diff --git "a/data/dm_maths/full_data_2/10149_11255.jsonl" "b/data/dm_maths/full_data_2/10149_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10149_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the cth term of 192, 258, 326, 396, 468, 542?\n\"Answer: c**2 + 63*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*q**4 - 5316*q**3 - 101103*q**2 + 92364*q + 14100 = 0. Calculate q.\nAnswer: -94, -25, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789*n + 1796*n + 1791*n - 5378*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 - 5*o. Let p(c) = 2*c. Give p(m(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2082307139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90099?\nAnswer: 3, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170\/4 + 8\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 7 - 91. Suppose 88*n - r*n = 24. Calculate the greatest common factor of n and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + h - 4. Let v(y) = 179*y**2 + 655*y + 24. Let n(w) = -6*l(w) - v(w). Find the second derivative of n(t) wrt t.\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2. Let j(c) be the third derivative of 19*c**4\/24 - c**3\/6 - 22*c**2 + 6. Calculate b(j(n)).\nAnswer: -1444*n**2 + 152*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t*t**0)\/t))\/t)\/t)**(-2\/9)\/(t**(-7)\/t**(-2)) assuming t is positive.\nAnswer: t**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t = -100. Suppose 9*b - 150 = 4*b. Suppose -b = -4*h + 58. Calculate the lowest common multiple of h and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17413 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 740\nAnswer: -7\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g + 2*y - 4*y, 3*g = 2*y + 22. Suppose -g*n - 226 = -6*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-78)*9)\/((0 - 2)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31350000 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - j = 8 + 1, -g = -3*j - 19. Let s be 2 + (-1 - -1) + g. Suppose 2*d = 5*y + 59 + 4, 0 = -2*y - s. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186\/434*(-7)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35807 and 9211.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/3*(-297)\/(-198). Let s(f) be the third derivative of f**5\/60 + 7*f**4\/24 + 2*f**3\/3 - 2*f**2. Determine s(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 9*a**3 + 11*a**2 - 2*a. Let h be r(14). Suppose 5*d = 3*d + h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1317 + 1337.18. Let k = q + -20. Let n = 3.98 - k. What is n rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 1024.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -95 and -3858212.\nAnswer: -3858307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 3, 2\/7, 63, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*l**2 + 225*l**2 + 224*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 21 = -0*j - 2*j, -3*q + 71 = -2*j. Suppose -q = 4*v - 11. Suppose 5*y = 0, 2*x + 0*y = -3*y. Sort x, -5, v.\nAnswer: -5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*c**4 + 3*c**3 - 14*c**2 + 30*c + 71 wrt c?\nAnswer: -360*c**2 + 18*c - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - o + 32929 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-6)\/4 - -1. Let k be ((-1)\/t)\/(3\/12). Suppose 3*u - 5*x - 1 = 0, -5 + 14 = k*u + 5*x. Solve -4 = -2*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 192?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 344 + -648. Let g = r - -441. List the prime factors of g.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136.95 - -32.307\nAnswer: -104.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-2) + 3)*4. Let h(r) = 3 + 216*r - 214*r + r**2 + 0*r**u. Determine h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1702*-2.\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 - 180*d**2 + 1864*d - 4320 = 0. What is d?\nAnswer: -54, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.91 + 0.09. Let i = 3 - 3.5. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -2 (b) 0.1 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 - -4 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (-2)\/6*(-165)\/(-16). Is 12 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -12. Let m = 2 - s. Suppose q - 5*r - 18 = 0, 3*r - 5*r = 2*q + 12. Which is the nearest to -3? (a) -2\/13 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362219149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -109*h - 670. What is x(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -338 - 9c3?\nAnswer: -102b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -25. Let q be 2\/(-6) - (-32)\/t. Let c(y) = -7*y**3 - y**2 - 3*y + 2. Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 117. Let l = 0 - -1. What is the least common multiple of 2\/((-12)\/c) - (-4)\/6 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.88+898\nAnswer: 870.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*f + 42, 5*f - 622*c + 72 = -618*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45090874 - 1.52864.\nAnswer: -45090875.52864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543028 (base 13) in base 16?\nAnswer: 1e2bf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*((-12)\/6)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y - 503 = 56*y + 37 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -166615 + -c?\nAnswer: -166622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.01. Let y = -4.9 - g. Let k = -0.1 + 0. Sort y, k, 2 in decreasing order.\nAnswer: 2, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 6, b: 6, r: 6}. Give prob of sequence rrr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f\/f**0*f)**16*(f**(-1\/4))**(3\/11)*f**(-1\/2)*f\/(f*f**(-1\/5)\/f) assuming f is positive.\nAnswer: f**(-6901\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1144 = -2*c + x, -c - 550 = -2*c - 5*x. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -773121 and 5.\nAnswer: -3865605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -409 minus 79714867402.1?\nAnswer: -79714867811.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 419, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 7 = -5*j + 2*h, 0 = h + 1. Let t(u) = 1 + 3*u**3 + 0*u**2 - 2*u**2 + 11*u**3. What is the units digit of t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -105793895.\nAnswer: 2\/105793895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-40))\/(24\/16))\/((-11)\/(165\/78))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 22*x**2 - 52*x + 242. Let v be p(20). Solve v*i = 5*s + 9, 2*i - 2*s = -6*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -1741.\nAnswer: -16\/1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-27)\/(-30)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9849, -3, 3.\nAnswer: -9849, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(539) + 5 + (sqrt(539) - (4 + 1*sqrt(539))) + 2.\nAnswer: 3 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-3 + 3)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52950967, 52950969, 52950973, 52950979, 52950987, 52950997?\nAnswer: 52951009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/(7\/3). Let g = 713 + -3569\/5. What is the second biggest value in g, -13, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 2. Let v be p(3). Suppose 2*b + 5*t - t = -16, v*t = 4*b + 8. Let k = b + 4. Solve -o + 0 + 3 = k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107722333*x**2 - 175673370 wrt x.\nAnswer: 215444666*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/5 + 14189392*w**2\/5 - 25167355666208*w\/5 = 0.\nAnswer: 0, 3547348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -771, -756, -723, -666, -579, -456, -291?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*s - 24*s - 12. Let m(w) = -1143*w - 53. Is m(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2522*i + 1261*i + 1254*i - 17)*(5*i**2 - 5*i**2 + 3*i**3).\nAnswer: -21*i**4 - 51*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1014, 3, 565, 2, 4, 9 in decreasing order.\nAnswer: 565, 9, 4, 3, 2, -1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 10.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 426.\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 222*j + 2985. What is the remainder when t(-8) is divided by 324?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 2303, 3785, 5665, 8075?\nAnswer: 11147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6251 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/3)\/3)\/(((-2132)\/41)\/(-26)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*g = -6*j + 113, -j + 29 = -g. What are the prime factors of (-18 + 90)*j\/8?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14158 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 20*v - 89. Let i(n) = -6*n - 2. What is 3*i(k) + y(k)?\nAnswer: 2*k - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60327904 and 10192?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 4*c**2 + c. Let t be l(-4). Let u = 6 + t. Solve -a = u*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 7*z + 2*z)*(3*z**2 - z**2 - 4*z**2) + (-2 + 1 + 2)*(58 - 58 + 6*z**3).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 657 - 642. Suppose -5*t - 2*p + 465 = 0, s*p - 384 = -4*t + 11*p. What is the highest common factor of 39 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*r + 182 = 0, -r - r = 2. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 1645*y**2 - 150 - 1642*y**2 + 3286*y**2 in the form c + b*y**2 + v*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 5, w: 2, k: 3}. What is prob of sequence hk?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 11586*f**2 + 17360190*f + 1667369150 = 0. Calculate f.\nAnswer: -2845, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790430 is divided by 2094?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:31 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 10.2. Let k = 14.579 - 14.5. Let c = k + -2.079. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4*s)*(-336 + 39*s - 83*s + 42*s) as l*s + o*s**2 + g and give l.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33612, -33485, -33346, -33189, -33008, -32797, -32550?\n\"Answer: v**3 + 120*v - 33733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 13. Let s(j) = 4912876*j**2. Give f(s(l)).\nAnswer: 96545402365504*l**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.004044, 1435, -1\/3.\nAnswer: -1\/3, -0.004044, 1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/148 and 48\/481499?\nAnswer: 71261852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3025?\nAnswer: -3025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by 10\nAnswer: -117\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(120))*-3 - sqrt(60)\/(sqrt(4)\/sqrt(2)))\/(sqrt(70)\/(sqrt(7)*1) + (3*sqrt(10) + sqrt(10))*5).\nAnswer: 2*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/18)\/a*(a\/a**15)\/a assuming a is positive.\nAnswer: a**(-289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = w - 8*t - 115, -5*w - 5*t = -625. Calculate the greatest common divisor of 195 and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42985 - 42984.99818305. Round f to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 7 = -2*s, 0 = -44*s + 49*s - 5*t. Let i be (-7)\/(s - (-1)\/2). Solve 4*b = 2*g - 0*g - i, 4*b = -4*g + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*c - 0*c + 5, 8 = w + c. Let p = 10 + 0. Let r be (-4)\/(-8) - p\/4. Put -3, w, r in descending order.\nAnswer: w, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k**3 - 35*k**3 + 2*k**2 - 2*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/3 - 3*s**2 + 5*s. Let d be k(5). Let l = -7116 - -7128. Solve -5*y - l - 28 = d*m, -5*y - 15 = -m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + -18 - 17 - 3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2. Let o(w) = w - 16. Let c be o(16). Let l(n) be the third derivative of 0 - 1\/20*n**5 + c*n + 3*n**2 + 0*n**3 + 0*n**4. Give l(p(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.8652284 rounded to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 446.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ykykkykkyk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 18 = -3*p. Let q(u) = -2*u + 38. Let y be q(19). Suppose y = 4*w + 5*k + 13, -12*w + 11*w = -2*k - 13. Solve -w*x = -x - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ruuurrrurrrru.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {d: 2, t: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19114 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*v - 4, 0*v - 5*v = -3*g + 2. What is the second derivative of -30*f - 18*f - 48*f**4 - g*f**4 wrt f?\nAnswer: -624*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517028775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*s = 24, 13*a - 14*a - 4*s - 24 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63413783 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - (-1970)\/6)*-60510. Round p to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 402587 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 19*j**2 - 95*j - 55. Determine x(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44842 is divided by 21785.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 + 3*d. Let y(k) = -8*k + 23. Let g be y(8). Let h be g*-2*15\/10. Let w(s) = -h*s + 123*s + s**2. Calculate w(t(x)).\nAnswer: 64*x**4 - 48*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.442 and 0.01.\nAnswer: -0.07442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 70. What is the least common multiple of ((2 - (-4)\/(-6 + 5)) + 30)\/2 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*t - 5*w, -4*w + 0*w = -t - 22. Let j = t + 9. Solve 2*k = 1 + j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63514 is divided by 186?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 1614*j + 3240.\nAnswer: -3*(j - 540)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/13)*(o**(7\/2)\/o)\/o*((o**4\/o)\/o*o)**38 assuming o is positive.\nAnswer: o**(2999\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 2:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s. Let y(w) be the first derivative of -2*w**3\/3 + 18. What is u(y(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1.1, -3\/991?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdddddddtdddt. What is prob of picking 1 t and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13322 + 131?\nAnswer: 20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19063 + -27736663\/1455. Let w = -25313\/2910 - f. Find the common denominator of 202\/4 + 0 + -3 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let y(l) = -42*l - 42. Let x(u) = -2*u - 1. Let n(r) = -42*x(r) + y(r). What is f(n(i))?\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2113135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0 (c) -6 (d) -1\/14134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/4 - k**3 + k**2 + 2*k - 6. Let z be l(-3). Let j(n) = n**2 - 3*n - 2. Let q be j(3). Sort q, 1, z.\nAnswer: z, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 37 = 4*b, 2*u + 2*b - 4*b = 26. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 86. Calculate the common denominator of -67\/14 and (-6)\/(-32)*1696\/o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14255 + 14254.9. Which is the closest to -0.1? (a) -2\/9 (b) 0 (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 512*q - 517*q + 7, -3*q = p - 5. Let z(y) = 2*y - 14. Let o be z(7). Sort p, -2, 1, o in decreasing order.\nAnswer: 1, o, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 288 - 3746\/13. Let t = 56 - 56.038. Let v = t - -2.038. What is the third biggest value in m, v, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b. Let p = -282 + 281. Let x(s) = -4*s**2 + 7*s + 6. Let q(u) = p*x(u) - 3*o(u). Calculate q(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 747*x**3 - 5*x**2 + 3*x - 4. Let k(l) = l**3 - l**2 + l. Let w(h) = 4*k(h) - r(h). Let z be w(2). What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 2 + 3*q**2 - q**3 + 3*q. Does 4 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18408853543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209\/504 - 1\/72. Let r = -1 + 0.5. Let u = 4.008 + -0.008. What is the fourth smallest value in r, -1, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((15\/(-36))\/(-5)). Suppose 3*l + 17 = 5*x - 135, -3*x + 2*l + 92 = 0. Let g = b + x. Calculate the lowest common multiple of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-4))\/(15\/18*504\/112)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 + 2*v - 4. Let s be i(5). Let f = s - 4. Suppose f*a = -a + 9. Solve n + 1 = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let d(w) = -15*w**2 + w. Let o(s) = -2*d(s) + 6*x(s). Find the second derivative of o(m) wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 13. Suppose b - 10 = -2*x, 3*x + 2*b - 5 = 4*x. Let a = 3 + x. What are the prime factors of r(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21593566 or 21593583?\nAnswer: 21593566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1b119?\nAnswer: -1b116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250810793 to the power of 1\/2, to the nearest integer?\nAnswer: 35367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58769\/12 + 4894. Find the common denominator of a and 171\/(-66) - (1 - 1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/655 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101210100 + 2?\nAnswer: 2101210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 6011*s + 4*s**3 - 6012*s + 9*s**3 + 20*s**3 - 29*s**3.\nAnswer: 14*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let d(b) = -17 + 10 + 80*b + 2 - 30. Let f(c) = -9*c + 4. Let u(t) = -4*d(t) - 35*f(t). Calculate u(z(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1448*z**3 + 34 + 1456*z**3 - 34.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)*a**10)\/((a*a*a**(1\/4)*a)\/a*a)**17 assuming a is positive.\nAnswer: a**(-363\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 3\/8, 5, 0 in increasing order.\nAnswer: 0, 3\/8, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 + 19*c**3 - 957 + 957.\nAnswer: 19*c**3 + 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*y - 4673 = -1169. Solve 4*u = -2*h + 10, 7 = -14*h + y*h + 3*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 + 1.779.\nAnswer: 3.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i. Let z(m) = -9938270*m**2. What is z(v(w))?\nAnswer: -89444430*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 2*i**3 - 8*i**4 + 0*i**4 + i**4 + 9*i**4 - 6*i in the form u*i**4 + x*i + p + r*i**3 + g*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*n*v**2 + 96*a*n + 6*a*v**2 + 2*a - 3*n*v**3 - v**3 + 90 wrt n?\nAnswer: -a*v**2 + 96*a - 3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.036 - 8.636. Let d = 3 + w. Let g = -5.600028 - d. Round g to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1245672 and -1\/47304.\nAnswer: 3737016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 - (-7 - (28 - 76))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a + 20 = 0. Suppose -a*d + 46 = -8*d. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12628770 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111011011011000 + 10?\nAnswer: -111111011011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + -0.02. What is the second biggest value in o, -3, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a93a - -27?\nAnswer: -a913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 582657 + 22*r - 582657 + 6*r. Let j(n) = 2*n**2 - 23*n. Give j(z(g)).\nAnswer: 1568*g**2 - 644*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/21 + 6105\/777?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*2*sqrt(3)*-5*-3)**2.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, h: 2, i: 1, d: 2}. What is prob of sequence hd?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1341*a**2. Let w(d) = 28*d**2. Calculate k(w(i)).\nAnswer: 1051344*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (154\/165)\/(315\/(-270))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/80 - 111\/10. Let v = 56\/5 + l. What is the closest to -1 in 2, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003780424 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116\/15 + 1043\/120. Let d = -5\/8 + k. Let g = -314.6 - -315. Which is the closest to d? (a) 4\/7 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-4))\/((-5)\/15). Let i(y) = 0*y + 28 - 11 + 15 + 2*y. Let j be i(-15). Solve -o + m = j*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 59567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:21 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 22 = -2*s, -q = -4*s + s - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**3 - 2*t**2 + 1. Let c be r(-1). Let f(p) = p**3 - 5*p**2 - 8*p + 2. Let a be f(c). Let h = a - -7. Which is smaller: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (4 - -9) - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24011750801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - 31\/(-2). Let f be (0 - 0)\/(4 - 2). Let l be 4 - (0 + f + 0). Solve 2*n - 5*i = v, 8*n - 2*i - 6 = l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 860, 1292?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 63. Let 4*w**2 - 108*w - x*w**2 + 108*w - 8 = 0. Calculate w.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -10.9. Let f = 0.9 + k. Let h = 67 + -66. What is the closest to h in f, -0.5, 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - u + 21330, -z + 3216 = -2*u - 3894. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -0.8. Let m = l + 0.08. Is -0.1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from {f: 5, v: 1, r: 12}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/35*(-63)\/(-180)*-5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -28 + 131 + 235*r + 78. Is g(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 15*o + 89791. Let n(d) = d. What is v(n(p))?\nAnswer: 15*p + 89791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.395 + -0.395. What is the closest to f in 9, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 27\/(-15)*1425\/(-1368)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114521.2 minutes in microseconds?\nAnswer: 6871272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1224 - -290. What are the prime factors of j?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5178 is divided by 56.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425483103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-10)*12*(-40)\/1440.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00335227495 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrixxxxxrrxxrxxxxx. What is prob of picking 3 r?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1599195 and 1599201 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 2*v + 1. Let n be x(0). List the prime factors of 263\/(-1)*(n - 2 - 1).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-138)\/(-28) + (-13)\/(-182). Solve -5*a + 35 = 5*b - 0*b, 0 = -o*a - 2*b + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 203332961.88?\nAnswer: 203332962.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u + 6. Let j = u - -8. Solve j*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5\/9 - 5798*h**4\/9 + 146068*h**3\/9 - 385976*h**2\/9 - 23216*h\/9 + 514624\/9 = 0?\nAnswer: -2924, -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*v + 41*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s + 9. Suppose -39*i - 575 = 76*i. Give r(i).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1315835*b**2*s**2 + 250*b**2 - 23*b + 17 wrt s.\nAnswer: 2631670*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245 + -224.6. Let r = k - 20. What is the third biggest value in 2\/9, r, 4, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5421734 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20498195 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - t - 12 = 0, -t = -4*d + 2*t + 11. Suppose 7*i + d*i + 60 = 0. Let g be ((-30)\/(-4))\/1*(-10)\/i. Solve 0 = 2*k + k + g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h - 31. Let c(w) be the first derivative of w**3 - 875. Calculate c(u(i)).\nAnswer: 108*i**2 - 1116*i + 2883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -206. Let p = -139 + u. Let n = -3 + 3.2. What is the nearest to p in 0, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837 - 37*w**2 + 11*w**2 + 716 - 619.\nAnswer: -26*w**2 + 934","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/10 + 7*p**5\/20 - 5*p**4\/12 + p**3\/6 - 6*p + 11. Let k(g) be the first derivative of q(g). Factor k(j).\nAnswer: -j*(j - 1)**2*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 2012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**48)**4\/((v\/(v**(-2\/57)\/v))\/v*v*v**27\/v) assuming v is positive.\nAnswer: v**(9346\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 198*r**5\/5 + 27*r + 196. Differentiate w(i) wrt i.\nAnswer: 792*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 53 = -c + 209, 0 = -4*t - 5*c - 1003. Let d = 416 - t. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -9*k**8\/112 + 33*k**7\/280 + 17*k**6\/160 - 17*k**5\/80 + 3*k**4\/32 - 3*k**2. Determine d so that n(d) = 0.\nAnswer: -3\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lav when three letters picked without replacement from lenavallel?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 122313?\nAnswer: 122303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -63. Let v = l - 0. Which is bigger: v or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -37019 by -2.\nAnswer: 37019\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3788 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*x + 3097 + 1448 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1 = h. What is the nearest to h in -0.3, 2\/5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/14 and 51\/191248?\nAnswer: 1338736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) - (18\/(-4) - -1). What is the third smallest value in a, -1.43, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13248 - 8277. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxuyyxuyyyyry. Give prob of sequence uyx.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 409785551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5749319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 + g + 21 + 4*g**2 + 61 + 2*g**2.\nAnswer: 16*g**2 + g + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((1 + sqrt(1584))**2 + sqrt(1584)) + 2*(sqrt(1584) - (-1*sqrt(1584) + sqrt(1584)))**2 + (1 + sqrt(1584))*6.\nAnswer: -1581 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 9 + 3*p**3 - 26 as x*p**3 + o*p + y + r*p**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.5.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 249.92166 months?\nAnswer: 2.0826805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*a + 211*a - 253*a + 2240*a + 5471*a.\nAnswer: 7012*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 13*o - 11. Let i be s(5). Solve 2*u = -2*u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 55*i = -200. What is the least common multiple of i and 29?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 72. Let i = 38 + u. Suppose 0 = -i*a + 7*a - 60. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 10*i = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1 - 0 - 1062. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-309 + 309 - 19*f)*(1 + 0 - 3) - 193*f - 148*f + 420*f.\nAnswer: 117*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0, 57.\nAnswer: -1\/4, 0, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10760 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = -o, -28 = -4*o + 10*b - 15*b. Suppose 2*j = 5*m - 10, -o*m = -6*m - 4*j + 36. Solve 3*u + r + 12 = -r, -3*u = m*r + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19568 - -19530.061. Let n = 38 + m. Let u = n - 0.561. Which is smaller: u or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/242)\/((-9)\/12 - -1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (269 + -264)*2\/(-55)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 5*l. Let j(u) be the third derivative of l*u**3 + 1\/228*u**4 + 1\/190*u**5 + 1\/1995*u**7 + 0 + 0*u + 4*u**2 + 1\/380*u**6. Factor j(z).\nAnswer: 2*z*(z + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10)\/(v\/((v*v\/(v**(1\/2)\/v)*v)\/v*v)))**(-48)*(v**(-5)*v*v*v*v*v*v**0*v)\/(v**(3\/5)*v*v*v*v**(-2\/5)*v) assuming v is positive.\nAnswer: v**(1784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/24)\/(2\/56). What is the highest common factor of o and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000434754912 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 != -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-35))\/8*(-5)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20158.83m to nanometers.\nAnswer: 20158830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -513, -515, -517?\n\"Answer: -2*j - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85 in -0.02, -3, 0, -0.5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*b + 6254 = 6317, -6*b + 78 = -4*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -51.798 (b) -3.1 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q)\/((q*q**7\/q*q)\/q)*(q\/q**(-2\/3))**39*q**(-3)\/(q\/(q\/(q\/(q*q*q**(4\/5)))))*(q**(-5\/6)*q)\/(q*(q*q\/(q\/q**(-6))*q)\/q) assuming q is positive.\nAnswer: q**(1619\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + 0. Let j = -50.97 - -48. Let h = m + j. What is h rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*s - 8 = 0, 0 = 2*f + 5*s - 3*s + 8. Suppose -23*t = -f*t - 9890. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 5023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175826.\nAnswer: 2, 7, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let w(t) = -t**3 - 4*t**2 + 5*t - 2. Suppose -3*d + 3 = x + 7, 3*x - 2 = -2*d. Let b(f) = d*k(f) + w(f). List the prime factors of b(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1 - 5*w**2 - 4*w - 6*w + 4*w - 4*w**2. Let z(b) = 8*b**2 + 5*b + 1. Suppose 646*s - 651*s = -20. Calculate s*q(r) + 5*z(r).\nAnswer: 4*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53151238 to the power of 1\/2, to the nearest integer?\nAnswer: 7290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225.45 - 225.75. What is the second smallest value in 0.3, -1\/2, 4, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734378 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 116\/9, -12 in increasing order.\nAnswer: -12, 0.3, 116\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1176, 4, -3 in ascending order.\nAnswer: -1176, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1511*m**6 + m**2 + 295*m wrt m.\nAnswer: 181320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3430 is divided by 243.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 2, r: 1}. Give prob of sequence wp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from tttwtttttttt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329686*a**2 - 329121*a**2 - 329106*a**2 + 987914*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*x + 48. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**8\/a**(-3))**0)**(-2\/63) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*g - 19. Suppose g = n - 3 + 2. Solve -29 = 7*o - n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -84. Suppose -3*d = 9*d + b. Let k = d - -7. Solve -h = k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -19. Let y = 9\/20 + 7\/20. Which is the smallest value? (a) 3 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*d**5 + 984*d**4 - 3986*d**3 + 3772*d**2 + 1608*d + 144 = 0. Calculate d.\nAnswer: -1\/6, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.67 - 3.79. Which is the nearest to t? (a) 2 (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899274 to the power of 1\/2, to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 80835.57 + -4\nAnswer: 80831.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 4. Suppose -9 = 3*k - 0*k. Let l be h(k). Suppose t + 64 = l*t. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23616.36 - 23254. What is b rounded to zero decimal places?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6008 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + 271\/(-7). Let p(x) = -x**3 + 6*x**2 + 3*x + 1. Let f be p(7). Let l = f - v. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9697 + -9693. Sort 9, 12, 0, v, 3 in ascending order.\nAnswer: 0, 3, v, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 83?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {r: 1, j: 4, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)*(-5)\/(-2). Let l(s) = -66*s + 29. What is the units digit of l(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44655017 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/48 + 19*q**3\/24 - 15*q**2\/2 + 5*q + 10. Factor j(m).\nAnswer: -(m - 15)*(m - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 20*n + 11. Let w(i) = -i**2 + 7*i - 4. Let u be ((2 + -114)\/7 - -17)*(-3)\/1. Let r(v) = -v - 17. Let q be r(-9). Determine q*w(l) + u*p(l).\nAnswer: -l**2 + 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*z**3 - 2*i**2*z**2 - 5*i*z**3 - 10*i*z + 1 wrt i.\nAnswer: -2*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4634 is divided by 240?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*q - 32 + 98, -2*q + 12 = 4*r. Solve 5*l = 10, -4*g = -21*l + 20*l + q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 52*v**2 - 9 + 9. Let c(a) = -2*a. What is c(u(l))?\nAnswer: -104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*u = 109*u - 881463. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(0*p**2 + p**2 - 3*p**2) + 2*p**2 - 4*p**2 + p**2 + (p + 2*p - 2*p)*(p - 2*p + 0*p) + 9*p**2 - 12*p**2 - 18*p**2.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219 + -219.00452. Round s to 4 dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59263650 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 4. Suppose s*b - 16 = 2*b. Factor 5*f**b + 2 - 5*f**2 + 8*f - 2*f**3 - 2 - 6*f.\nAnswer: f*(f - 1)*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-312))\/(2365\/(-1892)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from haahhaiaasiahaa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(19) - 2*(sqrt(76) + sqrt(19)) - (-4 + -1 + sqrt(19))) + 2))**2 - (((0 + sqrt(684))*2)**2 + (1 + sqrt(684))*-4 + 2).\nAnswer: -1320*sqrt(19) + 8994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 7*l**2 + 7*l - 9. Let q be k(8). Suppose -1799 + 1729 = -v. Calculate the remainder when v is divided by (-1 + 0)*q + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let t = 1.52 + -1. Let o = -0.22 + t. What is the closest to f in o, 0.2, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + -0.09. Let z = 0.3218 + m. What is z rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**6\/360 - h**5\/24 + 11*h**4\/24 + 2*h**3\/3 - 1. Let l(p) be the third derivative of i(p). Is l(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -263*p**6\/10 + 11*p**4\/24 + 11*p**3\/2 - 261*p**2. What is the second derivative of l(k) wrt k?\nAnswer: -18936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.7. Let t(n) be the second derivative of -n**4\/12 - 2*n**3 - 5*n**2 - 3*n. Let q be t(-11). Which is the nearest to -2? (a) s (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - (-32028)\/204 - (-1 - 2)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 193 = -5*d + 169 - 432, -5*d - 70 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -34145 + 0*p**2 - 4*p**2 + 34145. Let k(h) = 2*h**2 + 6*h. Calculate d(k(x)).\nAnswer: -16*x**4 - 96*x**3 - 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + 3*p + 6*p)*(-3*p + 2*p + 8*p) to r*p**2 + l*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = 4*p + 12*p + 25*i - 30*i, i + 57 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(550) - -1*sqrt(550) - ((sqrt(242)*-2)\/sqrt(11) + sqrt(22))))\/((sqrt(99) - sqrt(99)*-2)*6 + 3*2*sqrt(99)).\nAnswer: 11*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-18))\/(q*q**9) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 114. Suppose -r + 112 = 18*q. Solve -28 = q*h - g, 4*h - 4*g + 9*g = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -35*y - 5*y. Let u(q) = q**2 + 9*q + 20. Let r be u(y). Suppose 1\/5*g**r + 5 + 2*g = 0. What is g?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.453 or 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21226208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 8397125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11237 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (-3 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (609\/58)\/(-21)*(20\/48)\/(-5)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 263b?\nAnswer: -263c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 490 - 487. Let w(c) be the third derivative of 0*c**4 + 0*c**5 + 0 + 1\/15*c**6 + 0*c + 10*c**2 + c**i. What is the derivative of w(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 37?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnnnllnnnlnln. Give prob of picking 3 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 2*f**2 + 5*f - 4. Let k be l(3). Solve p - a = -p - 2, -2*p + k*a - 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*r**6 - 9*r**5 + 1061*r**2 wrt r?\nAnswer: -1560*r**3 - 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-54 - -44 - -53).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 27883712807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*3\/2*-14)\/((-36)\/648*18)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(16\/7)*w*w)*w)\/w**(8\/5)*((w\/((w\/w**(1\/6))\/w*w))\/w)\/(((w\/w**3)\/w*w)\/w))**(-2\/11) assuming w is positive.\nAnswer: w**(361\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 79, -5, 0.271, -4, 3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*c*l*y**3 - 168708*c*l + 2*c*y**3 - l*y**3 - 34*l*y**2 + 633379*l*y wrt c?\nAnswer: 58*l*y**3 - 168708*l + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -664 + -205931\nAnswer: -206595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.7 + 13. Put -7, 2\/7, z in descending order.\nAnswer: z, 2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 226 in -4, 1, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -168. Is 41 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**8\/840 + i**4\/24 + 5*i**3\/6 + 2*i**2. Let u(b) be the first derivative of q(b). Find the first derivative of u(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/28*14\/3. Solve 1 = 5*t - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = -4. Let x = 19 - g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let y = -406 + 401. Let q(d) be the first derivative of 5*d + 11. Determine y*r(s) - q(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -18. Suppose -r*c = -3*c - 42. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:32 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**3 + 2*w**2 - 562*w + 1. Determine a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 2651976.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 4*d + 5*d + 10*d - 9*d**2.\nAnswer: -9*d**2 + 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = 2*a. Let k = -35 - -6. Let z = -27 - k. What is the lowest common multiple of a and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780774 divided by -5?\nAnswer: -1780774\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14415 divided by -5?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 649 + 2*t - 649.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-21))\/((-12)\/(-924)). Suppose -208 = j*y - 82*y. Calculate the remainder when 584 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjdgjjdddj. What is prob of sequence jjdd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvuuwuvgvvpvupuwggg. Give prob of sequence vwup.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 31 + 55 = 4*d, 3*q = -15. Suppose d = -2*u - 17. Let b be (-6)\/9*3 - u. Solve b = -4*g + 2*y, 4*g - 2*y + 10 = 3*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 1753869*g**2 - 38 + 27*g**3 + 1753869*g**2.\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1127 and 22736.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 65. Let m be (n - -16)\/(10\/8). Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2128, -4033, -5962, -7927, -9940, -12013?\nAnswer: -14158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 14) in base 13?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -c - 20171, b - 6*c = 7712 + 2346. Is b smaller than 10088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45009762019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10 = 0, k - 53 = 3*v - 4*k. Let s = -12 - v. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 208*h - 7525. Suppose -16 - 15 = -f. Calculate the remainder when o(-161) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112170718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31755 is divided by 254.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23786516 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = -5. Let l = -500 + 506. Which is smaller: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 - 76 - (-3 - -5 - -40).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) + (-178)\/9. Let n be (-8)\/t + 18\/5. Let d(r) = -6*r**2 + 2*r - 5. Let k(b) = -18*b**2 + 6*b - 14. Calculate n*k(m) - 11*d(m).\nAnswer: -6*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768197*w + 384125*w + 384100*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/15*(-15)\/(-3). Let b = a + 61. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -11.9383?\nAnswer: 8.9383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 + 20*f**2 + 22*f - 23. Let m(x) = 14*x**3 - 59*x**2 - 61*x + 65. Let i(w) = 4*m(w) + 11*q(w). Give i(16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -1. Let u = 564001.02 + -564001. What is the closest to -2 in x, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 281869.79453?\nAnswer: -281869.59453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 187\/20 > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272 - 225 - 97 - 3*f**3.\nAnswer: -3*f**3 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*t + 49 - 837, 4*t = 2*g + 800. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555614 is divided by 4274?\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(540)\/(1*sqrt(12)) - sqrt(45))*-6)\/(-3*-3*sqrt(324)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771762.\nAnswer: 2, 3, 293, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) -1 (c) -0.3 (d) 174783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1414740 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 55*m + 5105. Give u(-93).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0 = 3*u + 3, 13 = -n - 4*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0506259 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 98126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 - m**3\/3 - 4*m**2 + 33*m. Let p be b(4). Solve p = 3*o + 4*a - 23, 2 + 8 = 5*o + a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20010111 (base 4) in base 9?\nAnswer: 50286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.466 - -150789.466. Let a = 150774.60038 - l. Let p = 1.6 - a. What is p rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1594*d = 61230 + 79291 - 11407 for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -754 + 816. Is q greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 - -203.2. Round a to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63991406 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -0.1, -2\/3 in ascending order.\nAnswer: -2\/3, -0.1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 195.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Suppose g = 3*p - 2*p. Is 1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*g**3 - 1378*g**3 + 653*g**3.\nAnswer: -109*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 - 15*k**2 + 16*k - 182. What is the tens digit of s(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-8))\/((-3)\/8). Let m be 3\/(-48)*g\/3. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (4 + -6)) + 0\/(-192).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3)\/f))\/(f*f*(f**0*f)\/f)*(f**0\/f*f)**2*(f*(f*f\/(((f**(-1\/4)\/f)\/f)\/f)*f*f)\/f*f*f)**(-2\/49)\/(f*f**(1\/2)*f)**(1\/8) assuming f is positive.\nAnswer: f**(1811\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - (-4 + 2)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*c**3 + 1946*c**2 + 15144*c - 2376 = 0. What is c?\nAnswer: -66, -9, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 + a - 24. Let w be s(0). Let q be (-4)\/10 + w\/(-10). Differentiate q - 5 + 2 + 2*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 6. Let z be a(-4). Factor z*p**3 + 2*p + 11*p**2 - 10*p**2 - 3*p**3.\nAnswer: -p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*1)\/(sqrt(55)\/sqrt(99) + sqrt(5)) - ((sqrt(128) + (sqrt(128) + 0)**2)*-3 - (-2 + (sqrt(128) + 1)**2)).\nAnswer: 89*sqrt(2)\/2 + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let d = 343.5 + -18. Let n = d + -326. Which is the closest to -0.2? (a) y (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 354\/(-5 - -6) - 1. Let u = d - 355. Factor 21\/5*p + u*p**2 + 3\/5*p**3 + 9\/5.\nAnswer: 3*(p + 1)**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*n - 20 = 0, 3*w - 32 = 5*n - 7. Let x be (1\/(-2))\/((-4)\/16). Suppose -4*b = -y + 3*y - 10, -b - y + x = w. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 6. Give b(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 64175995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**3 - 4*k**3 + k**3)*(1 + 3 - 2)*(0 + 2*k + 0) to the form b*k**4 + i*k**2 + q*k**3 + l*k + c and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70900868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/275 and -11\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {h: 3, b: 1, x: 6, q: 1, w: 8}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -281115.405 rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let l(w) = w - 2*w + n + w**2 - 5*w. Let h(j) = j + 10. Let i be h(-6). What is l(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12398510, 12398512, 12398514?\n\"Answer: 2*i + 12398508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2343 (b) 1 (c) 3 (d) -12\/7 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umummmmmmmmmm. Give prob of sequence mmu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 6310*v**3 - 2 + v**2 - 5*v**2 + 4*v**2 - 6050*v**3 to d*v + a*v**2 + f + m*v**3 and give m.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13166 and 59928?\nAnswer: 1737912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/24894234 and 49\/124471170.\nAnswer: 124471170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 greater than or equal to 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*q, q - 251 + 880 = 5*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -158 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 24. Suppose 9 + 15 = 2*f + 5*s, 0 = 2*f + 2*s - k. Let v be f\/(-4)*(3 - 9). Sort -4, v, -1.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y. Let w(r) = -3*r - 2. Let s(z) = 7*z + 5. Let x(n) = -2*s(n) - 5*w(n). Calculate g(x(o)).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1349 and 950.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*l**3 - 120*l**3 + 170*l**3.\nAnswer: 227*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m**2 + 18*m + 12*m**2 + 3 - 44*m**2 + 16*m**2. What is the remainder when 11 is divided by w(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -83. Suppose u - 8 = -3*x, 3*u - w*x = -2*x + 13. Solve -s = -4*a - 14, -u*a + a - 18 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 11\/69 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81 + 53345?\nAnswer: 53406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from mssssmsssfff.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9057.287g?\nAnswer: 9057287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 + 45*n + 9. Let p(j) = -5*j - 1. Let u(o) = 18*p(o) + 2*z(o). Let g(d) = d - 4. What is g(u(b))?\nAnswer: 12*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2899 + 41*d + 219*d + 2899 to the form m*d + f and give m.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -106293 and -0.031?\nAnswer: 3295.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -8.\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -356.6 + 319.3. Let h = -29.5 - -30. What is the biggest value in 3, c, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8421 + 6703. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*s - 5*s**3 - 53*s - 61*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21949 - 21948.6. Which is greater: -821 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 11}. What is prob of picking 1 p and 2 c?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + z = -5*v + 136, 11*v - 51 = 233*z - 232*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 12*b - 23. Let i be z(9). Sort i, -1, -9, 0.3 in ascending order.\nAnswer: -9, -1, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*d - 73, -17*d = -21*d - 4*f + 56. What is the third derivative of 27 - 4*p**3 - 8 - d + 27*p**3 - 5*p**2 + 146*p**3 wrt p?\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*r - 38*r - 6, 2*r + r = 105*b + 99 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7120762 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 18.1. Let m = f - 0.5. Round m to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*g - 212 - 217 + 44 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20.98 from 55.47.\nAnswer: 34.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + 212. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/(-24) - 2\/(-8). Suppose 62 - 14 = f*h. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {w: 1, d: 1, b: 4, p: 4, y: 2, z: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.96 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + g + 3. Let d(c) = -c**2 - 6*c - 4. Let q be d(-4). Let z be w(q). Let v be (2 + (-15)\/z)*3. Calculate the highest common divisor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 16 - 26. Let q(y) = -46 - p*y + y**2 - 40 + 95. Calculate q(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.35 + -22. Let f = 0.35 - k. What is the nearest to 0.1 in 1\/4, -1, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*a + 3*a + 90, 0 = -2*n - a + 61. Let g = -27 + n. Solve -g*x = -2 - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34093 or 6716212\/197?\nAnswer: 6716212\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from {i: 3, j: 1, p: 1, f: 1, g: 2, u: 10}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (62*t**2 - 18*t - 64*t**2 - t**4 - 4*t)*(-1 + 1 + 4) in the form m*t**4 + i + s*t**2 + f*t + c*t**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10000000110001110?\nAnswer: -10000000110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t - 251 + 315. Solve 2*q - t*j + 34 = 0, -4*q + 0*q = -j + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 33. Let c(h) = 7*h - 31. Give -10*c(g) + 11*p(g).\nAnswer: -4*g - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:23 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46723 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 1 = -2*w + 2*q, 2*w - 3*q + 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021527 rounded to 6 dps?\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 79?\nAnswer: 9\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86602878 is divided by 640?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18652542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1811, -2472, -3119, -3746, -4347?\n\"Answer: o**3 + o**2 - 671*o - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -2 - 2986\/(-1489). Let o = c - -144353\/14890. Find the common denominator of (0 - (-3)\/(-9)) + 836\/684 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 851 or 854?\nAnswer: 854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557175701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 532 and 266956?\nAnswer: 35505148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9609 rounded to the nearest 100?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207706 divided by -103853.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42323953547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14846 - 1547 = 11*z. What is the highest common divisor of 93 and z?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 3 + sqrt(170)\/sqrt(90)).\nAnswer: -12 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34752817*u - 69505652*u + 34752839*u + 24*u**3.\nAnswer: 24*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (213\/102 + -2)*-2. Let z = 1149 - 1148. Is z less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 1537 - 1545. Suppose -5*c = 25*s - 26*s - 3795, 4*s = -q*c + 1540. List the prime factors of c.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.3550064456163 and -9?\nAnswer: 13.3550064456163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from gwggwgggggwnwgwwgga.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 4*t = 0. Solve 2*w + 2*w + 5*z - 5 = t, 0 = w - 2*z + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 21*t**2 + 439*t + 220. Give j(-34).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.025 + 0.008. Let l = x + -4.033. Let q = -2 - -4. Which is the second smallest value? (a) l (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -z. Differentiate 9 + 9 - 4*t**4 + z + 19*t**4 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 2, -3, 3.4, 1, 485?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -3*y - 2350000. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5014 divide 2912337981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13099 (base 14) in base 15?\nAnswer: dcdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1298, -4091, -8730, -15203, -23498, -33603, -45506?\n\"Answer: 2*l**3 - 935*l**2 - 2*l - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 + (-12)\/20. Let s = -7 - -4. Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 33. What are the prime factors of t(-13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)*c**0\/c*c*c**(-2\/19)*c**(-8\/7) assuming c is positive.\nAnswer: c**(-299\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Factor -4*k**4 + 3*k**2 + k**4 - k**2 + k**n.\nAnswer: -2*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 - 6*w**2)*(232*w**3 + 229*w**3 - 460*w**3 + 166*w**2).\nAnswer: -6*w**5 - 996*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.039?\nAnswer: 0.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 375*o**2 - 138*o - 15. Let d(a) = 94*a**2 - 35*a - 4. Let h(s) = -15*d(s) + 4*v(s). Find the second derivative of h(c) wrt c.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 5, 4, 284\/27, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 57 = -3*x + 25, -2*x + w = -54. Let s = x + -23. Suppose -s*q = -1 - 109. Solve -4*h - 15 = 3*o, 5*o + q = 2*h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -33*j - 58. Let s be k(-2). Factor 16\/3 - s*x + 3*x**2 - 1\/3*x**3.\nAnswer: -(x - 4)**2*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -325 + 334. What are the prime factors of (-1224)\/x*-5 - 0?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -983, -4, -290.7, -2 in descending order.\nAnswer: -2, -4, -290.7, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 12:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imimbmjijmimvbmmiib. Give prob of picking 1 m, 1 j, and 2 i.