c - 12449*r**4 + 2*r**3 + 2*r**2 - 74054 wrt r.\nAnswer: 118704*c*r - 298776*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 155984?\nAnswer: -3\/155984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = x - 33, 111 = 4*x - 7*s + 2*s. Let w = 31 - x. Factor 0 + 0*q + 1\/4*q**w.\nAnswer: q**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9689 + 12*y**2 + 9689 - 14*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {w: 5, v: 1, i: 1, d: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 298, 3, -47\/4, 0.7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3845*f**5 - 2487625*f**4 - 401075240*f**3 + 418005180*f**2 + 797700960*f - 18895680 = 0.\nAnswer: -324, -1, 18\/769, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 3. Let j = k - -1. Let v = j - -4. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -413*c**2 + 60*c - 295. Let x be w(4). Is -6664 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -10 (b) -3 (c) -119 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eflecellffefnefcce. What is prob of picking 1 c and 1 e?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/3, 0.2, 4380?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.566 - 0.216. Let j = -0.12 + 7.12. Let g = j - v. Round g to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 13, s: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-121)*(-11)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from {g: 13, p: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (10 + 18 + 3 + -25)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 + 75. Let s = r - -33. Let j = -78 - s. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 15*d**2 + 15*d + 18. List the prime factors of h(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 9:26 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 2*q + 5*n, 193*n - 62*n + 5 = 2*q + 69*n + 61*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y - 184 - 114 + 302. Determine t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2921\/21 - -139. Let a = -113\/330 + 1\/110. What is the biggest value in a, q, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21093\/25 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 2. Suppose -3*u - 3 = 3*f, -3*u - 3 = c*f + 3*f. Suppose -12 = 6*l - 2*l + 4*x, -5*l + 5*x = 35. Sort l, 5, u in descending order.\nAnswer: 5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a + 1 = w, -4*w + 0*a + 2 = -4*a - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -400795 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 709, 1262, 1983, 2902, 4049, 5454, 7147?\nAnswer: 9158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 1\/300*w**6 + 7\/45*w**3 - 7\/450*w**5 + 0*w - 1\/60*w**4 - 35*w**2 + 0. Factor q(x).\nAnswer: 2*(x - 1)*(x + 1)*(3*x - 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 1\/4 (c) -8 (d) 0.06 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opp when three letters picked without replacement from {o: 11, p: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106\/23 + -1133\/161. Which is bigger: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75868.92 litres to millilitres.\nAnswer: 75868920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7064134 and 2849?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1561, 13034, 44153, 104740, 204617, 353606, 561529?\nAnswer: 838208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -5. Suppose -10 = -a + k. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*h + 2 + 1, 4*h = -3*w - 4. Suppose -4*f = -w*x - 4*x - 124, 0 = f + 2*x - 37. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144, -136, -124, -108?\n\"Answer: 2*g**2 + 2*g - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 243672*m**3 - 241326*m**3 + m**2 - 154*m - m**2 wrt m?\nAnswer: 14076*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 28 = 113. What is the remainder when 29 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/254 and -17\/5.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2291, 10003, 23137, 41693, 65671?\n\"Answer: 2711*q**2 - 421*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x - 93 = 0. Suppose x*o = 30*o + 92. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -36*t + 50. Give b(-8).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 0*a**3 - a**3 - a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 26*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63070201*v**2 - 63070201*v**2 - 2 + 130*v**3.\nAnswer: 130*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-12)\/((-8)\/(-2))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 573 + -403. Let v = o + -169.541. What is v rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428315999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*v = -0*v - 44, -161 = -4*p + v. Let t = 21391 + -21319. What is the smallest common multiple of t and p?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/3, -2\/7371, -8, 1\/2, 1 in descending order.\nAnswer: 1, 1\/2, -2\/7371, -14\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 273*g - 2. Let t(h) = 8*h + 1. Calculate -r(m) - 4*t(m).\nAnswer: -305*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23302 and 27694.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.05. What is the third smallest value in o, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 679061 to the nearest 10000.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(30)\/(-1*sqrt(640)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/14 - (-4)\/(-14). Let r = 254 - 1272\/5. Which is greater: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 53 = -37. Suppose 1136 = 8*f - 0*f. Suppose 0 = -12*u + 10*u + f. What is the remainder when u is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from hwqcqqqhqchhhnqhqq?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.9591699 to two dps.\nAnswer: 33.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*b + 0*b + 1517 = 0, -3*a + 5*b - 1145 = 0. Let x = 566 + a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84*(-1)\/(-2)*-1*18*8\/(-144)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 230?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5289, 7379, 9469, 11559, 13649?\nAnswer: 15739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 2*s**2 - 2*s + 6. Let b be d(-4). Let w be b\/108 - (-61202)\/12. What is w rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let r = 258\/23 - 1829\/161. What is the second smallest value in 13, t, r, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -12 in decreasing order.\nAnswer: 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 18. Which is smaller: -8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63447687 divided by 5.\nAnswer: -63447687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 14*b**2 + 2*b + 37. Let x be z(-14). Solve 140 = -x*y - 61*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 15 + 28 - 28. Let i be s(9). Calculate the highest common factor of i and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = -4*y + i, 7*y - 2*y + 4*i - 141 - 118 = 181 for y.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-15))\/((-107)\/321)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*((58 - 53 + 41)*(-3 + 7 - 2) - 4 + 3 + 3)*(-3 - 1 + 3)*(-x - 5*x + 4*x) to the form h*x + k and give h.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let l(q) be the first derivative of -5*q**3\/3 + 6*q - 1. Let d(y) = l(y) - 2*p(y). Differentiate d(n) wrt n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*k - 0*b - 22, 4*k + 5*b - 50 = 0. Let y = 10 - k. Suppose -2*n - 3*m + 8 = 1, n - 5*m - 10 = 0. Solve -5*a + 0 - n = y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -34. Let z = 5.4813 + -0.4813. What is the third biggest value in q, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 - 7*a - 1. Let g be s(-5). Suppose 5*m = -3*v + 5, -5*m - g = -5*v + 26. Let z(d) = -2*d + v*d - d + 7 - d. What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 58\/139, 5, -2\/7?\nAnswer: 58\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + (-10)\/(-5)*1. Solve 0 = -n*u + w - 1, -19 = -2*u - 2*u - 5*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2376 and 6960.