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 80 = -2*d, d - 18 - 28 = -l. Suppose -n - 42 = -2*t, 3*n + d = -t + 3*t. Suppose -t = -2*u - 5. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 70 - y**2 - 28*y + 9 - 33 + 62. Determine u(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*(-1 + 4). Suppose s + 5 = g, 0 = m*s - 5*g + 29 - 4. Suppose 2*b - 5*c - 48 = s, -4*c + 2*c + 120 = 4*b. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 13) + 0 + 1 - (-16 - -16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.78646 litres?\nAnswer: 1786.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*f + 0*f + f)*(3 + 0 - 5) - 3*f + 4*f + 0*f)*(2424690 + 2352*f - 2424690) in the form b*f + w + m*f**2 and give m.\nAnswer: 7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -0*q - 4*q, -q - 1 = -2*k. What are the prime factors of 0 - (k + 1) - (-126)\/3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -3. Let z = g + 21. Calculate the lowest common multiple of 12 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*p**3*q**2 + 1689*p**3 + p**2*q + 3*p*q + 62305*q**2 wrt p.\nAnswer: 234*q**2 + 10134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 8 - (-13 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 5*x - 3*x + (2*x - 6*x + 2*x)*(-11 + 20 - 14))*(-x + 0*x + 3*x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 8. Suppose -2861 = -5*p + h*w, 1075 = 5*p + 4*w - 1798. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68853950.\nAnswer: 2, 5, 11, 23, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148.2 - -141.2. Which is the fourth smallest value? (a) 10 (b) -0.2 (c) 2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 3*r**2 + 0*r**2 - 4*r**2 + 16*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107993 is divided by 234160?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:09 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-7 + 6)\/((-2)\/(-82)). Is (2 - 3)*(l - (1 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2968830 divided by 494805\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*w - 68*w + 93*w)*(6 - 3 - 1) + 23*w - 99 + 99.\nAnswer: -31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 + 48*c + 30. Let f be g(10). Solve -f + 130 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -2 (c) -1\/3 (d) 0.144 (e) -6\/7 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 356604673 to the power of 1\/3, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 2, c: 4, g: 1, z: 1, t: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3 - (-14 - 0)) + 1. Suppose -2*q - j - o = 0, -5*j = -4 + 29. Let c = q - -16. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -6*i + 1269. What are the prime factors of i?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - -0.3. Let c = 2148 + -2269.9. Let j = c - -122. What is the nearest to 2 in u, j, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12 - c**2 + 9*c**2 - 10*c - c**3 + 0*c**3 + 6*c**2. Let i be y(9). Suppose i = 6*m + 87. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3480, -3695, -4054, -4557, -5204, -5995?\n\"Answer: -72*b**2 + b - 3409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -4*l**5\/15 + 11*l**2. Let i(w) = -2*w + 2*w - 5*w + 4*w. Determine r(i(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*q**3*x**2 - 5*q**3 + 2 wrt x?\nAnswer: 112*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let k(d) = 7176*d. Calculate k(b(g)).\nAnswer: -7176*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-five halves of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 131*((-120)\/136 - (-4)\/(-34)). Let d = f - -172. What is the remainder when 158 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-36)*-4 - (-52)\/(-234). Let c = 10 + -15. What is the smallest value in x, c, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6043326.3919+3\nAnswer: -6043323.3919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 78347.602 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -397 and -0.7374.\nAnswer: 292.7478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 - q**2. Let x be g(1). Let l(k) = -8*k - 4. Let d be l(x). Let v be (d\/(-14))\/((-3)\/2). Is v at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 11. Suppose 4*n + 2*g - l = 5, 5*n - 4*g - 34 = 0. Let h be n\/(-33) - 4\/(-22). Which is smaller: h or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o - 79 = -179 - 3 - 47 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -119.9999947. Round l to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {h: 2, r: 2, z: 1, g: 1, f: 1, p: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -13, -0.3, 4, 0.08, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 - 1777214*g + g**3 + 1777214*g.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 32. Let a = r - -1. Let i = 108 - 108.5. What is the closest to -1\/3 in -4\/3, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 0.2 (c) 0.4 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(76)*-3 - (sqrt(19) + (sqrt(133)\/sqrt(28))**2)).\nAnswer: -7*sqrt(19) - 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 31 = 64. Let g(p) = p**3 - 2*p**2 + 5*p - 4. Let i be g(1). What is the nearest to -2\/5 in u, 4, 1\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25052790 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 9:28 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*m = -84, 7*c + 5023*m = 5026*m + 157 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**3 + 2*c**2 - 2*c + 1. What is the lowest common multiple of q(1) and (45\/(-10))\/(117\/(-5512))?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101101000101 (base 2) to base 10\nAnswer: -11077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7254)\/155 + 32 - (-16)\/20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 1. Let z be t(2). Let n = z + -13. Let s = 12 - n. Calculate the highest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10626*l**3 - 5*l + 41*l**2 - 38*l**2 - 1 - 3. Let r be k(-4). What is r rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/70 + 5*a**4\/84 - 2*a**3\/21 - 3*a**2\/2 - 2*a. Let r(c) be the first derivative of p(c). Factor r(m).\nAnswer: -2*(m - 1)*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3188.994829 + 3189. What is q rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-8)\/3). Let s = 33 - 27. Suppose -4*x = -2 + s. Is x != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 643*a**2 + 595*a.\nAnswer: 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*u + 394, -f + 3*u = -0*u + 138. Let s = 237 + f. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*z + 3 = -5*z, z - 7 = -4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 4013*y**3\/3 + 3911*y - 4179. Differentiate g(k) with respect to k.\nAnswer: 8026*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4250\/(-2550)*(-12)\/(-50)*5*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*f - 745666, -4*f + 3*f - 1118507 = -3*n. Let m = 34 + -31. Suppose -m*t + n = 51837. What is t rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 10. Suppose -2*b = -2*k + 364 + 60, -2*k - 3*b = -429. Calculate the remainder when k is divided by f(17).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*p - 205*p - 269*p - 59*p.\nAnswer: -409*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 minutes before 2:00 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3430103 or 3430107?\nAnswer: 3430107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -358, -482, -574?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4732, 3388, 1164, -1934, -5900, -10728, -16412?\nAnswer: -22946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and (-2 + (-42)\/(-22))*31?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 330, 1249, 2758, 4857?\n\"Answer: 295*h**2 + 34*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -167*k**5\/20 - 119*k**2\/2 + 75*k. Differentiate q(f) with respect to f.\nAnswer: -501*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*-1 + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 15\/(-6) + 2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w - 5044 = -15*w - 7322 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1393 - 1333.62. Let y = n + 0. Let m = 64 - y. Round m to 1 dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:39 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -75804102 divided by 2?\nAnswer: -37902051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/98 and -167\/84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.017 + -0.383. Let t = -0.4 - -0.3. Sort -2, b, t in increasing order.\nAnswer: -2, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211002120 (base 3) to base 15\nAnswer: -4b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, x: 16, v: 1}. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189892433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 109*t**2 - 259*t + 58. Let u be g(-52). Factor -u*i**2 + 2\/7 + 8\/7*i.\nAnswer: -2*(3*i - 1)*(7*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2155 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 11184188*o\/3 + 15635757652418\/3.\nAnswer: 2*(o + 2796047)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*z = -116*z + 7668 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, c: 1, w: 5, y: 3}. What is prob of picking 1 y, 1 e, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -0.087.\nAnswer: -1.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 23589401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -187 and 5976 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1168527 + 1164522.914. Let s = 3978 + t. Let c = s - -26. What is c rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -1468642.3?\nAnswer: 1468641.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**2\/6 + 47530*i + 677730270 = 0.\nAnswer: -28518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -23075*i - 6553307. Determine c(-284).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6993, 8487, 9981?\nAnswer: 11475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 3*p**3 - 11*p**2 - 2 + 63*p + 4*p**3 - 57*p. Calculate the lowest common multiple of h(4) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - l**2)*(3*l - 4*l + 0*l) + l**2 - 3*l**3 - l**2)*(-63*l + 165*l + 33*l) to v*l + d + i*l**4 + h*l**3 + c*l**2 and give i.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 10) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 30 = -3*x - 0*x, -5*x - 42 = -4*q. Let d = 1586 + -1577. Which is the nearest to x? (a) d (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 14*l - 31. Let f be t(15). Let v = f - 342. Does 49 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 58811*z**3 - 1.\nAnswer: 58811*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21770041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/10)))**15 assuming c is positive.\nAnswer: c**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 453, 2, -3, 4.\nAnswer: -3, 2, 4, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/4 - y**3 + y**2 - 5*y + 119. Calculate s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -2)*(-1 + 0). Calculate the common denominator of 35*(-22)\/539*-7 + -5 + (-279)\/(-36) and (((-745)\/x)\/(-5))\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*d = -4*d + 944, -2*z + 456 = 2*d. What is the highest common factor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461491 times 12.2?\nAnswer: 5630190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(88)\/(sqrt(392)*5 + sqrt(392))*-5)**2.\nAnswer: 4400\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -769, 20, 3\/7, 1\/2, -1 in ascending order.\nAnswer: -769, -1, 3\/7, 1\/2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070794208 rounded to 3 dps?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1*4 - sqrt(117)*6)**2.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + -3 + 1 - (2 - -1). Let l(p) = p**3 + 12*p**2 - 13*p + 15. Let z be l(t). Suppose -23*w = -28*w + z. Solve -6 = -w*o + 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30*5\/((-50)\/(-4)). Solve -5*l + l + n = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -17)*(1 + 5). Let y(c) = -c**2 - c + 1. Let m(j) = 117*j - 49*j + 2 - 101*j - 22*j**2 - 8*j**2 + 31. Calculate x*y(q) + 2*m(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111010010110110000?\nAnswer: 111010010110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*k**2*w + d**2*k**2 - 13*d**2*k*w - 3*d**2 + 1401884*k**2 - 81*k*w - 3*k + 7*w wrt k?\nAnswer: 2*d**2*w + 2*d**2 + 2803768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 521 + -298. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 13363382.\nAnswer: 93543674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (5 - -1) - (9 + 0 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 - -251. Calculate the remainder when s is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2 + 41*j*x - 3*j - 49*x - 6 wrt j.\nAnswer: -4*j + 41*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 - 1323?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-329)\/940*(-4)\/14. Let g(h) be the second derivative of -2*h + 0*h**4 + 5\/6*h**3 + f*h**5 + 0 + 0*h**2. What is the second derivative of g(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 - 22*d - 203. Calculate f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*a + 0*a**3 - a**3 - 331 + 109 + 9*a - 442 wrt a?\nAnswer: -3*a**2 + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-23)\/(-115)*5\/(-3).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*k - 3, -3*w = -3*k - 8 - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + b - 1, 32*b - 39*b - 53 = -5*v. Solve -4*k - f - 7 = -k, -4*k + v*f - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 + 14*z**3 - 53*z**2 + 40*z = 0. What is z?\nAnswer: 0, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 755, 1132, 1517, 1916, 2335, 2780, 3257?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 428*u\/9 - 3216.\nAnswer: 2*(u - 268)*(u + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 - 4*m - 3. Calculate the remainder when 8 - 13 - -35 - -9 is divided by q(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*t + 91 = 0. Solve i + 3*i + 10 = 2*g, 2*i - t = -5*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/21 (b) 3 (c) 9475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*i + 3 = 1, 5*i = 10. Let f(b) = -b**3 - 3*b**2 + 5*b - 1. Let a be f(o). Let r(n) = -n**3 - 5*n**2 + n + 4. Determine r(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713509 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - 1*(sqrt(320) - (-4*sqrt(320) - sqrt(320)))) + (sqrt(320) + -2)*3)**2.\nAnswer: 192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.945 + -0.055. What is the third biggest value in 1\/2, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dubbmra. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 694207\/930195 + -4\/14765. Calculate the common denominator of i and -11\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.68011952975 + 0.9.\nAnswer: -3.78011952975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, 8, -4, -3 in decreasing order.\nAnswer: 8, 2, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 0, 6*u - 5*u = 3*n - 6. Suppose -7308 = -k + v, 15992 + 5925 = u*k + 4*v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13296\/272 + 12\/102. Solve 44*y + 20 = d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -88. Suppose 2*g - 14 = -4. Let n = -12.58 + 12.28. Which is the third smallest value? (a) g (b) i (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*t**2 + 19*t**3 - 15*t**2 + 3*t**5 - 13*t**3 + 15*t**4 - 9*t**2 = 0. Calculate t.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 39*c - 38*c + 22, 0 = 3*g - 4*c - 63. Suppose -4*b = -p + 9, -5*b - 2*p = -0*p + 8. Sort g, 0, b, 3 in decreasing order.\nAnswer: g, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*d + 90 + 210, -2*y + 340 = 5*d. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-534)\/1157 - 227\/(-13) is divided by (8\/10)\/((-2)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16120\/3 + 5375. Which is the second biggest value? (a) -3 (b) -1\/3 (c) 1 (d) k (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6*l + 2*l - 76, 0 = 5*b + 4*l - 84. Calculate the greatest common factor of b and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 + p + 2. Let a be n(0). Suppose 0 = -4*m - 16, 4*r - 3*r - a*m - 165 = 0. Suppose -2*o = -w - 718, 5*w - 1265 - r = -4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 3. Suppose 5*a + 20 = 9*a. Calculate z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17*80\/5)\/(1\/(-2)) is divided by 521?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16 - 20501*q**3 - 2*q + 13 - 11454*q**3.\nAnswer: -31955*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/30 and -20\/141.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0 = -0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 greater than or equal to 1184\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((492\/12)\/738)\/(1\/21)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15146840 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: Round -0.000010698 to 7 decimal places.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92, -93, -96, -101?\n\"Answer: -y**2 + 2*y - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) + -1)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6538 and 27\/8?\nAnswer: 26152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.01, 0.1, -0.48?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**5\/30 - 17*a**4\/8 - 37*a**3\/2 - 509*a**2\/12 - 38*a - 5765. Factor p(j).\nAnswer: (j - 57)*(j + 1)**2*(j + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 38 = 12*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 + -446 + 27 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -4, -460020?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1295 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3)\/(-30) - (-1372)\/35. Suppose 38*c + 5 = m*c. Solve p + 2*x = -13, -x + 29 = -c*p - 2*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -247, -237, -227, -217?\n\"Answer: 10*z - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -5, -104, 8, 152.\nAnswer: -104, -70, -5, 8, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6703 is divided by 267.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 + -23)\/(-250)*(-1 + -3 - -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236\/30 - (18 + -10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - 3) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*v - 12194 + 2307 - 8469 = 0 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -26*q - 7*q - 6*q. Let h(b) = -42 + b**2 - 2 + 44. What is h(l(s))?\nAnswer: 1521*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -19*v + 6597. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2688.243 to the nearest 10.\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 5*m - 2, -3*v - 12 = 2*m. Solve 3*s = -m + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t. Let m be (-15 + 12)*(-1)\/(6\/4). Let x(s) = 10*s**2 - 13*s**2 + 5*s**m + s**2. Calculate v(x(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:44 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -245, 6, -4 in decreasing order.\nAnswer: 6, -3, -4, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2510 - 46*r - 2510)*(1 + 1 - 9).\nAnswer: 322*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 111701 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 780433 + 3?\nAnswer: 780436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + 19. Let y be (u\/(-9))\/((-4)\/36). Solve 4*f - 3*c + 0*c = -5, y*c + 12 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/5404 and -73\/149982.\nAnswer: 57893052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.662855 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532913 (base 10) in base 7?\nAnswer: 16013064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90295901161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 2, -308?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 656249723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 731480 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 16*x**2 - 83*x - 52. Let h be s(42). List the prime factors of (-52)\/(-390) - h\/(-30).\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -19*f + 18*f. Let r be f - 0 - (-1 + 15\/(-5)). Suppose 0 = -r*s - 9, 0 = z - 2*s - 3*s - 1092. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 4*n + 2. Let f = 16 + -12. Suppose -f*s = 3 + 5. Give h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702584.\nAnswer: 2, 3, 13, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 + 199*t**3 - 2737*t**2 + 4061*t + 6996 = 0.\nAnswer: -212, -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = w - 64, 5 = 4*r + 1. Suppose 5*s = 3*d - 61, 6*d = 3*d + 3*s + w. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 3*b + 3*b)*(b + 2 - 2) + (-4*b + 4*b - b)*(-b + b + 2*b) + b**2 + 2*b**2 + 2*b**2 as t*b + l*b**2 + n and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15064014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 179*c**3 - 11*c**2 + 14*c - 23. Let t(z) = -89*z**3 + 6*z**2 - 7*z + 12. Let f(g) = 6*l(g) + 11*t(g). Find the second derivative of f(m) wrt m.\nAnswer: 570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s + 3. Let r be b(-13). Suppose r*w = 101*w + 54. Solve 0 = 5*u - 2*u - w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.046 and 172.\nAnswer: 7.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -21466316779?\nAnswer: 21466316779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -10, -4 + 14 = -5*i - 3*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62346434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3906 is divided by 186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10011011010101111001 (base 2) to base 3\nAnswer: 1012022210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - p)*(0 - 2 + 4)*(-4*p + 2*p + 5*p) + 0*p**2 + 4*p**2 - 3*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 6, j: 2, h: 5, p: 3}. Give prob of sequence pv.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**(1\/6)*j**8*j*j**(-1\/10))\/(((j*j\/(j*j*j**(2\/3))*j*j)\/j*(((j*j**(2\/3))\/j)\/j)\/j*j)\/(j**(2\/11)\/j)**(-22)) assuming j is positive.\nAnswer: j**(1213\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -48, 4, -8.\nAnswer: -48, -8, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 354, -0.03, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peehkh. Give prob of picking 1 p, 1 h, and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/24)\/((-3)\/(-54)*4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 13. Suppose -4*j - 595 + 3 = h. Let s = j + 210. Is 35 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -353, -0.03, 73 in decreasing order.\nAnswer: 73, 2, -0.03, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -6*g + 3*f - 503, -3*g - 3*f = -381. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74709359 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 + 3*a - 4. Let m(s) = -6*s**3 - 4*s + 5. Suppose 9 = -3*y - 3*i, y = 5*y - 2*i - 6. Suppose 2*j - 4*j - 10 = y. What is j*k(x) - 4*m(x)?\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 13*x + 132. Let f be (-52)\/x + -27 + 20. Which is the nearest to -0.01? (a) f (b) 3\/7 (c) -2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose 4*z + 12 = y, -2*z - 2*y = -1 + 7. Let f = u - z. Calculate the remainder when 4 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8\/((-384)\/(-270))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) + -1)**2 - sqrt(684)) + -4)*-6 - (3*-3*sqrt(114))\/sqrt(6)*-1.\nAnswer: -4086 + 99*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g**3 - 4*g**3 - 15*g**3 + (-1 - 2 + 2)*(3 + g**3 - 3))*(-g + g + 2*g - 2).\nAnswer: -22*g**4 + 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by -86.\nAnswer: -149\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in 0.4, -4\/7, 2\/3, 7097?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 76*x**2 - 302*x - 1432. Give h(80).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 - v**4\/12 + v**3\/6 + v**2\/2 + 602*v - 8. Let t(x) = 28*x**3 - 22*x**2 + 22*x + 22. Determine 44*a(z) - 2*t(z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v - 4*v = 26*v + 1326 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1 + 0 + 0 + 164. Suppose -w*q = -149*q - 760. Solve a - 9*a = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -1*((-20)\/5 - -185). Let s = w - 177. Solve x + 2 + 3 = -g, -1 = 3*g - s*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgvqqvv. What is prob of picking 1 b and 2 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*f + 2*f + f)*(12 + 6 - 7) + 2*f - 4*f - f)*(-f**3 - 2*f**4 + f**3).\nAnswer: 50*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/15)*t*t*t\/((t**(2\/7)*t*t)\/t)*t*t**(-5)*t\/(((t*t**(2\/5))\/t)\/t)*t assuming t is positive.\nAnswer: t**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/2 - 2*j**3\/3 - j**2 - 6*j. Suppose 25 = 10*v - 5. Let t(k) = -k**2 + k + 1. What is v*t(f) + a(f)?\nAnswer: 3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -3*p. Suppose -2*j = 3*j + 5*j. Solve -b + m + m + 6 = j, -p*b - 2*m = 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*z + 12, -2*v - 5*z + 4*z = -2. What is the smallest common multiple of (-5 - (-3 - -3))\/(1 + -2) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*7\/(-294)*(-6)\/(-48)*12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n + 5. Let j be n\/(-1)*(6 + -3). Let c(x) = x**2 + x + 4. Is 14 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 362067.6974 to the nearest one hundred.\nAnswer: 362100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/16 - 3\/12. Let x(o) be the second derivative of -1\/3*o**3 + 0*o**2 + 2*o + g + 1\/5*o**5 + 0*o**6 - 1\/21*o**7 + 0*o**4. Factor x(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erww when four letters picked without replacement from {l: 5, k: 1, r: 2, e: 2, w: 4}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072*q**2 + 2*q + q - 1091*q**2 - 5*q.\nAnswer: -19*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as 124\/635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 58. Let n = -51 - q. Solve n + 12 = -2*y - 2*l, -5*y - 25 = l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from yhokx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 1 + 1 + 0 + 0 + u**2 + (8*u - 9*u - 45*u)*(u + 0*u - 3*u).\nAnswer: 94*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 + 0 = u, 2*u + 5 = 5*z. Let h be (2 + 2)*(-1 + 18\/8). Sort h, u, 4 in decreasing order.\nAnswer: h, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 33 - 13. What is the units digit of o\/(5\/6) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/16 + ((-55)\/330)\/(4\/126)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpgio. Give prob of picking 1 q, 1 i, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 85*u**2 + 61*u**3 + 4 + 2*u - 90*u**2 - 5*u. Is o(2) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, -2\/5, 3\/7, 86.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20008 is divided by 673.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - c - 40 = 12*l, 0 = -c for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**3 - 68*g**3 + 36*g**3 - 1963.\nAnswer: 2*g**3 - 1963","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49553099*i**2 - 93942320*i.\nAnswer: 99106198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1301 in 9, 4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168795 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3*t**2 + 8*t + 2. Let h be x(9). Let w = -19 - h. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = s + 24, -3*g - 5*s = 2*g - 5. Put -1\/6, g, -0.2 in increasing order.\nAnswer: -0.2, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.3453 - -0.0453. What is z rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 16*p + 15. Give w(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/10, -215, 0.3, 3\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62395 is divided by 31170.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 4 = 11*s. Let c be -2 - (-4)\/s*-3. Let o = 6 - 4. Sort c, o, 5 in descending order.\nAnswer: 5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/(-18648)*4). Let t = j - -43. Let u = 2610 + t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -647 - -916. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 4*u**2 + 6*u + 3. Let w be f(-5). Let j(i) = -19*i - 6. Let p(d) = -9*d - 3. Let z(q) = -2*j(q) + 5*p(q). What is z(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/4*-2*-1. Let a = p + -7. Solve 0 = t + a + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/3)\/(3\/(-4)) - -33. Suppose 69*o - 70*o = -h. Calculate the remainder when 108 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 5, 9, -2, -5 in descending order.\nAnswer: 9, 5, -3\/8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -114?\nAnswer: 113.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22*s + 30. Let o be h(8). Suppose 91*v - 93*v = -o. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h + 3 - 3. Let b(n) be the first derivative of -n**2 - 22 - 7 + 13. Calculate b(a(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 2, v: 2}. Give prob of picking 1 v and 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -75*a**2 + 85*a - 328. Give f(0).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*s + 850 = 7*o, 2*o - 2*s = 324. Is o less than 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 4\/7, -46\/87, 23?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9676804758?\nAnswer: 2, 3, 2027, 795659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 7. Let m be b(-7). Let u = -7 - m. What is the second derivative of x**2 - 3*x - 2*x**2 + 3*x**2 + u*x**2 wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i + 13 - 6 - i + 3*i + 4*i. Calculate j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/416 and -59\/29952.\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 243\/27 + (-9)\/((-18)\/1362860) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63351119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2447 + -2438. Let t = 0.04 - 0.54. Let i = -0.6 - t. Which is bigger: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(-13))*s*s**(-2\/53)*s*(s**3)**49)**16 assuming s is positive.\nAnswer: s**(136496\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (0 + 2 + 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9563 + -9381. What is the lowest common multiple of p and 63?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2575 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 815654 and 302006?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 - 2*u + 4. Let g(n) = -20*n**2 + 5*n - 11. Suppose 0 = 34*o + 332 + 42. Determine o*h(x) - 4*g(x).\nAnswer: 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 233158?\nAnswer: 1865264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -352638 (base 9) in base 16?\nAnswer: -33bdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -21*z. Let x(o) be the third derivative of 0*o**4 - 66*o**2 + 1\/12*o**5 + 0 + 0*o**3 + 0*o. What is r(x(w))?\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26250 divided by 1875?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 16*c = 3*p - 60, -3*p + c = -68. Calculate the smallest common multiple of p and 114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0467 = 1\/756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82012.15mg in grams?\nAnswer: 82.01215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/10 + 3*z**4\/2 - z**3\/6 + z**2\/2 + 2125*z. What is r(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5545\/3 - -1870. Find the common denominator of k and 29\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51\/(-45) - (-1 + 0). Let j = 1.06 + -1.16. What is the nearest to j in 1\/10, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(343)*2)**2*-4 + (sqrt(7)*-2*2)**2 + 1.\nAnswer: -4619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:34 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1f (base 16) to base 2\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174791 is divided by 85565?\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(3\/6*4). Let y = 2 + o. What is the highest common factor of y and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14*x**3 - 2*x**2 - x. Give z(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7168*d**4 - 2393*d**4 - 12*d**3 - 2383*d**4 - 2365*d**4 + (0 - 1 - 1)*(36 + 12*d**4 - 36) in the form j*d**4 + i + y*d + x*d**2 + w*d**3 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506772119.\nAnswer: 7, 1543, 46919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12100200?\nAnswer: 12100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -0*k - 5*s, 4*s - 34 = -k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-1)\/h)*h*h**(1\/5))**(-18)*((h**(2\/3)*h)\/(h*h**(-4)))**(-31) assuming h is positive.\nAnswer: h**(-3574\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round 5422.603543 to the nearest 10.\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let u(j) = 147973*j**2 - 6*j + 47. Calculate a(u(z)).\nAnswer: 295946*z**2 - 12*z + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 50160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 2. Let y be (-3104)\/(-128) - (1 + 1 + 6\/(-8)). Calculate the highest common factor of g and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-4))\/8*-4. Suppose 0*k - y*k + 7 = -n, -3*k + 24 = 3*n. Solve -5 = -k*p - 2*x + 2, 0 = 4*p + 3*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 - 49935*a - 500341. What is g(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3582 is divided by (1 + (9 - 1))\/(112\/20 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208*y**2 + 204*y**2 + 5*y**3 - 30 + 201*y**2 - 615*y**2 + y**3 to g + u*y + r*y**3 + a*y**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4334327*l + 170*l**2 + 4334327*l - 11.\nAnswer: 170*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -29. Let c(o) = o**3 - 18*o**2 + 17*o + 4. Let a be c(p). Suppose -6 - a = 2*s. What is the smallest value in s, 3\/5, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24053, 24587, 25119, 25649, 26177?\n\"Answer: -f**2 + 537*f + 23517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4620)\/900 + 5\/1. Which is smaller: z or 31?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11365 + 56.70365. What is f rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 806. Let d(s) = 4*s + 814. Determine 3*b(p) - 4*d(p).\nAnswer: -p - 838","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1817, -11484, -27585, -50114, -79065, -114432, -156209?\nAnswer: -204390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-4 + (9 - 4)))\/(-6 + 5). Which is the third smallest value? (a) 0.3 (b) -0.4 (c) q (d) 1154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 - f**2 - 7*f + 4. Let h(c) = 6*c**3 + 2*c**2 + 13*c - 9. Determine 3*h(u) + 7*z(u).\nAnswer: -3*u**3 - u**2 - 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -262916b?\nAnswer: -2629173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + (1*sqrt(70)*5 - sqrt(70)))\/(sqrt(40)\/sqrt(64)) + -5)*2)**2*-5.\nAnswer: -56500 + 4000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2596 - -129.2596. Let k = 1.7 + -1.8. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73801965 divided by 15?\nAnswer: -4920131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 8. Let h be y(-8). Let b be ((-2)\/4 - h\/16) + -21. Put -1, -3, b in descending order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Let c(g) = -g - 30*g**2 - 76*g**2 + 63*g**2. What is p(c(k))?\nAnswer: -86*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3750)\/(-350) - 10) + (320\/63)\/(-4).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4331 - -33.5669. What is the third biggest value in -0.7, 1, a?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 12*j**2 + 265*j + 0 - 250*j + 0. Let g(q) = 7*q. What is g(h(l))?\nAnswer: 84*l**2 + 105*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24805794.\nAnswer: 2, 3, 13, 318023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -18007*r**2. Let q(j) = 6*j. Give q(o(k)).\nAnswer: -108042*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13405*x + 4020548 = -13332*x. What is the ten thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19189*f + 76753*f - 19187*f - 19191*f - 19182*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/21)*t*t)\/t)**(-49)*t**(-21)\/t*t**(-21) assuming t is positive.\nAnswer: t**(-290\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7467604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 + 268*x**2 - 65 - 62 - 73.\nAnswer: 268*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -328144 + 5\nAnswer: -328139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6922, -13837, -20746, -27649, -34546, -41437?\nAnswer: -48322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 534538, -4, 5 in decreasing order.\nAnswer: 534538, 12, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 16420?\nAnswer: 49260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -76968\/25885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/19 - 6*s**3\/19 - 4*s**2\/19.\nAnswer: 2*s**2*(s - 2)*(s + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -10*j**3 - 254*j**2 + 716*j - 336 = 0?\nAnswer: -28, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72585771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 0)\/((-1)\/(-3)). Let b = -171 + 45. What is the common denominator of 25\/9 and (-6)\/f + (-190)\/b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173059 + 786810 + 477239 = -12690*a + 113860 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66466023367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16530686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9702\/4312)\/(2\/(-288)*3).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/9)*d**(2\/7)*(d\/d**(-1\/4)*d*d)**(-2\/13)*((d*(d\/d**(-2\/5))\/d)\/d**(-1\/3))\/((d*d**(2\/15))\/d**(-2\/7)) assuming d is positive.\nAnswer: d**(29\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**2 + 30*d**2 + 15*d**2 + 19*d**2 - 71*d**2.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 14, 6, -1, -117 in descending order.\nAnswer: 14, 7, 6, -1, -2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 18 + 134 = 0. Suppose 3*c - 2*p - 2 = 0, 3*c + 5*p - r = 2*c. Suppose 0 = -5*a + c*a + 30. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15661*l**5 - 95*l**3 - l**2 + 61525*l + 2?\nAnswer: 939660*l**2 - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 357763946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllpppppllpppppjlppp. What is prob of picking 1 p and 1 l?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/21))**46\/((s*(s*(s**(18\/11)\/s)\/s)\/s)\/(s*s**(2\/67))) assuming s is positive.\nAnswer: s**(73894\/15477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 6, d: 3, h: 2, m: 3}. Give prob of picking 1 d, 1 u, and 2 m.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -2\/13, 1\/3, -3, -3.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*c**3 + 670*c - 2955 - 670*c - 6*c**2 - 4*c**2 - 98 with respect to c.\nAnswer: 111*c**2 - 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - -47) + (-2 - (-1 + 1 + -14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55321777*l**3 + 9*l**2 + l + 366258 wrt l.\nAnswer: 331930662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-14))**(2\/15)\/(r**(-1\/7)*r**(-1\/4)*r) assuming r is positive.\nAnswer: r**(-1039\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7498643597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 30*u - 215. Calculate j(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*k - 52*k - 74*k - 55*k - 54*k.\nAnswer: -98*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 8, -15 in increasing order.\nAnswer: -284, -15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 49*i**4\/24 - 2*i**3\/3 - 47*i**2. What is the derivative of o(v) wrt v?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5330, -2076, 1178, 4432?\nAnswer: 7686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + f - 3*f - 2*f + 3*f - 24*f + 3 - 2*f - 3 + (-3*f + 3*f - f)*(-2 + 5 - 2) - 2 + 2*f + 2 + 0*f + 2*f + 0*f + 1 - 2*f - 1.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 1, m: 4}. What is prob of picking 3 m and 1 p?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7356 plus -0.4?\nAnswer: -1.1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 880?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(24\/10))\/(6\/24). Put -2\/7, 0, t in decreasing order.\nAnswer: 0, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 730, 724, 716, 706, 694, 680?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/1 - 14. Let j = -2.042753 + 0.042753. Let l(w) = -5*w**3 + w**2 - 1. Let u be l(1). Which is the nearest to 0.2? (a) k (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 e when four letters picked without replacement from {e: 6, y: 1, v: 5, t: 3, r: 4, a: 1}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from affffffffffffff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-5) + (-2)\/5. Let a = 16 - q. Let k(l) = 40 - 72 + 9*l - 17*l**a + 38. Let b(c) = -6*c**2 + 3*c + 2. Calculate 11*b(m) - 4*k(m).\nAnswer: 2*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*x + 103*x + 44 - 52*x)*(2 + 1 - 4) in the form n*x + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f**40)*f**(5\/6)*(f\/(((f*f\/(f*f**(-17\/5)))\/f)\/f))**(-2\/95) assuming f is positive.\nAnswer: f**(-114391\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.0421.\nAnswer: 0.1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -16.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -76 - (-17 - 16).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -49, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241301 (base 9) to base 5.\nAnswer: 14122230","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 809581412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1891*h**3 + h**2 + h - 443 wrt h.\nAnswer: -11346*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g = -5*y + 26, -y = -4. Is (-324504)\/(-108)*g\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnkn when four letters picked without replacement from {n: 5, x: 1, k: 3}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-51)*420\/(-490).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242698 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2237 - -6.8237. Let c = -7.77 - -1.47. Let a = c + g. What is the fourth smallest value in 4\/3, a, 1\/7, -0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and 25\/60448.\nAnswer: 60448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five eighths of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*a**2*z**3 + 3*a**2*z**2 - 3*a*z**3 - 5*z**3 - 3*z wrt a?\nAnswer: -80*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from njlwnjvev.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-267)\/(-50))\/(321750\/(-1875)) and -61\/650.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 6*r**2 + 3*r - 4. Let g be v(6). Let b = g - 10. Suppose 2*t + 3 = 3*t. Solve 2*c = -5*z + 2, 4*c = -2*z + t*z + b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*d = -88*d - 1185. What are the prime factors of d?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1997 - 1898. Let g(m) = m**2 - 2*m - 1. What is the remainder when n is divided by g(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 64?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -95. Let k = 5 - 3. Suppose k*o - 3*b - 136 = c, 3*b + 2*b - 94 = -o. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:59 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from zxzxxzxxzxzzxzxzzxz.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 105*v - 45. What is the units digit of j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -6\/313 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.815838 decades?\nAnswer: 48.15838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1520)\/665*(-1)\/(-2)*1.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*v = 39, 0*v = -4*t + v - 43. Let b = -25 + 37. Let g = b - 8. Put g, t, -1 in decreasing order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + v - 17 = 0, 3*i + i = 2*v + 26. Suppose 4*g - 2*d = 0, 2*g - i*d + 12 = 4*g. Let a = 19\/75 + 2\/25. What is the closest to -2\/3 in g, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -16855532\nAnswer: 269688512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*c**2 + 3790*b**3*i**2 + b**3*i - 3*b**2*c**2 + 2*c**2*i + 154*c**2 with respect to i.\nAnswer: 7580*b**3*i + b**3 + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13032 by 3.\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*m**2 + 1 + 1 + 63*m**2.\nAnswer: -61*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7142206, 7142211, 7142218, 7142227, 7142238, 7142251, 7142266?\n\"Answer: h**2 + 2*h + 7142203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (27 - 44) + (-115412)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24111 and -89976?\nAnswer: 65865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*-2 - -2. Suppose 5*c + 5*u - 55 = y, c - 2*u = -0*c - 4. Let d be -6 + ((-12)\/(-18) - (-258)\/18). Is d at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440417608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/sqrt(90) - sqrt(25))\/(1*sqrt(45) - sqrt(5)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p. Let u(d) = 15067*d. Give u(i(r)).\nAnswer: 45201*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 8 + 3*n + 19 - 3*n**4 + 2*n**2 to the form v*n + g*n**2 + b + i*n**4 + w*n**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxexeebxxx. Give prob of sequence exx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 4.79 (b) 19 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 + 162. Let i be 6\/7*2*(-168)\/8. Let q = i - n. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2223 + -0.6345. What is b rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3159426 + -1559426. Round w to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 371 = 1120. Let p = 98 + l. Let t = 161 + p. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7626 and 7627 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = 5*g. Let n = g + 36. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 5*y - 38*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 115a067 (base 13) to base 14\nAnswer: 9d860a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24881*p - 12565*p = 12459*p + 2574 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2. Let o be (-12)\/8*(-16)\/(-3). Let z(b) = -5. Let v(m) = o*t(m) + 3*z(m). Let s(p) = -p. Let w(u) = s(u) + v(u). What is w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:25 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177*c + 10 wrt c.\nAnswer: 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 4*j + 3 - 50, -5*h = -4*j + 37 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28924848 - 0.03074822. Let a = 0.32 + o. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 548549644.71 + -0.02\nAnswer: 548549644.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-63)\/14)\/(5\/(-4) - -2). Let o(l) = -12*l**2 - 6*l + 6. Let d(z) = -11*z**2 - 5*z + 5. Determine u*d(k) + 5*o(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -40.002 * -1127\nAnswer: 45082.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*2)*-3)\/(2*sqrt(12)*-1) + -3.\nAnswer: -3 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-13 - (-22 - -5) - 8).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 9*j - 2. Let l(m) = -2*m - 18. Let v be l(-6). Let d be z(v). What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(180))**2 - (sqrt(5) + sqrt(45)\/(sqrt(9)*-1))*5.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 706*b**4 - 199*b**2 - 834499 wrt b?\nAnswer: 2824*b**3 - 398*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -356 + 1075\/3. What is the common denominator of 17\/10 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n. Suppose 2*h - 5*h + 18 = n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(33) - sqrt(33))*2 + sqrt(33))\/((-3*sqrt(6))\/sqrt(2) + sqrt(3)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*f**2 + 1032 + 1046 + 81*f**2 - 3110 + 1032.\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*0\/(-2)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 8 - 48. Suppose 0 = 9*y - 7*y - 200. What is the greatest common factor of y and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/5)*s)\/(s**(-8)\/s))**(-17)*(s**8*s*s*s*s\/s**(-2\/5)*s)**(-3\/4) assuming s is positive.\nAnswer: s**(-3397\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2) + (-18)\/6. Suppose 22 = -w*y + 2*y. Let u = 71 - 50. What is the remainder when u is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.191615 + 833.378385. What is a rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*d - a + 1524, -5*a + 603 = 2*d. Suppose -4*u + 1064 = -5*i, 4*u + i - 1392 = -d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.13 - 1.716. Let v = g + 0.086. Let k = -49\/9 - -28\/9. What is the third smallest value in -3, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25026\/11 - -2277. Calculate the common denominator of -85\/2 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2 - 2) - ((-19 - 3) + 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 + 380. Let c = b - 453. Let n = 242.00000219 + c. Round n to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 528, 1035, 1920, 3183?\nAnswer: 4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.4 (b) -1 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 2. Let y(n) = 5*n + 9. Let w = -1300 + 1298. Give w*y(q) + 11*u(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.8934*-1\nAnswer: -0.8934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 89. Let i be q(20). What is the highest common factor of i and 306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4832*t**4 + 2*t**2 + 4827*t**4 + 0*t**2)*(-2 - 2 + 3)*(-2 + 1 - 1)*(7 - 3 - 3) as d*t**3 + x + f*t**4 + l*t + m*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 - 73 = 0. Let c = p - -53. Suppose 0 = 2*s - 5*t - 103, t = s - c*t - 49. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 72 = 3*d. Let j be ((-126)\/(-24))\/(435\/d). Let s = -1\/29 - j. Put -3, s, -2\/7 in decreasing order.\nAnswer: s, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - 3.04. Let w = -170865\/7 + 24606. Let i = 197 - w. What is the third biggest value in 1, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1181\/3 or -394?\nAnswer: -1181\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, 290, 7, -2.\nAnswer: -2, 7, 220, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 15. Suppose -5*l + 4 = -g*l. Suppose 0 = -3*f + l*f + 4. Solve -13 = -u + 5*n, f*u - 16 = -0*n + 2*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - -2) + -1 + -9. Solve 4*r - q*l = -326 + 312, l + 9 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23521, -46812, -70105, -93400, -116697?\n\"Answer: -n**2 - 23288*n - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61 and -1062475?\nAnswer: -64810975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.1 + -16. Suppose 0 = 3*o - 4*d + 11, -25 = -5*o + 2*d - 4*d. Suppose 0*l - 3 = -l - 2*f, 5 = o*l + 5*f. What is the nearest to j in l, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 43 + -57 - -65?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418673 or -2\/45?\nAnswer: -418673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13011 = 2*n - 3*b - 12038, -b = 3*n - 37546. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 8*f**2 - 12*f. Let h be p(6). Let y(j) = -j**2 + 2*j + 42. What is the tens digit of y(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:22 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + 58. Suppose -r*j = -144*j. Put -2, j, 5, -3 in descending order.\nAnswer: 5, j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*l - 550*l = 2665 + 3503 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from dxddlmdmzmlmmdmxmm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*l, -2*f - 58747 = -7*f + l. Let a = -5377 + f. Suppose -312 = -5*b + a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/504*6\/(-5). What is the closest to q in -1\/5, -5, -1, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -1\/30, 30, 1, -0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*m + 80, 2*o + 2*m - 47 = -13. Suppose -112*i = -108*i + o. Which is the nearest to 0? (a) i (b) 14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((11280\/90)\/47)*-208\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -8. Let n = x - 5. Solve 0*i + 2 = -2*i, -y - n*i - 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.954609 times -143\nAnswer: -565.509087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1177181395 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 443*z - 451*z + 2 + 12 + 133*z**2 - 3. Let r(m) = -m**2 - m - 1. Let h(s) = g(s) - 6*r(s). Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663257205.\nAnswer: 3, 5, 13, 41, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 47*p - 12. Let y(k) = -4*k**2 + 137*k + 37. Calculate -19*w(l) - 6*y(l).\nAnswer: 5*l**2 + 71*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (400\/8*30\/(-180))\/((-2)\/(-6)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 75 = -10. Suppose -u + n = 12. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 13*p + 205727, 3*i + 2*p = -52950 + 176298. List the prime factors of i.\nAnswer: 2, 29, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-6) + 4\/(-6). Suppose 3*s = 2*s. Suppose s*f = 2*f - 8. Solve -5*z - 32 = f*l, -2 + 1 = i*l - 2*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*h**5 + 54*h**5 + 28*h**5 + (-4*h**2 + h**4 + 4*h**2)*(-2*h - 2 + 2) + 5*h**5 - 2*h**5 - 2*h**5 - 2*h**5 - 2*h**2 + 2*h**2 + 2*h**5 + h**5 - 5*h**5.\nAnswer: 37*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(63))*-6.\nAnswer: -18*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**3 + 7*w**2 - 3*w - 7 - w**2. Let j be (-4)\/2 + (-3 - -10). Give d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 302316?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4) + 14\/4. Suppose -2*f + j*f = 9. Solve f*o = 2*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -163.\nAnswer: -96\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*z - 25 + 46 = c + 24 + 11, 5*c = -5*z - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = v - 25, -2*x = -0*v - 3*v + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and 202448.\nAnswer: 202447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -z - 15*z. Suppose z*c = 11*c - 2802. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*11\/440 - 3\/(-6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-1 - (-1 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*m + 314*m + 60606 = -369*m - 368*m for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/3 - y**2 + 5*y + 62. Differentiate p(t) wrt t.\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 9) to base 3.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96373410 divided by -3.\nAnswer: -32124470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from cccccfcfccfc.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqqwqwiqwwiqqwqw. What is prob of sequence wiq?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*s = 4*c + 73*s - 4440, -2*c = -2*s - 2220. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 451 + 451 - 82*n**2 - n**4 + (-3*n - 3*n + 5*n)*(n**3 + 0*n + 0*n) to t*n**4 + k*n**3 + x*n + j + r*n**2 and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7102 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29631, -29623, -29633, -29661?\n\"Answer: -9*k**2 + 35*k - 29657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = 43*b - 48. Let a(v) = v**3 - 23*v**2 - 23*v - 29. Let t be a(b). What is the nearest to 0 in t, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - -2. What is the nearest to x in -4, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*x**3 - 21*x**3 + 16*x**3)*(x**2 + 3 - 3) + (-5 - 2 + 5)*(0*x**2 + 2*x**5 + 0*x**2) - x**5 - x**4 - x**5 + 2*x**4.\nAnswer: 121*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 35285368.33 to the nearest one thousand.\nAnswer: 35285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.166336t to grams.\nAnswer: 7166336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 93?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Suppose 0 = 2*p - 6*p - 8, -s*g + 60 = 4*p. Solve 3*v + 4*b + g = 5, -b = -v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*h + 5767 = -980 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4 - 6. What are the prime factors of 516\/15 - j\/(-25)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 14*y**2 - y + 3. Let k = -3 + 5. Suppose 0 = k*g - 8, 6*g + 168 = 2*x + 2*g. Calculate the remainder when x is divided by v(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 - -152. Solve 4*j + p = 7*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.717*0.5\nAnswer: -12.3585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.57 + -1.48. Let z = a - -14. What is the third biggest value in z, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/2)*v*v**(1\/11)*v*v**(4\/7)*v**(2\/7)*v)**(-40) assuming v is positive.\nAnswer: v**(-19860\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -42 + 19 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-15))\/((-7)\/(-25))*-7. What is the highest common factor of 30 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (381\/2*1)\/(51\/(-1122)). Let i = -2500 - w. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588*s - 622*s + 222938 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1635 and 925528265?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 7. Let t(x) = -3*x + 6. Let k(u) = -179*u + 1787. Let z be k(10). Calculate z*c(s) - 4*t(s).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.2 + 8.8. Let q = r + -56. Let w be (-30)\/(-12)*(-8)\/70. Which is the nearest to q? (a) 4 (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652146 is divided by 326073.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (sqrt(11) - (sqrt(11) + sqrt(11) + (sqrt(396)*-2 - sqrt(396)))))*6)**2.\nAnswer: 33048*sqrt(11) + 1032912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*s - 4*i - i, 4*s - 4*i - 64 = 0. Suppose 4*g - s = -2*f + 6*g, g = -f. Solve -f = -r - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.5 to the nearest integer.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxy when three letters picked without replacement from xyrrwxyxydyxyyy.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*y - 388 = 0, -3*r + 4*r = -3*y + 92. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggslglsggyggglllscc. What is prob of picking 2 l and 1 g?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183 divided by -1061?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 + 281. Let b = 147 - c. Let x = 29 - 7. Calculate the remainder when b is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lltt when four letters picked without replacement from yylyyltllysyltsyy.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away 101.499?\nAnswer: -117.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005404 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 10. What is the least common multiple of 16 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.7 - -24. What is the second biggest value in 1\/23, n, -1\/3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -646\/121 or -4?\nAnswer: -646\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87.12 * -0.1208.\nAnswer: 10.524096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 42752.3687598\nAnswer: 42755.3687598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + 290. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57702, 115362, 172936, 230382, 287658, 344722?\n\"Answer: -7*h**3 - h**2 + 57712*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 67 = 72 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3998389*f**5 - 2*f**4 + f**2 + 15*f + 1425642?\nAnswer: -239903340*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 6 - 5 + 25 - 37*b to y*b + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12559590 to the power of 1\/2, to the nearest integer?\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**3 + 102*u**2 + 32*u - 111. Let r be a(43). What is r rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-1) - ((2 - 11) + (-176)\/(-112)). Let -38\/7*v**3 - 4*v**2 - 16\/7 + 8*v + 16\/7*v**4 + j*v**5 = 0. What is v?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415460136?\nAnswer: 2, 3, 7, 13, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + t**2 - 4*t**2)*(27*t - 73*t + 113*t)*(2 - t - 2)*(0 + 4 - 2) to o*t**2 + m + a*t + d*t**3 + h*t**4 and give h.\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Let l be (-8)\/u*33\/(-22). Let f = 9 - 6. Sort 0, l, f in increasing order.\nAnswer: 0, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115897, 115900, 115905, 115912?\nAnswer: 115921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:14 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 7)*(-5)\/2. What is the tens digit of (-4 - -10)*1*f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:13 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**3 - 4*h**2 + 4*h + 2. Let r be f(-4). Suppose m = -5*m + r. Let t = 82 - m. Which is bigger: 32 or t?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0*q + 4*q)*(-105 - 129 - 63 + 186) to the form n + o*q and give o.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10.32*-3\nAnswer: 30.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((2 + -3)\/(-1)). Let b be d - 6 - -1 - -2. Let l = b + 6. Solve -j = -l*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a (base 13) in base 3?\nAnswer: 1000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3)\/1*9\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**3 + 12*q**2 - 8*q + 8. Let b(w) = -9*w**3 + 12*w**2 - 7*w + 9. Let t(m) = 4*b(m) - 5*d(m). Factor t(k).\nAnswer: 4*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15)*15\/(-1). What is the smallest value in 2, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11398 - 12032.7. Let y = l + 635. Which is the closest to -4\/7? (a) y (b) 1 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 85793788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1904280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + 1 + 0)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 + 1625*y + 426. What is g(43)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1384 + -664. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -6.98. Let l = r - -4. Let s = 3.2 + l. Put -2\/9, s, 0.3 in descending order.\nAnswer: 0.3, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 34113\/(-830) - (-5)\/1*9\/(-18).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 206*w**2. Let q(p) = -23*p - 1. Give c(q(k)).\nAnswer: 108974*k**2 + 9476*k + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, q: 5, a: 6, j: 1}. What is prob of sequence ooao?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0153 + -0.0136. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2366)\/35 + 4\/(-10). Put l, 2, -1 in decreasing order.\nAnswer: 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50117 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c. Suppose 2*f - 4 = 32. Calculate the smallest common multiple of f and p(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {h: 3, c: 1, d: 4, o: 1, w: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n - 3. Let h(v) = 90 - 33 - 9*v - 30 - 27. Determine z(h(c)).\nAnswer: -108*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/34)\/((-3)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11175, 22356, 33559, 44796, 56079, 67420, 78831?\n\"Answer: 2*u**3 - u**2 + 11170*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29897, 59510, 88841, 117890, 146657?\n\"Answer: -141*u**2 + 30036*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 201 = -19*r, -4*m = 35*r - 31*r - 52 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33*-7.96\nAnswer: -262.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 179243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 1, 11\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2801396193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 11 - 2) + (10 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (2 + -2 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -58. Suppose 3*x = x - 5*y - 12, 5*y = 2*x - 28. Let a(n) = n**3 - 2*n**2 + 3*n - 4. Calculate the remainder when a(x) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -155, -619, -1393, -2477, -3871, -5575, -7589?\n\"Answer: -155*c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/5 - -37\/45. Let x be 18\/30*4\/6. What is the third smallest value in x, p, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 45 = 5*l, -7 = -4*s + 5*l - 2. Let z = s + 10. Suppose -4*i - 8 = 0, z*i - 3*i - 1 = -c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/114*(-12)\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*r + 3 = 0, 2*a - 2*r = -r - 3. Let c be (-7 + -2)\/a + 77. Let u = c - 35. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 2. Let c be d(5). Suppose 5*g = -2*f + 14, -4*g + c*g = -2*f + 2. Let u(j) = 3*j**2 - 2*j**2 - 2*j**g. Let w(a) = -12*a. Give u(w(r)).\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 547093164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -0.47\nAnswer: 62.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 13) to base 3.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*1*sqrt(242)*-2 + (1 + sqrt(242) - sqrt(242)) + -2 + sqrt(242) + -2 + -4)**2.\nAnswer: -462*sqrt(2) + 2227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 0 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -813 + 868. Calculate the lowest common multiple of t and 175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -838 divided by -2.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -6883?\nAnswer: -6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 7. Let g = -0.5 - -0.2. What is the second smallest value in f, -5, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 58*b + 7. Suppose -24 = 3*j - 9*j. Let k(d) = 5*d - 5. Let s be k(j). Is c(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 506284944 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 greatest common factor of 4 and 144227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141516 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 u(s) = s**2 - 25*s + 59. Let k(n) = n**2 + 20*n + 42. Let g be k(-19). Let z be u(g). Solve -l - 2 = -3*l - 4*r, 5*l = -r - z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -120. Let m be ((-18)\/4)\/(-3*(-2)\/w). Suppose -m*q + 15 = -22*q. Calculate the least common multiple of 4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14440223 (base 5) to base 4.\nAnswer: -212000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 80 = -v. Suppose 24 = -0*l + 4*l. What is the remainder when 4 is divided by l\/(-27) + v\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.5223?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 966 and 16583?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19a6907 - 4?\nAnswer: -19a6910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-14)\/(-21))\/(40\/(-195))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c*c\/c**(2\/21)*c*c*c*c)\/c*c*c)*c**5)\/(c**2*c\/c**(-6\/11)) assuming c is positive.\nAnswer: c**(-1259\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(5\/8))\/y**(2\/77) assuming y is positive.\nAnswer: y**(831\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -215*g + 864. Let n be p(4). What is the second biggest value in -3, -2, n, -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*-71*(-4)\/(-16). Let j = x + -246. Let c = -74 - j. What is the highest common factor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iuuovuioipiv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-3))\/1 - 332\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.80573 and -1.6.\nAnswer: 6.089168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868 equal to 3868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46\/8 - (-18)\/(-24). Find h, given that 13*h**2 - 4*h + 7*h**5 - 12*h**3 - 13*h**4 + 2*h - 6*h**3 + 13*h**w = 0.\nAnswer: -1, 0, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 10*m**2 - 16*m. Let a be k(-8). Suppose 18 = 5*o + 3. Solve -o*f - f + 16 = a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 2573239.\nAnswer: 1\/151367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, a: 1, i: 1, y: 2, v: 1}. Give prob of sequence icv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 6310*p + 162. Let t(b) = -b**2 + 1577*b + 36. Give 2*g(u) - 9*t(u).\nAnswer: u**2 - 1573*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 4*q - 3. Let y be w(1). Suppose 3*p + y*n = 6, 2*n = 3*p - 0 - 6. What is the lowest common multiple of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(2\/(-2)). Let m = -0.3 + 0.1. What is the closest to z in m, -2\/9, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3 + 3 + 0 - x. Let y(s) = -134 + 30*s**2 + 70 + 64. Calculate y(l(z)).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(192)*1)**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -71915, 0, -2, -4, 2, 5 in decreasing order.\nAnswer: 5, 2, 0, -2, -4, -71915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 11*d + 8. Let j be u(-10). Let c be (-5 - j)\/(6\/4). Let t = 1 + -1. Sort t, c, -4.\nAnswer: -4, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 71. Let x = 0 + 3. Suppose -2*j + x*j - 10 = 0. What is the remainder when z is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849258717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4276, -34113, -115084, -272755, -532692, -920461?\n\"Answer: -4261*w**3 - w**2 - 7*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**3\/2 - 51*p**2\/2 + 6458. Factor g(i).\nAnswer: -3*i*(i + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-10)*(-10)\/(-4)*-259*12\/666?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 1. Let x(p) = -15*p + 2. What is 6*v(q) + x(q)?\nAnswer: -21*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 381, 379, 377, 375?\n\"Answer: -2*d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 546 and 0.1.\nAnswer: 54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-i + 2*i - 3*i) - 7*i - 2*i + 3*i)*(-4 - 3 + 2) + 0*i + i - 2*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 206360 (base 7) to base 14\nAnswer: d0d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5088*o - 30533. Give t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21887ad (base 14) to base 13\nAnswer: 33b899a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 1966 = o + 2386, -3*m + 65 = -4*o for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-52 - -9 - (-18 + -48))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*b - 46 = 0, 3*b - 20 + 54 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 3. Let t = m - 0. Let r be 5\/(-1) + 8*(-846)\/(-1296). What is the third biggest value in 5, 0.2, r, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407 less than 9415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 10:57 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 27*g + 60.\nAnswer: 3*(g + 4)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**5 + 3*w**5 + 2*w**5 + (0*w + 0*w - w)*(3 - 3 - w**4) + (14*w**2 - 217 + 217)*(w**3 + w - w))*(-21 + 12 + 22).\nAnswer: 208*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2 + 2)*135\/(-54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/2*3\/(-2). Let k be (-6)\/j - 488\/(-7). Suppose -l + k = 22. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2875*j + 1 - 1.\nAnswer: 2875*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558906723.\nAnswer: 3, 6900083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/(-56))\/(-3))\/(((-36)\/(-9))\/(-352))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12066 + -2334?\nAnswer: -14433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 - -10) - (1939 + -1961).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.1342 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 13, 46, 115, 232?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 8:52 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -384*r**2 + 686*r**2 - 2 + 5*r - 4*r + (3*r**2 + 0*r + 0*r)*(-3 - 4 + 5).\nAnswer: 296*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 54*o. Let p be w(1). Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let j be -4 + n + (3 - 1). Let v = -0.4 + 0.3. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 60. Let l = 21 - g. Solve 0 = 5*y - 24 + l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2482172, 2482171, 2482170, 2482169?\n\"Answer: -h + 2482173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p**(-5\/2))\/((p**(-19)*p)\/((p**(2\/49)\/p)\/p)))**(-3\/7) assuming p is positive.\nAnswer: p**(-4079\/686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 25*t**2 - 55*t + 2. Give q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 331*c**3 - 2*c + 1. Let a be r(2). Is 2\/9 + a\/45 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 422, 966, 1728, 2708, 3906, 5322?\nAnswer: 6956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142565 by 5.\nAnswer: -28513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g - 45*g - g)*(-30 + 432 + 310 - 150 + 533) as i*g + l and give i.\nAnswer: -39420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(208) - (-2*sqrt(364))\/sqrt(7)))**2 - (0 + 4 + (-5 + -1*sqrt(13))**2)*1.\nAnswer: -26*sqrt(13) + 791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 237 and -913050?\nAnswer: -216392850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - x**4 - x**4 + 0 + 0 - 2*x**4 + 3*x**4 - 1 + 1 + (x + 2*x**3 - x)*(4 - 4 + 2*x).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 8*k - 10. Suppose 5*a + 17 = 5*j + 42, 0 = -5*a - 3*j - 7. Let x be 1\/a - 16\/(-2). Is z(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 4:54 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-4\/9)*p)\/p)\/(((p*p**(2\/9))\/p)\/p))\/(p**(-2\/9))**(-44) assuming p is positive.\nAnswer: p**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 2 + 0 + (-12 - -20) - 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 988 and 14.\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14810 plus 5?\nAnswer: 14815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1594 and 75\/2.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/3474 + -222091\/170226. Let n = 5807\/882 + k. Find the common denominator of n and 61\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + -15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 171 = -41. Suppose 948 = 10*c - x. Let m = 119 - c. Solve 5*n - 5 = 2*u - 0*u, 4*n = m*u + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*t**4 + 68*t**3 - 3949*t + 4 wrt t?\nAnswer: -1428*t**2 + 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 6*r - 4. Let n(d) = -d**2 + d. Let h(w) = -w**2 + w + 4. Let g be h(0). Let f(o) = g*n(o) - u(o). What is a in f(a) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uthshsssuhssqsshs. Give prob of sequence sh.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*l + 8*l + 16*l + 5*l to j*l + g and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4616 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 16*h**2 - 185*h + 21. Calculate w(7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, 3, 1, -10 in decreasing order.\nAnswer: 3, 1, -2, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-2))\/(((-15)\/2)\/15))\/(895\/(-1969))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 11*d + 11. Let i be n(-11). Suppose 5*q + 24 = i*q. Calculate the greatest common factor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 36, 59?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -2*x**3\/3 + 4*x + 7. Let j(f) = 2*f**2 - 5. Let h(i) = -4*j(i) - 5*k(i). Let p(z) = -5*z**2. Calculate p(h(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x*x*x*x**(-5)*x*x**(-2)*x*x\/(((x**(-5)\/x*x*x*x)\/x)\/x))\/(x**6\/x**(-1\/3)*(x**1)**(-2\/45)) assuming x is positive.\nAnswer: x**(-193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -106. Let r = n - -74. Let l = -3 - -4. Which is the closest to 0.1? (a) 1\/5 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/(f*f**(5\/2)))\/((f**(-2\/3)*f)\/(f*f**1*f))*(((f\/f**(1\/6)*f)\/f)\/(f*f**(-1\/9)*f))\/((f\/(f\/f**(-8)*f))\/f**3) assuming f is positive.\nAnswer: f**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80713 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 136*r**2 - 1019*r - 30351. Determine d(126).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from kxkxeeeeeexedmxeexee.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80, -135, -226, -353, -516, -715, -950?\n\"Answer: -18*u**2 - u - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/5 + 4445344*c**3\/5 - 17781392*c**2\/5 = 0.\nAnswer: -4445348, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20283 or -3093?\nAnswer: -3093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:12 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.48336 rounded to 1 dp?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xrrrxrlxllxdlbl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*k + 334 + 801 = 12850 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 9. Let g = -2 - 4. Let y be k(g). Solve 4*o - y*o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 28 - 43*s - s + s + 4*s + (-2*s + 0 + 0)*(-4 + 1 + 1) - s + s + 2*s.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 93*l**3 + 4*l**2 + 5*l - 9. Let d(a) = 23*a**3 + a**2 + a - 2. Give -9*d(m) + 2*f(m).\nAnswer: -21*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**2*q**3*y - 9*g**2*q - 40*g*q**2*y - 30034*q**4*y + 2*q**3*y - 155*q**2 wrt q?\nAnswer: -24*g**2*y - 720816*q*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 751. Let q(o) = 11*o - 750. Calculate -3*b(n) + 2*q(n).\nAnswer: n + 753","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 11. Let c = 1466 - 1466. What is a(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13337, -53341, -120015, -213359, -333373, -480057, -653411?\n\"Answer: -13335*q**2 + q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, 1 q, and 1 u when four letters picked without replacement from {i: 1, n: 2, b: 3, q: 3, u: 3, k: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 25. Let f(y) = 3*y**2 + 2*y - 76. Let z(b) = 4*f(b) + 11*s(b). What is the units digit of z(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 917046\/11 - 2432006597\/29172. What is the common denominator of q and 97\/3978?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -1.1. Which is the nearest to -0.2? (a) 2\/3 (b) 14 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 9*r + 31. Give i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/374031 and 83\/332056410.\nAnswer: 2988507690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 12 = -2*j, -4*u - 18 = -0*j + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, u: 3, i: 3, f: 2, c: 6, h: 1}. What is prob of picking 1 c and 1 h?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1340 + 1921. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453 (base 9) to base 12.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/5 + 1802*t**2\/5 + 3596*t\/5 = 0. What is t?\nAnswer: -899, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1517, 2937, 4263, 5447, 6441, 7197, 7667, 7803?\nAnswer: 7557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942202?\nAnswer: 2, 71, 55931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.63 and -11.6.\nAnswer: -30.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*g - 63*g - 220*g)*(0 + 4*g + 0) - 4*g**2 + 2*g**2 + 0*g**2.\nAnswer: -914*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:39 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43*3\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + 15 + -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3\/7 - 68*i**2 + 10176*i\/7 - 43056\/7 = 0. What is i?\nAnswer: -138, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let q = 55 - 51. Suppose l = q*c - r - 6, -r = c + 4. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 4. Let h be v(4). Let f = -8 - h. Solve l + f = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:25 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.749783937 and -9?\nAnswer: 8.250216063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 76*f + 68. Give t(-75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112752944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 2, h: 14}. What is prob of sequence oh?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 538 and 22.\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5182517 * -0.2.\nAnswer: -1036503.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 609 + 336 + 54 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 4, -1\/4, 10\/93?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*r + 81*r - 46*r - 1764 = 0. Solve 36 = -4*n + r for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65\/8 in 40, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:29 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148*x - 3980 = -1158*x. Calculate the smallest common multiple of x and 1791.\nAnswer: 3582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (252\/70)\/(1\/5). Let w be ((-10)\/30)\/((-2)\/u). Solve -w*v = -5*y + 3, 5*v + 3 = 5*y + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xxoxjtcx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 24*x**3 - 78*x**2 - 80*x - 27.\nAnswer: (x - 27)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 9*l + 6*l - 56, a + 4*l = -5. Solve -24*u - 210 = a*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/5)*m**(-44)*m**(13\/5)\/m**24)**(-38) assuming m is positive.\nAnswer: m**2546","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - k - 392 = 0, 14*l - 597 = 11*l - 3*k. Calculate the remainder when l is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(1 + 2*h - 1) + 36966*h + 9906*h - 2 - 5556*h + 2.\nAnswer: 41314*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 6152561666?\nAnswer: -6152562003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(231) + sqrt(231)*1) - sqrt(231) - sqrt(231))\/sqrt(11))\/((sqrt(5184)*2)\/sqrt(12)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-1\/4))**(-1\/4))**(-6\/7)*((c\/((c*c*(c*c**(-2)\/c)\/c)\/c*c)*c)**41)**(2\/9) assuming c is positive.\nAnswer: c**(665\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1328*c = -1317*c - 572. Let l be 0 - (3 - 2) - -261. Calculate the greatest common divisor of c and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-27)\/12) + (19 - (32 + 4 + -18)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 + 8ba9c?\nAnswer: 8ba55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 + -122?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -28236\/2149 not equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 116, 2, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 48 + 8 = 0. Let j be (-4)\/l + 95\/35. Solve 3*r + 35 - 5 = j*s, 3*s = 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/2)\/(-3))\/((-16)\/(-288))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 11*n + 10. Let g be b(20). Let o be ((-10)\/12)\/(4\/6663). Let c = o + g. Is 3 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 10*t**2 + 9*t - 13. Let m = 23 + 2. Suppose 0 = l + l + 5*i + 5, l - m = 3*i. Is d(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 46*l**4 + 4*l**3 + 44*l**4 - 5*l**3 + l**2 - 3*l**2 in the form f*l + y*l**3 + s + o*l**4 + d*l**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17203.6 - 17204. Put 5, -6, -3\/4, 6, m in descending order.\nAnswer: 6, 5, m, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o - 5. Let x(d) = -4 - 2*d - d + d + 3. What is -2*w(h) + 11*x(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 - 2335\/15)\/((-6)\/27) a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27765, -27764, -27765, -27768, -27773?\nAnswer: -27780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65817680.24 + -65829146.4066745. Let o = j - -11526.1667. Let w = 60 - o. What is w rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 2*n - 1. Let r be h(2). Suppose -6*p = -r*p + 360. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06184 - -0.0976. Round n to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 22*v**2 - v**3 + 2 + 23*v**2 - 54*v**2. Let n be y(-9). Suppose 5*c - 5*z = 5, 2*z = 3 + 3. Solve 0 = -c*i + n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -2)\/(150\/(-40) - (-369)\/108).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l - y + 14 = 0, -5*l - 36 = -3*y. Let b be (-16)\/l + (-2)\/(-6). Suppose -b*w = -2*i - 0*w + 1429, -3*i - 5*w = -2172. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1210537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 - 2*l + 5. Let q = -9 - -15. Let d(j) = -4*j**2 + 7*j - 9*j - 3 + 7. Calculate q*f(i) - 7*d(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 - 3*w - 4. Suppose 3*v = -1 + 13. Let k be t(v). Suppose k = -5*p + 175 + 145. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*a**2 + 12*a**6 + 33*a**2 + 13*a**2 wrt a?\nAnswer: 1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-578)\/(-84) - 482\/5061 and 103\/830.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1298 - 28.19.\nAnswer: 1269.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001338586248 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 423714*j**2 + 15673311*j.\nAnswer: 3*j*(j - 141201)*(j - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 9*b**2 - 3*b + 2. Give g(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 591555*x**2 + 19 + 591557*x**2.\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 26*i**2 - 270*i - 65. Determine x(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -133472 (b) -0.1 (c) 10\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26235 + 287339\/11. Let j = r - -114. What is the common denominator of j and 9\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 - 9*f - 3. Let g be w(-6). Let x = g + 69. Let j = 430\/9 - x. What is the closest to j in -4, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1729*t**3 + 2*t - 856*t**3 - 2*t - 876*t**3 + 139*t**2 + 0*t - 137*t**2.\nAnswer: -3*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/((-6)\/(-54)). Which is the third smallest value? (a) n (b) 0.06 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + (sqrt(396) + sqrt(396)*-1*-5)*5)*-6)**2*6.\nAnswer: 25920*sqrt(11) + 76982424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-130*(-12)\/(-30). Let d = -43 + 95. Let j = d + n. Solve -3*o - 4 + 16 = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -35*l - 1. Let r be u(9). Let g = 453 + r. What is the remainder when g is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 4*v**2 + v - 6. What is a(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/1530 - (6\/(-21))\/(((-1600)\/140)\/(-8))\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/25)\/(-4))\/((-2)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4395 and 2265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-36227.\nAnswer: 724.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 + 11*a. Let d be r(5). What is the greatest common divisor of 275 and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.005089nm in centimeters?\nAnswer: 0.0000003005089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-13)\/(52\/(-112)))\/(1 + 1). Suppose -r - 8 = 3*m, -4*r - 6*m - a = -3*m. Is -2 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 115\/20)*4. Suppose 3*i - 209 = 5*u - 11, 5*i - t*u - 330 = 0. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/9, -3, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 - 15*a**2\/2 - 2*a - 475. Calculate n(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -8\/13 + 2\/13*d**3 - 10\/13*d**2 + 16\/13*d = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 5, 4, -20, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + x - 1. Let g(d) = -13*d**2 + 3*d - 3. Let w(n) = -g(n) + 3*r(n). Let h(z) be the second derivative of 11*z**3 + 25*z. Give w(h(s)).\nAnswer: 4356*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 1\/2 (b) 1 (c) 214 (d) -0.3 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*t - 2*z, -2*t + 5*t + 28 = 5*z. Is (-10)\/25*15\/t*11114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 60. What is x(11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 347659780 rounded to the nearest 1000000?\nAnswer: 348000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*x + 4*j = -181*x + 27, 3*j = 3*x + 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 13*o + 110 = -11*o, 2*o - 104 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let y(t) = 9 - 11 - 10 + 555*t + 13. Give y(m(v)).\nAnswer: 1110*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*r - 8*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311736 is divided by 187385?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*w - 30, 0 = 5*p + 4*w + 7 + 3. Suppose 4*c = 2 + 10, -4*c = 5*f - 2. Put -4, p, f, 10 in decreasing order.\nAnswer: 10, p, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -61*g**3 - 13*g**2 + 53*g + 43. Let l(q) = 8*q - 28*q - 11 + 3*q**2 + 7*q + 15*q**3. Let t(r) = -6*j(r) - 22*l(r). Let t(n) = 0. What is n?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 5. Let i be x(-22). What is the greatest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10784723 is divided by 3594892?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 2 - (-4 + 25). Let m = d + 28. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 7 - z**3 + z + 4 + 9*z**2. Let t be 54\/(-4)*(-6)\/9. Let x be b(t). Solve -3 = x*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15389, 22610, 29829, 37046, 44261, 51474, 58685?\nAnswer: 65894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*y**2 - 214*y**2 + 103*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 8, -1, 3.4 in ascending order.\nAnswer: -1, 0.1, 1, 3.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 138966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56a6 (base 11) in base 14?\nAnswer: -2a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 3*u**2 - u + 10. Let v(z) = z**3 + 4*z**2 - 3. Let q be v(-4). Let k be m(q). Is 68 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/34803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1992688 to 3 dps.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 40*l**2 - 11. Let c(a) = -8*a**2 + 2. Let u(y) = -11*c(y) - 2*j(y). Let m(i) be the first derivative of -2*i**3\/3 + 3674. Calculate m(u(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6. Let a be (s - 0)*(0 - -2). Let c(y) = -2*y. Let b(q) = -q**2 + 1. Let i(v) = a*b(v) - c(v). What is i(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -928 times -22\nAnswer: 20416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 = -26*t - 296. Solve t*l - 3*l - 54 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((44\/48)\/(-11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538318018 a multiple of 4146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19763183 divided by 383?\nAnswer: 51601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 147, 152, 159, 168, 179, 192, 207?\n\"Answer: v**2 + 2*v + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 4*b + 0*d - 128 = 4*d, -m*b + 131 = -d. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3*v - 6*v)*((2 - 4 + 0)*(4 + 4 - 6) + 2 - 4 + 1).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-213783501)\/700)\/(75\/335). Let o = -9548968\/7 - m. Let k = o + -88\/125. What is the common denominator of -87\/20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 3*l + 74. Suppose 0 = 2*b - l - 11. Suppose -23 = -3*o + b. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(108) - sqrt(165)\/sqrt(75))\/((sqrt(77)*2*-2)\/((sqrt(7) - (sqrt(7) - (sqrt(7) - sqrt(63))))*-1)).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 95 = 205. Let q be (m\/(-3))\/(-5)*(-9)\/6. Solve -q + 2 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 24*m + 25. Let y be q(-24). Suppose -29*r = -y*r - 52. Let b(c) = 3*c**2 - c + 3. What is the remainder when b(4) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*a, 4*s + 2*a - 109 - 45 = 0. Is s less than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let p(f) be the second derivative of -22*f**3\/3 - 13*f. Calculate p(a(r)).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 114022 (base 5) to base 8\nAnswer: 10246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:52 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeao. Give prob of sequence eeo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/39*(41 - 54). Solve -2*i - u = b, -5*b + 18 - 3 = -4*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = -5*z, 3*x = x + 4*z + 2. Find the third derivative of -x - 2*h**2 + h**3 + 1 + 3*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3180 = 5*b, -3*f = f - 4*b - 12840. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21311\/9 + -2371. Let a = -22\/9 - l. Factor -4\/3*t - a*t**2 - 2\/3.\nAnswer: -2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -20, 8 in increasing order.\nAnswer: -20, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s + 3. Let l be v(1). Let x be 22\/33 - l\/(-6). Suppose x = -3*o - 4*t + 3*t + 59, 5*o = -4*t + 96. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452513608?\nAnswer: 2, 103, 549167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnn when three letters picked without replacement from nnnrrrrrrrr?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - x**2 - 2*x**2)*(0*x + x - 3*x) - x + x + x**3 + 3*x**3 - 6*x**2 + 6*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*v + 43. Suppose -4*d + 40*d - 864 = 0. What is the least common multiple of d and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 11*i - 16. Give w(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-27)\/(-81)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000330187 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4*r - 267179*i**4 + 30*i**3*r + 1472*i**2*r + i**2 - 2*i*r - i + 8*r + 23 wrt i?\nAnswer: 24*i*r - 6412296*i + 180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 14*j = 2*l - 1988, -2*l - 2*j + 1994 = 0. What is the greatest common factor of l and 597?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.58 + 0.08. Let k = -3 - l. Let r = -0.052 - 3.948. Which is the second smallest value? (a) k (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14071528 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 4*a**2 + 4*a + 6. Let n be l(-1). Suppose n = -58*h + 100 + 74. Solve -h*u + q + 9 = 0, -q = -5*u + q + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 32*b + 1105 = -5*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 121 + 5 = 0. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 9*k**3 - 5*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 79. Suppose 5*u - 23 - 2 = t, -3*u = -5*t - 15. Let n be f(t). Round n to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/276 and -74\/1413?\nAnswer: 129996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 4. Let p(u) = -u**3 + 9*u**2 + 10*u + 7. Let c be p(10). Let f = c + i. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = v - 2, 2*v - 6*c + 3*c = 4. What is the greatest common divisor of v and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707391 is divided by 115.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a331 (base 11) in base 2?\nAnswer: 11010110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Let z be (-24)\/4 - (-126 - 0). Let t = z + -100. What is the remainder when t is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30218488 - 0.6574156.\nAnswer: -30218488.6574156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -440, 3 in ascending order.\nAnswer: -440, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from swsys.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9493.68 rounded to the nearest 10?\nAnswer: 9490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7058\/7 - 1008. Which is the third biggest value? (a) 18\/13 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -361525a8 + 5?\nAnswer: -361525a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30625)\/100)\/(-49)*(-588)\/(-105).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 43. Let d be (-64)\/(-288) - (-2804)\/l. Let a be (-84)\/(-3 - -1) - 3. Calculate the highest common divisor of a and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13860437?\nAnswer: 73, 181, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(-6))\/(o*o\/(o*(o\/o**(-1\/5))\/o)))**(3\/23)*(o**0)**19\/(((o\/o**(-1\/5))\/o)\/(o\/(o\/(o*o**(-1\/2)*o))*o)) assuming o is positive.\nAnswer: o**(83\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 507466 by -2.\nAnswer: -253733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16023 - 4849 + 9472 = -333*q for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/3 - 1442270*z**3\/3 - 2403798*z**2 - 1442286*z + 4326840 = 0?\nAnswer: -3, 1, 721140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3))\/sqrt(7) + sqrt(32)*-6.\nAnswer: -23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*m**3 + 10*m**2 + 30 wrt m.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 5*s + 12. Let b be q(-2). Let t be (-1)\/((-27)\/(-6)) + (-1202)\/b. Let n = -75 - t. Let h(l) = -l**3 - 9*l**2 - 7*l + 4. Determine h(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 - j + 2. Let w(v) = -v**2 + v - 1. Let o(k) = -t(k) - 2*w(k). Suppose a + c = -1, 5*a - 12*c = -8*c - 41. Calculate o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in decades?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39\/19, 121\/3, -5, -1\/7 in decreasing order.\nAnswer: 121\/3, -1\/7, -39\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.4, 1\/34, -55 in ascending order.\nAnswer: -55, 1\/34, 0.4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-345)\/391*1\/6. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530 and 37123155?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.82 - -0.18. Let m = 88\/45 - 14\/9. What is the third smallest value in m, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -53*w + 6200. Let h be s(75). Solve 2282 = -19*p + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/8)\/(-7)*(-6)\/15)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 18. Give h(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86155.206 and 0.3?\nAnswer: 25846.5618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 10. What is the remainder when (12\/9)\/(m\/6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2 + 7*r - 2. Let f(s) = -7*s**2 + 10*s - 2. Let x(t) = -4*f(t) + 5*h(t). Let w(c) = -2*c**2 - 6*c - 3. Calculate -4*w(d) + 5*x(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 18*p - 22. Is 25 a factor of t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*2)\/sqrt(12) + sqrt(525)*-2)\/((sqrt(56)\/sqrt(4))\/sqrt(2)*6).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -1165, -2980, -6273, -11536?\nAnswer: -19261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100180 less than 126739041?\nAnswer: 126839221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4\/5, -368, -1, 33, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -118b19 + -9c?\nAnswer: -118bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.402 - -17.6. Let f = n + -0.2623. Let r = -0.067 - f. What is r rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-783)\/(-522)*((-42)\/(-1) - 0). What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 2. Let w be y(-3). Suppose w = -6*z - 2*z. Is (3 - 2)\/(-3*z\/501) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 1 - 0 - 0*47\/(-1222). Let b(c) = 10*c**3 + 10*c**2 + 30*c + 4. Let j(l) = -7*l**3 - 7*l**2 - 20*l - 3. What is p*b(u) + 7*j(u)?\nAnswer: u**3 + u**2 + 10*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a*a**6*(a**11)**(7\/6) assuming a is positive.\nAnswer: a**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 - 1.5. Let j = -155.3 + 152. Let t = j - x. Which is the nearest to t? (a) -2\/9 (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - (sqrt(135)*-1 - sqrt(135)) - sqrt(135))*-2)\/(sqrt(18)\/(sqrt(6) + 1*sqrt(6)) - (sqrt(3) + -2*sqrt(3))*-3)*5*-4.\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54463 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 1.1358 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -20*w**4 - 44*w**3 + 12*w**2 + 44*w + 8 = 0.\nAnswer: -2, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 4*p + 14, 4*g - 12 = 0. Let a(k) = 4*k + 2 + 4 - 1 - 5 + 1. Let d(w) = 21*w + 5. Calculate p*d(c) + 11*a(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Calculate the common denominator of -85\/4 and (-37)\/(-2) - (-2)\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7250 divided by -2?\nAnswer: -3625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-36 - -35) + -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/3276 and 115\/92904.\nAnswer: 3623256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + m + 7, 3*u + 3*m = 15. What is the second derivative of l - l**5 + l - u*l + 3*l wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 251. Calculate the greatest common divisor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -3942.\nAnswer: 68\/1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, e: 14}. What is prob of sequence eeq?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 10:31 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(5) - sqrt(5)) + sqrt(5) - (sqrt(720)*-1)**2.\nAnswer: -716 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -454422 take away -1.8?\nAnswer: -454420.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 6. Suppose -3*n + 3 = 4*p, l*n - 10 = -4*p + 3. Suppose 0*z + 5*z + 30 = 5*f, n*f = -2*z - 19. Which is bigger: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -3*u + 3*j + 1, j + 27 = -4*u. What is the hundreds digit of (-10 - u)*2\/12*-1446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46984671 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 130. Suppose p - 210 + z = 0. What is the highest common divisor of p and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 36, 0, -9, -4 in descending order.\nAnswer: 95, 36, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820220 (base 10) in base 11?\nAnswer: -1033616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*g + 101*g + 102*g + 208 + 204 - 412.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -101*w + 25 + 39*w + 46*w. Let a(l) = 7*l - 12. Let b(v) = -7*a(v) - 3*h(v). Calculate b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.10109, 0.004, -0.06, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/42021 and 31\/2148552?\nAnswer: 49416696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -45, -59, -73?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(612) - -5*(sqrt(612) + 2))*-5 + 3 + (-1 + sqrt(612))**2 + -4 + -2.\nAnswer: 760 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(163 + 160 - 69)*(1 - 1 - o).\nAnswer: 254*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/7 - 10856*r**2\/7 + 2*r\/7 + 10856\/7 = 0?\nAnswer: -5428, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3 + 3. Let f = 2 - 0. Suppose -x*u + 392 = f*u. What is u rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 7*a**2 + 32*a + 48.\nAnswer: (a + 4)**2*(a + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, x: 1}. Give prob of picking 2 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(1539) + -1 + sqrt(1539) + 5*(-3 + sqrt(1539)) + -2)**2.\nAnswer: -2520*sqrt(19) + 75811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3258524 + 7260024. What is t rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let j(p) be the second derivative of 0 - 32*p - 62\/3*p**3 + 0*p**2. Give j(h(c)).\nAnswer: -124*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + 61. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.12 + 5.2. What is the second biggest value in 2\/9, -0.5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108, -154, -200, -246?\n\"Answer: -46*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lik when three letters picked without replacement from wvklvmlwmwvmkkkmkikm?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from lurgdgllvrdgvr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1542 * -0.2\nAnswer: -0.03084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1140 - 77. What are the prime factors of c?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**3\/3 + 11*h**2\/2 - 9*h + 55. Let x be i(11). Sort 5, x, -3, 3 in ascending order.\nAnswer: x, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**8*v)\/v**(-5\/4)*v**(-4\/7)*v*v**(-2\/3))**20 assuming v is positive.\nAnswer: v**(5045\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/96 - -1)\/(2*13\/(-208)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*g + 4*d, 2*d + 0 = -2. Suppose 0*y - 2*y - 70 = 0. Let m = y + 115. Calculate the highest common divisor of g and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 172, 211, 234, 235, 208?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, 1 p, and 1 c when four letters picked without replacement from {c: 1, h: 1, w: 1, p: 1, o: 2, y: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose 0 = d - 2*d + 5, k + 15 = 3*d. Let z(s) = -s**2 + 24. Let f be z(k). What is the highest common factor of f and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13667019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3276682 + 36?\nAnswer: -3276645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (6 + -20)) + -30\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -205. Is -203 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + (73 - 240 - -7).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 21*a**2 - 38*a + 1216. Give y(20).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 992 + -670. List the prime factors of w.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 2:08 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8067)\/(-12) - 6\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 - -239\/2. Find p, given that -g*p**2 - 1\/2*p + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*m - 120 = -110*m. Put -84, -4, m in descending order.\nAnswer: m, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 100, 135, 152, 145, 108?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e (base 16) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17004 divided by 134\nAnswer: 8502\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1107671, -4430680, -9969027, -17722712, -27691735, -39876096?\nAnswer: -54275795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 560671?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 5*w**3\/6 + w**2\/2 + 3*w. Let x(f) = -6*f - 1. What is -5*g(k) - 4*x(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 312092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 389681.9 + -91.31.\nAnswer: 389590.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:18 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5161 or -5197?\nAnswer: -5161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3381437290 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((5 - 0) + -22 + 23 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**9\/c)\/c*c*(c**(9\/4)*c)\/c)**(-4\/19)\/((c**2*c)**(8\/3))**1 assuming c is positive.\nAnswer: c**(-193\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574\/28909 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -2 - (34 - 29) - (-1 + -25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/63 + (-28)\/45. Let a = -1.1 + -3.9. Let q(o) = -o**3 - 3*o**2 + 8*o + 16. Let c be q(-4). Sort c, a, g in decreasing order.\nAnswer: c, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65+545.452\nAnswer: 610.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -10, -13, -16?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 - 2*y - 2. Let v be c(4). What is the second derivative of 2*j**4 + 2*j**3 + j + 4*j**3 - v*j**3 wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*d - 1, -3*d + 20*c - 55 = -32 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(4*(sqrt(847) + (sqrt(847) + 0 - sqrt(847))) - (-1*sqrt(847) + -4)) - (-1 + 1 + 4 + sqrt(847) + 2)) + 3)**2.\nAnswer: 2772*sqrt(7) + 166093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 5. Let h = -27 - -38. Suppose -4*f = -0*f - 2*b - 8, 0 = -5*f - 3*b + 10. Let l(j) = -j - 1. Let i(d) = f*s(d) + h*l(d). Determine i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1003933, -1003976, -1004049, -1004152, -1004285, -1004448?\n\"Answer: -15*y**2 + 2*y - 1003920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**2 - 14*v + 9. Let b(r) = r**2 + r + 1. Let h(p) = -3*b(p) - z(p). Let a be h(1). Solve -a + 30 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/1)\/(9 + (-455)\/49). Solve 22*i - j*i + 8 - 5*i**2 + 22 + 22*i = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4 (c) -1\/2 (d) -2 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-627)\/(-114)*(126\/(-539))\/(2\/(-14))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 24.9, 2, -1\/145, 1, -2, -1 in descending order.\nAnswer: 24.9, 19, 2, 1, -1\/145, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/5 + 322*z\/5 + 64 = 0.\nAnswer: -160, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1649494336\/2431 - -678525. What is the common denominator of 42\/715 and w?\nAnswer: 12155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26282 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -22) + 8 - 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918 and 82569.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -269360, -269362, -269364?\n\"Answer: -2*f - 269358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - s + 29. Let v(l) = -l**2 - 6. Let y(n) = -6*b(n) - 29*v(n). Determine y(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 5*i - 8. Calculate the remainder when c(-7) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/2 - 17\/6. Let c = 2 + -3. Let q = 2617\/3126 + -2\/521. What is the closest to b in q, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3459321 and 3348.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4 - 20. Let q(x) = -x**3 - 8*x**2 + 2*x + 16. Let w be q(t). Suppose 5*a - 7*a + 4 = w. Solve y + 4 = a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 + 5*v**3\/2 - 163*v**2\/4 - 88*v - 45.\nAnswer: (v - 10)*(v + 1)**2*(v + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15 + 14 + -21 + -28 + 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 1. Let m = -67\/7 + w. Let h = -1.6127 + 1.3127. What is the closest to -1 in 2, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 2ef987?\nAnswer: -2ef98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -10*u + 11*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 + -3.27. Let r = 28 - 27. Which is the nearest to 1\/4? (a) -3\/4 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807*u - 1812*u - 44 = -3*p, -4*p + 12 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + -277. Is 6\/(-18) + c\/(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 13*b**4\/4 - b**3\/6 + 3*b**2 - 91*b. Let o(x) = -2*x**2 - 1. Let v(p) = -n(p) - 6*o(p). Let f(w) = -w**2. What is v(f(c))?