\nAnswer: 689040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -105?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus 220410.9113?\nAnswer: -220410.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - v**2 - 367292348*v - 3 + 2 + 1 + 367292348*v.\nAnswer: -6*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuuuuwww. What is prob of sequence uuw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125\/3 - 41. What is the nearest to k in -12, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2939.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(78) + sqrt(78)*1)*-4)\/((sqrt(6) + (sqrt(168)\/sqrt(4))\/sqrt(7) + (sqrt(6) - sqrt(96)*-4 - sqrt(6)))*-1).\nAnswer: -32*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 18*g**2 + g + 10. Let b be y(-18). Let m = b - -4. Is (-1)\/2 + (m - (-5915)\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862786145?\nAnswer: 5, 13, 251, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -1, 2, 3.8, -5 in increasing order.\nAnswer: -5, -1, 2, 3, 3.8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 3, -0.063 in descending order.\nAnswer: 111, 3, -0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138319 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8947 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-5) + -11 - -5. Let r(u) = -u**2 - 11*u - 20. Let k be r(v). What is the nearest to k in 1, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*q - 28, q - 2 = -2*q - 4*n. Solve 4*f + 1 = v + 3, -q = -5*v + 4*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0893951 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**3 + 8*p**2 - 11*p + 3. Let f(s) = s**3 - s**2 + s. Let n(r) = -6*f(r) - j(r). Suppose 0 = -5*z + 9 + 6. What is the units digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2 - 68774952*u + 394166168550192 = 0 for u.\nAnswer: 11462492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f**3 - 9*f**3 - 4*f**3)*(-4 + 3 + 2) + 0*f**3 - 4*f**3 + 6*f**3 in the form r + b*f**3 + d*f**2 + y*f and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10*o = -1265. Suppose 179 = 2*i - o. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-2))\/((-910)\/260). Which is the nearest to v? (a) 0.5 (b) -0.5 (c) -13\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/(-3))\/((-104)\/858). Let f = n - 1788\/13. Let i = -85\/123 + 1\/41. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/((-15960)\/70))\/((-1)\/208*-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40972053637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8411882.\nAnswer: 2, 23, 182867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 4*q**2 - 53*q + 110. What is the units digit of m(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c - 90. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98493156*b**5 + 21*b**2 + 1080522*b - 1?\nAnswer: -5909589360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2. Let c(f) = -5*f**2. Let k(u) = -15*u**2. Let s(p) = -17*c(p) + 6*k(p). Calculate s(a(x)).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -70*s**3 - s**2 - 3*s + 1. Calculate i(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - p = -2*d - 6, 2*d = 4*p - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -14 (b) -0.1 (c) 15 (d) 21.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2, -5, -688?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -i. Let p(q) = -q**3 + 8*q**2 + q + 4. Let u be p(8). Suppose 2*c - u = -c. Solve i = -c*b + b, -4*b - 13 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(300))**2 - sqrt(33)\/(sqrt(11)*-2 + sqrt(11))*6)*2.\nAnswer: 52*sqrt(3) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 + 4*i**3\/3 - 12*i**2 - 11*i. Let d be b(-10). Let v = d - -4. Is 3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + -16. Let m = -44 - k. Let l = 7 + m. What is the closest to 2\/5 in l, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 12. Suppose -4*p = -0*p - 20. Let h(m) = -m - 4. Let v be h(-6). Sort n, p, v in descending order.\nAnswer: p, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(-5\/4))\/p*p*p\/p**(3\/13))**(2\/35))**(-2\/37) assuming p is positive.\nAnswer: p**(-209\/16835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -5*u - 66. What is the second derivative of 19*p**4 + 24*p - u*p - 11*p**4 wrt p?\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1670 and 43086.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.5, 303.\nAnswer: 0.5, 7, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 36*f - 34*f - 18 = 0, 0 = 2*l - 5*f + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1070386*-407.\nAnswer: 435647102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15 - 346\/3. Let r = -41 - s. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**3 + s**2 - 11*s. Let o(a) = a**2 + a. Suppose -w + 5 = 4. Let d = -2 + w. Let t(m) = d*n(m) + o(m). What is the second derivative of t(u) wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-42)\/5)\/(4\/(-920)). Let j(u) = -6 + a*u**2 - 4*u + 0 - 1931*u**2. Calculate j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 362 + -178. Let p be (-60)\/h*(-8)\/12. Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318*a*n**3 + 89*a*n**2 + 2*a*n + 60*a + 376467208*n**3 with respect to a.\nAnswer: 318*n**3 + 89*n**2 + 2*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -819 - 624*o - 469 + 1047 + 12*o**3 + 2*o**4 - 399 - 136*o**2 = 0.\nAnswer: -10, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -2. Suppose s*f = 5*f + 45. Suppose 0 = -2*o + f - 3. Solve -7 + 19 = -4*v - 4*j, -o*v - j - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1747*h - 293*h**2 + 128*h**2 + 166*h**2 to the form x*h + o*h**2 + g and give x.\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {p: 2, b: 1, w: 1, q: 1, t: 1, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 15. Let c = 1 - p. Let o = 453.9 + -454.2. What is the closest to c in 0.5, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, t: 2, i: 1}. Give prob of picking 1 j, 1 o, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53066*r - 53559*r = -22185 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/10)\/((-3)\/8). Suppose -2 = 2*c - s. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102684 is divided by 108.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 253?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 20 = 2*n, 0 = -2*i + n - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1945*p + 7*p**3 + 1945*p + 9*p**2.\nAnswer: 7*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*r - 5*u, r + 2*u + 16 = 5*r. Suppose -r = 88*o - 91*o. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7012 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241\/4 + -60. Let g be 1\/(-1 - 0) - -2. Let c = -6 + g. What is the third biggest value in 0.2, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28016, 28056, 28048, 27986, 27864?\nAnswer: 27676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3730 - -26113\/7. Factor 0 - h*n**2 + 6\/7*n.\nAnswer: -3*n*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 949 - 2094 - 905 + 513)*(5*j**3 - 4*j**3 + j**3).\nAnswer: -6678*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-12))\/(5\/(-140)). Which is the fourth biggest value? (a) 0 (b) -0.1 (c) 5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -602, -785, -966?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 287*u = -283*u - 21, 5*u - 21 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8392 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -29*x + 365. What is the least common multiple of p(10) and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1029?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 7*q - 4. Let n(d) = d**2 + 9*d + 4. Let c be n(-9). Let u(r) = -r**2 + 3*r + 2. Let v(h) = c*t(h) + 9*u(h). Factor v(j).\nAnswer: -(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339766 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: Find the common denominator of 107\/22456 and 59\/6675046.