\nAnswer: -27*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*o - 14 = -20, -f + o - 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -558 or 19?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4416 and 22?\nAnswer: 48576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*k**2*l**3*u**3 - k**2*l**3*u**2 - k**2*l**3 + 53*k*l**3*u**4 + 7*k*l**3*u**2 - 95*l*u**2 + 2*u wrt u?\nAnswer: 384*k**2*l**3 + 1272*k*l**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91\/505 - 2\/101. What is the nearest to 1\/2 in o, -1\/2, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/18*((-2460)\/40)\/(-41).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*n + 13. Suppose -3*z = -1 - 5. Let p = 2 + -2. Solve -z*r + 1 - n = p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 - 4468*x\/7 - 47952.\nAnswer: -4*(x + 81)*(x + 1036)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.01014892 - 8.07615. Let g = 1 + -0.934. Let m = g + q. Round m to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*((-256)\/40)\/(-8). What is the second smallest value in g, 13\/4, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4421956 to the nearest integer?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3925893.03077 - -3903567.15. Let b = q - -22326. Let k = 0.12 - b. What is k rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/2 - 73*v**4\/2 + 2827*v**3\/2 + 224785*v**2\/2 + 206451*v - 873180 = 0.\nAnswer: -63, -4, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67452 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18262896 minus -0.11?\nAnswer: 18262896.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5\/11 + 4742*h**4\/11 - 9470*h**3\/11 - 14222*h**2\/11 + 18944*h\/11 + 18952\/11 = 0.\nAnswer: -1, 2, 2369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21859 + 21895. Suppose 4*y + 10 = -2. Let m(w) = -w - 3. Let k be m(y). Solve 3*f - 5*v - 1 = n, 2*v + 10 = k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -53. Let z = i - -41.2. Let p = 4.3 - z. Is -0.08 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1347, -8\/25, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(396) - sqrt(396))\/sqrt(12) - (1*sqrt(198) + sqrt(198))\/sqrt(6))\/(sqrt(192)*1*3))**2*-2.\nAnswer: -11\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0812 + -8.3012. Let b = v + 6.5. What is b rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -26*d**5\/9 + 9338*d**4\/9 - 38486*d**3\/9 + 51902*d**2\/9 - 25568*d\/9 + 2840\/9 = 0.\nAnswer: 2\/13, 1, 2, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -562 + -16996?\nAnswer: -17228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 7*t**2 - t + 6. Let k be s(7). Let y(q) = -3*q**3 - q. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 7*i + 0*i)*(11 + 20 - 14).\nAnswer: 85*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -247044.8.\nAnswer: -247027.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 10*f**2 + 7. Suppose -7*x = -10*x + 15. Suppose -x*l + 17 = -33. Let c be s(l). Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 + 23*y - 2*y**3 + 3*y**3 to x*y**3 + w*y**2 + m*y + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:18 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562639 is divided by 80369.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:07 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.28 - 0.58. Let n = 34020 + -34018. Sort y, -1, n.\nAnswer: -1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13231054769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -41*l**3 - 1. What is the tens digit of b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/3, 0.1, -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 + 8 + -2 + (4 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgw when three letters picked without replacement from {b: 3, n: 2, w: 3, p: 3, r: 1, g: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(1\/4))\/f))**42*(((f*f\/(f\/f**(-5))*f)\/f)\/f)\/f**(3\/8) assuming f is positive.\nAnswer: f**(209\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g - 47. Let n(l) = -5*l + 38. Let y(w) = -73*w + 547. Let i(k) = -58*n(k) + 4*y(k). What is 7*i(r) - 2*p(r)?\nAnswer: 2*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:19 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27471578.\nAnswer: 2, 13735789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/24 and 151\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 154. Let d be p(9). Suppose 168*g - d*g = -328. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215966 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 5. Let o be b(-5). Let v = 7 + -3. Let y be 2\/4*(-41 + 43). Put y, o, v in decreasing order.\nAnswer: o, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2860.07 and 5.2811.\nAnswer: 2865.3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 6 + 13*p + 10 + 3*p**2 + 7 to the form r*p**2 + k*p + x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p**2 - 26 + 26. Let c(l) be the second derivative of l**7\/840 + 2*l**4\/3 - 5*l. Let d(h) be the third derivative of c(h). Determine q(d(v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -170*h**3 - 1. Let i be y(-1). Suppose 31 = -6*t + i. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sprw when four letters picked without replacement from sppzrjwwzpw?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3114 * 0.05\nAnswer: -155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10093.21 millilitres to litres.\nAnswer: 10.09321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - -100112?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 7*m - 2*m)*(-m - 3*m**2 + m) - m**2 + m**2 + 4*m**3 in the form a*m**2 + y*m**3 + c + b*m and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -6, 2 in increasing order.\nAnswer: -42, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*t - 0*k - 172, 4*t + k - 389 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 5*j - 51 = 5*j + j for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -575.212, 1\/18, 0.1 in ascending order.\nAnswer: -575.212, 1\/18, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232216, 2\/15, -0.3, -63 in decreasing order.\nAnswer: 2\/15, -0.3, -63, -232216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:40 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from kgukoqqtouqtoo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569720 a multiple of 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 + 3*u + 1. Let o be 8 + (-2)\/((-8)\/12). Suppose -25 = -3*c + o. What is the remainder when n(-2) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(3) + -1)*-3 + (sqrt(72)\/sqrt(2))\/sqrt(12)*-3)*-5)**2 + 2.\nAnswer: 1800*sqrt(3) + 3602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - 3*b + 2*b**2)*(2 - 3 + 2) + b**2 + b**2 - b**2)*(17*b**2 + 36*b**2 - 5*b**2).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 309722975 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let h(d) = -100*d + 62*d + 12*d + 227*d + 323*d. What is p(h(i))?\nAnswer: -524*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.61 - -4.39. Which is the nearest to 1? (a) -18 (b) 1\/5 (c) -2\/7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v + 3*v + 2*v. Let p(m) be the first derivative of 0*m + 1 + 1\/2*m**2. Calculate o(p(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 869\nAnswer: 869.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6751 and 38.187?\nAnswer: 6712.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:57 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10144.54 - 10144.34. Let v be (-1 + 2)\/((-1)\/113). Sort v, -2, k in descending order.\nAnswer: k, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 3*u - 5 + u**3 + (-5 + 1 + 2)*(5*u + 2*u - 4*u)*(3*u + 9*u**2 + 2*u - 3*u).\nAnswer: -53*u**3 - 12*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*k = 260*k - 163*k + 20400 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-700))\/(62\/(-155))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5185*f**2 - 50 + 836*f**2 - 1005*f - 43 + 93 wrt f?\nAnswer: -8698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 10. Suppose 0 = -5*r - 0*r, -k*q = -2*r - 110. Suppose -8*c = -3*c - q. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 10 = -15*o. Is 0.7 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 352*t + 52597. Give w(-147).\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 2, -100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 - -86. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -11) + (-5 - (-19 - -13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 6*y - 5*y - 95 = 0. Let p(a) = 2*a**3 - 2*a**2 - 2. Let x(f) = -f**2 - 1. Give y*p(b) + 10*x(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72175423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21822 by -6.\nAnswer: -3637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*j**2 - 58550*j - 2019.\nAnswer: (j - 2019)*(29*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(6) - sqrt(60)\/(sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(3) + sqrt(10))) + sqrt(6)).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-312)\/(-234) - ((-12777)\/9 - 2).\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55154 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79.3 or -0.558?\nAnswer: -79.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126133740 by -25226748.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 43*v + 171. Give c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**3 - 33*i**2 + 9*i + 33. Let b(g) = -3*g**3 + 16*g**2 - 5*g - 16. Let y(t) = -7*b(t) - 4*c(t). Let y(m) = 0. Calculate m.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131*p**3*u - 1336640*p**3 + 1177*p*u + 3*u**2 - 4*u - 1 wrt u?\nAnswer: 131*p**3 + 1177*p + 6*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5*j + 5*j)*(-5*j + j + 3*j + (j + 1 - 1)*(-1 + 0 - 1) - 2 + 2*j + 2 + 8*j - 2*j - 4*j + (3 + 1 - 2)*(-6*j + j + 4*j) + 0 + 0 - 2*j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -653*s**4\/6 + 949*s + 2. Let o(a) = 8*a. Give o(f(r)).\nAnswer: -10448*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:13 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -3793*q + 3818*q. Calculate the smallest common multiple of q and 3902.\nAnswer: 19510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 12*a**2 + 3*a + 41. Let n be x(-12). What is the third derivative of 60*i**n - 22*i**5 + i + 6*i**2 - 5*i**2 - 6*i**5 wrt i?\nAnswer: 1920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 13*g - 25. Give m(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.358 - -0.642. What is the second biggest value in 0.2, -6.4, k, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 - 300*o**4 + 1210*o**3 + 78000*o**2 + 54589*o - 874380 = 0.\nAnswer: -13, -4, 3, 19, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814395 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3960 is divided by 241?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 113326 = 91487. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273*r**4 - 4046*r**2?\nAnswer: 6552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 13*k - 6. Suppose 0 = -2*a - 2*v + 4, -a + 2*v = -v - 18. Let h be r(a). Solve h = 4*b - b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -30, -76, -160, -294, -490, -760, -1116?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*v - 5*v. Let x = v - 17. Let j = x - -53. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y**3 - y - 7*y**2 + 4 + 5*y - 18*y**3. Calculate s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 89 = 5*k - 372, 3*v = -3*k + 177. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 - (3 + -4). Suppose -9 = s + 1. Put y, s, 0 in descending order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 - 184. What is the first derivative of -b*m + 5 + 17 + 79*m wrt m?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 840 = -4*w. Let x(f) = f**3 - 13*f**2 - 87*f - 34. What is the remainder when w is divided by x(18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19777383 by 12.\nAnswer: -6592461\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:57 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -1219*(-6)\/(-2478). Let t = 7993\/14042 + k. Find the common denominator of t and -27\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2. Let n(w) = 11*w**3. Let z(x) = -n(x) + 6*y(x). What is the third derivative of z(q) wrt q?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18)*4 + -4.\nAnswer: -1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-3)\/(-10))\/1)\/(((-96)\/40)\/(-6)). What is the closest to 2\/3 in 77, 0, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15846?\nAnswer: 2, 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s**2 - 4*s + 33. Calculate v(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((0 + -2)\/4)\/((-2527)\/70756)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2 - 12910804*x + 41672214981604 = 0?\nAnswer: 6455402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 86.\nAnswer: 3182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(3*(-30)\/9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.324 * 43\nAnswer: -13.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000099058 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -f6b3?\nAnswer: f6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 5. Suppose 4*j + i = 2*i + 21, -k*i + 12 = j. Suppose -4*g = t - j - 17, 2*t = -2*g + 16. Solve -4*d = -t*p, -3*p = d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/30 + 10*c**2. Let o(v) be the third derivative of 2*v**2 + 0*v**3 + 3\/8*v**4 + 0 + 0*v. What is o(h(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/3 - 2*c**4 + 2*c**3\/3 + 2*c**2 - 4*c\/3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 72575.818 to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14969817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 17. Suppose -5*r - z = -18. Let f be 2\/6 - 44\/(-3). Solve -3*t = r*a, 2*t + t = f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1168453?\nAnswer: -467381.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9312 + 55?\nAnswer: -9279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + v + 2. Let z be i(2). Let x be 4*(0 - 4\/z). Calculate the lowest common multiple of 20 and (-1)\/2 + 5\/x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.83 + 0.17. Let f = -21.1 + 22. Let o = f - w. Which is the second smallest value? (a) -1\/3 (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v + 48. Determine n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + c - 15, -5*v + 5*c = 35. Let s(u) = u**2 + 4*u + 6. Let t be s(v). What is the third derivative of t*l**5 + 16*l**2 + 6*l**2 + 17*l**5 wrt l?\nAnswer: 1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*z - 1822, -3*f - 3*z + 193 = -2546. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i*j*v + 239*i*v**3 + 3*j**2*v**2 + 2*j**2*v - 3*j*v**3 - 11*j + 18*v wrt v?\nAnswer: 1434*i*v + 6*j**2 - 18*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2109229 divided by -7841.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and -63463?\nAnswer: 22846.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - -1.66. What is the fourth smallest value in -1, -0.5, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 30 = 5*k. Let g(d) = 2*d**3 - 5*d**2 - 4*d + 8. Let i be g(3). Suppose -i*j + 3*j = -k. Solve -j*c = 2*f + 11, 2*f = 2*c - 0 - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -365.8 and -4887.\nAnswer: 1787664.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/7)*k)\/(k*k*(k*k\/(k*k\/k**12))\/k)*k**(-2\/15)*k*k*k**(3\/11))**22 assuming k is positive.\nAnswer: k**(-20798\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3898.327093 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21831524 is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9710*r + 58263. What is x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067535 to 6 decimal places.\nAnswer: -0.000675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81, -137, -193, -249, -305?\n\"Answer: -56*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 481223 - 481538 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 + -102?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 1*(3*sqrt(245)*-3 + (sqrt(245) - (-3 + sqrt(245) + sqrt(245) + sqrt(245))) + sqrt(245) + -5)**2 + 4).\nAnswer: 1400*sqrt(5) + 122560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 6 - (-919 - -975).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u + 271. Let b be n(-29). Solve -b*l - 31 + 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in 0.1, 1, -1\/6, 48\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -2*d**2 + 0*d - 1\/12*d**4 + 0 - 5\/6*d**3. What is the derivative of t(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2007276 divided by 5\nAnswer: -2007276\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 + -280. Let l(n) = -22*n**3 - 3*n**2 + 19*n + 53. Is l(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 15*t**2 - 11*t + 14. Let c = -68 - -76. Let z be k(c). Sort 4, z, -5 in descending order.\nAnswer: 4, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/7 + 1289*w**2\/7 - 284440*w\/7 + 2484300.\nAnswer: -(w - 1029)*(w - 130)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9 = -5. Put i, -4, -5 in increasing order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose t*m - 4*m = 16. Suppose -4*p + 17 = -3*l + 4*l, 4*l - 16 = -3*p. Sort m, l, -2\/7.\nAnswer: m, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-11)\/(y**(-4\/9)\/y))\/(y*y**(-2)*y*y**(-4\/5)))**3 assuming y is positive.\nAnswer: y**(-394\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 261023924.\nAnswer: 261023924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i + 813. Let w be t(34). Which is the third smallest value? (a) w (b) -0.564 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -58*o - 3. Let w(h) = -3*h**2 + 2*h - 1. Suppose a + 0*a = 1. Let c be w(a). Is s(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:34 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.239, 4 in descending order.\nAnswer: 4, -0.239, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(30)*-1*-1)\/(sqrt(490)*-1))**2.\nAnswer: -6140\/49 + 50*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/302 - 4007\/3020. Calculate the common denominator of -75\/44 and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o - 32 = -g - 172*o + 89*o, -o - 138 = -3*g for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 35*d**4 - 7*d**2 + 70*d. Let g(u) = -2*u**2 + 27*u - 4*u + 2*u**4 + 10*u**4. Let a(h) = -2*b(h) + 7*g(h). Find the second derivative of a(i) wrt i.\nAnswer: 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4630 (base 9) to base 6.\nAnswer: 23513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 2 (b) 5\/4 (c) -249 (d) -1\/12 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -459677 * 241\nAnswer: -110782157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 429 + -428.89. Which is the smallest value? (a) 1 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 32\/7*v - 24\/7 - 2\/7*v**3 - 6\/7*v**2 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 558256.\nAnswer: 1674768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 27 (b) 3\/8 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-2) - -3)\/((-3)\/24). Let n(v) = -2*v**3 - 4*v**2 - 6. Let f(i) = 4*i**3 + 7*i**2 + 11. Calculate g*f(m) - 7*n(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from sosjbbsbojjjosjjsu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 7, e: 7, o: 1}. What is prob of picking 1 j and 1 q?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2. Let o(n) = n**3 - 2*n**2 + n + 2. Let m be o(2). Let c be (m + -2)*(-10)\/(-4). Let j(l) = 0*l - c*l**2 + 0*l. Calculate j(u(t)).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.4 + -36. Let s = 0.6 + m. Let i = -3.7 + 4. Which is the nearest to 0.4? (a) s (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 - 8 - (-1 - (-5 - 6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -868 - -865. Let c = 1.7 + -3.7. Let q be (2 - 2\/(-4))*-2. Put c, q, 3, m in descending order.\nAnswer: 3, c, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 108. Let p be s(-35). Suppose -69*h - 176 = -p*h. Is h smaller than -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 1. Let a(l) = l**2 + 3*l - 3. Let f be a(-4). Let i be q(f). What is the closest to 0 in i, 0.5, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0 (base 15) in base 8?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 2*t**3 + 4*t**3)*(t - 4*t + 4*t) + 3*t**4 + 4 - 7 - 5.\nAnswer: 4*t**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (14040\/28)\/(-27).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 167\/(-13) + 2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3959, -7918, -11877, -15836, -19795?\nAnswer: -23754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1*(-3 + 0). Let f = -13 - -15. Let n = -129\/38 - -17\/19. What is the smallest value in f, s, -3\/4, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, b: 1, a: 2, r: 1, o: 10}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1935326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 105 = -q - i, 0 = -5*q + 2*i + 531. Let z = q - 98. Find the third derivative of -3*y**6 - 2083*y**2 + 2072*y**2 - z*y**6 wrt y.\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 99925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 + -1.6. Sort l, 1\/5, -1 in descending order.\nAnswer: l, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcx when three letters picked without replacement from {d: 4, j: 3, c: 6, e: 2, x: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or 12677\/877?\nAnswer: 12677\/877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -311, 96?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.6 - -47. Let o = 5.073 + -0.073. Which is the second biggest value? (a) -5 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075204 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -507380 > -507384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5\/4, -3, 75, 4 in decreasing order.\nAnswer: 75, 4, -5\/4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b - 22*b = -132 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((28\/140)\/((-16)\/30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 90. Let k = y - -24. Let u be ((-12)\/(-15))\/((-1)\/(-5)). Calculate the greatest common factor of k and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 - 69)*((-3)\/50)\/(2028\/130) and (3\/39)\/((-1)\/7)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemjsmyjf. Give prob of sequence fe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 95. Let j = -1794.2 - -1794. Let w = 4 + -3.7. Which is the nearest to 2? (a) x (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*p + 14 = 0, -15*n - 3*p - 20 = -11*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t = 39524 - 38692 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32013292 to the nearest integer?\nAnswer: 5658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6052754 + 0.2459.\nAnswer: 6052754.2459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -121720107?\nAnswer: 121720112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -11 - -32 - (-4 + 45 - -2 - 6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -392*p**2 + 2*p - 2. Let w(r) = 420225*r**2 - 2145*r + 2145. Give -2145*k(z) - 2*w(z).\nAnswer: 390*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*32\/(-48)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, k: 8}. What is prob of picking 4 k?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3 + 5. Suppose 2*s + p*s = -104. Is 4768\/104 + (-4)\/s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:42 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110591173.\nAnswer: 7, 11, 1436249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1db + b765?\nAnswer: b568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7289027 is divided by 2420.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -660 - 3?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h + 1. Let g(o) = 2*o**2 - 2*o - 2. Let q(c) = -g(c) - 3*w(c). Let n(b) = -2*b**3 + 4*b**2 - b - 3. Determine -n(s) + 3*q(s).\nAnswer: 2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**3 - 7*j + 10. Let s be ((-72)\/21)\/(-1) - 6\/14. Is r(s) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*p + 534*p - 11250 = 189*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13635*b*w**2 - 3*b - 231471*w**2 with respect to b.\nAnswer: -13635*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-1)\/(-262)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/63, -1.8, -16, 0 in increasing order.\nAnswer: -16, -1.8, -2\/63, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203113111405 - 1?\nAnswer: -203113111410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 12*r = 25. Let o = r + 26. Solve o + 3 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)*i)**33*((i\/(i**14*i))\/i)\/(i*i**(-14)) assuming i is positive.\nAnswer: i**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b**2 - 15. Let k(c) = 18*c**2 - 14. Let q(h) = -9*h**2 + 7. Let f(a) = 3*k(a) + 7*q(a). Give 13*f(i) + 6*t(i).\nAnswer: -3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33075 divided by -75?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 + 4*i**2 + i - 9. Let y be g(4). What is the highest common divisor of 35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.856 - 0.144. Is y less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2 - w - 12. Let b be h(-4). Let t = 148 - b. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 - 3*q**2 + q - 2. Let f be b(3). Let v = -25 + f. What is the greatest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1978\/(-2967))\/(20\/(-24)*20).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1253100*q**2*w**3 - 5*q**2*w**2 - 154795*q*w**3 + 2*q*w - w**3 wrt q?\nAnswer: 2506200*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/2*(-6)\/(-9). Let s = -19 - p. Solve 3*r = s*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1364097, 1364456, 1364803, 1365132, 1365437, 1365712, 1365951?\nAnswer: 1366148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 + 305. Let k(t) = 304*t + 12. Let o be k(i). What is o rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhttshdhr. What is prob of picking 1 r and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 1. Suppose -17 = 5*o + 3*g, -2*o - 4*g = -0*o + 18. Let v be m(o). Suppose 0 = u - 6*u + 4*x + 32, 0 = u - 3*x - v. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/6, -6, -3\/4, 1.\nAnswer: -6, -4, -3\/4, 5\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161 - 27*o + 161 to y*o + w and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 45. Let b = -33 - -57. Let o = b - p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzww when four letters picked without replacement from {w: 2, y: 3, f: 1, t: 3, z: 1, p: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/(-20) - -1) + 55\/220.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 13*k + 90. Calculate the least common multiple of k and (-4 - (-1 - 3)) + 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 (base 6) in base 15?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d5a (base 14) in base 15?\nAnswer: ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1363 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 - 2*o + 9. Suppose 0 = 2*v + 2 + 8. Let z be x(v). Find the common denominator of z\/(-33) + 1049\/220 and 15\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43813941.\nAnswer: 3, 14604647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*n**3*p**2 - n**2*p**2 + 10*n**2 wrt n.\nAnswer: 756*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 46) + (0 + 0 - -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (357*x + 81*x + 35*x)*(5*x**2 - 2*x**2 - x**2).\nAnswer: 946*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499679 is divided by 124933?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -6.07. Let u = -11.44 - -11.94. Which is the nearest to t? (a) 0.2 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {i: 2, u: 1, b: 2, n: 1, m: 1, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h + 3. Let a(p) = 4 - 1 - 8 - p - p. Let i be a(-4). Solve 2*g = 3*m + h*g, -i*m - 15 = -4*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1995 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1581 = -14*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*h**3*j**3 + 2*d*h**3*l - 41*d*h*j**3 + 2*h**3*j**2*l**2 - 3*h**3*j**2*l + 28*h**3*l**2 - 3*h*j**3*l**2 wrt j.\nAnswer: 6*d*h**3 - 246*d*h - 18*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27.4 + 6.4. Let r = 3 + -25. Let z = n - r. Which is the biggest value? (a) -2\/11 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 133, -2, -2\/21, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n + 413*n - 58434 + 21033 = 66*n for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + d**2 - 4*d**2 - 2.\nAnswer: -3*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let w be (-1)\/(-6 - 654\/(-108)). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:46 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 278 + -258. Which is the third smallest value? (a) f (b) -2\/7 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = o + 59, -4*o = -2*w + 186. Let z = 72 + o. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 14. Let y(z) be the third derivative of 5*z**4\/24 + z**3\/3 - 189*z**2. Let i(s) = -4*s - 2. Determine x*i(o) + 6*y(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -77. Factor -390*b**2 - 4*b**4 - 141*b - 245 + 51*b**i + 29*b**3 + 701*b - b**4.\nAnswer: -5*(b - 7)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 44, 68, 94?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 80 = 4*s. Let a = -4 - -8. Suppose a*r - 20 = 28. What is the lowest common multiple of r and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 57799686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -29*a**4\/12 + 40*a - 3. Let t(l) = -11*l. Determine f(t(g)).\nAnswer: -3509*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0, 0.44, 2, -1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690751*f**5 + 478120*f wrt f.\nAnswer: -13815020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 - 126. What is the lowest common multiple of 27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63*1\/(-1)*1. Let i = 66 + w. Suppose -v + i*v = 5*f - 4969, -5*f + 4963 = -4*v. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166722*-55\nAnswer: 9169710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/34, 2, 0.03, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**13\/r)*r*r\/r**(-10))\/(r*r**(-2\/3)*r\/r**14) assuming r is positive.\nAnswer: r**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 150 - 3. What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(80\/(-10)) + 5 + -1. Solve k = -l*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/12))\/(c*((c*c*c**28*c)\/c)\/c*c))\/(c*c**17)**(-1\/41) assuming c is positive.\nAnswer: c**(-14585\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13225 - -4555?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r = 4*u - 30, -4*r + 4*u = -60. Find the second derivative of -121 - r*l + 121 + 11*l**2 wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(256)*-1)\/sqrt(2)*1 - ((sqrt(22)\/(sqrt(1584)*1 + sqrt(11)))**2 + sqrt(14)\/sqrt(63)*6).\nAnswer: -2\/169 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3349 times 9.8187?\nAnswer: -32882.8263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 - 7*m + 3. Calculate q(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4876.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/6)*f*f*f\/f**(-4\/11)*((f*(f*f**0)\/f*f*f*f)\/f)**3*((f\/((f*f**(-3)*f)\/f))\/f**(1\/5))\/(f**(3\/2)\/(f*f*f**(7\/4))) assuming f is positive.\nAnswer: f**(12043\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let b(w) = -147 + 147 + 15*w**2 + 12*w**2. Determine b(p(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 17 - 107 = 0. Let w be (-36306)\/(-63) + 0 + 20\/(-70). What is the greatest common divisor of w and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*s - 135*s = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -341, -515?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2. Let x(t) = -1. Let j(c) = -26*c + 10. Let n(b) = -3*j(b) - 30*x(b). Give i(n(z)).\nAnswer: -12168*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 105*o**2 + 17*o - 19. Give k(-2).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 24 - (1 + -24) - (-1 + 8) - -27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v + 12. Suppose -2*o + v = o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 14, 11, 8, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -9a01?\nAnswer: -99b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -3027?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(1573) - (sqrt(1573)*-5 - sqrt(1573)))) - -6*(sqrt(13) + sqrt(130)\/sqrt(10) + 1 + 0))**2 + -3.\nAnswer: 2628*sqrt(13) + 623526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -917 or -16330?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29650510 a multiple of 1013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 11925?\nAnswer: -2\/2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 32*c**2 - 27*c**2 - 6*c**2 + 2*c**4 + 2 to b + x*c**2 + g*c**3 + s*c**4 + d*c and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424520306 to the nearest integer?\nAnswer: 20604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82629, -82645, -82679, -82731?\nAnswer: -82801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + 2*i + (3 + 0 - 1)*(2*i - 5*i + i))*(0 + 0 - 1) + 0 + i + 0 as q + b*i and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185*y**6 + 2*y**5 - 258*y**3 + 626732*y**2.\nAnswer: -22200*y**3 + 120*y**2 - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 109335 - 109361 = v, -7*s = v + 38 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 146*x + 325. Let h be b(-71). Let d be 84 + 0 + -3 + 1. Suppose -w - 2*y = -h, -2*w = -y - 25 - d. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1911 less than -7413032794?\nAnswer: -7413030883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 46. Suppose 3*i + 53 = -g, 0*i - 3*i + g = 55. Let b = i - y. Let a(h) = h**3 - 5*h**2 - h - 7. Calculate a(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 894 - 902 - 74*u - 148*u.\nAnswer: -222*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13 + -5 + 3002 - 8?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12*-2 - -2)*-4. Let u = -91 + y. Let h(w) = 19*w**2 + 3*w - 7. What are the prime factors of h(u)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1)*k*k)*k)\/(k*k**(-2\/89)*k*k)*(k**2*k)**32 assuming k is positive.\nAnswer: k**(8279\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*n - 101 = 0, 1577*n + 142 = z + 1582*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 30. Let h be n(-7). Suppose h*b + 563 = 2*o + 5*b, b = -4*o + 1131. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f\/(f*f\/(f*f*f**(-2\/5)))))*f)**(-7\/6)\/(f**0*f\/f**2) assuming f is positive.\nAnswer: f**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 142066163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298479385 to the power of 1\/2, to the nearest integer?\nAnswer: 36034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v\/((v**(-3\/2)*v)\/v*v))**(-2\/3) assuming v is positive.\nAnswer: v**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -1.5. Let v = m - -1.6. What is the third biggest value in 1, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 46 = -5*h, -76 = -4*z - 5*h + 16. What is the remainder when 136 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y - 4. Let w(r) = -73. Let s(j) = -201. Let l(x) = -4*s(x) + 11*w(x). Determine -2*l(h) - o(h).\nAnswer: -21*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 5*j. Let n be o(-5). Suppose n = -2*v - 7 - 11. Let w(z) = z**2 - 5*z - 6. Let d(k) = -2*k**2 + 11*k + 13. What is v*w(c) - 4*d(c)?\nAnswer: -c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -53 + 80 + -15 + (83 - 0 - 1)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2, -5, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/11 + 201372*v**2\/11 + 604090*v\/11 - 73224 = 0.\nAnswer: -100683, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -678 + 678.4. Let t = 14 + -22. Sort -3\/4, g, -3, t in decreasing order.\nAnswer: g, -3\/4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(54\/(-60)))\/(8\/(-12)). Suppose b*p = 18*p - 11960. What are the prime factors of p?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*z + 74*z - 217*z + 80*z + 12*z**2 - 3*z**3 + 4 to the form s*z**3 + g + q*z + u*z**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c)\/c*c*c\/(c**(11\/5)\/c*c)*c*(c**(-7)\/c)**(-2\/11) assuming c is positive.\nAnswer: c**(234\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pptr when four letters picked without replacement from {w: 3, t: 1, r: 1, p: 7}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7036769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 39. Determine d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**2 - 10*r**2 - 8*r**2 + 3*r**2 as c*r**2 + n + b*r and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 885\/(-150) - 3\/((-3)\/3). Factor d*a + 2\/5*a**2 - 1\/10*a**3 - 2\/5.\nAnswer: -(a - 4)*(a - 1)*(a + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1244955592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4394373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 16. Suppose 19 = o + 4*b, 3*b - z - 49 = -4*o. What is the highest common factor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(1\/17)*(c\/c**(1\/4))**(-29) assuming c is positive.\nAnswer: c**(-4445\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-135) + (-4)\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -13. What is the units digit of (-3)\/(-12) + (-158)\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 62*f**2 - 56*f - 1630. What is q(-21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.548 (b) -0.5 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1140877748 to the nearest one million.\nAnswer: -1141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**2. Let z(f) = 4405052*f**2. Determine w(z(b)).\nAnswer: 155235864981632*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:21 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -8. Let t(q) = -p*q**3 + 20*q - 16*q - 3 + 5*q**3 - 4*q**2. Give t(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 29596.\nAnswer: 118384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-3))\/(-8)*(-12 + 0). Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let k(b) = -5*b**3 + 7*b. Let q(g) = g - 4. Let l be q(3). Let t(u) = l*x(u) - k(u). What is the second derivative of t(r) wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 10*o**2 + o + 19. Let w(x) = 4*x + 5. Let j be w(-3). Let z be 0 - 3 - 91\/j. Calculate the remainder when r(z) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/180 and 77\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:13 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + w**2 - 30)*(2 + 2 - 1) + (0*w + w + 0*w)*(-3*w - 7*w + 0*w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 5*n - 83 = 0, 4*n = -s + 128. Is 36 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192705841299 plus -3?\nAnswer: -1192705841302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2336 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1102 + 235 + 211)*(3*n - 3*n - 3*n**2).\nAnswer: 1968*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3892 - -7332. What is the remainder when q is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 11*r**2 - 21*r - 63. Calculate u(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9\/2, 34.\nAnswer: 3, 9\/2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(-11\/6)*(y\/(y\/(y\/y**(-4))*y*y*y)*y)**(-4\/7) assuming y is positive.\nAnswer: y**(118\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585, -591, -597, -603, -609, -615?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32467172 rounded to 3 dps?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.92 - 15. Let s = v + 0.78. What is the second biggest value in -1\/2, s, -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -49. Let c = o + -11. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 + 29*h + 9. Let m be b(4). Suppose -5*z = 3*q - 629, -m*z + q = -12*z - 121. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 38 = -5*q + 8, 4*q - 12 = -2*y. Solve q = 37*l - 9 + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 20*z**2 + 18*z - 24. Let j be v(-19). Suppose -7*y + 3*y = 1076. Let b = y + 1880\/7. What is the third biggest value in b, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2057) - (1*sqrt(2057) + sqrt(2057))) - (sqrt(2057) + 0)*1)**2*-6.\nAnswer: -49392 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**4\/6 - 3*k**2. Let q(b) be the first derivative of -b**3 + 152. What is y(q(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-6) + 5)\/((-152)\/(-64))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1658.6 + -1658.2. Which is the second smallest value? (a) 1 (b) l (c) -1\/10 (d) -0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2. Let b(s) be the second derivative of 13*s**4\/12 - 19*s. Give b(h(f)).\nAnswer: 117*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 4)*(-1127 + 1127 - 34*u**4).\nAnswer: 272*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 2\/3, -0.4, 46\/9, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*y = 3. Let o(i) = -i**3 - 8*i**2 - 8*i - 5. Let d be o(-7). Suppose -d*m + 9 = -1. Solve y*v - m = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58185401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2802.\nAnswer: 2\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 5 + 0.\nAnswer: 5 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 943437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 i when three letters picked without replacement from hhldidinnnhhdhhizhh.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9163 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -1\/4 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -52. Let w be (-4)\/p*(-2140)\/4. Is w - (2 + -3 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78038656 divided by -4\nAnswer: -19509664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, -533?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 26*i**3 + 169*i**2 + 144*i.\nAnswer: i*(i + 1)*(i + 9)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-5)\/20)\/((-76)\/(-8))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/6 - b**4\/8 + 2*b**3\/3 - 434*b**2. Calculate h(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-58)\/(-8) - (-3)\/36*-3. Let a(y) = y**2 - 7*y + 3. Let x be a(l). Suppose 3*f = -2*i + 18, 0*f = x*i - 2*f - 1. Solve i*w - 3 = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 517, 767, 1019, 1273?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from {a: 6, i: 9, w: 4}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/26 - 342\/(-26). Are 15 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*i**3 + 14*i**5 - 70*i**2 - 28*i**3 - 8*i**5 - 4*i**5 wrt i?\nAnswer: 120*i**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than -180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82293341 is divided by 151.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -36, -30, -22, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttyjjjttjppj. Give prob of picking 1 p and 2 y.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u + 25*u = 40*u - 231. Calculate the common denominator of u and (-63)\/276*(-3)\/(-6).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3276 + -2502. Let k = g + -774. Factor -1\/5*v - 3\/5*v**3 + k + 4\/5*v**2.\nAnswer: -v*(v - 1)*(3*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*h*u**3 - 19*h*u**2 + 8*u**2 wrt u?\nAnswer: -1254*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**3 + 2*c**3 + 2*c**3)*(19 + 0 - 5)*(-1 - 3 + 6)*(68 - 203 + 65 - 1 - 1 + 0 + (0 - 4 + 3)*(-3 + 1 + 0)) as w*c + z + o*c**3 + f*c**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 21. Suppose -4*l - 4*n + 36 = 0, -f + 61 = 5*l + 4*n. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1300 - 1298. Solve 0 = 2*t + 4*x - 14, b*x - 4 - 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -24. Let z be 4\/5*(-10)\/(-4). Let j be z\/8 - 3\/28. What is the third smallest value in j, -5, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/20 - p**4\/2 + 7*p**2\/2 + 4*p. Determine h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 - 79 - 42)*(-2*p**3 + 0 + 0) + (-5*p + 3*p + 0*p)*(-2*p + 2*p + p**2).\nAnswer: 418*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - 320. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19077 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 48*c**2 + 430*c - 13. Let w be g(-9). Suppose -5 = -r + 4. Suppose 3*z - 6 = r. Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*w + 21 = 0, 4*s + 2*w - w - 62 = 0. Suppose 13*d - s*d = -56. Calculate the highest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -7*l + 734. Suppose l = 11*t - 235. Solve -4*m = -21 + t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (0 - -6) - 6) + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*i = 5*n - 470, 282 = 3*n + i. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**4 + 5*z**4 - 30*z**2 + 2*z**5 + 2*z**5 - 17*z**2 wrt z.\nAnswer: 240*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = t. Suppose r - m = t*r - 3, -r + m = 0. Solve -3*j - 5*z + r = -5, -2*z + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d**2 - d. Let v(k) be the second derivative of 35*k**3\/6 - 1288*k. Calculate o(v(i)).\nAnswer: -11025*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -436. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 583 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 78. Let x(d) = 3*d - 76. Determine 2*g(h) - 3*x(h).\nAnswer: -h + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/81 + 788\/726 + -2 and -65\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -5855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(-25)\/(y*y\/(y*(y**(-1)*y)\/y))**(-14) assuming y is positive.\nAnswer: y**(134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26910 (base 11) in base 4?\nAnswer: -21113200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*s - 31, -2*r + s - 11 = -12. Suppose -4*f - 5*p + 2096 = 0, 24*p + 1573 = r*f + 28*p. List the prime factors of f.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.81 to 0 decimal places.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 375 = 5*y, 2*y - 210 = 6*b - 7*b. Let x = -195 + b. What is the smallest common multiple of (-4)\/((18\/(-15))\/3) and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75967 times -779?\nAnswer: 59178293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + 349*z**3 + 1040*z**2 + 692*z.\nAnswer: z*(z + 1)*(z + 2)*(z + 346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302796834 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -47*y**7\/30 + y**6\/60 - 139*y**3\/6 + 287*y**2. What is the first derivative of u(f) wrt f?\nAnswer: -1316*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/44 and 45\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2618.\nAnswer: 1\/1309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -22555*d - 1 - 4982*d + 6929*d + 3 - 2 + (3*d + d - 2*d)*(-5 + 1 + 2) + 2*d + 3*d - 3*d - 2*d - 3*d + 2*d as h*d + o and give h.\nAnswer: -20613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsttqbsttqtbqqq. What is prob of picking 3 q and 1 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/20 - 7*m**3\/6 + 7*m**2. Differentiate j(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 14179244.\nAnswer: 70896220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let s(l) = 48*l**2 + 42*l + 42. Let n(k) = k**2 + k + 1. Let x(p) = -84*n(p) + 2*s(p). Determine a(x(g)).\nAnswer: -432*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 3*o - 8. What is the units digit of n(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. What is the remainder when 10 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/5)*f)\/f**(-7))\/((f\/f**(-1\/2))\/f)**(18\/11) assuming f is positive.\nAnswer: f**(439\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/10 + (-3)\/15. Let y(c) = c - 6. Let u(j) = -5*j + 32. Let s(t) = 4*u(t) + 22*y(t). Give s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 53900?\nAnswer: 53900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671292633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -3\/2, -0.3, -3.2, -27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 10. Let g(b) = -5*b - 11. Let l(r) = -4*c(r) - 3*g(r). Let z be l(-9). Find q such that q + q - 6*q - 2*q**z + 0*q + 6 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -16 + 16 - 4*g + 6*g. Let u(y) = -15*y. What is r(u(p))?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722\/(-6669) - 780\/(-494)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412 * 3.\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -33. What is the third smallest value in 0.4, -2, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/30 - h**4\/4 + 4*h**3\/3 - 5*h**2. Let i be m(-6). Let d = 61 - i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(20\/(-15)) - (-14)\/(47320\/4966).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-294))\/(-2)*7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2645.9666 + 0.76118.\nAnswer: 2646.72778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2832 is divided by 941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -475087?\nAnswer: -90\/475087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, b: 1, f: 1, h: 1, r: 2, c: 2}. What is prob of sequence hf?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g - 8. Let o be r(8). Let j = o - -10. Calculate the smallest common multiple of j and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5739*x - 35*x = 93*x - 1004*x + 747495 for x.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 4, f: 7, w: 3, n: 1}. Give prob of picking 3 f and 1 w.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.014 + -0.186. What is the nearest to 2\/5 in 1\/3, y, -3.1, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:40 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 472*p**2 - 10*p + 21. What is the remainder when t(2) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*s**3 + 226*s**3 - 101*s**3.\nAnswer: 321*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29101, 29106, 29115, 29128, 29145, 29166?\nAnswer: 29191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30322 (base 14) to base 13\nAnswer: -4097a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18781296 - 0.0985473. Let y = j - -0.2864. What is y rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a7e970 + 4?\nAnswer: -a7e96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-6) - (-2)\/(-6). Find the common denominator of (154\/4 - 0) + 0 and (-59)\/(-6)*v\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + 0 - (-1053)\/243. Suppose 5*z = -3*v + 24, l*v - 6 = 3*z - z. Let g(d) = -d**2 - 2*d + 3. Let w be g(2). Put z, w, -3 in descending order.\nAnswer: z, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caabsbh. Give prob of sequence cas.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10845 * -93.\nAnswer: 1008585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 + 20000*i**2 + 11737162*i + 11717160 = 0.\nAnswer: -555, -1, 10556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*x + 8, -33*x - 3*q + 1 = -61*x + 30*x - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 1. Let f(d) = 5*d**2 - 10*d - 5. Let n(v) = f(v) + 6*u(v). What is n(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 plus 2468512556?\nAnswer: 2468512555.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2*n**3\/33 + 690*n**2\/11 + 3816. Factor h(z).\nAnswer: -2*z*(z - 690)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33348448 and 13356?\nAnswer: 300136032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*a*i**3 + 118*a*i**2 - 7*h**2*i**3 - 3*h**2 - i**2 wrt i?\nAnswer: 618*a - 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 239, 810, 1929, 3782?\n\"Answer: 31*z**3 - 5*z**2 + 7*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071\/(-5712)*(22\/(-9) + 2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t - 4*t. What are the prime factors of 12*1 + (-6)\/t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99*p - 99*p - 22*p**4 + (p - 2*p + 0*p)*(5*p**3 - 3*p**3 - 3*p**3) - 2*p**4 + 0*p + 0*p.\nAnswer: -23*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 663*o**2. Let l be 56932\/(-16)*(-28)\/1. Let n(r) = -r**2 + 99631 - l. Calculate n(f(i)).\nAnswer: -439569*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9726 and 177492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 300 = -8*u. Let j = -309 + 184. Let r = u - j. What is the greatest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c2 + 25?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2479*d - 390 = -2518*d. Calculate the remainder when 769 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*(-8)\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/(-8))\/(14\/336*12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485313218 to the power of 1\/2, to the nearest integer?\nAnswer: 22030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2393*j - 36144. Give r(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -434110 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 6*a + 3. Let v be y(-6). Let h(t) = v*t**2 - 3*t - 2*t**2 + 0*t. Let q(p) = p**2 - 5*p. Give 5*h(r) - 3*q(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 6*v - 6. Let w(j) = -6*j**2 - 5*j + 7. Let m = 34554 - 34559. Calculate m*d(u) - 4*w(u).\nAnswer: -u**2 - 10*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-10 + -15)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 98 = -3*i, -25*m + i = -24*m + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 72*g + 234.\nAnswer: -2*(g - 39)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:58 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002807 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 3*z - 5. Let x be q(5). Suppose 0*u + u - 5*j - 6 = 0, -x*u + j = -6. Let g(y) = y**3 - 1 + 4 + 3*y - u + 3*y**2. Determine g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1464, 11051, 36520, 85635, 166160, 285859, 452496, 673835?\n\"Answer: 1294*y**3 + 177*y**2 - 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*y = -68, 3*g - 40 = g - 4*y. Let b = g - 16. Is (b - (-13 + -1))*1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 4. Let c = 7 + 0. List the prime factors of x(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)*v*(v*v**(-3)*v)\/v assuming v is positive.\nAnswer: v**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 645, 683, 735, 801?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/2)\/(((b**12\/b)\/b)\/b*b)*(b**(-1\/2)*b)\/b**3 assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/(m*m\/m**(1\/2)*m)))*m)\/(m\/(m*m**(5\/4)*m*m)))**(-2\/73) assuming m is positive.\nAnswer: m**(-15\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*w + 2*n - 7*n, 0 = -2*w + 4*n + 28. What is the units digit of (2\/w)\/(1\/122)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-16))\/(-3) + (-1260)\/(-32). Suppose 38*l - w*l = -761. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5 - (308\/55)\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 36*h + 5*t - 95 = 25*h, -28 = -2*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-68)\/8*(-33)\/11).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 4*o - 3. Give l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, 5032, 22334, 57382, 116092, 204380, 328162, 493354?\nAnswer: 705872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b + 316 = 0. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5543010061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159733\/5 + 32078. Let g = h - 131. Factor -1\/5 + 0*p**3 + g*p**2 + 0*p - 1\/5*p**4.\nAnswer: -(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 8.2. Let g = -55.011 - -54.811. Which is the closest to p? (a) g (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(384)*5)\/(sqrt(2)*4*-1))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 47045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1194464 and 116?\nAnswer: 34639456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4 - 31*y + 7*y - 9. Is m(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 164 = 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*y**2 - 130*y**2 + 187*y**2 + 8*y**3 + (-1 + 3 - 3)*(-2 - 2*y**3 + 2) - 2*y**3 + 5*y**3 - y**3 to m*y**2 + x*y + z + w*y**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/82825674 and -51\/22?\nAnswer: 911082414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25935710 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4 = -4*z, -11 = -5*z - w - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321911 is divided by 408.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**6\/60 + f**5\/20 - 31*f. Factor z(h).\nAnswer: h**3*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -396, -2, 2, 5.\nAnswer: -396, -5, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510263 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgg when four letters picked without replacement from {p: 1, g: 4, o: 9}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04474 + -0.4?\nAnswer: -0.35526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 3, g: 2, q: 3, c: 6}. What is prob of picking 1 q and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/21*14\/12*((-52)\/20 + 3)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*t - 42, 7*y - 2*t = 11*y - 24. What is the fourth smallest value in -0.5, y, -0.2, -259, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621259.\nAnswer: 621259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 132\/88*(-42)\/9 - -77993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(49)\/(sqrt(35)\/sqrt(5)) + sqrt(7) + (3*sqrt(42))\/sqrt(6)))**2.\nAnswer: 4373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145586 by 80.\nAnswer: 72793\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (864\/(-378))\/((-36)\/42).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3642*p - 65530. Give f(18).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*v**3 + 3\/5 - 9\/5*v**2 - 2*v.\nAnswer: (v - 3)*(v + 1)*(4*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 2*k = 2*k - 63 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/20 and -97\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 117?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 39\/4*(-10)\/9. Let g = -43\/3 + n. Sort g, 4, 0.1 in descending order.\nAnswer: 4, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 5)\/(9\/6). Suppose -4 + 44 = l*h. Let c = 14 + -4. What is the highest common divisor of c and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -6) - (1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 1020*o - 605*o - 93.\nAnswer: -1625*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.9 - 8. Let w be ((-228)\/(-227))\/2 + (-86)\/172. Let j = -469\/6810 + w. Put r, 2, 1, j in decreasing order.\nAnswer: 2, 1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*s**6 - 6*s**4*w + 2*s**3*w - 2*s**2*w + s - 212*w wrt s.\nAnswer: -12240*s**3 - 144*s*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 12*w**2 + 12*w**2)*(-w + 2 - 2 + (-1 + 2 + 1)*(0 + 0 - 2*w) - 2*w + 4*w - w + w - w + w - 492*w + 241*w - 344*w).\nAnswer: -598*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 156 = -2*b. Suppose m + 4*u - b = 3*u, 4*m - 2*u - 180 = 0. Let q = -18 + m. Solve i = -4*i - q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1357*u - 6196. Give j(-5).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -9*d - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {q: 1, l: 9, w: 2, c: 2, e: 3, o: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q + 20. What is the first derivative of q*y**2 - 3 - 30*y**2 - 3 wrt y?\nAnswer: -34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.05\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbbootooototot. Give prob of sequence to.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85 - 6*h - 85 - 7*h - 6*h**2 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -49, -4\/7, 2\/3, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-32)\/6912*-4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 791*b**6\/10 - 5*b**4\/6 + 10*b**3\/3 - 2994*b. What is the third derivative of p(y) wrt y?\nAnswer: 56952*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1aa9 + 395?\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 515952 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1900)*2*2 - (-1*sqrt(1900) + 2)) + (3 + sqrt(1900) + -1 - 4*-3*sqrt(1900)))**2 + 3.\nAnswer: -360*sqrt(19) + 615604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 34. Let v be l(-10). Suppose -167 - 535 = -v*a - d, -a = d - 177. Calculate the remainder when a is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (2 + (-6 - -11))) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/26, -28, -36\/7?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679 = -2*r - 0*q + 61*q, 2*q = -5*r + 4 - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8060 = 5*q + 4*o, o + 1821 - 9866 = -5*q. What are the prime factors of q?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p. Suppose 107*q - 21797 = -200*q. Suppose 5*u - 49 - q = p. Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 - 13*f - 11. Let a be n(-5). Sort 4, -3, -5, a in decreasing order.\nAnswer: a, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 74*p. Calculate the lowest common multiple of 144 and v(72).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2958 = t, 4*z - 2*z - 5946 = -2*t. Let j be t\/8 + 0 + 0\/2. Let p be (-2)\/(-11) - j\/(-77). Solve 20 = 2*g + 4*v, -g + p*v = -4*g + 27 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 66, 106, 184, 312, 502?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5))**(10\/7)*z*z\/(z\/(z\/z**(2\/9)))*z**8 assuming z is positive.\nAnswer: z**(634\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.448 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3315 - -3343. Suppose 3*g + 26 = -0*h + 2*h, -2*h + 12 = 4*g. Calculate the least common multiple of h\/15 + 212\/6 and z.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 < 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 58, -2 in descending order.\nAnswer: 58, 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(2\/1))\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9057, 18123, 27197, 36285, 45393?\nAnswer: 54527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226865*v - 43303*v**2 + 226865*v to the form b*v + g*v**2 + n and give g.\nAnswer: -43303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 131, -2 in decreasing order.\nAnswer: 131, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -344620 take away 0.192?\nAnswer: -344620.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563304?\nAnswer: 2, 23, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 15. Let o = y + 9.1. Put -2, o, -5 in decreasing order.\nAnswer: o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -6562421?\nAnswer: 6562418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d + 3. Let t be s(-2). Let r be (1\/t)\/(7\/21). Let g(w) = -r*w + 10 + 0*w - 10. Let v(b) = -b. Give v(g(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1245, 1299, 1449, 1743, 2229, 2955, 3969?\nAnswer: 5319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*((-68)\/8 + 10). Calculate the remainder when 30 is divided by 3*((-17)\/(-3))\/p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -402. Let b be (g\/50)\/(16\/(-10) + 2). Solve -b*o = -7*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 13 + 5. Suppose 0 = -2*y + 5*x + 1, -2*x - 26 = -k*y - 2*y. Suppose 32 = y*n + 8. Solve -20 = -5*g + 5*w, -20 = g + 2*w + n*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86429917 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.1 (b) -4 (c) 2\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 - 1 - 4*k**3 + 2*k**3 + 6 - 4*k. Suppose -2*i + 5*i = t + 19, 4*t - i + 21 = 0. Give r(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/12 in -1, 112, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(3\/(-3)) - (14 - 10). Let o(k) = 4*k - 41. Let i be o(q). Solve -7 = i*m + 4*h - 8*h, 0 = -3*h + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:20 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 32 - 32 + 0*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0 + 7 - 15*m**2 + 4*m + 4. Let u be t(-5). Let i = 293 - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 8*o**2 - 3*o + 1. Is 7 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 - 78754890*h**2 + 516861215752419*h - 2067443602931628 = 0. Calculate h.\nAnswer: 4, 13125813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/30 + h**4\/12 + 3*h**3\/2 - 12*h**2 - 2*h - 28. What is m(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -1.353?\nAnswer: 1.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 305748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**4 + 3*k**2)*(-5*k + 7*k - 14*k) + k**5 + 2*k**2 - 381*k + 2*k**4 + 765*k - 385*k.\nAnswer: -35*k**5 + 2*k**4 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.4837 times 627\nAnswer: 2184.2799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*k + 4005 = -6095, -5*n + 5*k + 50380 = 0. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence segs when four letters picked without replacement from {s: 5, j: 10, e: 3, g: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = 5*w + 153 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10842 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(50) + -1 + -2)*-5 + -1)*-2)**2.\nAnswer: -2800*sqrt(2) + 5784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 187 + -654c?\nAnswer: -63b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 3997.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 209*t - 2633. Give h(195).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 29 (c) 4 (d) -4 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(84)\/(sqrt(6) - -1*sqrt(6)))\/sqrt(7))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-1568)*-7*-7)\/(-5*(-1)\/(-18))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/5 - (8 + -6). What is the nearest to -1\/4 in v, 9, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -652209.2 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r**2 + 0*r**2)*(1 - 6 + 11)*(572 - 572 - 24*r**2).\nAnswer: 432*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdb. What is prob of sequence bbd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -563 (base 11) to base 3\nAnswer: -220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108*o = -5830*o - 3939*o + 107254 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-156)\/7 - (-2 - 60\/(-35)). Let c = 43\/2 + q. Let x = 2 - 2.2. What is the nearest to c in 2, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 5*q**8\/1008 + q**7\/63 - q**6\/24 - q**5\/9 + 5*q**4\/18 + 3*q**2 + 24*q. Factor s(i).\nAnswer: 5*i*(i - 1)**2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*c = -54, 20*c - 19*c = 3*s + 50 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -3, -2, 3261, 4, -75 in ascending order.\nAnswer: -75, -7, -3, -2, 3, 4, 3261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5 - 3. Let w = 191 + -188. Let b(v) = -2*v + 38. Let p be b(17). Put p, c, w, -1 in increasing order.\nAnswer: c, -1, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 702. Suppose -3*q + 117 = 6*q. What is the highest common factor of f and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 2*j**2 - j + 1. Let s be l(2). Let k = s + 14. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + 6. Suppose 2*m = z*q - 13, -5*m = 5*q - 38 + 8. Solve b - 1 = m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**2 - 74*v - 14. Give z(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*u**4 + 12\/5*u**3 + 4\/5*u + 12\/5*u**2 + 0.\nAnswer: 4*u*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5307*n**2 - 28801 wrt n?\nAnswer: -10614*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.544 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(325) - sqrt(325) - sqrt(325)) + sqrt(325) + 5) + 1 + sqrt(325) + 0 + sqrt(325) + 4*(sqrt(325) - (2*sqrt(325) + sqrt(325))))**2.\nAnswer: -420*sqrt(13) + 1741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101020100 + -111011?\nAnswer: -101201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (-4 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7) + ((-1930008)\/2961)\/236?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m + 8. Determine c(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, 975, 1471, 1967, 2457, 2935, 3395?\nAnswer: 3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16004611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.3007 centuries to decades.\nAnswer: 933.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1032 divided by 202986\nAnswer: -172\/33831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 2756528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 10) to base 3\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44736 and 1199834432?\nAnswer: 14912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (111 - 41 + 78 + 71 - 33)*(-4 + 4 - w - w - 22*w + 8*w + (1 + w - 1)*(0 + 0 - 2) + w + 7*w - 4*w) as c + l*w and give l.\nAnswer: -2604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o + 32*o + 384 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 26 - 2300*m + 49.\nAnswer: -2300*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*z - 411*z + 9 + 1247*z - 412*z.\nAnswer: 12*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 2130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233171 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139409415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(44))\/sqrt(4).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11922*r**4*v**2 - 1442*r**4*v - 59780431*v**2 wrt r?\nAnswer: -47688*r**3*v**2 - 5768*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/155)\/((-44)\/220).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.8 (b) 0 (c) 3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwcffccccggfccpcc. Give prob of sequence fff.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -406, -1002, -1866, -3016?\nAnswer: -4470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*s - 880 = -881, x + s = -2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = 4*c, 3*t + c = 31. Let f(n) = -n**3 - 4*n**2 + 7*n + 4. Calculate the remainder when f(-6) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-2)\/(-6))\/((-17)\/(-90525))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1204*q + 1223*q - 2)*(-3 + 11*q + 3)*(3 - 2 - 3).\nAnswer: -418*q**2 + 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23406388.39 rounded to the nearest one thousand?\nAnswer: -23406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036 + 2 + 0\/2 - 3?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 91, -9, -0.4, -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-4)\/(-40)*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 < -7882\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1027?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 + 1379*q - 1377*q + 3)*(-3*q - q + 3*q).\nAnswer: -5*q**3 - 2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3198\/(-2665)*(10\/3)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*c - 6*v - 33, 0 = -4*c - 2*v + 68. Suppose -c = -h - 3*t - t, -3*t = 4*h - 34. Calculate the remainder when 19 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/90*(-9)\/(-6). Factor 2\/5*o**5 - 6\/5*o**4 + 0*o + 6\/5*o**3 - t*o**2 + 0.\nAnswer: 2*o**2*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i + 4. Let u(l) = 285*l + 105. Let v(f) = -105*k(f) + 4*u(f). Let j(x) = -2*x. Calculate v(j(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65456742 by -1.\nAnswer: -65456742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4251613 = 116*n + 2281314 - 3225921. Calculate the highest common factor of n and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74809.5 weeks in milliseconds?\nAnswer: 45244785600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 11*t - 58. Calculate p(16).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 142, 12, -1\/4, -5?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*m = 96. Suppose v - m = -3*v. Solve v*i = 3*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/15*(-98)\/(-12)*860\/301. Let b = -6 - -60. Let x = k - b. Solve 3*s - 3 = x*l + 2, 5*s + 9 = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10 - y + 3 - 8. What is the smallest common multiple of n(-6) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 2185?\nAnswer: -2185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/5 - j**4\/4 + 2*j. What is the third derivative of w(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 53?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*g**3 - 30*g + 30*g - 11.\nAnswer: 3*g**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*m - 28, 3*j = -2*m - 926 + 922 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1*(-1 + 0). Let y = -12878 + 283377\/22. What is the common denominator of 37\/3 + o\/2 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 366561 and 488748?\nAnswer: 1466244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 18, -4, 6 in increasing order.\nAnswer: -4, -3, 0, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2\/(-21))\/1)\/(20\/30). Which is the second biggest value? (a) -0.3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-2)*(-125)\/250\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 l, and 1 i when four letters picked without replacement from loollqqllllqllnilq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = -7318 + 6976 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 1a?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 4*k**2 + 2*k - 1. Let s = 1 - -3. Let z be l(s). Let w be (-4)\/(-30)*(z - 12). Which is the closest to w? (a) -3 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 0*r)*(-888*r**2 + 440*r**2 - 223*r + 447*r**2)*(3 - 1 + 0).\nAnswer: -4*r**3 - 892*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 50. Let x(z) = -3*z**3 + 155 + 3*z + o*z**3 - 158. Let k(t) = 6*t**3 + 5*t - 5. Determine -3*k(r) + 5*x(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let f be -4 - -5 - (c - -1). Solve -f = -h - 0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7643 a factor of 701118791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5)*l*l*l\/l**(-3))\/(l**0)**(-2\/11))\/(l*(l\/(l*l**5*l))\/l*l\/(l**5\/l)*l\/l**(-2\/7)*l*l*l\/l**(-2\/15)*l) assuming l is positive.\nAnswer: l**(1027\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8614 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31565 + 53949 = -2798*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32539236 divided by -6121\nAnswer: -5316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let y(s) = -137601193*s**2. What is y(n(w))?\nAnswer: -137601193*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 342585 divided by 345\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - -0.09. Let x = t - 0.03. Let v = x + -3.99. Is -1\/3 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 21) + (-1 - 0 - (-204)\/(-42)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158576 or -2125?\nAnswer: -158576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = 2*a. Suppose 7 = 3*w + 4*v - 8, 20 = 4*w + v. What is the remainder when a is divided by 3*4\/(w + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/349, 1, 1\/2, 2\/13, 0 in ascending order.\nAnswer: 0, 2\/349, 2\/13, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -327 - 108 - 5*r - 3*r + 4*r + 3*r in the form q + s*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1102.42 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0346 + -42.1654. Let w = -51.29 + -0.71. Let t = w - a. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.2 (b) 0.033 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - -5) - (-13 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -14622.43 and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 3, g: 12}. Give prob of picking 2 t.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 403 * -0.35\nAnswer: -141.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -18 + -2 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78736909?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40 - (0 - (2 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = -9. Let j be v*(-2*1 + 21). What are the prime factors of j\/(-6) + (-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 - 5211*b**3 - 5208*b**2 = 0. Calculate b.\nAnswer: -1736, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-15 - -4)) + (1 - (3 - 10))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*278768628.\nAnswer: -27876862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25032*y**3 + 25150*y**3 - 50180*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8381 - -11275. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5192.43113+-100.9\nAnswer: -5293.33113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -26*u - 18. Let r be l(-1). Let f(j) = 3*j**2 - 24*j + 5. Let x be f(r). Put x, -5, -1, -3 in descending order.\nAnswer: x, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 24*f = -4*f - 9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from xyggfyfgaffgffx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 13\/1452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from ywyyyyyyw?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*48\/32736*2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867, -764, -593, -354, -47?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:05 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -14*i + 60. Let s(t) = -2*t**3 - 18*t**2 + 32*t + 36. Let p(x) = x**3 + 20*x**2 - 34*x - 35. Let k(h) = i*p(h) - 5*s(h). Factor k(o).\nAnswer: 2*(o - 2)*(o + 2)*(3*o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((11\/((-198)\/60))\/2)\/(405\/9720)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -5 + 0 + sqrt(1331))**2.\nAnswer: -220*sqrt(11) + 5349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 3*b = 48053. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 120474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3)*(-19)\/((-570)\/18). Let x = -31\/10 + z. What is the closest to 0.3 in -0.02, x, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 20. Suppose 0 = -5*j + 5*p - 5, -4*p + 32 = t*j - 0*j. Let s = 1.05 - 1.05. What is the closest to 1 in s, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17.19. Let m = 0.21 + a. What is the fourth biggest value in -5, -4, -1\/4, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2 - 3*n**2 - 44 + 64 - 32 - 8*n = 0?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 i when three letters picked without replacement from nmnnnninnmnnnmnnn.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**4 + g**3 + g. Let w(c) = 2*c**5 - 5*c**4 - 57*c**3 - 211*c**2 + 5*c. Let l(m) = 5*b(m) - w(m). What is the third derivative of l(h) wrt h?\nAnswer: -120*h**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 - 114.16. Let y = c - -1.07. Which is greater: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17850 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -9*r**5\/5 - 25*r**2\/2 + 8. What is the second derivative of g(w) wrt w?\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33, 0.3, 4\/21, -2\/5, 5, -33?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 3. Let w be j(0). Let q(l) be the third derivative of -2*l**2 + 0*l + 0*l**3 + 0 - 1\/60*l**5 - 1\/12*l**4. Calculate q(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 654 = 11*y. Let i = 46 + y. What are the prime factors of i?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 15. Let r(x) be the first derivative of 0*x**2 + 1\/4*x**4 - d + x + 0*x**3. Differentiate r(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 6*b + 6. Calculate the lowest common multiple of h(5) and ((-132)\/18)\/(4\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7011.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34793263, -34793279, -34793305, -34793341?\nAnswer: -34793387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, y: 5}. What is prob of sequence ye?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 times 81.5?\nAnswer: 66830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 3*n, -9*n = 2*f - 14*n - 2. Let u(q) = 10*q - 2. Let k be u(f). Suppose 3*d - 5*d + k = 0. Solve 0*m + m - d = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -4)*-543 + (-2 - 1). Suppose 93*j - 97*j + y = 0. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 867 - 872. Let p be 1\/s - ((-320)\/(-25) + 0). Let b(f) = -f**3 - 13*f**2 - f - 16. Give b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -66, -86, -88, -66, -14, 74, 204?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + w = -0 + 27, 14 = 2*c + 2*w. Suppose s - c = -1, 3*u - s - 119 = 0. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 288\/(-510) - 140\/(-175). Put 9, -2\/27, s in descending order.\nAnswer: 9, s, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.5, 2.39, 2\/9, 35\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3988268169?\nAnswer: 3, 19, 69969617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88650*f + 88756*f + 10706 for f.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 4*h**2 - 3*h - 2. Let l be u(3). Let q = -1 + l. Let j be (q - -2)\/((-2)\/4). Is j less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 117*f - 2030. Calculate u(17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 2*q**3 + 4*q**3 + (q**2 + 4*q**2 - 3*q**2)*(-3*q + 4*q + 2*q))*(39474*q - 39474*q - 308*q**2).\nAnswer: -2464*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -329578?\nAnswer: 329585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128190096 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212115015.\nAnswer: 3, 5, 7, 673381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2105 and -5956226191?\nAnswer: 5956224086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266025.\nAnswer: 3, 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 29650 to the nearest one hundred.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97912*t*v - 79230*t - 1750*v**2 - 936 wrt v?\nAnswer: -97912*t - 3500*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*w + w. Let u = w + -15. Suppose 4*c - 4 = -4*p, -c - 6 - 5 = 5*p. Solve f + 3 - c = u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 1:17 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 47. Let s(u) = 8*u - 18. Let g be s(6). Let p = i + g. What is the remainder when 30 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111444243 (base 5) in base 12?\nAnswer: 1585a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/4 of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rii when three letters picked without replacement from aaraiaiaaii?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p - 3. Let s(o) = -o - 1. What is 4*s(j) - w(j)?\nAnswer: -12*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116650 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b7 + d27b?\nAnswer: d354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*v - 67, 4*g - 2*v - 86 = -0*v. Suppose -3*a + g + 78 = -5*p, -2*a - 3*p = -52. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 2*w - 4. Suppose -2*o = 2*o - 6*o. Let z be d(o). Let i = -2 + -1. Put z, 16, i in increasing order.\nAnswer: z, i, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 98875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85224 and 40174.\nAnswer: 32299896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2190*n**5 - 3*n**2 - 1018*n + 4. Let r(x) = 4381*x**5 - 5*x**2 - 2036*x + 7. Let h(z) = 7*g(z) - 4*r(z). Find the third derivative of h(q) wrt q.\nAnswer: -131640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zssl when four letters picked without replacement from syyslzx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 31*r - 157. Determine x(3).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015504 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 * 0.1.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-3) + 2\/((-12)\/2958). Let l be ((-1449)\/n + -3)*2\/(-3). Are 0 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403448033?\nAnswer: 19, 1831, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4, -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = 4*c + 2*b, -5*b = -4*c + 25. Let f = c + 1. Suppose 0 = -2*z + u + 3, -2*u - 158 = -160. Solve -f = k + z*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -421 - 0?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12468, -12467, -12466?\nAnswer: -12465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222783656 plus 0.12?\nAnswer: 222783656.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 22834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let n(r) = -41*r - 36*r + 117*r - 838*r**2 - 40*r. Give n(f(x)).\nAnswer: -3352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooll when four letters picked without replacement from {l: 3, o: 7, m: 2}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*l + 231, q + 4*l = -l + 97. Let b = q - -367. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:06 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.386 + 16.776. Let z = -8.52 - n. Let a = z + 25. Round a to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 975330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 52*s - 4. Let g(n) = -41*n + 3. Let f(x) = -4*g(x) - 3*j(x). Let o(y) = 40*y**2. What is o(f(b))?\nAnswer: 2560*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 12 - 30. Let o(k) = 3*k - 6 - 5*k - 2*k. What is the units digit of o(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.06, -3\/5, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - c + c + 9*c**3. What are the prime factors of l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -1859*a**5\/60 - 139*a**2 - 3*a. Let l(j) = -j**2. Determine l(w(c)).\nAnswer: -3455881*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/4)\/((-2)\/(-19160)). Let v(y) = -26*y - 134. Let h be v(-6). Suppose -17*m - b = -h*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*s - 4*t, -4*s - 3*t + 8 = -2*s. Suppose -467 + 23 = -12*v. Calculate the remainder when v is divided by ((-13)\/2 + 0)*s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/7 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 2*j**4\/3 - 22*j**3\/3 + 74*j**2 - 16*j. Let z(w) = 7*w**2 - 45*w + 147. Let p(q) = -3*s(q) + 4*z(q). Factor p(x).\nAnswer: 4*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 8:41 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/9313251?\nAnswer: 2\/9313251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -181, -0.5, 3, -4, 9\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289993801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**3 + 0*k**3 - k**3 - 2*k - k**3 + 2*k + (6 - 1 - 1)*(-3*k**3 + 32 - 32))*(2*k + 4 - 4) as h + q*k + o*k**2 + r*k**4 + y*k**3 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 200 + 68 = x, 5*q - x = 272. Sort -4, 0.3, -1\/3, q in descending order.\nAnswer: q, 0.3, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, -1\/5, -0.3, -6327 in ascending order.\nAnswer: -6327, -4, -0.3, -1\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 9) in base 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 3*s**2 - 3*s - 2. Let z = 9 + -5. Let p be w(z). Find the third derivative of -2*y**6 - 3*y**6 - p*y**6 - 5*y**2 + 2*y**2 wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/12 + 116\/174. What is the nearest to -5 in 3, -1.2, f?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -113, 52 in increasing order.\nAnswer: -113, -19, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7430 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 1. Let g be n(1). Suppose -4*h + 125 = -g*v, 0*v + 69 = 2*h + 5*v. Suppose 4*f - 9 = 11. Solve 3*l = 5*i + 35, -f*i + 4*l = -2*i + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -126. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -39.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(418))\/(sqrt(22)\/sqrt(72)))\/(-4*(sqrt(32)*-3)\/sqrt(4)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-21) + 1)\/(4\/18). Suppose -x*b + 8*b = 18. Calculate the remainder when 12 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 4. Suppose m = 2*m. Suppose -2*a + m = -2, z = a - 4. Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607.3 - -579. Let b = k + 27.914. Round b to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412506 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 3*g + 3. Let z(i) = -i**2 + 2*i - 2. Let v(k) = 2*x(k) + 3*z(k). Let d(m) = -3*m**2 + 1. Give v(d(s)).\nAnswer: 9*s**4 - 6*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, g: 6}. What is prob of sequence gii?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13986, 55936, 125772, 223494, 349102, 502596, 683976?\n\"Answer: 13943*s**2 + 121*s - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -741306861*a**4 + 659559727?\nAnswer: -2965227444*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let x be (-437)\/(-69) + (-2)\/6. Let h(s) be the second derivative of 0 + 0*s**2 - x*s + 1\/3*s**3. Calculate t(h(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1.05.\nAnswer: 0.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.56378 - 0.4.\nAnswer: -0.96378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 7*h - 9. Let i be k(3). Suppose 3*l - i*x = -6*x + 297, 4*l - 378 = 2*x. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:18 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(2))\/sqrt(8) - -1*sqrt(5)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130421 (base 5) in base 14?\nAnswer: 1c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1202.3487 months?\nAnswer: 10.0195725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -574 - -614. What is the remainder when 315 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 44. Let c = v + 13. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30934, 18 in ascending order.\nAnswer: 2, 18, 30934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4324)\/(-16) + 6 + 1\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-64 - (-21 + -55))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*z + 96*z - 90*z + 6232 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3049467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from {g: 1, y: 6, c: 8, p: 1, j: 2}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7784.5 + 7784. Sort -5, d, -1\/10, 4, 8\/5.\nAnswer: -5, d, -1\/10, 8\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ozkpkddl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 94800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13632423 - -13?\nAnswer: -13632410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (7 - 2)) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbjbbfjjpjfbbb. Give prob of sequence jbjf.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 452?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 96 = 4*f. Suppose -5*p - p = -f. Solve p*m = -1 + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -5*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1544 and 13415623.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*c**2*v**4 + 2*c**2*v**2 + 983*c*v - 6*v**4 wrt v.\nAnswer: 1584*c**2*v - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = 1. Suppose -t = -2*k - 0. Let l = -2\/699 + 707\/2796. Which is the third smallest value? (a) k (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 931 by -42203.\nAnswer: -133\/6029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*q - 48*q + 9*q**2 - 20*q**2 - 25*q**2 + 2*q**3 + 2*q**2 to the form f*q**3 + g + z*q + n*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -817 (base 9) to base 7.\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21737*r**3 - 21754*r**3 + 43520*r**3.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 - f + 0*f - 14*f**3 + 5*f**3 to b*f + m*f**3 + j*f**2 + p*f**4 + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 7) to base 9\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 3*l - 2. Let u be d(-3). Let n = 2 + -4. Is 7 a factor of 7 - (-1 + u\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -444.99 + 441. Let x = o + -0.01. Let y = -0.09 - 4.91. Which is the second biggest value? (a) y (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -1\/9, 2, 1.6, 0.63 in descending order.\nAnswer: 2, 1.6, 0.63, -1\/9, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*g + 5*g = 2661, -g - 1334 = -w. Suppose 0 = 4*u + b - 129, 4*b - 51 = -256*u + 255*u. What is the highest common factor of w and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13578849 - -0.02.\nAnswer: -13578848.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 + f**4 - 2*f**4 + (f - 3*f + f)*(-4*f**3 + f**3 + 0*f**3) + 0*f**4 + f**4 - 2*f**4 + (-3*f**2 - 2*f**3 + 3*f**2)*(-1 + 1 + f).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 + 0*p**5 - 1\/6*p**6 + 4*p + 0*p**2 + 5\/12*p**4 + 0*p**3. What is the third derivative of t(d) wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -15*j - 7. Let d(x) = 7*x + 3. Let w(l) = l**3 + 12*l**2 + 6. Let o be w(-12). Let t(a) = o*g(a) + 13*d(a). What is t(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m**3 - m**2 + 4*m + 4. Let k be g(-1). Suppose 44*w - 42*w = k. What is the third derivative of w*b**2 + 106*b - 106*b - 16*b**4 wrt b?\nAnswer: -384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2330241 (base 8) to base 2.\nAnswer: -10011011000010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**3 + 3*u - 1. Let m(z) = -7*z**3 - 2*z. What is 3*m(v) + 2*n(v)?\nAnswer: -7*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -24 - (0 + 5 + -11 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q - 3*q. What is the nearest to 1 in q, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(2\/27)*h*h*h*h*h*h**(3\/7) assuming h is positive.\nAnswer: h**(1418\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*r + 591*r - 30 = 0. Suppose 4*x = -5*u + 115, -27 = -r*x - 2. Calculate the greatest common factor of u and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1.5. Let n be (-3)\/4*(2 + 2). Let h be 1\/n - (25\/15 - 1). What is the nearest to h in 0.3, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n**3 + 0*n**4 - 20*n + 0*n**2 - 29 + 36\/5*n**5. Find the first derivative of t(u) wrt u.\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119970866 to the power of 1\/3, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -2928, 1, -1 in decreasing order.\nAnswer: 1, -1, -192, -2928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 250?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 68746.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 10) + 3 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b**3 - b**2 - b. Let y be h(-1). Let x be (-206)\/y*-2*6. Let r = x - 75. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23902628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 77. Let v = -372 + 298. Is i at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/4, -0.5, -6, 0.05 in increasing order.\nAnswer: -6, -0.5, 0.05, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223231 and 168093.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*f - 30. Let b be 292\/f - (-2)\/(-9). Suppose -4*m - b = -2*q, 3*m - 45 = -4*q - 2*m. What is the lowest common multiple of q and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64 + 1 + 1)\/(-2). Suppose -x + 40 = 3*d, x + 75 - b = 3*d. Let o(y) = -4 + d*y - 8*y - 2*y - 5*y. Determine o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-3) - (-6)\/18. Suppose 2*c = 5*c - f. Suppose -c*b - 3*p + 2 + 9 = 0, 2*b - 5 = -p. Solve -2*n - 4 = b*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 9:43 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - 2*b**2 + 0*b**2 - 4 + 4 - 6*b**2 + 1 - 1 + 5*b**2 + (2*b + 5 - 5)*(-3 + 3 + 2*b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 48*d + 9*d. Let a(v) = 5*v - 10*v + v + 3*v. Determine g(a(z)).\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 w, and 1 m when three letters picked without replacement from {a: 1, v: 1, m: 1, p: 2, w: 1, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**23\/c*c**(-5))**(-13))**(-1\/2))**(-7\/4) assuming c is positive.\nAnswer: c**(-1547\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6556 - 57199 = -51*p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(2*k + 2*k - 5*k) + (3 - 6 + 2)*(k - 3 + 3).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326551874 to the nearest integer?\nAnswer: 18071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + -3 + sqrt(176))**2 + (3 + 0 + sqrt(396))**2 + 0)*-1.\nAnswer: -3510 - 312*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*112\/196*18\/12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -4. Solve 0*z = 3*z + n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*y**3 - y + 117*y**3 + y + 182*y**3 + 189*y**3 + 193*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23*m + 17 + 15 - 55 + 23. Let x(l) = -5*l**2. Let v(q) = -q**2. Let i(f) = -11*v(f) + 2*x(f). Calculate i(w(b)).\nAnswer: 529*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*n + 1220 = -1168 - 468 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-14.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (645\/275)\/((-4)\/(-870)). Let g = 510 - s. Calculate the common denominator of -85\/14 and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:02 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -2, -1\/16, 327, -0.5, 0.1275?\nAnswer: 0.1275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 150.8.\nAnswer: -452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 - 400. Let k be (892\/6)\/((-2)\/3). Let y = m - k. Calculate the remainder when y is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5252*l + 5257*l - 185 = -5*m, 2*l + 11*m = 29 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.802 * 34.\nAnswer: 61.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/39024 and -41\/10298.\nAnswer: 741456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(-4 + (sqrt(180) - 3*(0 + sqrt(180)) - (1*(sqrt(180) + 1))**2)) + 1.\nAnswer: 72*sqrt(5) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/12*-6)\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**5 + 17930*a**4 - 541875*a**3 + 1898300*a**2 - 362380*a - 2820480 = 0?\nAnswer: -3616, -1, 2, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*i + 2. Let b be (-6)\/(-10) + i\/5. Let m be 1\/4 + 0 + 21\/12. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.8 + 16. Let j = 1.3 - s. Suppose 2*t + 2*t + 4*m = 0, m = 4. What is the closest to j in 2\/7, t, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 1:41 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**4 + 33*g**3 - 39*g**2 + 15*g. Let l(p) = -13*p**4 + 66*p**3 - 79*p**2 + 30*p + 1. Let s(j) = 5*h(j) - 2*l(j). Factor s(o).\nAnswer: -(o - 2)*(o - 1)*(3*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 3. Let w = -57 + 58. Let j be -2*3 + (6 + -2 - w). What is the nearest to r in 1, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/42 + 3*(-8)\/56?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:41 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -5*q - 23. Let y = q + -18. Let j = -14 + y. Solve l = -5*n - 0*n + 4, 4*l - 2*n + 6 = j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-1)\/2. Let u(m) = 1 + y - 2*m + m + 1. Let r(o) = 2*o - 4. Give 2*r(k) + 3*u(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*h + 107*h + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a8 - 63b?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + x)*(x**2 + 0 + 0) + x**3 - 3*x**3 + 0*x**3 + (-2*x - 4*x + 4*x)*(-2*x**2 - 3*x**2 + 7*x**2).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 458 - 454. Solve 8*x = g*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(20 - (-1334)\/(-69))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + r - 6. Let t(a) = -3*a**2 - a + 7. Determine -7*j(b) - 6*t(b).\nAnswer: 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.7 - -10. Let q be (-1 + 3)\/4 - 0. Sort q, h, 0 in decreasing order.\nAnswer: q, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*f + 4*z - 18 = 0, -6 = 5*f + 2*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 40 = -v. Calculate the remainder when -10*208\/(-120)*504\/112 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 + (4 - 3) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (70\/(-15) - (-7)\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 3 + 93)*(-3*w - w - 6*w).\nAnswer: -700*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/5 - 6\/(-15). Suppose 14*t = a*t. Let b be (-2)\/(-14*1\/(-2)). Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.577 - -0.54. Let r = -3 + 3.002. Let b = r - l. Round b to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -54. Let w be 1\/(-4 + 3) - -6. Suppose r = 3*c + o*c - 295, 5*c - 295 = w*r. Calculate the remainder when c is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19130, -19143, -19164, -19193, -19230, -19275, -19328?\n\"Answer: -4*i**2 - i - 19125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:41 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 8:52 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**7\/210 - 7*c**6\/120 - c**5\/12 + 25*c**4\/8 - 90*c**2. Let z(g) = 0. What is g?\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 14*b**2 - 16*b + 44. Let r be m(13). Solve -r*f - 3 = 3*p - f, 0 = -5*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24900 and 45.\nAnswer: 74700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7308 + -17934?\nAnswer: -10626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -110, -14, -1, 4.\nAnswer: -110, -14, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 2, m: 1, h: 6, v: 4}. What is prob of sequence vhf?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083?\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/432203 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6*c + q - 7 = 0, -2*c = -q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-72))\/(4\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*6\/8)\/(-3). Let n = -19 - -18.9. Let o = n - -3.1. Which is the second biggest value? (a) 1\/5 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + (sqrt(98) - (sqrt(98)*-2 - sqrt(98))))**2.\nAnswer: 280*sqrt(2) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*x**4 - 4*x**3 - 39*x**2 - 3406 wrt x.\nAnswer: 36*x**3 - 12*x**2 - 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(117) + sqrt(13) + (3*sqrt(65))\/sqrt(5) + sqrt(13).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 505968.\nAnswer: 5\/505968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 7*r - 13*r to the form m + k*r and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 0*g + 12*g. Let q(h) = -h. Suppose 0 = 93*o - 129*o + 72. Determine o*q(t) + b(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 4*f + 1. Let a be y(5). Let g(x) = -5 - 11 + 16 + 2*x**2 - 4*x. List the prime factors of g(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(27\/2))\/(1\/3). Let u be 4 - (-1 + -2 + (f - -2)). Let i be (u + -5)*1 + 4. Solve i*t + 15 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5054 by 2527.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let q(o) = -31*o**2 + 3*o - 3. Let p(k) = -867*k**2 + 85*k - 85. Let x(t) = 3*p(t) - 85*q(t). What is x(i(g))?\nAnswer: 34*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(2592) - (sqrt(2592) - (sqrt(2592) - -1*(sqrt(2592) + -1))))*4 + -3)**2.\nAnswer: -11944818 + 145152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:00 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5605629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67\/5 of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/(-14) - -1*(-3)\/(-6). Let u be a\/6 + 7\/(126\/150). Calculate the greatest common divisor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (6 + -5)) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2765 or -2764?\nAnswer: -2764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 29. Let w(o) = o**2 + 3*o - 4. Let x be w(t). List the prime factors of (2\/5)\/(x\/330).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 1. Let c = 23 - 14. Let b(v) = v**3 - 9*v**2 + v - 4. Let r be b(c). Let h(n) = -4*n + 1. What is r*h(k) + 6*q(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(3\/(-10)). Let r = 9 - l. What is the smallest common multiple of r and -2 - -4 - 4\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108755164?\nAnswer: 2, 7, 19, 204427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 3. Calculate the remainder when 31 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -542000 to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(76) + (sqrt(76) - sqrt(76)*-1*6 - sqrt(76))))\/(sqrt(64)*3 + (sqrt(4) - sqrt(576)*-2)).\nAnswer: -35*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27418 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkkk. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 17. Suppose -x*v - 7*v + 372 = 0. Calculate the remainder when 151 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:54 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 14*b**2 + 120*b = 0.\nAnswer: -60\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14716 + 3?\nAnswer: -14713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a - 8. Let v be o(8). Let 4 - 9*m**2 - 6*m + v - 4*m**3 - 5 = 0. Calculate m.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35991 and -390 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 - 51.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/252)\/((-9)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/3)\/(4\/(-42)). Let w be 1*-2 + (-3 - h). What are the prime factors of w - (0 + -1 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 47 = f + 50, -6*y + 5*f + 13 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -4. Let h be -3*(-1 + 14\/x). Let d(r) = r**2 + 3*r + 4. Determine d(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (15 + -4)) + (-2 + 7 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(245) + sqrt(245)*3 + sqrt(245) + sqrt(245)) + sqrt(245))**2 - sqrt(245)) + 3)*6 + 5.\nAnswer: -42*sqrt(5) + 918773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -43, -66, -109, -178?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggf when three letters picked without replacement from {g: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/23448 and 4\/79137?\nAnswer: 633096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/15 - 14\/35. Solve -f*v - 6 = -4*d, -2*v = -5*v + 2*d + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/5*(105\/(-140)*20)\/(1*-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 275, 515, 937, 1541, 2327, 3295, 4445?\n\"Answer: 91*y**2 - 33*y + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 745094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {m: 7, n: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukabkvx. What is prob of picking 1 b and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 1835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c**(1\/30)\/c))\/c)\/c**(-6)*(c**(-4)\/c)**23 assuming c is positive.\nAnswer: c**(-3211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9\/2 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 10*c**2 - 60*c - 58. What is p(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83142111 divided by 1.\nAnswer: 83142111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458205 = -31*d + 4915064 + 1157954. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**2 + 0 + 0*u**4 + 1\/27*u**3 - 1\/270*u**5 + 0*u. Solve c(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -3)\/(12\/(-4)). Suppose s = -o + 64, h*s - 3*o - 222 = -3*s. What is the remainder when s is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 10*b**2 - 2*b. Let o be -3 + (-1 - -3) + 11. Let x be a(o). Let u = x - -55. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 35. Let n = 0.77 - 0.67. Which is the nearest to n? (a) 1\/3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-24) + 5)\/(-8 + 142\/24)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -184, 189, 802, 1649, 2724, 4021, 5534, 7257?\n\"Answer: -b**3 + 126*b**2 + 2*b - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 + 2*g - 2. Let u(w) = 5*w**2 - w. Let o be u(-1). Does 10 divide a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 12. Suppose 36 = 5*p - 4*l, 4*l = 2*p - 56 + 32. Give z(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1300 + 1346. Put -5, -1, j in ascending order.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 9*p + 1. Let z be l(-4). Suppose z*x + 4*y + 1 = 0, 2*x - 3*y = -2*x + 24. Suppose -3*i**x + 6*i**3 - 4*i**3 - i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3858*b - 3838*b = -7557*b + 14178 for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 - 3369*k**2 - 1584?\nAnswer: 8*k**3 - 6738*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120590, 241160, 361706, 482222, 602702, 723140, 843530?\nAnswer: 963866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 divided by 141?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5261 divided by 1733?\nAnswer: 5261\/1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w - 19 - 77*w**2 + 42*w**2 + 37*w**2. Is b(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.08, 1\/3, -4.2, 6, 3\/4 in descending order.\nAnswer: 6, 3\/4, 1\/3, -0.08, -4.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/8 - 8*h**3\/3 + h**2. Suppose -5*s = -5*y + 2*y + 47, -4*y + 23 = -s. Let b be k(s). Solve 5*l = 20 - b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u - 10 = 0. Let q(i) = i**3 - 49*i**2 - 102*i - 3. Let k be q(51). Sort u, k, 1, 3 in decreasing order.\nAnswer: u, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 2*r - 194.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmvy when four letters picked without replacement from vmmy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(152) - -3*sqrt(152)))\/(1*(sqrt(8) - (sqrt(8) + sqrt(72)\/sqrt(9)))).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6220)\/4*(24\/(-10) + 2) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0238 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*l + 37 = 8*m, 45 = 5*m + 5*l. Let y be (-6)\/m + 3\/4. Let o(g) = g**2 + g - 4. Let u be o(2). Solve y = -3*x + 12, u*x + 18 = -3*i + 5*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltttttlttttlttlttt. What is prob of sequence ll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(0 - 28\/(-189))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -1356, -3355, -5966, -8985, -12208, -15431, -18450?\nAnswer: -21061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*d + 3)*(-1 - 1 + 4) + 800 + 37*d - 800 + (-d + 2*d - 2*d)*(-7 + 6 + 19).