\nAnswer: 26700184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g + 10. Suppose -3*k + 61 = -2*a + 6*a, 160 = g*k - 5*a. Solve -3*c = 3*s, c = -5*s + 5*c - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102680 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53832 = -10*k + 15*k + 3*q, 4*k = -3*q + 43065. Suppose -34*y = 3*y - k. Does 43 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 181?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-57)\/(-42)*2 - 3. Suppose 3134*y = 4*k + 3137*y - 32, -k = -y - 1. What is the smallest value in -2\/5, k, -11, n?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 take away 11.614?\nAnswer: -86.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2925 + 617. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/6)\/(12\/54). Let k = 40 + u. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**2. Let g(c) = 2223821*c. Give g(i(x)).\nAnswer: 26685852*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times 12\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 9. Let s be q(7). Suppose -s*l + 4*l - 36 = 0. Calculate the lowest common multiple of (1 - 9)*3\/(-2) and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5148077, -5148077, -5148067, -5148041, -5147993, -5147917, -5147807?\nAnswer: -5147657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 12) to base 5.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d + 3. Let u be m(-2). Let s = 15 + -13. Let x be u\/(s\/18*3). What is the highest common divisor of 90 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000072214 rounded to 7 decimal places?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700288 = -157*a + 429327. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/10)\/((-1)\/(-10)). Suppose -96 = -s*d + 4*r, 2*r - 208 = -5*d + 92. Is d a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/((-2)\/(-6)). Suppose 12*r - 3 = -3*q + 11*r, 5*q + r = 3. Solve q*d = m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 60, -1, -4 in decreasing order.\nAnswer: 60, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 + 44. Calculate c(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 9*n + 4. Let m be r(4). Suppose m = 4*s + 4*t + 27 - 587, 5*t = 3*s - 452. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 204*i**5 - 143960*i**4 + 24487932*i**3 + 323864112*i**2 - 14549552*i - 1459963968 = 0.\nAnswer: -12, -118\/51, 2, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 32. Let u(b) = -b**3 + 16*b**2 - 26*b - 8. Let t be u(k). Suppose -g = -t - 10. Solve 0 = -5*i + 5*d + g, 2*d = -5*i + 14 + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (15 - -3) - 0. Let l be (-4)\/f - 2795\/(-91). Suppose -b = -l + 2. Which is bigger: 28 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b1 - -8a?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5632536 rounded to 2 dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13762 and 861238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t)*(-23*t**3 - 23*t**3 + 66*t**3).\nAnswer: -40*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-4) + 1218\/126.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-4)*(-16)\/10. Is (-60 - -2)*(-78)\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l + 5. Let a(y) be the third derivative of y**4\/6 + y**3\/3 + 256*y**2. Let x be ((-10)\/15)\/((-4)\/(-30)). Calculate x*a(n) + 3*m(n).\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oool when four letters picked without replacement from ooooolooooooo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -6, 8, 28?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3345 and 3359 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 18*n**2. Let x(w) = 4532*w**2. What is x(d(u))?\nAnswer: 1468368*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 4)*(0*k + 0*k - 2*k) + 7*k + 15*k - 5*k - 4*k + 0*k + 5*k)*(2*k + 3 - 3 + 2*k**3) as x*k + m*k**3 + t + y*k**2 + h*k**4 and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*a - 47 = 0, -a = 4*f - 3*a - 82. Suppose 4*n + 5*j = 68, -44 = -0*n - 2*n - 5*j. Suppose 0 = 16*w - f*w + n. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**2 - 40*g - 8. Let j(x) = -19*x + 16. Let s be j(1). Let m(i) = 5*i**2 + 13*i + 3. Determine s*q(f) - 8*m(f).\nAnswer: 2*f**2 + 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 341, 294, 229, 146?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o + 0*o)*(-5 - 1 + 5)*(-1 + 6 - 1)*(8 + 42 - 21).\nAnswer: -232*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 540 = 2*h. Let u = h - 60. Let n = u + -25. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhzosbhhohzhhh. What is prob of picking 2 o and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 16. Let a(o) = 1. Let x(z) = -51*z - 743. Let n be x(-15). Calculate n*a(q) + 2*s(q).\nAnswer: 2*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-1 - 3*g - g - 9*g)*(-2*g**3 - 2 + 2) to m*g**3 + f + w*g**4 + t*g + c*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 33. Let g(p) = -4*p - 4. Calculate the remainder when m is divided by g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**2 - 44*n - 383 + 44*n + 347 + 356*n**4 wrt n?\nAnswer: 8544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859\/5 - -172. What is the second smallest value in g, 0, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 2, -1241.\nAnswer: -1241, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659\/7 + ((-36)\/(-8)*1044\/1218 - 4).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 31 = 129. Suppose 27 = 2*z + 3*w, -3*z + w - 4*w = -33. Let c(s) = 2*s - 5. Let x be c(z). What is the greatest common divisor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 3*w + 0*w)*(1 - 3 + 3)*((4*w - 2*w + 6*w)*(0 + 5 - 4) + 0*w - 4*w + w) in the form p + x*w**2 + j*w and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2569 and 147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3693, -3197, -1813, 915, 5443, 12227, 21723, 34387?\nAnswer: 50675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*k + 3855 - 17326 = 0, -4*x + 4*k + 26984 = 0. List the prime factors of x.\nAnswer: 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 867\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**2 + 11*b + 2. Let a(u) = -2*u - 1. Determine 5*a(s) + m(s).\nAnswer: -7*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -11478*p + 11477*p + 17, f + p - 3 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let t(y) = -2289*y - 70. Let p(r) = -1144*r - 30. Let s(o) = 7*p(o) - 3*t(o). Determine a(s(f)).\nAnswer: 1301881*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.021174554 from 0.27.\nAnswer: 0.291174554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -104?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 6 + 16. Suppose -j = u*j - 12. Let s = 3 + -1. Put s, j, -1 in increasing order.\nAnswer: -1, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from czzcccczcczcczzcccc.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 1665 = -5*i, 993 = 3*i + 3*h. Let l = i - 151. Suppose 137 - 7 = 2*k - 2*w, 0 = 3*k - w - l. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421 + 401 = -121*c - 267 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85092.23 millilitres?\nAnswer: 85.09223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-140)\/(-12)*(-8)\/10 and (50\/(-168))\/(27\/(-168)*-14)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 + 6*c**2 + 16*c - 31. Let y be s(-14). Suppose 4*m - y = 84. What is the greatest common factor of m and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s, 0 = -0*g + 2*g + s + 4. Let k(a) = -10*a - 37. Let j(d) = -5*d - 18. Let i(t) = g*k(t) + 5*j(t). Let p be i(-5). Solve 0 = w + 2*w + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.5025+-9\nAnswer: 41.5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*b**2*w**2 - 18*b**2*w + 2*b**2 + 3724*b*w**3 - 13*b*w + 13*b - w**3 - w**2 - 156*w wrt w.\nAnswer: -98*b**2 + 22344*b*w - 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 4*m**2 + m - 2. Let i be 2\/11 + 42\/11. Let d be a(i). Let v = d + -2. Solve v = 5*p + l - 6 - 1, -4*p + 20 = -4*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, and 2 l when four letters picked without replacement from valllal.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5 + 34\/(-17)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 - 16*y**2 + 828*y + 2520 = 0 for y.\nAnswer: -15, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(18\/15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68339 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*s - 343 = 0, 5*x - 394 - 179 = -4*s. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 7 - 1. Suppose -4*d + m*d - 4 = 0. Find the second derivative of 2 + 4*w**d - w - w - 2 wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 544 and 1587072?\nAnswer: 26980224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 31. Let h = a + 31. Let o be -1*(1 - 7) + 1. Solve 4*b + o + 5 = h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -2764?\nAnswer: 8\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -41. What is the greatest common factor of m and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1916 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.014, -4, 0.4, 0.2 in decreasing order.\nAnswer: 0.4, 0.2, 0.014, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5199*n. Let y(i) = 5*i**2. Calculate k(y(o)).\nAnswer: 25995*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -55672497.\nAnswer: 22268998.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -23\/458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 60, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9991*k + 5753*k + 7221*k.\nAnswer: 2983*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -17. Suppose -5*y - 3*g + 0 = -1, 4*g = -4*y - s. Solve y*n - 2 = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 10*b + 27. Let u be r(-11). Solve -4*n - y + u = -5*y, 2*n + 13 = -5*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -13 + 24 + -12.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -92. Calculate the remainder when 41 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64\/5 - -13. Let s be (30\/6)\/(-2 + 3). Which is the nearest to 0.1? (a) 19 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 13 + 13)*(-12 + 4*p + 12)*(36*p + 1967 - 1967).\nAnswer: -432*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7100, 7010, 6856, 6632, 6332, 5950, 5480, 4916?\nAnswer: 4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 - 4*p. Let o(f) = -6*f**2 - 3*f. Let k(d) = 4*o(d) - 3*q(d). Let t(z) = 43*z**2 + 83*z - 36*z - 27*z - 20*z. Determine t(k(s)).\nAnswer: 387*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(3\/7) - 0. Let a = 30 - t. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k**2 + 60*k - 68. Let s(n) = -15*n**2 + 43*n - 48. Let c(z) = 12*q(z) - 17*s(z). Determine c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = p + 18. Let o = -29 - p. Which is the closest to o? (a) -2 (b) -3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6818 - 2482. Suppose -79*i - y = -87*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -16. Suppose 0 = -4*k - 3*w + 164, 3*k = 4*k - a*w - 60. What is the common denominator of -1 + (78\/k)\/(-3) and -19\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 14 = 18*z. Solve 86 - 84 + 29*u + 21*u + 123 + 5*u**z = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 1, e: 1, t: 2, y: 3}. Give prob of sequence mmmb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y = 42*y - 9905894. Suppose 7429440 = -3*f - 5*q, f - 3*f = -q + y. Let h = f - -6136475. What is h rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2809897 is divided by 3980.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 66, 148, 264?\n\"Answer: 17*t**2 - 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**2 + 32*x + 27. Let c(u) = -6*u**2 - 15*u - 14. Let l(q) = -13*c(q) - 6*y(q). Calculate the remainder when l(-4) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*x**2 - 15*x**2 - 94*x**2 - 58*x**2)*(2 + 1 - 5) + 3*x - 3*x + 3*x**2.\nAnswer: 413*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 0.04 (c) -8 (d) -0.88 (e) 0.4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -428458 * 0.35.\nAnswer: -149960.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*f**3 - 6*f*x - 1301*x wrt f?\nAnswer: 291*f**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 5 + (-3 - 2 + 4)*(-1 + 1 - 1) - 2 + 0 + 1)*(-8 - 3 - 5)*(-38 - 9*d**2 + 38) as m + r*d + z*d**2 and give z.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 27. Let f be (-3)\/(k\/(-4) + 2). Solve -6 = -2*q + f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y. Suppose 5*n - 15 = 4*a, -2*a + y*a - 6 = -4*n. What is the units digit of 2*n - (-27)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 56. Let w be -2*3\/v*2*-3. Is -3 + (1048 + w + -4 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.16 + 5. Suppose -l + 20 = -4*j, 13*l - 15 = 17*l + 3*j. Let i = -1031\/2792 + -2\/349. Put i, a, 2, l in decreasing order.\nAnswer: 2, l, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11704241882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 15*l**4 + 1905*l**3 + 3025*l**2 - 14890*l + 110. Let c(j) = j**4 + 136*j**3 + 216*j**2 - 1064*j + 8. Let g(d) = -55*c(d) + 4*w(d). Factor g(s).\nAnswer: 5*s*(s - 2)*(s + 4)*(s + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1910)\/(-4))\/((-5)\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 q, and 1 a when four letters picked without replacement from qqqiqqqqiiiaiiq.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*m = -147*m - 2844. Suppose -m*u + 473*u + 7 = 0. Which is the second biggest value? (a) -2\/27 (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 21 - -56 - 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 123. Suppose -3*l + 28 = -p*g, l + 4*g = 5*g + 6. Which is the nearest to 0.1? (a) 14 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*d, 5 - 17 = r - 3*d. Let o be (-2*r\/(-8))\/(7\/(-28)). What is x in -24*x - 3*x**2 - 4 - 48*x**o + 63*x**2 - 16*x**4 - 112*x**2 = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724416 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*w**2 + 13*w**3 + 3551 - 3550 - 4*w**2 wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*r + 24*r + 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 28 = 5*y. Suppose s + 4*b = 22, 0 = -7*s + 3*s - y*b + 32. Suppose -s*n + 202 = -224. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(2\/6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzee when four letters picked without replacement from {z: 7, e: 9, t: 2}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283\/2 + 146. Is g != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406845+504377549\nAnswer: 503970704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10\/3)\/v)\/(v*v\/v**(-10)*v))**(-2\/11) assuming v is positive.\nAnswer: v**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 9 = 5*p - 3*g, 4*p - 5*g - 44 = -29 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x + 2. Let z(i) = 5*i + 1. Determine 4*p(l) - 9*z(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:09 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248955891 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -243, -362, -477, -588?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(-7)\/14*1\/(-1). Is 241\/2 - ((-44)\/(-8) - p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 3, n: 11, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 213.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a, 88 = -2*s + 3*a. Let w be (11\/s)\/((-2)\/200). Suppose 0 = -5*o - 10 + w. Solve 2*k = -11 + o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-91469*i - 55951*i - 105697*i + 2401*i - 52838*i + 47677*i)*(-3 + 1 + 3) in the form f*i + n and give f.\nAnswer: -255877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43614167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iikz when four letters picked without replacement from {d: 7, k: 4, h: 1, i: 4, z: 1}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 24*b**2 + 26*b - 33. Let d be z(25). Does 13 divide d\/(-20) + 1812\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:55 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a + -391ee6?