\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h - 4*h = 19*h - 35*h - 2244 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -1006 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -3, 821, 0, -0.1, 0.01.\nAnswer: -3, -0.1, 0, 0.01, 3\/4, 821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*m - 6*m - 4*g, 4*g - 20 = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/35 (b) 0 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmiimmjjmvjjjmjj. Give prob of sequence imij.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 51. Let c(s) = -2*s - 51. Give -2*c(x) + 3*d(x).\nAnswer: -2*x - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*g + 457 = 0, -6*z + z = -g - 769. Suppose -z*l + 151*l + 111 = 0. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 387679388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 6 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 9*m**2 + 10*m + 4. Let a = 44 + -37. Let u be b(a). Calculate the greatest common divisor of 29 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0 (c) -1\/5 (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42962 times -0.5?\nAnswer: -21481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -106, -253, -458?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = -3*l + 11*b - 18, 3*l = 5*b + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -73 (b) 0.1 (c) 0.5 (d) -4 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from dddddpddddddddddddd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/15532132 and 83\/4431?\nAnswer: 46596396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 19*p + 37. Let y be -5 - 7 - -16 - (-6)\/(-1). Give z(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = 54 - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -4. Let v be 1\/(-1 + (a - -3)). Suppose -3 - v = 2*q. Do q and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*w + 152, g - 35 - 2 = 3*w. What is the common denominator of -3 + 186\/g + -2 + 1 and 29\/80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4666615 is divided by 487.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 4}. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2. Let i = -119 - -119. Let p(w) be the first derivative of 0*w**2 + 1 + i*w - 1\/3*w**3. Give h(p(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 28. Suppose a = -5*j + 4*j + 3. What is the second derivative of j*d**2 + 15*d + 22*d**2 - 4*d**2 + 9*d wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 178, 376, 562, 736, 898, 1048?\n\"Answer: -6*p**2 + 216*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210 + -72. Suppose s + f = 338. What is the greatest common factor of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 82*r**2 + 26543*r - 31. Calculate n(-127).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 21, -0.03, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18408 to the nearest one hundred.\nAnswer: 18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -60. Let l(y) = -13*y + r - 3*y - 15*y. Let v(i) = -156*i + 96. Let f(q) = 11*l(q) - 2*v(q). Differentiate f(p) with respect to p.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + d)*(-39*d + 21*d + 19*d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + 2.9. Let z = t + 3.6. Let s = -2.4 + z. What is s rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7 - 1. Let g be 3 + -1 + (n - 18). Is 14 a factor of 4\/g + (-247)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234876002 to the nearest integer?\nAnswer: 15326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -29. Let y(j) = j**3 + j - 1. Let z(l) = -4*l**3 - l**2 - 5*l + 6. Give d*y(g) + z(g).\nAnswer: 2*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*p + 32, 0 = 5*x - 2*x + 18. Let k = -3 - -4. Let n be (-25)\/(-15) + k\/3. Solve n*m - 2 = p*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*o - 803165 = 20449227. List the prime factors of o.\nAnswer: 2, 7, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6018717250 rounded to the nearest 100000?\nAnswer: -6018700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 241579409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypt when three letters picked without replacement from dxydtddp.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 576 = -5*k - 653, -4*k - 2*y - 58 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(-4 - (-165)\/40). Let j = -25 + 12. Let k be g\/3 - j\/39. Let p(c) = c**2 + c. What is p(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19604*h**4 - 33*h**3 - 7*h**2 + 11232424*h?\nAnswer: 235248*h**2 - 198*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1605 = 5*d + 1555 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 2. Suppose 8 = -16*w + 24*w. Let d be g(w). Which is the closest to -0.1? (a) d (b) -5 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 1 - 2*h - 7\/2*h**4 - 15\/2*h**3 + 49\/10*h**5 + 7*h**2. Let f(g) = 0. What is g?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1413640*r - 80. Let t be f(-22). What is t rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 2 + (-483)\/(-21). Suppose s*p - 7 - 61 = 0. Solve p*r - 6 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.3 (b) 3 (c) -1 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 4*q**2 - 64*q - 44 - 1\/12*q**3. Suppose c(r) = 0. Calculate r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 0*l**4 + 3*l**3 + 43*l**5 - 3*l**4 + 0*l**3 - 42*l**5.\nAnswer: l**2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/168 + 9\/56. Let u be (1813\/(-42))\/7 + 6. Which is the smallest value? (a) y (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 43168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -5 (c) 4349 (d) 4 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 17b7?\nAnswer: -17bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44\/55*(-13)\/(3718\/11)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, l: 6}. What is prob of picking 1 w and 3 l?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -933875 + 7482175\/8. Is t equal to 1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 21 + 4)*(2*z + 3*z - 3*z)*(55*z**3 + 11*z**3 + 17*z**3).\nAnswer: 5146*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8*2522\/39. Factor -3170 - 110*r - y - 3*r**2 - 88*r.\nAnswer: -3*(r + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1478*r + 3144 = 361*r - 944 - 1429. Factor 495\/4*q**2 + 57\/4 - 339\/4*q + 27\/4*q**r.\nAnswer: 3*(q + 19)*(3*q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 6)*(4*a + a - 4*a)*(-4*a + 6*a - 3*a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 10) in base 5?\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*r - 3. Does 16 divide -24*(r + 0) - 4\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose 2*r - 3*k = -2*r + 3, 5*k = 4*r - 5. Let m be ((-48)\/(-10 - -6))\/3. What is the nearest to r in 0.01, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156)\/10 + (-16)\/40. Let j = 16 + m. Solve -y - y + 10 = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(((d**(5\/3)\/d)\/d)\/d))\/(d**4)**(12\/11) assuming d is positive.\nAnswer: d**(-232\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55210552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1180 divide 2005892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13686.66 and 4.\nAnswer: -54746.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 8, -2\/7, -0.6, 119?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 9. Let c(z) = z**3 + 16*z**2 - 18*z - 162. What is the lowest common multiple of c(-16) and s(12)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:49 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*-3*-6)\/(-2*sqrt(7)*3).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36970 * 96.\nAnswer: 3549120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 121*m**2. Let r(d) = -5*d**2. Determine r(h(g)).\nAnswer: -73205*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x. Let z(t) = -3929*t - 3. Give z(i(q)).\nAnswer: 7858*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*o - 437*o + 221*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 15 = 44*z - 49*z, -4*o - 36 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -564\/7 greater than or equal to -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -43.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1215 smaller than -2\/183015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7485 (b) 1\/2 (c) -3\/7 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 253*t - 3909. Give h(16).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11.9548um?\nAnswer: 0.0119548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496900 divided by -2?\nAnswer: -248450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = -2*o, 25 = -0*o + 2*o - 5*g. Suppose 0 = -o*u + b + 80, -u + 0*b = 5*b + 10. Solve -4*d + u = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 42\/37 (b) -0.2 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8508 = c, -662*c - 4*u = -663*c + 8494. What are the prime factors of c?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -1.8 (c) -1.03 (d) -1\/3 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11 = -4*c, -m + 4 - 2 = 5*c. Let r = 2.93 + -6.898. Let v = r + -0.032. Put v, c, 2\/3, 0.2 in descending order.\nAnswer: c, 2\/3, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8293919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:47 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxixzzixxzix. Give prob of sequence ax.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333384, 666765, 1000146, 1333527, 1666908, 2000289?\nAnswer: 2333670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -88. Calculate the common denominator of (-54)\/(((-40)\/3)\/1) and (-885)\/g - 1\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2051 - 2051.1. Which is the closest to -1? (a) -380 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206975 divided by 20?\nAnswer: 41395\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 - (8 - (-2 + 11)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {z: 3, i: 7, u: 3, d: 2, l: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -308\/1719?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34385098.56 rounded to the nearest 100000?\nAnswer: 34400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3124144 - -2240?\nAnswer: -3121404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1134698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 q when three letters picked without replacement from {q: 3, f: 13}.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n - 10*n - 6*n + 7*n as v + h*n and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -84. Let p = 30 - x. Solve -4 = -c - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -244, -474, -694, -898, -1080, -1234, -1354?\n\"Answer: m**3 - m**2 - 234*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 4, b: 1}. Give prob of sequence byy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -12. Let d(h) = -h**2 - h - 1. Let p(q) = 8*q**2 + 2*q + 4. Let l(a) = v*d(a) + p(a). Is l(5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 3, j: 4}. Give prob of picking 1 e, 1 j, and 1 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, m: 1}. What is prob of picking 3 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -76. Suppose 3*w + n = 2. Let y = w + 18. Calculate the highest common factor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -12113?\nAnswer: 12044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/3? (a) -4 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3817010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1303030 (base 5) to base 9\nAnswer: -37741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -4\/3, -3, 0.03, -1\/2, -0.375?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114697163?\nAnswer: 7, 71, 230779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -1 - 0) + (-2 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 < 494\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188 plus 61?\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -1\/12*m**4 + 0*m**5 + 0*m**2 + 0 - 1\/42*m**7 + 2*m + 0*m**3 + 0*m**6. Find the third derivative of x(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:28 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taat when four letters picked without replacement from stasattstsst.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 19.6, 0.03 in descending order.\nAnswer: 19.6, 0.3, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = -0*g. Let c(o) = 13*o + 6. Let m(l) = 11*l + 5. Let v(r) = 2*c(r) - 3*m(r). Let z be v(g). Solve -5*i = 2*s - 29, 2*s + 2*s - z = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - 26\/6. Let a be 3\/h + (-6)\/(-10). Suppose v - 3*u - 1631 = 0, 3*v + 2*u - 2515 - 2378 = a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/30)\/(2 + 115\/(-50)). What is the nearest to 1 in 9, 4\/7, a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 + 4*a - 1. Suppose -l + 0 - 4 = 0. Let u be l\/(-16) - (-78)\/8. Suppose 5*x + u = 5*g, -10 = 3*g + 5*x + 24. What is t(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) + ((-35)\/15 - -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/(-12)*(-136)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and -0.38.\nAnswer: -10.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d + 10. Suppose 11 = y - 3*h, -10 = 3*y - 4*h - 53. Let n = y - d. Solve l - 2*k = -5, k = 2*l + 2*k - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*x - 35*x - 1862. Let o be 19\/((-10)\/4 + 3). Calculate the greatest common divisor of x and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99153 and 598.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120, -220, -320, -420?\n\"Answer: -100*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243*s + 244*s + 14*s**3 - 93*s**3 - 25*s**3 to the form h*s**2 + n*s + v + m*s**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + t**2 + 3*t + 0 + 4)*(-16 + 16 + 13*t**2).\nAnswer: 13*t**4 + 39*t**3 - 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1408581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -6, 33, 88, 159?\n\"Answer: 8*h**2 - h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -166723 (base 10) to base 12\nAnswer: -80597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.87, 2, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 10 + 17 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 4*l, -6 = -2*l + l + 3*y. What is the nearest to 0.1 in -4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32e + -1?\nAnswer: -32f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d**3 - d**2 + d + 1. Let c be a(-1). Suppose -5*m = 2*h - 22, -7 = -3*m - 0*h + 5*h. Let k = c - m. 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: Let t(l) = 5*l + 41. What is the units digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-16))\/(54\/(-108)). What is the closest to 1 in 0.1, j, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 33. Suppose r*c + 3*d = c + 126, -3*c = 4*d - 130. Suppose 0 = 4*g + g - 70. Calculate the least common multiple of g and c.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 10. Let k(z) = 3*z - 11. Let v(f) = 2*f - 23. Let m be v(14). Calculate m*i(d) - 4*k(d).\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 - 976*i**3 + 36492*i**2 - 361928*i + 1089760 = 0.\nAnswer: -278, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39243999.\nAnswer: 3, 13081333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - a - 54. Find the third derivative of -10*m**6 + 11*m**6 + 0*m**2 + 16*m**a + 11*m**2 + 2*m**5 wrt m.\nAnswer: 2040*m**3 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/14 + 4 - (-12)\/(-28)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/((-4)\/10074). Suppose 1146 = 2*h - 4*m, 2*h = -h - 4*m + d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1*(-12 + 50). Let u = q - -69. Suppose u*h + 691 = 32*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23320156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, r: 2}. What is prob of picking 2 d?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/5*1 + 876\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:43 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2610 - -3.\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 (base 7) in base 5?\nAnswer: -4022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 15.193 and 0.\nAnswer: 15.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23660 is divided by 7886.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2607*g - 2589*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 39*j + 222. Let o(b) = 98*b + 556. Let p(q) = 2*q**2 + 12*q + 4. Let s be p(-4). Let f(m) = s*i(m) + 5*o(m). Find the first derivative of f(g) wrt g.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 3*k - 17*k + 53*k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 <= 1087\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192060489 - 97260783. Let v = r + -23599706. Suppose 21*z = 25*z + v. What is z rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61bf02 (base 16) to base 15\nAnswer: -868095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -302 + 291.6. Let r = h - -10.1. Let y = 0.2 + 0. What is the nearest to r in y, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + ((-8)\/(-2))\/4. Suppose -3 = k*i - 9. Find the second derivative of 6*y + 0*y**2 + 0*y**i + 4*y + 3*y**3 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897042969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 3*y + y + 0*y + 208.\nAnswer: 4*y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaj when three letters picked without replacement from jjjjjjjuuaauaujaj.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 11*g + 1. Determine q(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0)**2 + -1 - (1 + 5 + sqrt(72) + sqrt(72)) - (-1 + 2*(0 + -2*sqrt(72))).\nAnswer: 12*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -14\/11, 2, 4.7, -1\/3 in increasing order.\nAnswer: -9, -14\/11, -1\/3, 2, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 610*u**2 - 2*u**3 + 638*u**2.\nAnswer: -u**3 + 1248*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4900 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*l - 82 + 82)*(-67 - 17 + 9) + 3*l - 4*l + 6*l to the form q*l + u and give q.\nAnswer: -5095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f - 10. Let u be c(2). Suppose 20 - u = 2*k. Suppose 2*v = -5*m + 19, -6 - 6 = -3*m - v. Solve 4*w - 1 = -5, k*t + 2 = -m*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/119))\/v**(3\/22))\/(v**(-1)\/v**36))**(-38\/5) assuming v is positive.\nAnswer: v**(-1882577\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-14) - (10 + (-888)\/84)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i - 11. Let u(p) = -10*p + 22. Let j(k) = 3*u(k) + 7*w(k). Calculate the smallest common multiple of -3*6\/36*(-2 - 18) and j(8).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3 + (-1 + 1 - 2)*(0 - 2 + 3) - 4 + 0 + 6)*(1 - 1 - 6)*(-1 + 3 - 3)*(5*y + 0 + 0)*(-10 - 7 - 2) as c*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 3185?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 114167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-3)\/(-9) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 3*g + 3*g + (2 - 2 - 11)*(0*g**3 + 2*g**3 + 0*g**3) to the form d*g + i*g**2 + n + t*g**3 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d**3 + 1391 + 30*d - 1391 wrt d.\nAnswer: 150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:52 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -39. Is (m\/3)\/(((-10)\/2)\/6135) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11823, 2, 3, 5, 236 in ascending order.\nAnswer: -11823, 2, 3, 5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(9072)*-4)\/(sqrt(9) - -3*-1*sqrt(9) - (sqrt(9) + sqrt(63)\/(sqrt(28)\/sqrt(4)))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29431033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + 58 + -62 + (-8 - 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 2653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27747661 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2661 by -887.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 3*o)*(-19 + 19 - 7*o) + (-2 - 1 + 0)*(-2*o**2 + o**2 + 0*o**2).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-499*k + 176*k - 280*k)*(-6 + 9 - 7).\nAnswer: 2412*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 - 46*b**2 + 3006*b**2 - 149 - 149.\nAnswer: 2960*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699582297.\nAnswer: 3, 233194099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -41\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11526559 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.8397 rounded to 1 dp?\nAnswer: 427.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-81)*6*-9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 20*c - 180. Is 3\/(c\/2636)*55\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 58.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -315\/8198362 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 2*u. Suppose 3*z + 10 - 4 = -2*o, 0 = -4*o - u*z - 8. Suppose -o*g - 19 = -4*g. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 27*k + 376 = 0. Let s = k - -297. What are the prime factors of s?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24360 = -448*l - 279*l - 113*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2747.5 litres in millilitres?\nAnswer: 2747500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.1, -1, 2\/71, -117?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6348 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + 10 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 2 k when four letters picked without replacement from {k: 5, p: 4, w: 5, b: 1, l: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 5*g + 8*g - 40 + 4*g - 10*g.\nAnswer: 4*g - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 18*g**2 + 19*g - 10. Determine b(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 2*c. Let d = c + 9. Suppose l + 3*h + 665 - 2870 = 0, 8875 = d*l + h. What is l rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.49 + 0.490000276. What is s rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -675227, -1350513, -2025799, -2701085?\n\"Answer: -675286*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 23*d = 54. Suppose 13*m - 987 = d*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128027 = -4991*x + 41896 - 229 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.07 and 0.619.\nAnswer: -0.66233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 68*f - 232. Give o(-37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -3637?\nAnswer: -5\/3637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*v = 15, -142*w + 20 = -141*w - 5*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Suppose 44 = z*i - i. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 141191*n + 141190.\nAnswer: (n + 1)*(n + 141190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.5, -13318, 3, -2, 2\/11 in ascending order.\nAnswer: -13318, -2, -0.5, 2\/11, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 216 = -8*g. Let y be 10\/2*-1 - (-172)\/g. Which is the nearest to y? (a) -0.1 (b) 4 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*v**2 + 26*v**2 + 1 + v**2 as r*v**2 + w + z*v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*n + 117 + 19 + 205 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 756 + -516. Suppose -q = -3*g - 0*g. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -27679\nAnswer: 775012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 681 = -972. List the prime factors of d.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(4860) + sqrt(4860))*2)\/((sqrt(432) - -2*sqrt(432)*-1) + sqrt(432) - sqrt(432)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34388, -34379, -34370, -34361, -34352?\nAnswer: -34343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084055?\nAnswer: 5, 13, 17, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 2) + -6 + 6. Is (-2)\/(p\/(-7))*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 + 0)) + -1 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:51 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7 - 10 + 2*i + 9 + 4*i. Let s(j) = 11*j + 11. Determine -7*l(h) + 4*s(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7308 is divided by 7280.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40750.8 - -40750.981. Let n = 0.4 - 0.3. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 12. Let b be x(7). Let k be (b\/5)\/((-2)\/20). Solve -n - k = 0, 1 = -3*u - 5*n - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 8*t - 7. Calculate the remainder when 70 is divided by (24\/28)\/(t + 30\/(-35)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8596 + -111823\/13. Let m = 33 + -39. Do i and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let r(z) = 77*z - 4. Let q = 2 - 3. Let k(t) = 12 + 7 + 18*t - 19*t - 25 + 7. Let x(i) = q*r(i) - 4*k(i). What is v(x(a))?\nAnswer: 73*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3797014, 7594026, 11391038, 15188050?\n\"Answer: 3797012*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70327*k**4 - 18*k + 0 + 12*k**2 + 0 + 2*k**3 - 70326*k**4 to b*k**2 + x + s*k**3 + u*k + v*k**4 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from {t: 6, u: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:11 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29.63*-0.59\nAnswer: 17.4817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from qooxqqatayxq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 96*q - 91*q. Let c(i) = -i**2 - 17*i - 57. What is c(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21133 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3\/7 + 365296*h**2\/7 - 8338976980*h\/7 - 50047013400\/7 = 0. What is h?\nAnswer: -6, 45665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 84*c + 932. Determine k(-14).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - 3 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*b - 322 = -85, -5*m + b + 423 = 0. Calculate the greatest common factor of 70 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*l - 20 = 0, 3*l - 16 = 3*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 2*a - 3. Let h be n(2). Let b = h + 16. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86862014 less than -86862009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 3*m**2 + 2*m**2)*(2334 - 1057 - 2134) - 5*m**2 - 3*m**2 - m**2 in the form s*m**2 + q*m + x and give s.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7382 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1111100000101000101 (base 2) to base 12\nAnswer: 206145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 5*z**2\/2 - 3*z + 6. Let a be 21\/14*(-16)\/(-3). Is l(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/9? (a) 0.4 (b) 1\/5 (c) -5.5 (d) 0.3662 (e) 1\/7 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12411, 49033, 109867, 194913, 304171, 437641, 595323?\n\"Answer: 12106*l**2 + 304*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 14. What is the lowest common multiple of (1 - 0) + 0 + 7 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 - p - 8. Let j be (5\/(-10))\/(3\/(-18))*-3. Let q be u(j). Sort q, -1, -2, -3 in decreasing order.\nAnswer: q, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3 + 4244*y**2 - 427528*y + 2031040 = 0.\nAnswer: -1154, 5, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -880016 = -879965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-84)\/(-20) + 15712\/90. Let t = 175 - a. What is the nearest to 3 in -3\/4, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 52*t**2 - 54*t - 97. Let d be l(-25). Suppose 2*r = -d*x + 3602, -4*x + 7*x - 3598 = -4*r. What are the prime factors of x?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, y: 6}. Give prob of picking 3 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 225\/3*5\/3. Let j = 775 + p. 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: Let d(i) = i**3 - 4*i**2 + 4. Let o be d(4). Is (8\/10)\/(o + (-17956)\/4490) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/5 + 37*b**2\/5 - 36*b\/5 = 0?\nAnswer: 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 7 + 3. Let n = g + 7\/2. Which is the smallest value? (a) n (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260620 is divided by 2286?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and -3.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 61*o + 5*o**2 - 61*o.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 7*s + 6. Suppose -m + 2*l - 11 = 0, -5*m + 4*l = l + 48. Let n = -13 - m. Let x be 6\/n*(-8)\/3. Determine d(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -409, -615?\n\"Answer: -206*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 402 + -370. Let i = -35 + 12. Let x = i + d. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 7*v**2 - 10*v - 12. Let t be o(-8). Factor -2*y + 3*y**2 - 11*y**4 - 19*y**t + 29*y**4.\nAnswer: -y*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:40 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18*o - 3. Let d be t(-4). What is the first derivative of -18 + d*v**2 - 149*v**2 + 71*v**2 wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.178 - 310.762. Let m = -334 - j. Let d = m - -0.06. What is the closest to -5 in d, 5, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b - 155. Let o(k) = 2*k - 2. Calculate a(c) - 6*o(c).\nAnswer: c - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*n + 7 = -2*n, -2*n - 2 = -3*s. Let i(q) = -q + 6. Let r be i(s). Suppose -r*p + p = -2*y + 9, 4*y + 4*p = -12. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -2 + -2)\/(2\/(-1)). Suppose t = -3*d + 3*a + 207, 4*d - 6*d + 138 = -3*a. Calculate the remainder when d\/(-2)*(0 + 8\/(-6)) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 7*s - 3*s - 45980, -4*c - 2*s = -45972. Suppose 3*p = -8*f + 4*f + c, 2*p = 10. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 586 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 5163176\nAnswer: -20652704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*2*1)\/(4*sqrt(252)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 7. Let o(w) = -6*w - 8. Let s(c) = -5*n(c) - 4*o(c). What is s(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081848.\nAnswer: 2, 3, 45077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*g**2 + 5 - 9*g**4 - 5 - 18*g**2 - 40*g**4 + 3*g**3 - 1 to the form f + w*g**3 + j*g**2 + v*g**4 + a*g and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0 - 6. What is the biggest value in z, 0.1, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126115, -126112, -126109, -126106, -126103, -126100?\nAnswer: -126097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, k: 3, l: 2, z: 3, h: 2, o: 1}. Give prob of picking 1 k and 3 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 5*f**2 - 3*f. Let s be h(4). Suppose 5*o - s*o - 10 = 0. Calculate the least common multiple of o and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 1 - 17 + 3*r + 8*r**2 - 4 - 1. Let j(p) = 2*p**2 + 4*p + 2. Let q be j(-3). Let a be l(q). Solve -4*u = -t - 5, -a*u + u - 10 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3812 + 26. Let k = -1780 - w. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*h**4 + 2*h**4 + 2 + 0 + 5*h**4 wrt h?\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:08 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21574273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32168 + -883?\nAnswer: -33051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 26 = -3*h + 5*h, -28 = h + 3*z. Let k(n) = n**2 + 20*n + 20. What is the least common multiple of 5 and k(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f - 55*f**3 + 4*f**3 - 33*f**3 + 3*f**2 + 9*f**3 - 28*f**3 wrt f.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/3))**(-3\/8))**39)**25 assuming c is positive.\nAnswer: c**(-975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704905541.\nAnswer: 23, 30648067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 343 = -3*g - 272, -c + 4*g = -211. Suppose 142 + c = 5*o. Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-214)\/(-4280))\/((-90)\/120)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g - 23. Let o be t(7). Let n = o + -165. Let x = -205\/3 - n. Sort 3, -1, x.\nAnswer: -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3353 (base 6) to base 13\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z - 15. Let u be c(3). Solve u = 5*k - 2*a + 20, -19 = k + 5*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -82 + 70dc?\nAnswer: 705a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:18 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2537 + 2538. Let i = 0.02 - 0.02. What is the nearest to u in -2\/17, i, -0.04?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4060 and 25?\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15*q. Let o(w) = 794732*w. Calculate o(k(g)).\nAnswer: -11920980*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u - 3*u + (0 - 1 + 3)*(2*u - 3*u + 0*u) + 3*u - 2*u - 2*u + 4*u - 4*u + u + 3*u + 2*u - 4*u)*(39*u**2 - 1 - 1 + 4)*(-u**2 + u**2 + 2*u**2).\nAnswer: 78*u**5 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 24*x**3 + x + 2*x**2 - 5*x**2 + 3 - 3*x. Let c be o(2). Suppose 2*k - k - c = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 2. Let i be d(-5). Let c be -18 - ((-6 - -3) + 0). Let p = -16 - c. Sort p, i, -2 in increasing order.\nAnswer: i, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1)\/(-13) - 8122\/403. What is the hundreds digit of 702 - h*(-16)\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1793235 - 1806092 = 299*l for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 281 = 4*o. Which is bigger: -64 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - -0.36. Let w = v + -8.18. Let p = w + 8.3. Which is the third smallest value? (a) p (b) -1\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -427 from 729617366762.\nAnswer: 729617367189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2686)\/119 - -22)\/((6\/(-21))\/(-2)). Put 2, -6, 99, a, -1\/10 in ascending order.\nAnswer: -6, a, -1\/10, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 16 = -4*m - 5*w, -4*m = 2*w + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 469 - 217 = 0. Solve -2*n = w + 4, -2*w + 4*n = -k*w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 2. Let f be k(-3). Let r be 1 + 2\/f + 1. Solve r = -2*b - 1 - 3, 0 = -2*c - 3*b - 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 387 - 62. Suppose 5*s + 10 = 0, 2*v - 5*s - 92 = -4*s. Suppose -2*p = -q - v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-24) + (10 + (-210)\/40 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -1)*(4 - 3). Which is the third smallest value? (a) g (b) -2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(7) + sqrt(7) + sqrt(7) + 1*sqrt(7) + sqrt(7) - sqrt(7)) + sqrt(784)\/sqrt(7).\nAnswer: 17*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 36*v + 9. Determine b(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-10)\/2 + 2. Let j(x) be the first derivative of x**4\/4 + 8*x**3\/3 + 7*x**2\/2 + 3*x - 1. Let y be j(v). Solve -10 = b - y*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 2*n**2 - 3 + 37*n - 12*n.\nAnswer: -2*n**2 + 25*n + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.9 + -86. Let v = 54.1 + i. Let l = v + -45.876. Round l to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 0*m - 6*m**2 + 5*m**2 in the form z*m**2 + v + d*m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**5 - 1\/72*i**4 + 0*i + 0 - i**2 + 0*i**3 + 1\/360*i**6. Let n(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/2)\/((-7)\/(-74)). Let u = i + -58. Which is the closest to 1? (a) 2\/9 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46 from 4555.79892.\nAnswer: 4601.79892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-3 - (1 - 3)). What is the least common multiple of 9 and (2 - a) + (13 - 8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14468530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 637.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -3391?\nAnswer: -3394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 2*b - 4*u - 10, 3*b - 8 = -u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-90) - 3\/15)*0. Solve d = -5*g + 52 - 37 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**7\/60 + r**5\/3 + 13*r**3\/2 + 19*r. Let i(g) be the second derivative of u(g). Find the second derivative of i(d) wrt d.\nAnswer: -84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1. Let m(t) = t - 1. Let g(k) = -m(k) - 3*r(k). Let p(w) = -2*w - 3. What is 4*g(y) - 3*p(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 0 + 0 + -2. Suppose 0*m - v*m = 4. Let i(t) = t - 5. Let n(j) = 2 - 3 + 0. Determine m*i(b) + 5*n(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6477422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474403?\nAnswer: 53, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304091311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15*s + 9. Let b be a(-2). Let z be 46\/161 - (-1 - 32\/b). Let k = z + 97\/231. What is the nearest to -0.1 in k, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -r + 4*r. Suppose 13 = 2*n + x - 33, 0 = -5*n + x + 101. Calculate the remainder when n is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.41 less than -212?\nAnswer: -222.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 9:14 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + ((-70)\/(-2) - 6). What is the second derivative of 127 - 130 + 54*j**5 + 3*j + p*j**5 wrt j?\nAnswer: 1540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4192171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.3 - 1.8?\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -125*z - 2 + 162*z + 2. Let a(m) = m**2. Give f(a(l)).\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84005 by 5.\nAnswer: -16801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 55\/6*a**4 + 58*a**2 + 0 + 0*a**3 - 129*a. What is the derivative of x(s) wrt s?\nAnswer: 220*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-35)*(-160)\/(-6). Let n = -20 + g. Solve -2*m + n = 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*-1*6. Let w(m) = 121*m - 485. Let r be w(4). Let s(k) = k + 1. Let n(f) = -f + 2. Determine r*n(u) + v*s(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000257615 rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/37 and (122\/(-4))\/(2\/(-2)).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54c (base 16) to base 14.\nAnswer: -6cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {r: 4, s: 2, i: 3, z: 1, k: 4, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1906809*c**3 + 7790*c**2 + 957*c.\nAnswer: -11440854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 13*w = -42*w - 16*w + 1029 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 54671408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*u - 2*v, u - 13 = -3*v + 7*v. Solve u*g - 5 = -20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*x + 652\/9 - 4\/9*x**2.\nAnswer: -4*(x - 163)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.81*504\nAnswer: -912.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211.77 + -13.47. Let s = -215 + t. Round s to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 5. Suppose u*o = 2*o + 180. Suppose -6*c + c = -o. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 + 8*n**2 + 14*n**2 in the form g + i*n**2 + r*n and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472600 divided by 11815.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:40 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -50 - 5. Solve 2*h - 3*h + f = 7, -4*h - q*f - 1 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/11 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2620*w + 374*w + 5325*w - 88*w to the form g + p*w and give p.\nAnswer: 8231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/25 of a gram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1277358 in 1\/10, 3\/2, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.42640898 and -1.\nAnswer: 8.42640898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11111010110000110?\nAnswer: -11111010110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -38201, -39\/4, 1 in descending order.\nAnswer: 1, -39\/4, -38201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189496, -757747, -1704850, -3030799, -4735588, -6819211?\nAnswer: -9281662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72832446.3 rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10974145579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -15 + 17 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j - 6. Let d be v(11). Let p be d\/15 + -1 + (-5)\/25. Suppose -p*r + 55 = -220. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**6 + 1795*g**4 + 4751*g**2 + 2.\nAnswer: 480*g**3 + 43080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2030*b + 14 = -7*m - 2034*b, -4*m + 5*b - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359 - 381 + 20 + 3*d**2.\nAnswer: 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/6 - (6 + -4). Let i = 65 - 58. Let v = 11 - i. Put v, -0.04, d in descending order.\nAnswer: v, d, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/60*(-7 + -1). Suppose 24 + 8 = k*g. Calculate the greatest common factor of 24 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.292288nm in micrometers?\nAnswer: 0.003292288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from csssylydlcyldccl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**3\/8 - 6323*o**2\/8 + 186123*o\/4 - 13230.\nAnswer: (o - 840)*(o - 63)*(7*o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 53*v = 48*v - 89, -2*v + 70 = 2*y. Calculate the greatest common divisor of y and 21747.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 556*y - 36330.\nAnswer: -2*(y - 173)*(y - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.7108 days to nanoseconds.\nAnswer: 17168613120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, h: 4, v: 6, x: 1}. Give prob of picking 3 e and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -23\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yidyb. What is prob of picking 1 d, 1 b, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 2039304*v**2 + 259891958016*v + 7798594222080 = 0. Calculate v.\nAnswer: -30, 254928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120213 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*t - 3*t = 17, 0 = -3*h - 3*t + 39. Suppose 0 = -5*c - 20, 3*c + 12 + 28 = r. What is the smallest common multiple of r and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*x - 4409 + 7253 = -7968 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 26*o - 6 = -29*o, 0*c - 3*o + 0*o + 27 = 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -8.6.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*z = 52, -2*m + 3*z - 15 + 12 = 0. Let i be (-21 - -11 - m) + 12\/3. Let a be (-22)\/(-1) + 1\/1. Solve 5*s = t - i*t + a, 0 = -t - 5*s + 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*k = 21748 + 31738 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250356 (base 7) to base 13.\nAnswer: -17b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 5782 = 5544. Let v = -1031 - p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmy when four letters picked without replacement from yyyymyymymmyyyyymy?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 15*j + 11*j - 14 = 0, -2*m - 2*j = 4 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Suppose 9*h = 18*h. Let l(i) be the second derivative of h*i**2 - i + 5\/6*i**3 + 0. Calculate l(v(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -64 + -28 + 12 + 13 + -15\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5 = 2*g + 3*a, -2*a = -2. Let y = -3 - g. Determine o so that -12*o - y - 3*o**3 + 12*o**2 + 6 + 1 - 3*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -351*y + 72*y - 39*y - 150*y - 340*y - 40804 - 4*y**2.\nAnswer: -4*(y + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2160)*-2)\/((sqrt(336)*-3)\/sqrt(7)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -6433?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 14*i**2 + 4*i - 20. Let d be g(14). Suppose 2*l + 2*f - 264 = d, -5*l + 726 = -3*f. What is the remainder when l is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from ruiii.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -783 (c) -2\/5 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/21*72*26\/(-12480).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 9. Let h = -3 + q. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6335, -12700, -19065?\n\"Answer: -6365*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**48\/(a*a**(-3)*(a*a**(-3))\/a))\/(((a\/(a*(a**(-2\/3)*a)\/a))\/a)**(-1\/10)*a**(2\/5)*a\/a**(1\/12)) assuming a is positive.\nAnswer: a**(1033\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(1 + 3 - 7)*((-z - 2*z + 2*z)*(3*z - 5*z + 0*z) + z**2 - 2 + 2 - 4 + 4 + z**2 + 0 + 0 + 3*z**2) to q*z**2 + v + m*z and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m**2 + 2195*m + 775 = 0 for m.\nAnswer: -31, -5\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 + 1880592*m**4 - 3*m**3 + 27823*m**2 - 58?\nAnswer: -120*m**2 + 45134208*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 28 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/2 - 567*w**3\/2 + 13536*w**2 - 13254*w.\nAnswer: 3*w*(w - 94)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -q + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345445 + 1025?\nAnswer: -344420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 203. Let g = 179.3 + n. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9 = -4*h, h - 434*a = -435*a + 2. What is the closest to h in -1, 2\/139, 4, 5?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 + 5*a**3 - 25*a**2 + 15*a = 0. Calculate a.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(sqrt(1100) + -5))**2 - (-3*(3*sqrt(1331) + -1))**2.\nAnswer: -106639 + 414*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 105 = o - 61, -o + 20*x - 1328 = -91*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2562300 divided by 156?\nAnswer: -16425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/40948?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 1149*o - 576*o - 575*o as z*o + a and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/13 + 1392\/(-624). Let y be (-2)\/2 - (-4 - -7). Sort v, y, 3, -5 in descending order.\nAnswer: 3, v, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82.545 - 76570.545. Let h = 76487.9659916 + t. Let l = h - -0.034. Round l to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11625204*p**3 - 120 + 120.\nAnswer: 11625204*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -1 (c) 2 (d) -3 (e) -2\/131 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p - 1. Let g(m) = -105*m - 685. Let t(b) = g(b) - 2*s(b). Differentiate t(n) wrt n.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3108 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 14*d**2 + 1 to k*d + f*d**2 + z and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:34 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -35, -66, -83, -74, -27, 70?\n\"Answer: 2*b**3 - 11*b**2 - 14*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*j = -7, 0*x + x = 3*j + 7. Suppose -q = -x + 10. Sort -2, q, -4 in descending order.\nAnswer: -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - p**2 + 0 + (-p + 1 - 1)*(-4*p + 3*p - p) + (-2*p - 2*p + 14*p)*(-p + 4*p - 7*p) to d*p**2 + o + y*p and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 19.55713 years?\nAnswer: 0.1955713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwuc when four letters picked without replacement from ccuwccuwc.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -23*k**3 - 7*k**2 - 24*k + 21. Let m(i) = -88*i**3 - 28*i**2 - 93*i + 86. Let s(x) = 23*g(x) - 6*m(x). Determine s(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-680)\/5)\/(2\/(-8)). Differentiate -50 - 21*z**4 - x*z**2 + 544*z**2 with respect to z.\nAnswer: -84*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -l + 10, 0 = 4*g - 4*l - 56 + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -20*r - 316. Let x = r + -78. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0530159929 rounded to six decimal places?\nAnswer: -0.053016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 156. Suppose -9*n + g = -3*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 - 240619*n + 481244. Determine a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343505623 is divided by 1879?\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 6 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 8*d**2 + 123 + 0*d**2 + 83 to g*d**2 + r*d + x and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Let l = 371 - 367. Sort 1\/8, m, 1\/5, l.\nAnswer: m, 1\/8, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3368.708 millennia to years.\nAnswer: 3368708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 231 - 1?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-6))\/((-14)\/84). Let q(b) = b**3 + b**2 + 7*b + 5. Let k be q(-1). Sort l, 5, k.\nAnswer: l, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 8. Suppose 2*b = 4*s + 3 + 5, -2*s + 5*b = -12. Let z be f(s). Let m(u) = 2*u - 6. Let t be m(4). Put t, z, 0 in descending order.\nAnswer: t, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let r(n) be the third derivative of -7*n**6\/90 + 12*n**3 - 2*n**2 - 26. Let g(a) be the first derivative of r(a). Calculate h(g(v)).\nAnswer: 1568*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97456.\nAnswer: 2, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(28)*-1 + -3 + 2 + sqrt(1008) + 1 + -2))**2 + 2.\nAnswer: -640*sqrt(7) + 11266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0 - 8 + 7 + 8*h + 6 + 2*h. Let c(z) = z + 1. Determine 5*c(t) - r(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let n = 23964 + -31081306\/1297. Let b = -2520\/47989 - n. Does b = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 98.818?\nAnswer: 494.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982282 is divided by 5553?\nAnswer: 5414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q - 7*q - 6*q. Let h(u) be the first derivative of u**3\/3 - 3. Give k(h(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*x = 16 + 28 + 173 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 12. Let q(k) = -14*k**2 - 13 - 3*k + k + 2*k**3 + 14*k - 3*k**j. What is the units digit of q(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 48*l + 423*l**2 - 54*l**4 - 91*l**2 + 6668*l**3 + l**5 + 7*l**5 - 6412*l**3 + 130*l**4 = 0. Calculate l.\nAnswer: -3, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 332 - 332. Suppose 35*m - 38499 + 3464 = i. List the prime factors of m.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0719218 rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 606, 1094, 1592, 2100, 2618?\n\"Answer: 5*k**2 + 473*k + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 7*j**2 + 5*j - 4. Let s be c(-4). Suppose 3*l + 18 = 6*l. Solve 3 - s*w**2 + l*w - 3 - 4 + 22*w**2 = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*(-40)\/28*266\/608*19.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*u - 2*u + 16, -3*u = -3*s. Let t(b) = 2*b**s - 2*b**2 - 6*b**2. Let p(v) be the first derivative of -2*v**3\/3 + 36. Determine t(p(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90775\/6 + -15129. Let l(b) be the second derivative of 16*b + 0 - k*b**3 - 11\/2*b**2. Give l(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81145, 81009, 80873, 80737, 80601, 80465?\nAnswer: 80329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - n + (4 - 2*n - 4)*(1 + 2 - 1) + 2*n + 0*n - 3*n + 2*n + 17 - 17.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 65 in descending order.\nAnswer: 65, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -126455.\nAnswer: -19\/126455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.388, -1\/4, 5, -0.02, -1\/5, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-11 - -43)\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.5 - 3.3. Let y = 9.8 + p. Let t = y + -10. Which is the third biggest value? (a) t (b) 1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 68*g**2 + g + 5. Let i be a(-5). Let k = -2771 + i. What is the tens digit of ((-1)\/3)\/(((-30)\/k)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, 1\/15, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -17 + (1 - (-2 - -6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 8 = 4*v. Suppose -p + 6*p = -v. Calculate the common denominator of 19\/2 and (-26)\/(-8) + (-2 - p).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544175 to the power of 1\/2, to the nearest integer?\nAnswer: 2558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -220 - -222. Let w = -497 + 468. Put w, 3, s in descending order.\nAnswer: 3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121.8 and -65375.\nAnswer: 7962675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947496 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 737*a + 19743. Give i(-25).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {v: 9, l: 11}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -4226275?\nAnswer: -4226275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*m*u**2 + i**2*m - 51*i*m**3*u**2 - i*m*u - m**3*u - 49*m wrt u?\nAnswer: 4*i**2*m - 102*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 449656012 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (-2*sqrt(243)*-2 - sqrt(243))\/((-1*sqrt(36))\/sqrt(4)) + -3.\nAnswer: -9*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6049804.653 rounded to the nearest one hundred thousand?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 18*k - 14*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - 2) - 7 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yayviaaviddviaeeie. What is prob of sequence ia?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001602 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31524587 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6*p + 4. Let f(t) = -1 - 5*t + 1 - 3 - t**2. Suppose 2*s - 26 = -0. Let a = -8 + s. What is a*m(w) + 6*f(w)?\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from blbl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495018026.\nAnswer: 2, 247509013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - x**5 + 0*x**3 + (2*x**2 - x**2 + 5*x**2)*(-x**3 + x**2 - x**2) + x**4 + 0*x**5 - 25*x**5 - 15*x**5.\nAnswer: -47*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-21)\/(-24)). Which is the closest to -0.3? (a) 0.4 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -378, -3 in increasing order.\nAnswer: -378, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42020437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.124 + 0.124. Which is the smallest value? (a) x (b) -0.06 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 96 + -118 + 42 + -5 + -25?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 + 29*p**2 - 157 with respect to p.\nAnswer: 3*p**2 + 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.396*-10139.\nAnswer: 206795.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*10*36\/(-480)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006471 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -1\/3 (c) -90 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274347015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 135*(-234)\/(-3042)*(-13)\/(-5)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -211331423 (base 5) to base 4\nAnswer: -3120123120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(2)*-2 + sqrt(2)))**2*2 + -4)*-3.