\nAnswer: -392011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/11119052 and -27\/77.\nAnswer: 122309572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 11*b**7\/105 - b**6\/15 + 1516*b**3\/3 + 3163*b**2. Find the first derivative of u(p) wrt p.\nAnswer: 88*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-8)*(-4)\/(-2). Calculate the remainder when 38 is divided by -2*(182\/4)\/w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/572*11)\/(-5*(-3)\/60)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/32760 and 169\/1521408.\nAnswer: 296674560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 137.7 - 1\nAnswer: 136.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 552*k*m + 10*k*o*r - 634*k*o - 11*k*r - m*o - m*r - 1640*m + 3*o*r - 2*o wrt m.\nAnswer: 552*k - o - r - 1640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(20)\/sqrt(36) + -5.\nAnswer: -5 - 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 + 15*d**2. Let m = 1 - 0. Let v(z) = 49*z. Let c(u) = m*v(u) - 35*s(u). Let n(r) = r**2. Give n(c(b)).\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkqqqqqdqkkjkq. What is prob of sequence qq?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2627453 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = 4*b + 3, 0 = -5*z + 2*b + 17. Suppose -282 = -5*o - g, g = z*o - 6*o + 168. What is the remainder when o is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 4.9. Let a = f - -4.1. Let o = 0.3 - a. Is 0 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -366*q + 370*q - 11*n - 164, -2*n - 13 = -q + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 6, t: 2, s: 7, c: 3}. Give prob of picking 2 s.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1384 - 2756 + 1372 - 2*j. Let u(l) = 29*l**2 - 6*l. Determine u(g(x)).\nAnswer: 116*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25848554, -25848553, -25848552, -25848551?\n\"Answer: q - 25848555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -12, 5, 3 in increasing order.\nAnswer: -12, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28722120, -57444240, -86166360, -114888480, -143610600, -172332720?\n\"Answer: -28722120*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4\/3 + 32*n**3\/9 - 28*n**2\/9 + 8*n\/9.\nAnswer: -4*n*(n - 1)**2*(3*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 288804*k**4 - 5213706284*k**3 + 26057557916*k**2 + 67757389920*k + 36485836912 = 0 for k.\nAnswer: -1, 7, 36098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*n - 5 + 21, -12 = -3*n. Suppose 3*j - 3*r + 9 = k, -3*j + r = -2 + 3. Is (557\/3)\/(7\/21)*j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233302 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: Calculate the remainder when (194*1 + 0)*(17 + (-1 - 11)) is divided by 239.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1429*k**4 - 194323*k**3 - 132*k**2 - 265536.\nAnswer: 34296*k - 1165938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/13 (c) -12 (d) 22 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2959?\nAnswer: 1\/2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1, s: 3, e: 1, v: 2, r: 3}. What is prob of sequence er?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/44 and ((-1)\/(-20))\/((-3264)\/(-10400)).\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225371963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-106)\/(-2))\/(18 + -17). Let u = 59 - d. Suppose 3*k - u*k + 510 = 0. List the prime factors of k.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 161 (b) -2.8 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 568 = 5*s, -3*h - 129 = -4*s + 344. Let j = s + -8. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -3*(-368)\/(-12) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49142 less than 240.573?\nAnswer: -48901.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 329, 307, 283?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 105*l**3 - 112*l**3.\nAnswer: -206*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 90*v - 140. Let o be n(11). Suppose 27*t - o = 554. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 4:12 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4b83 - 716?\nAnswer: b4469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 6*n + 7. Let z be i(-1). Calculate the highest common divisor of z and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3769 - 0.24622741\nAnswer: 3768.75377259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (sqrt(176) - (1 + (sqrt(176) + -2 - sqrt(176)))))**2 + -6*(sqrt(11) + 3)*3 + -4)*5.\nAnswer: -90*sqrt(11) - 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.402 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73768338 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-480)\/(-200).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 150 = -7*m. Solve 2*z = -2*a - m, 10 = -3*a - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 325 + -229. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 273, 547, 811, 1059, 1285, 1483, 1647, 1771?\n\"Answer: -c**3 + c**2 + 278*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 27 = 4*j, -4*r - 59 + 14 = 5*j. Let w = -11 - r. Let m(x) = -x**3 + 3*x**2 + 9*x + 7. What is the remainder when w is divided by m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103379540 and 4510.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170488*x**3 + 0*x**2 + 0*x**2 + 1170486*x**3 - 1 + 1.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 1, r: 3}. Give prob of picking 1 r and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 544 + -544.09. What is the closest to 2 in -0.07, 2\/21, s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + l - 32 - 300 = 0, -2*l + 4 = 0. Let a = j + 96. Let n = -23 + a. Solve n*i = -5*b + 3*i - 2, 4*b + 6 = -i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -314028 and -313891 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13340443 (base 5) to base 2\nAnswer: 100001011100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 77. Suppose -h*w = -4*f - 8, w + 6*f = f - 10. Solve w*b + 2*b = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172.3495 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 17. Let k = d + -20. Let v = k - -12.6. Which is the third biggest value? (a) 2\/3 (b) v (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4041330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1071)\/(-81) - (35 - 21))*-9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(187\/(-328)) - 1186\/10081.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Suppose k*u - 2 = 3*f, 0 = -4*f - 3*u + 7*u. Let x = 0.01 + -0.11. Which is the nearest to -2\/9? (a) x (b) 1\/6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -764, -5478, -17740, -41156, -79332, -135874, -214388?\n\"Answer: -601*j**3 - 168*j**2 - 3*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-9)\/(-3) - -3. Let m(w) = -w**3 + 2*w**2 + w + 1. Suppose 3*c + 8 = y, c - 4*y - y = -26. Let o be m(c). What is the nearest to z in 0.3, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (64666\/(-4))\/(7\/(-42)). Let b be l + (3 - (-4)\/(-2)). What is b rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.053 and -2979381447538.\nAnswer: -2979381447538.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 557156326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000425 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdv when three letters picked without replacement from {z: 4, d: 5, v: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - y - 32 - 14*y**2.\nAnswer: -14*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -8*d - 5. Let f = -9 - -4. What is the nearest to d in f, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32150 is divided by 15970?