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1175, 1172, 1169, 1166?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(7\/5)))\/a*(a*a*a\/(a*a**(2\/5))*a*a)\/a assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.10695? (a) -36 (b) 18\/7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.1. Let b = -2.02 + -2.98. What is the biggest value in y, b, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 13) in base 5?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -4)\/(21\/387). Let z = w - -673\/35. Let l = 201 - 196. Put z, 4, l in descending order.\nAnswer: l, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g - 2. Let t be l(4). Suppose 0 = -3*o + 8*o. Suppose o = -2*y + 5*y + 5*z - 28, 0 = 3*y - z + 2. Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*j**2*w**2 + j**2 + 78*j*r**2*w + 3052*r**2 + 22*r*w**2 - w**2 - 2*w with respect to j.\nAnswer: 34*j*w**2 + 2*j + 78*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 775646284 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -386.58853 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/((0 + 2)\/(-10)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 9*p**2 - 4*p + 2. Calculate v(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344225192.\nAnswer: 2, 53, 211, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:42 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34\/((-16)\/8) + 8316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) - (sqrt(2) - sqrt(8)\/sqrt(64))) + -6*2*sqrt(2) + (3*(-3*sqrt(2) - sqrt(2)) - -4*sqrt(16)\/sqrt(8)))**2.\nAnswer: -79*sqrt(2) + 6273\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 78*h**2. Let u(a) = -7*a + 42*a - 14*a - 18*a - 11*a. Determine u(c(p)).\nAnswer: -624*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 151\/4. Suppose -20 = 4*c, -2*c - 11 = 2*l - c. Let s = 2.8 - 2.7. What is the second smallest value in s, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 - u - 1. Let a be x(-1). Let i(z) be the first derivative of 3*z**2 + 1 + 0 - 2*z**a. Let k(y) = 2*y**2. What is i(k(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -197, -290, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, -197, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36474235 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (25 - 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5985, 11670, 17357, 23046, 28737?\n\"Answer: a**2 + 5682*a + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -64470*f + 1547296. What is u(24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 423, 586, 135, -1236, -3833, -7962, -13929, -22040?\n\"Answer: -51*f**3 - f**2 + 523*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 61, 7, 11, -2\/5, 23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9748724224 + 1.\nAnswer: 3.9748724224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 3*f**2 + f + 4. Let m be s(-3). Suppose -b = d + 4*d + 57, 5*d + 5*b + 45 = 0. Let j = -10 - d. Solve -j*o = -o - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 3*x + 39 = 0, 0 = -x - 3. Solve -4*h + l = -3*l + 24, -3*l + c = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100220012 (base 3) to base 16\nAnswer: -1c2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32976, -33247, -33528, -33825, -34144, -34491, -34872, -35293?\nAnswer: -35760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1100\/(-30))\/11*87\/(-2).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*20\/(-18)*108\/(-4140). Which is the nearest to 0.1? (a) n (b) -0.3 (c) -4\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24789*x**2 + 5112*x**2 - 18887*x**2.\nAnswer: -38564*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, -107, -3\/85, 0.2, 3?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2248*l**3 + 2255*l**3 - 4514*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 5*c**2 + 3. Calculate k(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 66*m + 307. Calculate the remainder when s(62) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 18, j: 1}. What is prob of sequence zj?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1)\/6*-15. Let v(g) = 4*g**2 + 2*g + 4. Let s be v(-2). Let l = s - r. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(5 - 52\/10). Let w be 5\/((-25)\/c) + -3. Solve -4*j - 10 = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581662067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2214*c**2 + 193*c + 589454 wrt c.\nAnswer: -4428*c + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 104572*n**2.\nAnswer: -104572*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/3, -3\/2, 50 in increasing order.\nAnswer: -3\/2, -0.1, 2\/3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j. Let i(f) = 112*f. Calculate z(i(b)).\nAnswer: -448*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5221 + 20607. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161*c**3*g - c**3 + 119*c**2*g - 45*c**2 + 35*c*g - 112*c + 20*g - 1 wrt c?\nAnswer: 966*c*g - 6*c + 238*g - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/5)\/(v\/(v\/v**5)) assuming v is positive.\nAnswer: v**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((((q**(-25)\/q)\/q)\/q*q)\/q))*(q**(-23)*q)\/q*q*q*q)\/((q*q*q**(1\/5))\/(((q*q*(q**(3\/4)\/q)\/q)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(-1009\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 2206 - 315 - 1721 - 1941.\nAnswer: -4*h**3 - 1771","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**2 + 2*f**3 + 122*f - 114*f - 15 - f**3. Is z(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*g - 9 = 0, 0 = -4*j - 0*j - g + 12. Suppose -9 = -0*v + 4*v + 3*u, 0 = 5*v - u - j. Suppose 9*w = 10*w - 5. Solve 5*m + v*m + w = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14*11\/231)\/(24\/2088))\/3.\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 + a - 1. Suppose 3*g - 3 = -0*g. Let m be u(g). Solve 0 = m*b - 2*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - (-86)\/6. Suppose -n = -5*r + 21. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116469481, -116469480, -116469479, -116469478?\nAnswer: -116469477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (432\/(-26))\/4 - -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 3*s**7\/49 + 2*s**6\/35 - 23*s**5\/70 + 2*s**4\/21 + 4*s**3\/21 - 5*s. Let l(h) = 0. What is h?\nAnswer: -2, -1\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 9. What is the highest common divisor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 10*d**2 - 9*d + 2. Let t be v(9). What is the third derivative of 349*g**3 - 1895*g - g**2 - 14*g**t - 104*g**3 + 1894*g wrt g?\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15999165 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a decade in years?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.050965 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, and 2 u when four letters picked without replacement from gkkkuku?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -2 + 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r**3 - 26*r**2 + 57*r + 84. Let n(i) = 6*i**3 - 16*i**2 + 38*i + 56. Give -5*h(g) + 8*n(g).\nAnswer: -2*g**3 + 2*g**2 + 19*g + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-2 - (-16 - 13))) + 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.34 in -2, -9, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/31, 1\/2, -70?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, 8, 23, -43, 2, -5 in increasing order.\nAnswer: -143, -43, -5, 2, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 50096*x + 22254945\/4 = 0. Calculate x.\nAnswer: -111, 200495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w - 23. Let s be g(5). Calculate the common denominator of 6\/2 + 268\/s and -39\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18 + (-10 - 24\/(-12)). Solve 0 = -23*l + 18*l + r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -50. Which is the second biggest value? (a) 4 (b) 1 (c) n (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 22203111?\nAnswer: 22203110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56791393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78\/38371 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2005.4515 - -521\nAnswer: -1484.4515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 161\/35 - 6\/10. Suppose 429 = m - 3*r, -5*r - b = -14. Suppose 2*g - 290 = 4*h, 4*g - g - m = -2*h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:35 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 4*a - 2. Let l(w) = 2*w**2 + w - 1. Let u be l(1). Let j be v(u). Suppose -29 = -j*g + 1. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3090215753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -311 - -114?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - (9471\/35 + -5). Let d = q - -279. Calculate the highest common factor of 481 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109116 and 31176.\nAnswer: 218232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1632451 or -1632449?\nAnswer: -1632451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 40*j + 75 = l, -9*j + 10*j = 3*l - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -455\/4 (b) 32\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 124\/6 + 2\/(-3). Suppose 0 = -0*w - 5*w + 5*g + 20, -5*g + c = 5*w. Suppose 20 = -0*m + 5*m, w*m - 181 = -3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51328393.5 to the nearest 100000.\nAnswer: -51300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -59.96. Let u = w + -0.16. Let z = u - -6. Which is the nearest to 1\/2? (a) z (b) -1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.114 + -0.014. Let s = -1 + 1. What is the smallest value in s, n, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -1642 - 412. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 + 11322 - 11308 + 4*c - 3*c)*(-c**2 - 4*c**2 + 0*c**2).\nAnswer: 40*c**4 - 5*c**3 - 70*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9169.391 nanograms in tonnes?\nAnswer: 0.000000000009169391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**2*l**2 + 124*f**2*l + l**2 - 22*l wrt f.\nAnswer: -8*f*l**2 + 248*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/4 + 2*x**3\/3 + x - 2. Let h be l(-2). What is the greatest common divisor of h and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**5\/20 + l**4\/3 + l**3\/6 - 2*l**2 - 18*l. Let v be q(-3). Differentiate -387*m + 2 + v + 395*m wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2633 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-3 + sqrt(245))*4 - sqrt(245))*-4 + -5 + -4)*1.\nAnswer: -84*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 4626?\nAnswer: 4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 2*k + 34. Let v = 7383\/2 - 3768. Let j = k - v. Which is the biggest value? (a) j (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svsvrvsvsgb. What is prob of sequence vg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 242 (c) 15 (d) -2\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2912*d**2 + 1806*d**2 + 1681*d**2 - 738*d**2.\nAnswer: -163*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5220 + -5?\nAnswer: -5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41538 is divided by 2596.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - -16) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1192*r**3 - 557*r**3 - 2191*r**3 - 3944*r**3.\nAnswer: -5500*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + 1.3. Let x = 0.0667 + 1.9333. Sort x, 0.3, k, -2\/9.\nAnswer: k, -2\/9, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 3072 = -5*b - 21*d, 3*b + 2*d - 1843 = 0. Let s = b + -584. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1938*f**3 + 17*f**2 + 40*f + 100. Let w be x(-14). What is w rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -12. What is the smallest common multiple of l and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218194 is divided by 198.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -69, -126, -185?\n\"Answer: -z**2 - 52*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h**2 - 39*h + 274. Let y be n(20). What is the greatest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 186?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 44.052. Let o = 0.142 + h. Let c = -0.5 + -1.5. Sort o, 0, c in increasing order.\nAnswer: c, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539549317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (-22)\/(-6) + 356\/6.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272001696 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 119*v + 8. Let q be k(-11). Let b = 51 + q. What is b rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Suppose r = -17*j + 62 + 23. Put -3, j, -4 in ascending order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + 5*o)*(-3 + 5 - 3)*(-174 - 221 + 178)*(-o**2 + o**3 + o**2).\nAnswer: 217*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17641579, -35283157, -52924735, -70566313, -88207891?\n\"Answer: -17641578*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -117430 less than 99806?\nAnswer: 217236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 372 = -1803 + 349 for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*h + 214 = 0, 3*o - 214 = 2*o - 4*h. Suppose 4*s = -86 + o. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*n, -2*i + 3 = -3*n - 2. Let s = n + 6. Suppose -67*q + 290 = -9*q. Solve 0*z = s*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, 3, -5 in ascending order.\nAnswer: -5, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88740 and 780?\nAnswer: 1153620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 299125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/5*m**2 + 12\/5*m.\nAnswer: 4*m*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30515 by -1.\nAnswer: 30515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577 + -127. Is 50 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 1. Let v be s(-1). What is the remainder when 9 is divided by -4*(50\/8)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295 by -59.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 2. Let b be x(8). What is the common denominator of b\/4 - (-1)\/(-4) and 28\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**5 + 284*t**3 - 3*t**2 + 12140*t wrt t?\nAnswer: -80*t**3 + 1704*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = 3 - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001100110 (base 2) in base 11?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*z**3 - 61 + 59 + 41*z**3.\nAnswer: 170*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285785 by -61.\nAnswer: 4685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiuinnuiiiiii?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/3 + 5111*r**3\/3 - 15439*r**2\/3 - 495959*r\/3 + 168762 = 0.\nAnswer: -5114, -9, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0346333cm in micrometers?\nAnswer: 346.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/768*(-304)\/(-2451)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 5*t**2 - 6*t - 4. Let v be f(-4). Suppose 4*p - v = -0. What is the lowest common multiple of 9 and 1\/3*0 + p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.68 + -27.32. Let b = -27.9999899 - c. What is b rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 5\/6, 54, 0.1, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-126)*3\/4*-2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1706 - -2870. Let b = -1164.0697 + n. Round b to three decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -599*f - 26. Let o be n(-1). Which is the second biggest value? (a) o (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7813.6137 rounded to the nearest ten?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94605 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: Is -1\/266 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7757142*s**2 - 7757142*s**2 - 1 + 1 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 0.2, 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2810, 14358, 34638, 63650, 101394, 147870, 203078?\nAnswer: 267018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + -2 + 4 - 2. Calculate the remainder when (-64)\/(-2) - (c + -13) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 13*v**2 - 4*v - 6. Let t(q) = -q**3 - 1. Let s(u) = 2*t(u) - w(u). Let o be s(13). Let m be o\/16 - 2\/4. Put 4, -3, m in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 4*d + 6. Let w be (-68)\/12 - 3\/9. Let z(s) = 10*s**2 + 35*s + 55. Let n(f) = w*z(f) + 55*v(f). Factor n(p).\nAnswer: -5*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151449*z**3 + 151482*z**3 - 302868*z**3.\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.01 (b) 14 (c) -2 (d) -2\/9 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108791247.\nAnswer: 37, 29967331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 + (-14 - -11) + -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by (1 - 2)*(17 - (-17 + 173))?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 530.7693 microseconds?\nAnswer: 0.5307693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x**16\/x)\/((x\/x**(-3\/5))\/((x*x\/((x\/(x*x*x**(-10)*x*x))\/x)*x)\/x*x)) assuming x is positive.\nAnswer: x**(213\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709897?\nAnswer: 19, 37363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16405705565 - -5814214362. Let g = k - -10591491319.00000099. Let s = g - 116. What is s rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(39)\/sqrt(3).\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3836839*l**4 - 64663 wrt l?\nAnswer: 15347356*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-21)*300\/((-1540)\/77)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5872160 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 1042, 1681, 2320?\nAnswer: 2959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = -85*j + 990 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 - w**5 - 2*w**4 + 2*w**2 + 213*w**3 + 6*w**5 - 216*w**3.\nAnswer: w**2*(w - 1)*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 15*o - 7. Let t be u(0). Let p(g) = 11*g + 83. Let h be p(t). Solve 2*j - h*j - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-55 - (0 + 1)). Let d = -108 - n. Let y = d + 249. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 6*u - 6. Let i be j(6). Let k(m) be the third derivative of -167*m**4\/24 - 3*m**3\/2 - 2*m**2 + 12. Is k(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5761*d**5 - 6*d**4 + 604*d**3 + 54926*d**2 + 808*d wrt d.\nAnswer: -345660*d**2 - 144*d + 3624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(2\/5))\/o))\/o)**(1\/9)\/(o**(-7)*o\/o**(1\/4))*((o*o**(-1\/5))\/o**1)\/(o\/o**(-4\/9)*o**(-2\/13)) assuming o is positive.\nAnswer: o**(1249\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - v = -23, 2*x - 4*v = v - 7. Solve f = 3*f + 2*r - 16, -x*r + 12 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 14*u**5\/3 - 194*u**4\/3 - 350*u**3 + 50*u**2\/3 + 1036*u\/3 + 48 = 0.\nAnswer: -4, -1, -1\/7, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 2, s: 1, i: 1}. Give prob of sequence nos.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**3\/3 - n**2\/2 + 12. Let m(w) = w**2 - w. Calculate 2*i(k) - 2*m(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/108*30\/4*42\/135\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and ((-24)\/(-6))\/(9208\/(-768) + 12)?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 + 14*m + 234*m**2 - 6*m + 0*m - 312 - 69*m**3 - 20*m = 0.\nAnswer: -26, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/50)\/(11\/(-14 - -69)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 1199*b + 1217*b - 2*b**2)*(-17*b**2 + 15*b**2 - 21*b**2).\nAnswer: 161*b**4 - 414*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3876)\/2584*(-6)\/11.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -10) + (1 - -9) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -5*r**4\/24 + r**3\/3 - 3*r**2. Let f(b) = -11*b + 4. Let q(m) = 3*f(m) - 7*h(m). Differentiate q(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15287345, 15287344, 15287343, 15287342, 15287341, 15287340?\n\"Answer: -x + 15287346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Let x = 25 - 15. Let c = x - j. Solve -3*h = -o - 0 + c, 3*o = -4*h - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 56694 = d, -11*g + 5*d + 226775 = -7*g. Find the third derivative of g - 278*y**3 - 56695 - 17*y**2 + y wrt y.\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -67\nAnswer: -53\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -76197?\nAnswer: -76197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 10 = -6*l, -3*c - 2*c + 10 = 2*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*3\/36*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 831 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/1)\/4 + -1. Let p be (-102)\/(-21) - d\/7. Let 8*z**5 - 5*z**3 - 4*z**p + 2*z**5 - z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:52 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/4 - 291*z**4\/4 + 579*z**3\/4 - 289*z**2\/4 = 0.\nAnswer: 0, 1, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999*c + 2847*c + 2552*c.\nAnswer: 6398*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1386442 to 3 dps.\nAnswer: -5.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275 + -275.05. Which is the biggest value? (a) 5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 + 159. Suppose m = -7*o + 20. Solve 5*c + 25 = 7*q - o*q, -5*q = 2*c - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 13*p**4\/24 - 13*p**3\/6 + 96*p**2 - 1. Let i(d) = 3*d - 3. Calculate -2*b(l) + 9*i(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, l: 14}. What is prob of sequence lld?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(6))\/sqrt(2)*3.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from nnnnnbsbbbbbnsbss?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1242)\/(-46)*(14\/12)\/(-7)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(-1 - 1 + 4) + 23 + 15 + 4)*(0 - 2*g + 0)*(-17 - 5 + 5).\nAnswer: 1564*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -14 + 0\/2. Let s(i) = 4*i - 16. Let g(w) = w - 15. Let j(c) = -4*g(c) + 3*s(c). Let k be j(o). Round k to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38066, 38064, 38062?\nAnswer: 38060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = 2. Let p = 12 + w. Solve 0 = p*q + 10 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 + 5*i**4\/12 + 7*i**3\/6 + 15*i**2\/2 - 57*i. Let o be x(-4). Solve 2*h = 0, o*q - 6*h = -h - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u. Let z be o(1). Suppose z*b = -b - 38. Let j be b\/(-10) + 2\/10. Solve 4*y = 3*x - 9 + 1, 6 = j*x - 3*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q + 27*q)*(5 + 4 - 12 - 4).\nAnswer: -147*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277\/6 + 1601\/30. Calculate the common denominator of t and -8\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**3 + 10*u + 11*u - 21*u.\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 559597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + g**3 - g**3 + (-7 + 7 + 4*g**2)*(15*g + 6 - 6) - 5*g**2 + 5*g**2 + 4*g**3 to l + s*g + j*g**2 + y*g**3 and give y.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2 - 1)*18. Suppose -y*m + 21*m + 6 = 0. Let v(c) = -2*c**3 - c**2 + 3*c + 2. Let a be v(m). Calculate the greatest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -38. Suppose 0 = n*l - 97 - 55. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3432080 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 25, 33, 43, 55, 69, 85?\n\"Answer: t**2 + 3*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1421083029 to the nearest integer?\nAnswer: 37697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:04 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775359 - 258451 - o - 258455 - 258453.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1305 + 1297. Which is the nearest to r? (a) 4 (b) 3 (c) 0.4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-2)\/18*-3. Suppose -p*v - v + 6 = 0. Solve 3*w + 1 = -v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 586 - 570. Suppose -17*l + u = -n*l - 113, -l - 5*u + 137 = 0. Calculate the least common multiple of l and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (96\/2)\/((-2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 72.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1118*l + 10. What is the remainder when 228 is divided by m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18423911 times 2\nAnswer: -36847822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6312 plus 75998893?\nAnswer: 76005205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6972644, 13945263, 20917880, 27890495, 34863108, 41835719?\nAnswer: 48808328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -9. Suppose 0 = -n*o - 5*b + 7, 4*o + 2*b - 6*b = 20. What is the least common multiple of 14 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4118*x**4 + 3866*x**2 wrt x.\nAnswer: -98832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364094186?\nAnswer: 2, 3, 7, 13, 157, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 968 and 440.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 4*g + 2. Let o be c(-2). Let d(s) = s - 5. Let n be d(o). Sort n, 3, 4 in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*w**3 + 117*w - 24*w**3 - 90*w**3 - 2*w**5 + 143*w**3 wrt w?\nAnswer: -40*w**3 + 1254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-11 + -199)*(-7 - -23).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81\/2 of a centimeter?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 445335*s**3*u**2 - 17*s**2*u**2 + 2*s*u**2 - u**2 + 402*u wrt s?\nAnswer: 2672010*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*m**2 - 5*m**2 + 53*m**2 - 273*m**3)*(-3 - 2 + 6).\nAnswer: -273*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + x**2 + x - 2. Let a = -38 - -79. Let d = a - 22. Calculate the remainder when b(2) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/160)\/(134\/536)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:13 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l = -13*l - 9*l + 5760. Solve -264 + l = -23*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 + 1836*c**2 - 5480*c + 3648 = 0.\nAnswer: 1, 2, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - v - 5. Let f(h) = h**2 - h - 15. Let g be f(5). Suppose 4*y - 2*c - 3*c - 31 = 0, 0 = -g*c - 15. What is the tens digit of d(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 - 15*d - 66. Suppose 6*u + 35*u = -278 + 73. Give o(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313243433?\nAnswer: 43, 2161, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/126 - 260\/(-14). Suppose o*h - 35*h = -3024. Let b(t) = -t**3 - 5*t**2 - 6*t - 3. Let u be b(-5). What is the greatest common factor of h and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 247. What is z(44)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -248*q**3 + 3*q**2 - 3. Does 35 divide n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.76 - 21.76. Let u be 8\/(-24)*(-3)\/1. Suppose u = 3*l - 11. Which is the third biggest value? (a) -3 (b) y (c) l (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -53*p**2 - 145*p + 772. Determine v(-6).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(15))\/sqrt(5) - (1 + (sqrt(3) - sqrt(12)\/sqrt(4) - sqrt(3))*5)**2.\nAnswer: -76 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 14\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11704 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7655004 divided by 5747\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11524, -47416, -107242, -191008, -298720, -430384, -586006?\nAnswer: -765592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**2*q**2 + j**2 + 70240*j*x**2 - 228*q**2*x - 4*q**2 - 7*q - 9*x**2 - x wrt j?\nAnswer: 16*j*q**2 + 2*j + 70240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + h**5 - 3*h**5 + (-3 + 4 - 3)*(5*h**5 + 3*h**5 + h**5).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -53\/2. Let g = -2\/131 - 123\/524. What is the closest to 1 in g, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 178830.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 570*w + 2\/5*w**2 = 0. Calculate w.\nAnswer: -1425, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -6. Let g be (f\/(-3))\/((-4)\/6). Let w(h) = -h**3 + 8*h**2 + h + 1. Let p be w(g). Solve 0 = 3*k - 3*b + p + 9, 3*b = 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170\/21 + -16\/21. Is 8 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 328\/563 and -0.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q)**(-40)*q**(2\/9)\/q*q**1 assuming q is positive.\nAnswer: q**(-358\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/494 + 122\/741. Let u = 65203087 + -1434790119\/22. Let v = u + 14650. Calculate the common denominator of p and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 10*g - 9. Let o be w(11). Solve v = -4*v - 5*a, -o*v - 3*a = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from gggugunnnuguuggug?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = 5*f, 9*g = 5*g + f + 23. Let a(c) = 8*c**3 - 6*c**2 - 3*c + 2. List the prime factors of a(g).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i + 93. Determine d(-4).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + q**2 + 2*q**3 + 0*q**3)*(1 + 2*q - 1).\nAnswer: 4*q**4 + 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(175) + 2)*-3*6.\nAnswer: 216 + 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.55?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/12 + 4*t. Let f(w) be the third derivative of -w**2 + 0 + 0*w**3 + 0*w**4 - 1\/10*w**5 + 0*w. Give f(v(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 253.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/59425 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:43 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006538839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjcjjccjjjjccjj.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**5 + 4*w - 4*w)*(1 + 2 - 2 + (4 + 3 - 5)*(-1 - 2 + 4) - 2 + 2 - 3 - 3 + 2 - 1)*(2 + 3 - 6)*(-1 - 2 + 1).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 1030044?\nAnswer: 1030140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1, -7, 3, -3\/8, -3\/4, -26834\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164554455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -938 - 173*n**5 + 938 + (3 - n**3 - 3)*(-5*n + 4*n + 3*n)*(-n + 0*n + 3*n) + 0*n**5 - 2*n**5 - 2*n**2 + 0*n**2.\nAnswer: -179*n**5 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drqr when four letters picked without replacement from qrrrrdqq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.067456481 + -28615.969156481. Let a = h + 28619. Let l = a - 3.1. Round l to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 15.94.\nAnswer: -31.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 716821353.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**2 + 4*h + 7. Let z(a) = 14*a**2 + 3*a + 3. Determine -5*w(v) + 6*z(v).\nAnswer: 19*v**2 - 2*v - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -129a42 (base 11) to base 6\nAnswer: -4210240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a1 + a?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t + 28 - 3806*t**3 + 5*t**2 + 3805*t**3 + 0*t**2. Determine r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.4 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:41 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11*w**2 - 4*w - 19. Let n(x) = 6*x**2 + 2*x + 10. Determine 3*d(z) + 5*n(z).\nAnswer: -3*z**2 - 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1062205 (base 8) to base 2\nAnswer: 1000110010010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.7 (b) -10 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 1238, 2793, 4970, 7769, 11190?\nAnswer: 15233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1055, 2689, 4331, 5987, 7663?\n\"Answer: r**3 - 2*r**2 + 1633*r - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*t + 693, -t - 2*n = -2*t + 237. Let w be 5\/(-1)*15\/((-750)\/2320). Is w bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30986066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 3. Let r(p) = 16*p - 14. Let o(g) = 3*r(g) - 14*v(g). Let x(t) = t**2. Give x(o(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -4\/45 (c) 81\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 2, z: 1, s: 5, f: 1}. What is prob of sequence hhfs?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 + n**2 - n**2)*(-2*n + 0 + 0)*(-3 - 1 + 1)*(0 - 3 + 12)*(3*n + 2*n + 7*n) in the form t*n**2 + z*n + q*n**3 + h*n**4 + y and give h.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*o - 4*b, -27*b + 30*b = -3*o - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 6 + 3)*(-3 + 3 - 2*v) + 3*v - 2*v - 2*v + 1 - 1 - 1 + 2*v)*(3 - 1 - 1).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(5*h - 5*h - 3*h**2) + 3*h**2 - 2*h**2 + h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -401\/4. Which is the closest to 0? (a) 3 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -5\/24*r**4 + 0*r + 3 + 1\/6*r**3 + 1\/6*r**2. Find u, given that l(u) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, -5, 36 in decreasing order.\nAnswer: 36, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Suppose -15 = -4*c + 9. What is the smallest common multiple of c and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 + 13?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283 - 104. Suppose b - 90 = 5*f, -3*b + 449 = 5*f + y. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100112 + 100022012101?\nAnswer: 100102112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(320)*1 + sqrt(320) + (sqrt(320) + 0)*-5 - 6*(sqrt(320) + -3)*1))**2.\nAnswer: -4416*sqrt(5) + 46609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7693 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 3*j + 2. Let o = 116 + -174. Let y = 59 + o. Let x be (-1 + -2 - -4) + (y - -2). What is i(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 7 in decreasing order.\nAnswer: 7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 0 - (2 - 3). Suppose -v*l + 12 = -2*o, 2*l - 6 = 5*l + 5*o. Suppose 26 = 2*x + b, -l*x - 2*b = -4*b - 32. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -1520?\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 5*i**4 - 3*i**4)*(-30*i + 3 + 20*i - 4*i).\nAnswer: -42*i**5 + 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*x + x = 11, 3*g = x + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 89)*(13 - 16). Let b = g - 270. Solve 0 = -b*m - 6 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(21)\/(sqrt(14)\/sqrt(2)) + sqrt(6)\/sqrt(8))**2.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 4. Let n be d(2). Let p = n + -1. Solve 2*y = -0*y - 8, -5*j + p = -y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i - 3. Let m(g) = g**2 + 6*g - 2. Let c be m(-5). Let s(f) = -2*f + f**2 + 5*f - 2 - 2*f. Give c*s(k) + 5*b(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let w(g) = 96*g - 510. Let q be w(6). Let s = o + q. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 3*b**3 - 3*b**2 + 9*b + 17*b**2. Let a be (-4)\/(-1) + -1 - 16. Is v(a) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*z = h + 7, 5*h - 22 = -z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 4*x**2 + 4*x**2 - x - 4*x**2 + 2*x**2. Suppose -2*c = 2*u + 12, -4*u = -5*c + 6 + 18. Let l be n(u). Solve -3*o - l = -6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11523 - (-13 + 12) - (6 + -1).\nAnswer: 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven tenths of a hour?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s + 0*s - 3*s)*(-1703 - 344 + 203).\nAnswer: -9220*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*(45 - 33)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12263*j**2 + 6958?\nAnswer: -24526*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4232\/33, -4, -51.5?\nAnswer: -51.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 + 17*j**5\/6 - j**4\/24 - 1126*j**3 - 186*j**2 + j. What is the first derivative of t(o) wrt o?\nAnswer: 3*o**2 + 340*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3116 and 95?\nAnswer: 15580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8047762.\nAnswer: 2, 4023881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -0.32. Let k = 43432 - 43458. What is the fourth biggest value in r, -5, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6.4 (b) 3\/4 (c) 0.4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9387479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(281\/2810)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13)\/(0 - (-1)\/(-13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0.05, 0.3, -1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(300\/20))\/((-9)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2565*r**3 - 3*r - 29 wrt r?\nAnswer: -15390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/13 + 58*j\/13 - 60\/13 = 0. Calculate j.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*5 + -1 + sqrt(19)*-3 + sqrt(19))**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -192, 4, 2 in descending order.\nAnswer: 9, 4, 2, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**2 + 8*b - 18*b + 29*b**2 - 41*b - 20*b.\nAnswer: -2*b**2 - 71*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 117, 231, 377, 555?\n\"Answer: 16*p**2 + 34*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200*f - 1092 - 38*f + 182*f + 1090 to the form d*f + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -196\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45673471 and 822?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 142 = 30. Let a be 2\/h - 38097\/(-119). Let f = a + -116. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6602.\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.01, 15\/28, 0.1, 3\/5 in ascending order.\nAnswer: -1, 0.01, 0.1, 15\/28, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 - 5*h - 2. Calculate n(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/234 and -51\/2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*v - 3, -5*v + 4*j = -77 + 89. Suppose -3*p + 4*m + 29 = v, -4*p + 5*m + 7 = 6*m. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.667 from 24.\nAnswer: 20.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-131.89.\nAnswer: 2110.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1829*a - 26*a**2 - 3632*a + 1803*a.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 754704689 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 387710 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18120*k + 18120*k - 2518*k**3 + (k - k - k)*(-k**2 + 0*k**2 - k**2))*(-3 + 0 - 2 + 1 - 2).\nAnswer: 15096*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 2273553?\nAnswer: -2273576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*c + 105 = -c, 0 = -5*c - 15. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 + 2 - (-1 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*z)*(-5 - 5 + 11 - 19*z**2).\nAnswer: 57*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2 - 263*r + 262. Let u be p(1). Solve 0 = -24*b + 21*b + u*t - 1, -5*t = -2*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1486484 = m, -6*m - 1486504 = -7*m - a. What is m rounded to the nearest ten thousand?\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2650 - -2634. Which is the second smallest value? (a) 4\/3 (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6 + 6. Suppose -n - o*z + 12 = -3*z, 0 = -5*z. Suppose -2*i + 5*i = y - 39, 2*i - 229 = -5*y. What is the remainder when y is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*p + 6*y - 152, 0 = -3*p + 3*y + 84. What is the smallest common multiple of 10 and p?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*c**2 + 403*c**2 - 1227*c**2 + 410*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 2*o**2 - 4. Determine k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 121 (b) -10 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3 - 10*s - 14*s - 11. Let n(v) = -5*v - 7. Let f(y) = 3 + 6 + 5*y - 3. Let h(w) = -4*f(w) - 3*n(w). Determine 14*h(x) - 3*r(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(18)*6 + 0)*2)**2 - (sqrt(864) - -3*sqrt(864))\/(6*sqrt(192)).\nAnswer: -sqrt(2) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3)**(-2\/57))**23 assuming n is positive.\nAnswer: n**(-46\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -40*f - 2. Let i = -197 - -199. Let n(z) = -z**2 + 12*z**2 - 7*z**2 - 6*z**i. Calculate n(t(b)).\nAnswer: -3200*b**2 - 320*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 106 = 94 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2843*q - 8*q**3 + 2843*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 326, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0*r**2 + 1\/2*r**3 - 5*r + 0. Let p(s) = s**2 + 2*s**2 + 0*s**2. Give p(n(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -87 (b) -3 (c) -7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 148193 - 151053 = 0 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -50, -73, -94, -113?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Let l = -7 - -10. What is the lowest common multiple of l and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5642 and 1883.\nAnswer: -3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 36, 84, 172, 312, 516, 796?\n\"Answer: 2*u**3 + 2*u**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 12. Let u be ((-2)\/(16\/10))\/(q\/(-3336)). Suppose 3*k - 8*k = -u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 171. Calculate the lowest common multiple of p and 71.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a = 585 - 414 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60935 + 88202. Is (1*-1)\/(n\/2727 - 10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 - 324. Is (d\/16)\/(3\/(-16)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1 (base 13) to base 12.\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.1 + 0.1. Let f = -17.4 - -17.8. What is the third biggest value in -0.3, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.4 + 23.142. Let k = n + -0.242. Let t = -13\/66 + -3\/22. What is the smallest value in t, k, -1\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 6\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 >= 450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193345008 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**7)\/(s*s\/(s*s**(3\/8)\/s))*(((s**5*s*s*s)\/s*s)\/s)\/s*s**(1\/3)*((s\/s**3*s)\/s*s*s**(-3\/4))**(-3\/11) assuming s is positive.\nAnswer: s**(3481\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-20.52.\nAnswer: -4.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 41*w - 52*w - 151*w - 13*w.\nAnswer: -175*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5597982 to the nearest integer?\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-544)\/48 - 3\/(9\/2). Let r be (-5)\/(-15) + 2*8\/h. Which is bigger: -106 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 86.2856?\nAnswer: -69.02848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:37 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 g when three letters picked without replacement from gjggjgjg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 52154354?\nAnswer: -52154352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 4, b: 4}. Give prob of picking 1 l and 1 c.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 62*o**2 + 705*o - 890. What is t(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6578584 to the power of 1\/2, to the nearest integer?\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 36 = -36 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -487.3?\nAnswer: -487.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -98*o**5\/5 + 3*o**4\/4 + 4507*o - 2981. Differentiate g(r) wrt r.\nAnswer: -392*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1803859 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -348947 * 0.222\nAnswer: -77466.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4099, 4105, 4123, 4159, 4219, 4309, 4435, 4603?\n\"Answer: o**3 - o + 4099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23616059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.24 (b) 2 (c) -35 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 84, 128, 170, 210, 248?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oht when three letters picked without replacement from {h: 5, q: 5, t: 2, o: 7, a: 1}?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770544?\nAnswer: 2, 41, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9771 is divided by 816?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*m = -5*n + 36, 6 = -2*m. What is the highest common divisor of 357 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 17*v**2 - 20*v. Give b(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 0.3, 11, -12 in decreasing order.\nAnswer: 11, 0.5, 0.3, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*h - h**3 + 340*h - 62 + 62.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-6) - 2)\/(3\/(-972)). Let x = i - -321. Let s = x - -8. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-3) + (-6)\/(-5). Let n(s) = -s**2 + 2*s + 6. Let r be n(4). Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 2. Let v = 2243 + -2242. Let y(p) = -p - 1. Give v*u(c) + 2*y(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3148850, -3148852, -3148854, -3148856, -3148858, -3148860?\nAnswer: -3148862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -443557.\nAnswer: 1\/443557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) -5847 (c) 7\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10404512 by -650282.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -315671000 to the nearest 1000000.\nAnswer: -316000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 9*o + 9. Suppose o*x + 2*x = -2*c + 138, -4*c + 80 = 3*x. Calculate the remainder when 165 is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21325, 42761, 64197?\nAnswer: 85633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21079 and 20291.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-3*t**3 + 6*t**3 - t**3) - 5*t**3 - 5*t**3 - 5*t**3)*(-3 + 1 + 1).\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.66804 decades in years?\nAnswer: 616.6804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-984620)\/424144*2\/13?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 456574966 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/1764 + ((-1058)\/525 - -2).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 - 5*q**2 + 4*q + 1. What is z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 13. Let q be r(-10). Is ((-33)\/(-3))\/(q\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*t - 13*t - 240 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -15 (c) 4\/7 (d) -398 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192\/7*y + 0 - 6\/7*y**2.\nAnswer: -6*y*(y + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h**4 - 6 + 4*h**2 + 0*h**3 + 2\/3*h**6 - 3\/14*h**7 + 1\/3*h**5 + 0*h. Find t such that x(t) = 0.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 24 = -2*r. Let p be 4\/(-28) - 2\/(r + -2). Find n, given that p + 3\/5*n**4 + 0*n - 2\/5*n**3 + 0*n**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 + 4 - 7 = 3 - 6, -12*s + 107*b - 110*b = -63 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094*f**3 - 4005*f**3 + 1904*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 6. Let u be t(5). Suppose -4*z + 43 = -u. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/15 (c) -119 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26017910 by 2601791.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 811196899 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.69 (c) 3\/2 (d) -2\/13 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 2*j**2 - 2*j + 3. Suppose 2*m + v = -6, 0 = -m - 5*v + 1 - 4. Let w be o(m). Solve w = -3*y - 8 - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57979 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 208 = 4*s. Suppose s = 4*q - 4*y, -5*q + 2*q = 4*y - 64. What is the greatest common factor of q and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -123?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 3*j**2 - j. Suppose -2*i = -0*i + 6, 3*b + 4*i = -3. Suppose -b*w = 7 + 5. Let h(m) = m**3 + 2*m**2 + m. Give w*h(y) - 3*z(y).\nAnswer: 2*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 29438872946?\nAnswer: -29438872944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2422 (base 7) to base 2.\nAnswer: -1110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 7) in base 13?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -203, -196, -187?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.3423 milligrams in kilograms?\nAnswer: 0.0001563423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/53289 and 27\/911834?\nAnswer: 8206506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17.9, -2\/7, -12\/7, 2\/9?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 79 = -h - 3*c, 4*h + 5*c = 295. What is the tens digit of -3*(0 - 4 - h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:02 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + (-15 - -11) + -16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245423 is divided by 5335?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-8)\/48 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*b - 11, -5*b + 5*s + 17 + 13 = 0. Suppose -4*v + 2*w - 22 = 0, b*v + w = -w - 41. Let q = v - -16. Solve 0 = -2*c - 3 + q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**3 - 4*s**2 - 5*s. What is y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41\/1781 - 4991\/1145183. Let s = u - 43261\/9645. Find the common denominator of -27\/40 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865134 is divided by 2379.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.35 - -1.895. Let a = g + -4.545. What is the biggest value in a, 8, 0, -2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 - (-1)\/3. Let i = 3 - w. Suppose t = -i*n + 5, t + 27 = 3*n - 4*t. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e1 - -4?\nAnswer: -2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8*o**5 - 832*o**4\/3 - 28202*o**3\/9 - 32246*o**2\/3 + 113960*o\/9 + 47432 = 0.\nAnswer: -77\/6, -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -294.7, 18\/13, -2\/5?\nAnswer: -294.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 2*r + 4*r - 3 + 3 - 2*r + (0 - 1 + 3)*(5*r + 2*r - 5*r) + 12 - 12 + 11*r - 2*r + 4*r - 4*r + (-1 - 2*r + 1)*(-3 - 4 + 4) to a*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2 = 2*a, 3 = 4*z + 23358*a - 23361*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*x**4 + 666*x**3 - 510*x**2 + 227.\nAnswer: 3552*x + 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13968 and 2244.\nAnswer: 2612016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2887 in -1, -10, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1184*p + 3653. What is a(-3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 28051?\nAnswer: 56102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.9 * 68.\nAnswer: -401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/47)\/(-2 + 0\/4 + 1)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:51 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f**(-1\/5)*(f**(-2\/9))**(-6) assuming f is positive.\nAnswer: f**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60, -9, -2\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 11*r**2 - r**3 + 33*r**2 + 68*r**2 - 2 to m*r**2 + a + f*r**3 + q*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 400002143011 and -964?\nAnswer: 400002143975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*j - 471 = 0, 62*j - 67*j = -2*s + 957. Calculate the lowest common multiple of s and 595.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/6*13506\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 46*b**2 - 29*b - 43. Let y be r(-23). Calculate the greatest common divisor of y and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbba when four letters picked without replacement from ababaabgabbabbbgba.\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 74*y + 921. Determine j(-14).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 13123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 51*d**2 - 6*d**2.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orr when three letters picked without replacement from wowoowwwoqorqwrorww.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353899?\nAnswer: 7, 13, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*g**5 + 478431*g**4 - 198358583*g**3 + 290921249*g**2 - 103983672*g + 10942864 = 0. Calculate g.\nAnswer: 4\/17, 1, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493826 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19630, 19836, 20098, 20428, 20838?\nAnswer: 21340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 683 - 675. Suppose 0 = -10*v - j*v + 486. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218835 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 57181000 to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30891644 and 5852.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(4*sqrt(90)\/sqrt(6) - sqrt(15)))\/(6*(sqrt(75) + -2*sqrt(75))))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = 254 - 430. Let m(u) = 5*u**3 + 3*u**2 + 2*u + 1. Let i be m(-2). Let v = 58 + i. What is the remainder when v is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46717745 by -3.\nAnswer: -46717745\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/v**8)**(-22)*(v**(1\/2)*v**(3\/8))**(-11) assuming v is positive.\nAnswer: v**(1683\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40518 is divided by 231.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 1. Let j(d) = -126*d + 14. Let f(n) = 127*n - 16. Let g(b) = -3*f(b) - 4*j(b). Let l(h) = 4*c(h) + g(h). List the prime factors of l(2).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61997880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/63181755 and 38\/999.\nAnswer: 63181755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/510 and 91\/45804.\nAnswer: 3893340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -7*g. Suppose 0 = -3*z - 3*q, -g = z - 3*q - 6. Calculate the common denominator of -1\/8 and 189\/30 + -3 + z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6083099638.\nAnswer: 2, 7, 11, 39500647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 52*j**2 - 249*j - 2743. Give c(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1\/2 (b) -76.6355 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130)*-1)\/(sqrt(10) - sqrt(50)\/(sqrt(5) - sqrt(5)*-1)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831460?\nAnswer: 2, 5, 17, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2010)\/(-16) + 63\/168. Calculate the greatest common divisor of 72 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21.3 (b) -0.2 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -74.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t*u**2 + 1875864*t*u + 31164*u**3 wrt u.\nAnswer: 8*t + 186984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -1774, -3955, -6990, -10873, -15598, -21159, -27550?\nAnswer: -34765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64197 or 64191?\nAnswer: 64197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 254288 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 44?