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 9. Let k(d) = d + 11. Let r be k(-6). Which is the closest to -1\/3? (a) r (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/(12\/(2\/(3 - 4))))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k + 11. Suppose -17 + 5 = 2*c. Does 24 divide m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p - 10. Let j(k) = -k + 4 - 3 + 0*k. Let w(u) = -a(u) - 5*j(u). Let i = 8 - 3. What is w(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/20 + s**4\/4 - s**3\/3 + s**2\/2 - 271*s. Let p(q) = -q**3 - 2*q**2 + 3*q - 4. Let b be p(-3). What is k(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {h: 1, p: 2, m: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-1)\/(12 - 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**9))\/(n*n**(-1\/3)))\/(n\/(n\/(n*n*n**(-9\/2))))**14)**49 assuming n is positive.\nAnswer: n**(6370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/816 and -101\/95856.\nAnswer: 1629552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, 0.3, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.3. Let w = 38548.5 + -38548.3000008. Let r = u - w. Round r to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7707307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 26 = -2*a - 3*l, -5*l + 90 = 5*a. What is the remainder when 55 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -86*c - 105. What is the tens digit of z(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3024259 times 0.5\nAnswer: -1512129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 6*o + 3. Suppose 24 = -0*m + 2*m. Suppose 3*n + 5*w - m = 0, 42 = 5*n - n - 2*w. Is 14 a factor of a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 140 + 145 = -5*f, -5*f - 5 = 2*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j + 1. Let r(l) = 3*l**2 - 2*l - 5. Determine b(w) + r(w).\nAnswer: 2*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41589a (base 11) in base 9?\nAnswer: -1225331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - x - 1. Let o(y) = -2*y**2 + 2*y + 1. Calculate 4*n(a) + 3*o(a).\nAnswer: 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4896 and 0.8.\nAnswer: 3916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -479 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30*((-32)\/(-12) + -4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 108*s - 113*s + 48575, 38852 = 4*s - 2*y. List the prime factors of s.\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -142099, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2))**2 + 2 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 5*s**3\/6 + 64*s + 58. Let m(q) be the first derivative of w(q). Let p(x) = 43*x**2. What is m(p(g))?\nAnswer: 215*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(121) + -2*sqrt(121) - sqrt(121)) + 1*(sqrt(121) - 1*sqrt(121)))*-5)\/((sqrt(66) + (1*sqrt(66) + sqrt(66))*-2)\/(1*sqrt(96)))*-3)**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27942 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 77 = -12. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21429 and -149.\nAnswer: 31.92921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -24. Suppose -6*v + o = -4*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -327667144 less than -190?\nAnswer: 327666954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 1\/2*x**2 - 5*x + 1. Calculate n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.86 - 788.\nAnswer: -788.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(1\/3)\/((x*x**(-2\/19))\/x**(6\/5)) assuming x is positive.\nAnswer: x**(182\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 4. Let a(u) = -u**3 - 11*u**2 - 11*u. Let w be a(-10). Let t = 14 - w. Solve -3*r + s*i - i = -1, -t*r = 3*i + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auu when three letters picked without replacement from uua?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 104?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2212310 - 1430?\nAnswer: -2214240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -8, -42, -90, -152, -228?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*s**3 + 2*s**2 - 2*s**2 - 295*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 7*j**5\/60 + j**4\/12 + 4*j**3 + 11*j**2 + 4. What is the second derivative of s(u) wrt u?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 + 4*a**2 - 4*a. Let b(c) = -4*c**3 + 2*c + 1. Let h be b(-1). Does 31 divide s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.6601 rounded to zero decimal places?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8338? (a) -164 (b) 0.4 (c) 0.5 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c = -52*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2 + -2 + 2))\/((-16)\/(-48))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.03 - 2.23. Is 0.7 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.1 (c) -123 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 7*r**2 + 5*r - 6. Let p be (-2015)\/(-75) - (-2)\/15. Let w be 2\/(-6) - 153\/p. Let x be f(w). Solve 5*d = -x*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + o + 6076. Let v(p) = 5*p**2. What is w(v(t))?\nAnswer: 50*t**4 + 5*t**2 + 6076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*m = -94, 30 - 5 = -5*m. Let j = g - 26. Suppose 4*w + 2*i - 50 = 0, 0 = -2*w + w - 4*i + j. Solve -2*f = 5*c + w, -f + 2*c + 16 = -c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -3050, -11444, -27886, -55058, -95642?\n\"Answer: -447*t**3 - t**2 + 104*t + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30218508767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = -4*z - 0*x, 3*x = 3*z + 12. Let p(j) = -j**3 - 7*j**2 - 5*j + 7. Let r be p(z). What is the units digit of (r\/5)\/((-1)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cymuuffmr. What is prob of picking 1 y, 1 c, 1 u, and 1 f?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.89 and 4.844.\nAnswer: -38.21916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -3*v - 0*v. Suppose -p + 288 + 109 = v. List the prime factors of p.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*r + 41, -3*c + 10 = -4*r - 9 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 29 = -3*u - 0, u - 7 = -3*w. Let s(n) = 22*n**2 - 7*n**2 - u*n**2 - 6*n**2. Determine s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:47 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 176977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10600049 plus 229974?\nAnswer: 10830023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 166601.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32001 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8082, -8105, -8156, -8247, -8390, -8597?\n\"Answer: -2*k**3 - 2*k**2 - 3*k - 8075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((18\/15)\/3)\/(11\/(-1595)). Which is greater: y or -59?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by 5.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)\/(h*h\/(h*h**(-4\/5))))**(-2\/39)*(h**3*h\/((h\/h**(-5\/4))\/h))\/(h**(3\/7)\/(h**2*h)) assuming h is positive.\nAnswer: h**(383707\/70980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5460147 - -6.194056. Let q = 0.3521 + z. Round q to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 0*w + 4*w)*(3 - 9 + 0)*(427*w - 48*w**3 - 427*w) to t*w**4 + d + p*w + z*w**2 + g*w**3 and give t.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -494 * 0.3.\nAnswer: -148.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 37\/2898?\nAnswer: 37\/2898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -11. Let m = 17 - q. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 2*j + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51090325141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -248 - 432. Suppose 8*l - c = 398. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-18) + 4412\/6.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*s - 754 = 0, 17*c - 3*s - 749 = 13*c. Solve -t + 194*a - c*a + 12 = 0, 12 = -3*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-600)\/20*56\/(-210).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(272) + sqrt(272) + sqrt(17) + (sqrt(17) - (sqrt(612) + -1)) + sqrt(17) + sqrt(17) - (1 + sqrt(425))**2*2*1.\nAnswer: -855 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 = -37*g - 3*t - t - t, -38*g + 33*g + t + 84 = 0 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149116 - 18016. What is u rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -35*x**6\/6 - x**4\/12 - 5*x**3\/3 - 3*x**2 - 46*x - 2. Find the second derivative of v(p) wrt p.\nAnswer: -2100*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(0 - 3))\/(30\/10). Suppose z = -4*j + 2*j - 4*k, j - k = 3. Which is smaller: 0.26 or j?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 4*l - 6. Let n be o(5). Let b = n - -5. What is the tens digit of (-408)\/(-28) - b\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-6))*(-9)\/108?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190) + (sqrt(190) - (-3*sqrt(190) + sqrt(190) - sqrt(190)))*-4)*5)\/((sqrt(160)\/sqrt(4))\/sqrt(4) - -2*sqrt(360)).\nAnswer: -70*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479, 1452, 1383, 1254, 1047, 744, 327?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244319 is divided by 434.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2. Let j(y) = -9*y**2. What is f(j(g))?\nAnswer: 729*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 2*u**2 - u + 113. Let m = 45 + -45. What is the hundreds digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 27*y - 538, 0*y + 5*y + 4*b = 7*y - 5*y + 68 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/42*1\/(-4)*-6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/13 + 286440*h\/13 + 572872\/13 = 0.\nAnswer: -143218, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*h + 5 + 13, -2*z = h - 12. Solve 20*s + 18 = h*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*t - 434, -9 = 4*m - 1. What is the common denominator of (-1)\/(-6)*t + -1 and 7\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*(-3 - 9). Let h(a) = 13*a**3 + 2*a**2 + 16*a - 8. Let f be h(t). What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1199 and 67\/872.\nAnswer: 9592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 60*t**2. Let m(l) = 908*l. What is r(m(n))?\nAnswer: 49467840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2932 = -10051*b + 10784*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 742072853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6\/511, -2\/909, 2, 1, -1 in decreasing order.\nAnswer: 2, 1, 0.1, 6\/511, -2\/909, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 12:20 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7357 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-3940)\/(-1773))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 302342, 302345, 302350, 302357, 302366?\n\"Answer: l**2 + 302341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*t + 21 = 236*t + f, 45*t - 2*f + 195 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/4 + 2*o**3 - 3*o**2\/2 - 6*o + 160. Let d(b) = b**2 + 7*b - 12. Let r be d(-9). What is q(r)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 159, 494, 1155, 2250, 3887, 6174, 9219?\n\"Answer: 18*v**3 + v**2 - 12*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32133?\nAnswer: 3, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16557 + -16553. Let r(v) be the first derivative of -2*v + 5\/4*v**6 + 34 + 7\/2*v**3 - v**2 + 1\/8*v**s - 29\/10*v**5. Determine o so that r(o) = 0.\nAnswer: -2\/3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14505*0.599.\nAnswer: -0.08688495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 269.1?\nAnswer: -80.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*m = -724*m + 461*m - 7700 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130583863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 15144*l**2 + 15140*l**2 + 21*l - 16*l.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2421.339*-0.3\nAnswer: 726.4017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 93. Let c(i) = 2*i - 1. What is the least common multiple of c(3) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 30 = 5*p, -1 - 1 = -5*p + 3*z. Let s = 717 - 698. Suppose 0 = -23*y + 4 + s. Sort p, y, -9 in descending order.\nAnswer: y, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131068765.72 rounded to the nearest 100000?\nAnswer: -131100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 - r. Let d be p(2). Find the third derivative of -28*v**d + 1 - 1 + 41*v**5 - 45*v**5 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2465673 less than -2465630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {e: 1, q: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + q. Let m be d(2). Suppose -m = 3*k - 5*k. Calculate the remainder when 3\/(2 + 75\/(-42)) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -127. Calculate the least common multiple of v and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*f + 2*b + 52, -61 = -4*f + 3*b. Suppose f = -u + 20. Suppose 0 = 5*c + 3 - 18. Solve u = -j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19779 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.596612 times 2?\nAnswer: 1.193224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2861*l**3 - 2862*l**3 + 9*l**2 + 1 + 17*l**2)*(11 - 18 - 17 + (-2 - 3 + 2)*(2 + 1 - 1)) to j + v*l**2 + u*l**3 + q*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**2 + 260*m - 2293. What is a(7)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 - 681*t**2 + 1667943*t - 4997619 = 0. Calculate t.\nAnswer: -869, 3, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, j: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 41, 2, -95, -0.3, -3\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24035448\/13 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -308, -612, -916?\n\"Answer: -304*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -50*y + 3. Let z be h(-3). Suppose -18 = -3*c + 3*f, -4*f = 20 - 4. Calculate the least common multiple of c and (z\/68)\/((-3)\/(-8)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(-1\/11)*j*j**8\/j*j**0 assuming j is positive.\nAnswer: j**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178732 and -0.0078.\nAnswer: 1394.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 6*p)*(-p + 5415 - 12468 - 29913 - 2*p**2).\nAnswer: 4*p**3 + 2*p**2 + 73932*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(176)\/sqrt(4))\/sqrt(4) - sqrt(11)) - sqrt(176)*2*-4.\nAnswer: 2 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8120.99 + 8087. Let o = x - -34. Let n = -0.51 + o. What is the second biggest value in 2\/3, 0, -4\/3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 9 + (10 - -2) + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/20 + 5*j**4\/12 - 5*j**3\/6 - 9*j**2\/2 - 11665*j. Calculate x(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujbpju. Give prob of sequence juj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 0, p = -4*c - 4 + 10. Suppose -4*m - 6 + 38 = 5*x - 6*x, 0 = x. Solve 5*z = -k + m, 3*k = -3*z + z - p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/60 + v**5\/60 + v**4\/24 - v**3\/6 - v**2. Let r be q(1). Let b = r - -3. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h + 10*h + 192 - 146 - 119 - h**2. Let a be i(7). Factor 8*s**4 - 7\/2*s**2 + 0 - 1\/2*s - a*s**3.\nAnswer: s*(s - 1)*(4*s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 511, 990, 1483, 1996, 2535, 3106, 3715, 4368?\n\"Answer: l**3 + l**2 + 469*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7119 divided by 3.\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48351 rounded to 2 decimal places?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i - 3*i)*(1 - 3 + 0 + (-2 - 4 + 4)*(4 + 2 - 5)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -808917*c - 39543 wrt c?\nAnswer: -808917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272 - -278. Let d be (-288)\/15 - y\/(-30). Is d < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -213727, -427478, -641229, -854980, -1068731, -1282482?\n\"Answer: -213751*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1313 + -216465?\nAnswer: -215152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + ((-2*sqrt(64))\/sqrt(8))\/(sqrt(8)\/(sqrt(8)\/sqrt(4))).\nAnswer: -3 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2927, 2923, 2919?\n\"Answer: -4*h + 2931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-7 - -1)\/(-2). Let q(y) = 2*y - 3. Let x be q(f). Suppose 2*s + x*j - 2*j = 39, 5*j - 24 = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 - 14*q**3 + 6*q**3 + (0*q**2 + q**2 - 3*q**2)*(3*q - q - q) - q**3 + 0*q + 0*q + q**3 - q**2 + q**2 - 2*q**3 + 0*q**3 + 3*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 452 = 10. Calculate the lowest common multiple of s and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2 - 294943866*t - 294943863 = 0.\nAnswer: -98314621, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:16 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + b. Let d be w(1). Suppose g = -5*k + 4*g - 50, 0 = -3*k + d*g - 24. Let r(h) = h**2 + 12*h - 16. Let v be r(k). Is v at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 504658541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17631 + 9162. What is the highest common factor of g and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-931)\/95 + -1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87.41 - 87. Let g = 5 + -4.99. Let p = g - u. Which is the second smallest value? (a) -1 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -367 and 16.093.\nAnswer: -350.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eppp when four letters picked without replacement from hhhhphehphekhpehk.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 3249*o**2 - 3259*o**2 - 61*o - 23*o + 77*o.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (589\/38)\/(((-3)\/3)\/(-2)). Calculate the highest common factor of 403 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8 - 8 - (-4 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 28*n + 98. Let z be r(-31). Suppose -4*k - 101 = -z*o - 0*k, o - 1 = -4*k. Solve o + 3 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22041*k**4 - 85983?\nAnswer: -88164*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(405))**2 - (sqrt(35)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 419 + -417. Suppose a = v, 5*r - 2*v = 4*r - 7. Let j(f) = 2*f - 5*f + 4*f. Determine j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 49.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*l - 9. Solve -3*j - 24 = 5*r, l*r + 2*j + j + 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let s(m) = 4 + m**3 + 6*m**2 - m**d - 8. Let x be (1*3 - (-1)\/(-2))*-2. Determine s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -17*b**5\/60 + b**4\/24 + 4*b**2. Let k(o) = -7*o - 4*o - o - 11*o + 21*o. What is k(a(m))?\nAnswer: 34*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027459913 rounded to 7 dps?\nAnswer: 0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/17, 1, -1\/14, 124, 4 in ascending order.\nAnswer: -1\/14, 2\/17, 0.5, 1, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 p when three letters picked without replacement from tklvp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let q be y(-6). Suppose 4*x = q*x - 66. Calculate the least common multiple of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*z + 4*j, 5*j = -4*z + 2294 - 2290 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -381*n - 3345. Let l(v) = 385*v + 3357. Let f(h) = -4*j(h) - 5*l(h). What is the first derivative of f(r) wrt r?\nAnswer: -401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9609 rounded to 1 decimal place?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16352.728 - 16426. Let t = 73 + l. What is t rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7350653 + 5?\nAnswer: -7350648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j. Solve x - 5*f - 8 = j, -3*x + 4*f = -8 - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -18*l**2 + 18 - 19*l**2 - 2*l**2 + 49*l - 109*l. Find the first derivative of h(b) wrt b.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (0 + (sqrt(68) + -1 - sqrt(68)) + sqrt(68))))**2 - (-5*(sqrt(17) + sqrt(17) + 0 + sqrt(17)) + (5 + sqrt(17)*1)**2).\nAnswer: 27 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32182\/237 or -0.093?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -981711 less than -981711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + 2*g**2 - 2*g**2. Let y(x) be the second derivative of x**4\/4 + 494*x. Calculate -6*c(q) - 5*y(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4761785.819 - -2.2\nAnswer: 4761788.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -3) + (6 - (3 + (-5 - -2)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -219. Suppose d*w = -13*a + 14*a - 2591, w - 7734 = -3*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -d, -21076*r - 6*d + 33 = -21067*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away 3939367073852?\nAnswer: -3939367073850.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 2}. What is prob of sequence nw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 298469?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4*p = 3*n - 10, n = -p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 - -7. Let w = -1 + j. Let d(s) = 2*s + 17. Let n be d(-7). Sort n, -5, w in ascending order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22236 is divided by 7343?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 2*c**2 + 26*c**2. Let l be n(1). Let p = -13 + l. Calculate the greatest common divisor of 28 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 116. Let p(l) = -879*l**2. Give k(p(a)).\nAnswer: -1758*a**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 47777994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = -0. Let z be q - (0 + (1 - 1)) - -1. Suppose 4*r = 4*g - 0*g + 228, -z*g = 0. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514*a**3 - 15*a - 15 wrt a?\nAnswer: -3084*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 5. Give n(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -7*j**5\/120 - 5*j**4\/24 + 2*j**3 - 2. Let v(i) be the third derivative of y(i). Differentiate v(w) with respect to w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37925 - 38024. What is the nearest to 9\/2 in -2, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 smaller than -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -5*l - 4*c - 185, -2*l - c = 163. Let f = l - -287. What are the prime factors of f?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/3)\/((-3)\/8)*13\/1352*26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/384 and -29\/66.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 7. Let a be (0 + -1)\/(1\/s). Solve 0 = -j + 5*p + 4, -1 - 3 = -j - a*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74394 divided by -6.\nAnswer: 12399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 14*b + 34. Let d be f(14). Let g(l) = 86*l - 1. Let n = 1 - 0. Let s be g(n). Calculate the highest common factor of s and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25297, 50686, 76075, 101464, 126853?\nAnswer: 152242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(4*h - h - 5*h) + (0 - 1 + 0)*(9 - 9 - 5*h) - 5*h - 2*h + 3*h in the form q + m*h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989, 1963, 2925, 3869, 4789?\nAnswer: 5679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 371 = 373. Let p be 4 - (a\/(-18))\/((-10)\/(-15)). Solve -1 = 4*o + 3*l, p*o - l + 4 = l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 2417, 8156, 19331, 37754, 65237, 103592?\nAnswer: 154631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -230, 3, 4, -22.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -l + 5*f, 569*l - f - 19 = 574*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5436 + -2879. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/44 + 95\/132. Which is the second smallest value? (a) s (b) 0.1 (c) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552165.\nAnswer: 3, 5, 131, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30683\/76695 + -1\/15339. Find l such that 0*l + 0 + 4\/5*l**2 - x*l**3 - 2\/5*l**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952320 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(7*w + 4*w - 5*w)*(-4*w - 2*w - 5*w).\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412704406 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: (2 - 2) + 9 - ((47 + -68 - -23) + -56)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}