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -17\/19, 31, -3?\nAnswer: -17\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydc when three letters picked without replacement from dydcedcdccb?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/90592 and 53\/1592.\nAnswer: 18027808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2714506880?\nAnswer: 2, 5, 457, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = g - 0*g. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, r: 1, k: 1, z: 1}. Give prob of sequence qk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6282*r - 2. Let k(f) = f**2 - 8*f - 24. Let a(u) = 4*u**2 - 36*u - 108. Let l(i) = -2*a(i) + 9*k(i). Calculate o(l(w)).\nAnswer: 6282*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -341*x - 459. Let z(d) = -58*d - 77. Calculate -3*c(k) + 17*z(k).\nAnswer: 37*k + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 8 + 602552*z - 20 - 602555*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 24806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.398 + -3686.06.\nAnswer: -3697.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.004437, -28, 3 in decreasing order.\nAnswer: 3, -0.004437, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 170\/30 - 4\/6. Suppose 20 + n = -5*w. Let r(a) = a - 2. Let q(s) = 3. Let d(m) = w*r(m) - 4*q(m). Determine d(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-8)\/3)\/(1100\/75 + -15). Let v(y) be the first derivative of 0*y + 1\/27*y**6 - 2\/45*y**o + 0*y**2 + 2\/27*y**3 + 6 - 1\/18*y**4. Factor v(w).\nAnswer: 2*w**2*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 + 427*j\/5 - 2571\/10.\nAnswer: (j - 3)*(j + 857)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = h + 212, 0 = -5*h + 3*n - 970. Let t = h - -191. Solve t = -p + 4 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 2. Let a be j(-1). What is the second derivative of -23*c**2 + a*c + 33*c**2 + 2*c wrt c?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2880))\/sqrt(9).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuaaxdhh. What is prob of sequence uau?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 6*b**2 + 3*b - 4. Let i be h(-5). Let p = 7 - i. Is 4\/5 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:52 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a - 8. Let n be x(0). Let m be 2\/13 - n\/(-104)*-427. Calculate the greatest common factor of m and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-373*t**4 + 410*t**4 - 1067*t**4)*(-5 - 3 + 2).\nAnswer: 6180*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-5) - (-126)\/105)*25. Calculate the highest common divisor of j and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 130*h - 126*h. Let d(o) = -o**3 + 4*o**2 + 2*o + 3. Determine d(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -90, 5, -31118?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-9)*728\/(-182)*(-3)\/(-3).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -110, 2, -25 in decreasing order.\nAnswer: 5, 2, -3, -25, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2802, -2, 24 in descending order.\nAnswer: 2802, 24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19312, 154564, 521688, 1236622, 2415304, 4173672?\nAnswer: 6627664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 76*w + 488. Suppose 3*b = 10*k - 14*k - 10, -3*k = 2*b + 6. Let l be a(b). Solve -3*v + 26 - l = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u + 2. Let r = 35 + -36. Let b be w(r). Suppose -72 - b = -s. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.36 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*k + 4*z = 294*k - 28, -k + 22 = -0*z - 4*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3 + (-6 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -23 + 2\/2 + 1. Does 14 divide ((-108)\/l)\/((-2)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 5791847166680.\nAnswer: 5791847166680.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 6.09?\nAnswer: -6.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 is the remainder when 196 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611551835?\nAnswer: 5, 1307, 93581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 2*sqrt(136))\/sqrt(8) + 3 + (sqrt(85) + -4*(sqrt(85) + sqrt(85) + (-2*sqrt(85) - sqrt(85)) - sqrt(85)))\/sqrt(5).\nAnswer: 3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2 - (-3 + 0). Is (-157)\/(2 - (b + 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7607.\nAnswer: 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133242681631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 62 = -14. Let x = -833 + -407. Is (x\/w + -1)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(110) + sqrt(110) - sqrt(110)) - sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:05 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 27*p - 7*p - 40. Let x(l) = -29*l - 38. Let i(d) = -5*h(d) + 4*x(d). What is the first derivative of i(v) wrt v?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*r + 5*x + 99, -3*x = 3*r - 144. Let w be (-20)\/r*(-3)\/2. Find b, given that 0 + 2\/3*b**2 - w*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21946509 by -47.\nAnswer: -466947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*z + 3*u, 2*z - 6 = -3*z + 2*u. Which is the closest to z? (a) -0.1 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*g**2 - 28*g**2 - 33*g**2 + (-3 + 0 + 2)*(-g**2 - g**2 + g**2) + g + 14*g**2 - g.\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:10 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365.3749um to centimeters.\nAnswer: 0.03653749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uiiiiiiiui.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 - -60536.\nAnswer: 60499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15832 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 5 - 3*u + 2*u + 8*u**2 + 0 + u**3. List the prime factors of j(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2496 and 12696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12268 and 52.\nAnswer: 159484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 287074, 287131, 287226, 287359, 287530?\n\"Answer: 19*h**2 + 287055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 4. Solve 2*v = -m*b - 8, -3*b = -0*v - 5*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/306*3 - (-9)\/27. Let z = -7.1 + 2.1. Which is the second biggest value? (a) z (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 2. Let y be o(14). Suppose 3*k - 4*k + y = 0. Let v be -1*2 - (0 - 2). Solve 0 = -v*i - 3*i + k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(84*13\/5304)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3103 and 366 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11*p = -48. What is the hundreds digit of (-344)\/(-3) + 4\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 418*l**2 + 16 + 14 - 52 + 9 - 340*l**2.\nAnswer: 78*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 2\/467?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from akfiiiiii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1413, 5651, 12713, 22599, 35309?\n\"Answer: 1412*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(287\/(-98) + -4). Is 2 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*v + 4, 11*v - 7 = -f - 18. Solve -52 = 8*s - 4*u, 5*s - 8*s - 2*u - 9 = f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 1:54 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - q + 0*q)*(1 + 3 - 2) - 4*q + 0*q + 6*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.3 + 13. Let j = 5.4 + -5.35. Let x = j + 0.15. Which is the third smallest value? (a) -0.3 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1048.5 + 1053.5. Suppose -2*x - 1 = -x. What is the nearest to x in c, -1.6, 4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*1*2*((-1 + sqrt(2048))*3 - sqrt(2048))*6)**2.\nAnswer: -11943936*sqrt(2) + 255083904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**3 + 9*x**3 + 21891 - 21891.\nAnswer: 50*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7 + 13*v + 2*v - 11*v + 10*v. What is the lowest common multiple of g(1) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004719466 rounded to 6 decimal places?\nAnswer: 0.000472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3639\/5 - -727. Let j = 493\/6 - 82. What is the nearest to v in 0.2, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*s + 2, 4*j - 3*s - 14 = -2*s. Let r be -3*44\/(-12) + j. Calculate the greatest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 35. Suppose 505000 = k*m - 2*m. What is m rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 3*v + 2. Let w(p) = 593*p**2 + 30*p - 14. Let u(f) = -7*n(f) - w(f). Let j(z) = -z. What is u(j(s))?\nAnswer: -565*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 2*o - 2*o)*(12 - 5*o**2 - 12)*(0 - o + 0).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/20)\/(34\/85)*(-32)\/(-44).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + n + 2. Suppose -5*p = v - 3, 4*v + 0*v - 12 = -p. Calculate the smallest common multiple of x(p) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 20*q**3 - 13*q + 22*q - 9*q**2 + 4*q**2 - 9*q to a*q**3 + j + g*q + d*q**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 17*p = 13*p - 966, 3*p = 0. Is z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -3\/7, -0.2, -1198243\/6 in descending order.\nAnswer: 0.01, -0.2, -3\/7, -1198243\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:40 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7 = 11. Suppose -c*u + 9 = -11. Solve 5*k = u*r - 20, -r + 5 = 4*k + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.79 times -428\nAnswer: 338.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1425002 by 2291.\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**3\/3 - y**2\/2 - 2*y + 30. Let o(w) = w**3 + w**2 - w - 1. What is 2*j(c) - 2*o(c)?\nAnswer: -2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 2. Let u be q(-2). Let k = 1 - u. Let v = 336 + -1679\/5. Put v, k, -3 in descending order.\nAnswer: k, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103995 = -28*j + 103351 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179.99003 + 180. What is h rounded to 4 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a week in hours?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294916 is divided by 42095?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 76*y. Let t(x) = -2*x**2. Determine c(t(d)).\nAnswer: 4*d**4 - 152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/21801 and -56\/3?\nAnswer: 21801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 4) in base 13?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*l - 65, -25 = 4*m - 5. What is the least common multiple of l and 228\/190*140\/8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blxcv. What is prob of picking 1 x and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20897877 by 3.\nAnswer: -6965959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2. Let v be o(1). Suppose v*x - 27 = -3*a, 0*x - 4*x = -4*a + 4. Let i be (0 - 0)*(-2)\/a. Which is smaller: i or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81\/340 + -1\/85. Let r be ((-3)\/(-36))\/((-12)\/(-54)). Is y at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-165) - (-1 + 1 + (-210)\/385). What is the nearest to s in 1, 0.4, 11, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = 2*y - 1, z = -2*y + 14. Solve q + 2*p = 6, -3*p - y = -3*q - 6*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4 - 185*f**3 + 1345*f**2 + 185*f - 1350 = 0.\nAnswer: -1, 1, 10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21431081.\nAnswer: 7, 263, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*m - 44*m = -99802. Solve 80 = m*y - 298*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -839382, -3357522, -7554424, -13430088, -20984514, -30217702?\n\"Answer: -839381*z**2 + 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 77287?\nAnswer: 77286.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64524)\/12915 - (3 - (-72)\/(-21)). Let p = v + 436\/41. Find the common denominator of -91\/30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 283.59342s?\nAnswer: 0.00328233125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + 6. Solve 0 = -4*l - 2 - j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-5))*p**3)**2\/((p**1\/p)**(-38)\/(p**(-8)*p*p*p\/(p**(-5\/2)*p))) assuming p is positive.\nAnswer: p**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 53, 109, 187?\n\"Answer: 11*t**2 + t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.24 - -0.76. Let t = -6 + 1. Which is the second biggest value? (a) t (b) x (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 + 5*h. Let z(g) = 2*g + 2*g + 15*g - 20*g**2 - 5*g. Let l(u) = -14*n(u) + 5*z(u). Let j(s) = -24*s**2. Calculate j(l(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 27 = 3*d, -3*s - 2*s + 4*d = -26. Differentiate 2*r**2 - 3*r**2 + s - 7 wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 - -2.06. Let d = j + 0.66. What is the second biggest value in 42\/11, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75861470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 240, -2 in ascending order.\nAnswer: -59, -2, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s)\/((s**(-4\/3)\/s)\/s)*s*s**(-13\/5)*s*s**16*s assuming s is positive.\nAnswer: s**(341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195164 + -195163. Let g = -3 + 5. Which is the smallest value? (a) x (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from ykpwpeo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19594080 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62.115 - 1703.045. Let d = -1736 - q. Round d to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114172, 456670, 1027500, 1826662, 2854156?\nAnswer: 4109982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) -161 (b) -17 (c) -1\/2 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64399 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*k**2 + 5*f**2*k - 27980515*f**2 - 6*f*k**2 - 15582742*f*k + k wrt f.\nAnswer: 4*k**2 + 10*k - 55961030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*((0 + sqrt(1872) + 4 + 4 + sqrt(1872) + sqrt(1872)*-5*-2)*-1)**2.\nAnswer: -1078525 - 9216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-17 + 20)\/(-5 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 15, -3*r - 2 = -v - 14. Let k be 9\/2*8\/(-12). Let o be 170\/8*k*32\/72. Which is greater: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289524 divided by 822381?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/12)\/((-4)\/(-16)))\/(20\/2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.039, 0.3, -12?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1082 - -1110. Calculate the remainder when 1566 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -159, -112, -65, -18, 29?\n\"Answer: 47*l - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 26*q - 4*q + 2*q.\nAnswer: -28*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 624*n**2 + 2*n - 2. Let p be d(1). Suppose f - p = -2*f. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.3*5.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246767534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:39 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44179, -44169, -44147, -44107, -44043?\n\"Answer: k**3 + 3*k - 44183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047569 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2 (base 14) in base 4?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 18 = 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - 12?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.6 + 183.6. Let n = 126.00000319 - i. Round n to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -9*u**4\/4 + 6*u + 11. Find the first derivative of f(j) wrt j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.2 - 17. Let h be 1\/(-3) + (55\/15 - 7). Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -e441a?\nAnswer: -e4416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -20450304 less than or equal to -20450309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26969, -215811, -728385, -1726559, -3372201, -5827179, -9253361?\nAnswer: -13812615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 8. Let c be y(-7). Let i(b) = -16 + 3*b**2 + 6*b**2 + c. Calculate the least common multiple of i(-1) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 251624190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 135. Let j be (1\/d*-6)\/((-18)\/12). Is 1 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3981 = 5*z - 4664, 5*z = -o + 8627. What are the prime factors of z?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.158001 - 1.11.\nAnswer: -1.268001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 + q - 5. Let x be m(5). Let z = x + 136. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*j - 1 - 1 = 0, s = -j + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100640871 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -42 (b) -17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Let t(d) = 2*d + 1. Let b(r) = -2*r - 1. What is m*b(v) + 6*t(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**2 - 4*f**2 - 6*f**2 + 0*f**2 - 2 to the form i*f**2 + o*f + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*v**2 + 3*b*v - 1271*b - 5*v - 1 wrt v.\nAnswer: -4*b*v + 3*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5*g**5 - 5 + (2*g**4 - g**4 - 2*g**4)*(2*g + 0*g - 3*g) + 6*g**5 - 3*g**5 - 5*g**5.\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1997*r + 2011*r - 3973*r = 210 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7196, 14393, 21590, 28787, 35984, 43181?\n\"Answer: 7197*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 952 - 1867. Let u = 1305 + q. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162552352, -162552354, -162552370, -162552406, -162552468, -162552562, -162552694?\nAnswer: -162552870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 12, 27, 46?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -158 + 139 + (6 - 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11235015.\nAnswer: 3, 5, 11, 22697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2*o - 2. Let d be t(2). Let z be 83\/(-3) - 2\/d. Let j = -18 - z. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + u - 5*u - 10 = 0, 0 = a - 3*u - 2. Suppose 5*r = 5*i + 55, -a*r - 7 = -4*r - i. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 37*x**4 - 2*x + 8*x**4 - 33*x**4 as t*x + p*x**3 + u*x**2 + k*x**4 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*z = 788, -2*h - 5*z + 318 + 68 = 0. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 + 2476171.7218.\nAnswer: 2476121.7218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*p - 2. Suppose -p*v + 7 + 21 = -5*o, -v + 4*o + 18 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11235612*n**3 + 2*n**2 - 27*n + 18015.\nAnswer: -67413672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (444 + 22*d**2 + 8*d**2 - 32*d**2)*(-3 + 2*d - 3 + 2 + (2*d + 1 - 1)*(-1 + 2 + 0)) to the form n*d + l + i*d**2 + k*d**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208.61 + 207. Let j = o + -0.69. Let k = j - -2.7. Which is the fourth smallest value? (a) k (b) -3 (c) -0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 985835*p**2 - 1644723 with respect to p.\nAnswer: 1971670*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 11*a - 8. Let x be l(10). Solve 1 + x = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + y = -16, -3*d = -2*d + y. Let k(x) = -x**2 + 8*x - 6. Let h be k(6). Let t be (-6)\/((1 - 2)*1). Solve -h = -d*a + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1310044 - 2?\nAnswer: 1310042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -288\/130519 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.13, -14, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126345?\nAnswer: 3, 5, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 7*a - 11. Let g(t) = t**2 + 3*t + 5. Calculate 6*c(m) + 13*g(m).\nAnswer: m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131430 and 118624?\nAnswer: 23131680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 3. Let b be f(0). Let n(s) = s**3 + 2*s**2 + 1. Let w be n(b). Let y be (-6)\/28 - w\/(-28). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ububbb. Give prob of sequence uu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1)\/(4\/4). Suppose 4*u + 72 = 2*j - 0*u, i = -2*j - 5*u + 72. Let t = j - -16. Calculate the greatest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/168*24 - (-8)\/(-14). Solve h = w + 2*i - 1, w - 2*i = -3*i + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {l: 1, r: 6, i: 1, z: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -13*n + 238. Suppose 196 + n = 5*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*y + 520*y + 531*y - 44572 + 11644 = 0 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12141240 + -2211?\nAnswer: 12134024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, 2, 1, -1, -4 in increasing order.\nAnswer: -4, -1, 1, 2, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -46341413 = -46341413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -16*r**7\/105 - 11*r**3\/6 + 34*r**2. Differentiate y(p) with respect to p.\nAnswer: -128*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1512343679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, 0, 10, -2, 3 in descending order.\nAnswer: 10, 3, 0, -2, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1281 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2904) + sqrt(2904))\/(sqrt(108) + sqrt(108) + sqrt(108)*2) - -1*(2 + sqrt(18) + 2*sqrt(8)\/sqrt(4)).\nAnswer: 2 + 41*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {k: 2, l: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(5824\/(-912)) - (6 + (-6 - -4))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366 divided by -1.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/12)\/((-2)\/(-8)). Let j(r) = 38*r**2 + 2*r - 2. Let x be j(n). Calculate the greatest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 3*f**2 + 5. Let h(a) = 8*a**3 + 17 - 11 - 3*a**2 - 6*a**3. Let b = -873 - -879. Determine b*x(v) - 5*h(v).\nAnswer: 2*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 12 + -5 + -2 + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/11 - 31413600*m\/11 - 2855782 = 0 for m.\nAnswer: -1, 15706801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105\/4*z**3 + 0 - 25\/4*z**5 + 95\/2*z**4 - 20*z - 95\/2*z**2 = 0.\nAnswer: -1, -2\/5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317318506.\nAnswer: 2, 19, 233, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09653 times -5\nAnswer: 0.48265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048898054?\nAnswer: 2, 3, 7, 467, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -49*w - 510. What is the least common multiple of d(-12) and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -0.1 (c) 3 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 30, 3, -0.3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 - 51 = 0. Let y be ((-4)\/5)\/(1\/(-5)). Suppose -5*d + 6 = -2*m, w = 2*d - 6*d - y*m. Is -2 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - -158. Let o = -184.1 + t. Round o to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -50.65\nAnswer: 202.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 9*m - 14*m - 31549985, 2*o = -10. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 15*b**2 + 17*b + 29. Determine p(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 3, m: 1, y: 13}.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (44484\/(-18198))\/(0 - (-3)\/(-54))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*10\/50*0. Let l(h) be the first derivative of -1\/3*h**3 - 27 + u*h**2 + 0*h. Let w(s) = 26*s**2. Give w(l(f)).\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/3*(-60)\/(-80). Let x(i) = -64*i**2 - 14*i + 2. Let u be x(n). Is -228 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -3. Suppose 2 = -u*x + 4*x. Suppose x*l - 24 = -l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -384105\/292 or -1315?\nAnswer: -1315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = a - 15, -5*l - 14709*a + 14713*a - 21 = 0. Factor 2\/9*n**l + 0*n - 8\/9 + 2\/3*n**2.\nAnswer: 2*(n - 1)*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = 8, 30 = -m + 4*n. List the prime factors of (-30)\/(-14) + 2\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2254*-0.17\nAnswer: 383.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-2))\/((-1)\/2). Suppose 5*i + 28 = i. Let t = i - -8. Solve p - j*p = -t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 + 23*w - 8. Let i be x(4). Solve -m = -0*g - 5*g - 4, -i*g = 3*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1222.47*39.\nAnswer: -47676.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-12))\/(2\/(-12)). Suppose 3*d - q = d. Let v be -1 - ((5 - d) + -2). Which is bigger: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -43 in descending order.\nAnswer: 5, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/40673 and 65\/8.\nAnswer: 325384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)\/o**(-6\/7) assuming o is positive.\nAnswer: o**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/2 of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*z**5 + 275807*z**4 + 19444*z**2 + 208*z - 8?\nAnswer: 720*z**2 + 6619368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23340990 a multiple of 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146160365 and 1040.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 8*g - 10*g + 23, -2*f + 3*g - 7 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 41*m**2 + 34*m + 240. Let d be h(40). Suppose w = -7 + 1. Let i be (2\/5)\/(w\/(-20)). Is d != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 31. What is the remainder when 23 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 16. What is the remainder when ((-1)\/(3\/57))\/r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or -121?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmzczvowwczomo. Give prob of sequence mwcm.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238380.\nAnswer: 2, 3, 5, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7166340 divided by -23?\nAnswer: 311580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*k - o, k - 5*o - 10 - 9 = 0. Let s be (3 + -1)*2\/4. Let i be 2*(k - -2)*s. What is the highest common factor of 8 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -344232, -344231, -344230, -344229, -344228, -344227?\n\"Answer: z - 344233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/255 and -64\/561.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 1. Let m(l) = -7 - 110*l**3 + 106*l**3 + 8 - l**2 + 4*l + 1. What is -m(o) - 2*z(o)?\nAnswer: 2*o**3 + o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/3, 5, -2, 1.75, 1 in increasing order.\nAnswer: -2, -1\/3, 2\/5, 1, 1.75, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) - (sqrt(441) + 2*sqrt(441)))\/sqrt(9))\/((sqrt(21)*2)\/sqrt(3)) + (sqrt(84)*3)\/sqrt(12) + (sqrt(252) + 0 + sqrt(252))**2.\nAnswer: 2*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1441*l. Let r(v) = -2406*v**2 - 7*v. Determine r(b(z)).\nAnswer: -4996013286*z**2 + 10087*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.9 - 10. Let z be 2\/2 - (-2)\/(-4). Which is the biggest value? (a) z (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7022 - 564*t + 7022)*(t**2 - 63*t**3 + t**2 - 3*t**2) in the form a*t + x*t**4 + g*t**2 + c*t**3 + r and give x.\nAnswer: 35532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/14)\/3 - (-33)\/(-21). What is the second smallest value in -0.01, 0.2, g?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51813.\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16116735?\nAnswer: 3, 5, 59, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + 202 + -381 + (4 - 1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13507*c**2. Let n(q) = -11*q**2. Give n(x(r)).\nAnswer: -2006829539*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n - 4. Let x(m) = 6*m + 3. Suppose 2*g + 0*g = -6. Suppose 2*d - 5 = -3*p, 2*p - 4*p - 3*d = -5. Let j = p - g. Calculate j*w(a) + 5*x(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 14) to base 8\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/4 + 5*z**3\/6 - 3*z**2\/2 - 2*z. What is the remainder when s(-5) is divided by 112 + -104 - (-2 - -3)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125672*p + 2 - 249507*p + 125019*p)*(0*p + p - 2*p).\nAnswer: -1184*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 58\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.2389203?\nAnswer: 1.1946015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -75*d + 520. Let k be v(50). Round k to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 y when four letters picked without replacement from tpcsttstystytys.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3. Let w(p) = 9*p - 146. Let f be w(16). Let m(v) = v + 2. Give f*s(y) - 3*m(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 11*l**2 + 3142*l - 31309. Calculate b(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4624 and 27455.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + t - 9, -34 = -3*m - 4*t - 13. Suppose -m*y + 17 = -7. What is the lowest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40607 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2843, -2586, -2331, -2078, -1827, -1578, -1331?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -34?\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7756 - -7753. Let y(g) = g**2 - 16*g + 4. Let w be y(16). Put w, -0.3, m, 1 in decreasing order.\nAnswer: w, 1, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2\/21 (c) 34\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1113523 and 5552.\nAnswer: 17816368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2566 + 2562. Which is the nearest to -0.1? (a) i (b) 2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:28 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*l - 2*w + 4*w, -3*l + 13 = w. Suppose -k + 2*s = -1797, 7233 = l*k - 2*s + 3*s. Let u = -3617 + k. Round u to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/6 - 2\/(-6). Suppose -b + 1 + 3 = 0. Let u be 17 + -24 - ((-4)\/10 - (-90)\/(-25)). Put n, b, u in descending order.\nAnswer: b, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4)*(-8)\/24. Is i >= -2\/1005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v - 43. What is the units digit of t(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319 and 522?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 + b**4\/12 - 2*b**3\/3 - 644*b**2. Let p(c) = -c**3 + 3*c - 5. Suppose 0 = 2*l + 2 + 2. Give l*p(g) + 3*i(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 10*d - 11. Let z be j(-8). Let r = z + -1. Let i be 2\/(((-2)\/(-3))\/(-1)). Put r, 0, i in descending order.\nAnswer: r, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.14*-26.49.\nAnswer: 2175.8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from fssffs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107397478 to the nearest integer?\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9 = 5*s - 10, -20*s - 2*z = -9820 + 9764 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + x**2 + 2*x + 1. Let k be g(-1). Let o be ((1 + k)\/3)\/(-1). Suppose v + 2*v - 1440 = o. Round v to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1152526031 and -0.057.\nAnswer: 1152526030.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6589 (base 12) to base 2.\nAnswer: 10101110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 51498*j**2 - 24*j - 40. Let h be k(-10). What is h rounded to the nearest 100000?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 12. What is l(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 315?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 + -234. Let c(j) be the third derivative of -1\/12*j**5 + 0 + 0*j + 1\/3*j**3 + 3*j**2 + b*j**4. Differentiate c(t) wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.787 + -31.787. What is the closest to 0.1 in -2, 0, f, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 7*i**3 - 4*i**3 - 72*i**2 + 150*i**2 - 78*i**2.\nAnswer: 3*i**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j - 5*y + 8, -5*j - 2*y = -45. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 2061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 48 = 4*c, o - 12*c - 9 = -14*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3*r = 4 - 7, -3*u = -r + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 - (-53 + 47).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280.70745 + 280.7. Round r to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 14. What is the units digit of 53 + 1 - 30\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/1005, -1, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -837.\nAnswer: 251.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (4 + 7 - 0 - -2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -4, -9, -6, 11, 48?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5) + ((-1254)\/5)\/(-3). Suppose -23 = -o + t. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 6. Suppose -3*c + 10 = f, -c = 2*c - v. Suppose 16 + f = 4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 9. Let v be 4 + 3\/6*-2. Suppose n - v*n = 16. What is the units digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 43. Let j be 2\/(-7) + (-19)\/x. Sort 3, 0.3, -0.2, j.\nAnswer: -0.2, j, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-1 - sqrt(68))*5 + sqrt(68))\/(sqrt(16)\/sqrt(4)*6 - sqrt(4)))**2.\nAnswer: 1377\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.9988 rounded to 1 decimal place?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 61*g**2 + 2*g + 3. Calculate the remainder when n(-1) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose w*d + 30 = 5*v - 2*d, v + 18 = -4*d. Suppose 5*n - 22 = v*h, -5*h = 4*n - 3 - 41. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**4 - 3*m**2 - 7*m. Let p(r) = r**4 + r**2 + r. Let q(f) = -3*k(f) - 21*p(f). What is the third derivative of q(v) wrt v?\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7625 - 7603. Solve -3*r + 18*h - 35 = k*h, -45 = 5*r + 4*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgplpgwmd. What is prob of sequence gg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -283*q - 1296. Calculate o(-5).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.58 + 35.68. Let v = -4 + 6. Let w be ((v\/(-4))\/(-1))\/(-1). What is the third smallest value in i, w, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/7 - (-8)\/(-14). Which is greater: c or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125555010788\/165 - 8366361315\/11. Let t = y - 361139. Let m = t - 210\/11. Which is bigger: -1\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - o + 2*o - o**2 + 3*o**2 in the form a*o**2 + p + u*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 99*m + 1. Let g be z(3). Suppose -k - g = -5*b, 1 = 2*k - 3. Suppose c + c - 48 = 0. What is the greatest common divisor of b and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f + 5. Let g(d) be the first derivative of -d + 2. Let l be (6 - (4 + 6\/(-4)*-2))*6. What is l*g(b) - t(b)?\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -3. Let w = 35656.3 + -35656. What is the nearest to d in w, -2\/17, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 12 + 3. Let w be (x - 1) + 8279988\/6. What is w rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3*j**2 + 3*j - 2. Let h(s) = 6*s + 4. Let t(d) = -3*h(d) + 4*u(d). Let m(z) = -4*z**2. What is t(m(o))?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011313 (base 4) in base 7?\nAnswer: -16015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20640*j*t + 4079*t + 2 wrt j?\nAnswer: 20640*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15914?\nAnswer: 2, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 57*k**2 - 185*k. Let d(s) = -54*s**2 + 184*s. Let g(o) = 2*c(o) + 3*d(o). Find the second derivative of g(q) wrt q.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + 12. Let y be (c\/(-50))\/(4\/(-60)). Solve -3\/5*u**2 + 0 + y*u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695265 to the power of 1\/2, to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 1 + 3 + 68.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -469*j**2 + 1442*j + 384. What is the derivative of y(x) wrt x?\nAnswer: -938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -66*g - 31. Is p(-37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -39*c**3 - 18*c**2 - 48*c - 6. Let y(k) = -38*k**3 - 19*k**2 - 56*k - 7. Give 7*d(b) - 6*y(b).\nAnswer: -45*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 2. Let x = 70\/79 + -332\/553. Let d = -29 - -88\/3. What is the closest to d in u, 6\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67026.\nAnswer: 2, 3, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*f**2 - 35*f**2 - 48*f**2 - 27*f**2 - 68*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b*j**5 + b*j**2 + 40*j**6 - 914*j wrt j.\nAnswer: 780*b*j**2 + 4800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 4*p - 23. Let g be a(5). Let k(b) = b**3 - 8*b**2 + 8*b - 1. Give k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c56b (base 16) in base 8?\nAnswer: -542553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 114 - 22. Suppose d = -6*f - 22. Let o be (50\/f - 0)*(-6)\/4. Solve -3*c - r = r + 4, o*r - 9 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95473.3m in nanometers?\nAnswer: 95473300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 71*n**4\/12 + 2*n**3\/3 - 2*n**2 + 4647*n. Let o(p) = 142*p**2 + 7*p - 7. Give 4*o(j) - 7*t(j).\nAnswer: 71*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**4\/24 + 7*y**3\/6 + 2*y**2. Let j be x(4). Let c be (5\/j)\/(3\/(-9)). Put c, -2, 4 in decreasing order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, 0, -60, 15, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**4))**(3\/2) assuming o is positive.\nAnswer: o**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 17*k**2 - 8*k + 4. Let r be i(9). Let b(l) = -3*l + 41. Let p be b(r). Suppose -99 = -p*t - t. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -665086*k**2*o**2 + 4*k**2 + 9092*k*o**2 + 3*k*o + 9*o**2 - o wrt k?\nAnswer: -1330172*o**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443599251 at most as big as 443599249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 21*c - 8 + 2 - 15*c**2 + c**3 - 3.\nAnswer: -3*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*b - 3*m = 311*b - 68164, -b - 10*m = -34133. List the prime factors of b.\nAnswer: 13, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhlrqmvr. Give prob of sequence rl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from etzpe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37954850 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 0*l + 32 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 6*k**2 - 7*k. Let q be i(7). Suppose g + q*g + 3 = 0. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*k - 76665 = -112287 - 101108. Solve -553*x = -k*x - 60 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19715*g**4 + 4923*g**2 + 430948684 wrt g?\nAnswer: -78860*g**3 + 9846*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3085 + 10277. What are the prime factors of t?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 17. Let z be s(-5). Let d(l) = l**3 - 16*l + 10*l - 4*l**2 + z*l - 7. Let k be (5\/(-3))\/(3\/(-9)). What is d(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 534\/(-4)*1\/6 and 8\/(-88)*-2 + (-1743)\/330?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -15*j**3 + 9*j**2 - 20*j - 24. Calculate b(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 344?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2260 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(-78 + 78 - 5*u) + (12 + 3 - 4)*(-2*u + 10 - 10) to y + g*u and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1716b (base 16) to base 9\nAnswer: -153648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23265553 + -7?\nAnswer: -23265562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/6 - w**3\/3 - w**2 + 14*w. Determine x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 + 64443 - 64443 - 18*f**3 - 2*f**2 as r*f**2 + p*f**3 + o + w*f**4 + z*f and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let a be (-17 + 5)\/(9\/(-6)). Let y = 35 - a. Solve -b*g = g + 9, -5*g = -4*d + y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20010111 - 12131?\nAnswer: 13331320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4004.872 from 55734.\nAnswer: 51729.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2975)\/714 - (-5)\/((-5)\/(-3)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 35794*v**3 - 36234*v**3 + 70688*v**3 + v**2 + 2*v**2.\nAnswer: -1340*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.1 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10\/3))**(-2\/9)\/(d**(-8))**(1\/7) assuming d is positive.\nAnswer: d**(356\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134122 by 2.\nAnswer: 67061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/18 and -77\/30960.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 4. Let o be h(-4). Let y(z) be the second derivative of -z**3\/6 + 19*z**2\/2 + 32*z. What are the prime factors of y(o)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 13*g + 8. Give l(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 56. Suppose q*r + 180 = 31*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 13*y**2 - 4*y - 32. Let j be c(-13). Suppose 6*h + j = 2*h, 4*u - h = 13. Does 12 divide (-2)\/(u\/(-65)) + 2\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11222446*f**3*l**2 + 7947872*f**3 + 20*f*l**2 - 7*f*l wrt l?\nAnswer: -22444892*f**3 + 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00607 times 184?\nAnswer: 1.11688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*(-400)\/2280 - -19.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*n + 3*n. Suppose -72 = -4*f - 4*g, -n*g + 0 = 10. Solve 2*x - 10 = -c, 3*c + 0*c + f = 4*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 15 = 4*l. Solve -u = l*s - 0*s, 0 = 2*u + 3*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from ttrmtttmrrrtmm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1746064 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109327 and 16?\nAnswer: 1749232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -15. Let l be 10\/(-95) + (-476520006)\/(-57). Suppose -o*r - l = -r. What is r rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5 - 3*p - 3\/5*p**2.\nAnswer: -3*(p + 2)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 65 + -24 - 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjddbddddddd. What is prob of sequence bj?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79609 is divided by 26302.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*(-105)\/(-70)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 78*y**3 - 15*y**2 - 512*y + 527. Give f(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -212*z - 1. Let a be 6\/(-8) - 1\/4. Is r(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7117 and -19\/99?\nAnswer: 64053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Let o = w + -1. Let j = -0.01 + 0.41. Which is the closest to -2? (a) j (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -232*d**4\/9 - 3110425*d**3\/9 - 2077853*d**2\/3 - 3136771*d\/9 - 13405\/9 = 0.\nAnswer: -13405, -1, -1\/232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2, 4\/15, 37\/4, -5, 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(2 - 25\/12). Let n be 2\/(-9) + 325\/45. Suppose -n*h + x = -5*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8587918m in millimeters?\nAnswer: 858.7918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -210b?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 11*u**2 - 11*u + 2. What is the remainder when 109\/2 + (-2)\/4 is divided by k(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -618*g**2*r**3 + 3*g**2*r**2 - 3*g + 44*r**3 wrt g.\nAnswer: -1236*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 49*l**2 - 14. Let k(y) = -4*y**2 + y - 6. What is j(x) - k(x)?\nAnswer: 53*x**2 - x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 2718, 2, 10 in decreasing order.\nAnswer: 2718, 10, 2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27152 is divided by 460?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -42. Let r be ((-7454)\/6)\/(-1) - h\/18. Suppose -4*i - 4*q = r - 6635, -4*i - q = -5377. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from lpw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 119, 273, 489, 767, 1107?\n\"Answer: 31*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 22486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11975664 and 28760.\nAnswer: 59878320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279264 is divided by 242?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 + 22 = 0. What is the second derivative of -3*y**c + 2*y - 6*y**2 + 6*y**2 wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729 = 4*w + g, 4*g + 67 = 5*w - 860. Let h = w - 176. Solve 0 = -h*b + 5*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14480 + 14477. Which is the nearest to 1? (a) 28\/5 (b) -8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 + 0.42. What is the second smallest value in 0.5, 0.6, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78, -283, -624, -1101, -1714?\n\"Answer: -68*i**2 - i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 369827 and 11.76.\nAnswer: 369838.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let i(j) = -1 + 4*j**2 + 3 - 7*j - 3*j**u. Let t be i(7). Solve 0 = 4*v + 2*r - 8, 16 = t*v + 2*v - 2*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 43. Let s be c(-15). Suppose 0 = -p - 3*p - s*q + 22, 0 = 4*q + 4. Solve 10*b = p*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 4*c**2 - 2*c + 5. Let z = 2 - -6. What is the smallest common multiple of s(2) and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 2*k + 5. Let a(b) = b**2 + b - 4. Let i(h) = 4*a(h) + 3*o(h). Suppose 2*q = 6*q - 4. What is the remainder when i(3) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, f: 1, t: 6, p: 1, a: 1, j: 4}. Give prob of sequence ttat.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 + 3.9. What is the third biggest value in -2\/3, f, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -11*k - 10. Solve k*w - 6 = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.86, 23\/4 in descending order.\nAnswer: 23\/4, -0.86, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 766.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 12645?\nAnswer: -1\/4215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2001307 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 7. Let m = -25597 + 25615. Calculate the lowest common multiple of 3\/6*p - -1 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1582438.6 rounded to the nearest ten thousand?\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/15 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 340 + 318 = 0. Let j be (370\/180 + u)\/(2\/9). What is the smallest value in j, -0.5, -52, 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.91 + -0.09. Let f = 8 + k. Which is the second smallest value? (a) -1 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 5*i = 18*x - 15, -5 = x - 5*i. Solve 0 = -x*q - 4*w + 2, -112*q = -116*q + w - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222615 (base 8) to base 16.\nAnswer: -5258d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 20. Suppose 0 = -2*m + 1 + d. Does 9 divide 2 + (-1 - 0) + m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 8*u**3 - 20*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esexsx. What is prob of picking 1 s and 1 x?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, u: 5, g: 3}. What is prob of sequence cuuu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6259 + 0.9741. Sort 1\/2, b, -11.\nAnswer: -11, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 115. Let g = -35 + 36. Suppose -g = -x + 57. Calculate the remainder when x is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k**(-4))**9 assuming k is positive.\nAnswer: k**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -816 - -816.4. Which is the fifth biggest value? (a) -31 (b) 2\/7 (c) w (d) 0.5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 26. Let a = -22.2 - i. Let l be 2 - ((-1)\/(-2) + 49\/42). Is a > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 35 + 11. Suppose -4*x = -3*d + 2*d + 30, 0 = -u*d - 5*x + 15. Suppose 6*g + 4 = d. Solve q + 0*q = g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 23, 1, 3, -31.\nAnswer: -31, 1, 3, 23, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let i(o) be the first derivative of 41*o**4\/12 - 9*o**2\/2 + o - 223. Let p(q) be the second derivative of i(q). Calculate p(m(d)).\nAnswer: -164*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-25)\/5)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**2 - 2 - y + y. Let t(w) = 5*w**2 + 1. Let n(s) = 5*t(s) + 3*v(s). What is the first derivative of n(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (2 - 15*-7). Let m = 113 - f. Solve m*r = 2*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*u - u**3 - 304*u - 194*u + 172*u.\nAnswer: -u**3 - 568*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**4\/2 - 5*g**3\/3 - 2. Find the third derivative of r(n) wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6038678?\nAnswer: 2, 3019339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188925 to the power of 1\/2, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29930 - -27343.8. What is z rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(112) + -5)*6.\nAnswer: -72 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004039164 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -1. Suppose -v + 4*l + q = 5*l, -4 = -l. Let u(h) = -h + 12. Let r be u(v). Solve -4 = -3*n - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66824542 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 38724.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 223*r + 1226. Let m be j(21). Calculate the highest common factor of m and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let z = 1 + i. Let h = 3 + 8. What is the greatest common divisor of h and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 y, and 1 g when four letters picked without replacement from kxyeykyeygyy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c = -3*c + 687519. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 142590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -z + 21, -3*r + 81 = 2*z. Let x be z\/8 + 3\/(-6). What is the third derivative of 16*i**5 - x*i**2 + i**2 + 11*i**2 + 11*i**2 wrt i?\nAnswer: 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -1050266?\nAnswer: -1050261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, g: 2, h: 1, o: 1}. Give prob of sequence uou.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v - v - v. Let f(m) = 6*m - 3. Let n(y) = 18*y - 8. Let x(d) = -8*f(d) + 3*n(d). Calculate x(w(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2028718.8 seconds?\nAnswer: 563.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, 3, -1, -0.14, 2937?\nAnswer: 2937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 + 0*z**2 + 10*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 50 = 5*j, 5*j + 0*j + 3*d - 70 = 0. Calculate the remainder when 32 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*f + 21, z = 2*z. Suppose -53 - 73 = -f*t. What is the remainder when 71 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -248, -335, -422, -509, -596?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 93 = -99. Round v to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:06 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241621566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306962?\nAnswer: 2, 31, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + -38 + (31 - -57).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49090940 and 917?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 2*h**2 - 3*h + 4. Let c(n) = 6*n**3 - 11*n**2 + 15*n - 21. Let q(d) = 2*c(d) + 11*x(d). What is the units digit of q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:36 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103505569 is divided by 734082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -23.56.\nAnswer: 0.4712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 3725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/240 - u**5\/40 + 5*u**3\/6 - 5*u**2. Let z(p) be the first derivative of r(p). Factor z(v).\nAnswer: -3*v*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 2:15 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -475675 from 0.3.\nAnswer: 475675.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 27995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 11, e: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 14 + 11. Suppose -3*w + 0*w - 5*f + 45 = 0, f - 53 = -t*w. Solve -2*r - 3*r + w = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 70853 - 548. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000879 is divided by 666761?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 594.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33514530943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 6 = 56*m. Let o(u) = -u**3 - 2*u**2 + u + 4. Let w be o(m). Solve -2*j + 16 = 2*j + 2*x, 0 = -w*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(0 - -3) - (4 - 5). Let p(k) = -43*k. Let a be p(v). Suppose -823 = -8*c + a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 9*j - 5*j + 75920, 3*r + 4*j = -227720. What is r rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 5, 1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - d**3 - 6*d**2 + 11*d**2 + 8 - 6*d. Determine k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20120311 (base 4) in base 16?\nAnswer: -8635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*x**3 - 48*a**3*x**2 - a**3 + 50515*a**2*x - a*x**2 - 139987280*x**4 wrt x?\nAnswer: 6*a**3 - 3359694720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -156, -245, -334?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9068 is divided by 162?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -202*i + 211*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 3*y**2 + 3*y**2 - 10*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55\/63 + 4\/9. What is the nearest to l in -0.4, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.01 times -138?\nAnswer: 415.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + s + 16, 2*s = -4*j + 28. Suppose -3*r + j*r = 4*g + 711, -3*r + 5*g + 714 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 25. Let -36*w**2 - 18*w**3 - 11*w**3 - h*w**4 - 12*w - 3*w**5 - 10*w**3 = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 8:50 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109524630?\nAnswer: 2, 3, 5, 1609, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -468.3 + 468. Let r = 0.03 - -5.97. Let o = 2 - 2.2. Sort f, -4, o, r.\nAnswer: -4, f, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87535 is divided by 5833.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (1 - 36 - (174 + -192))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 51\/148?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-5))\/((5715\/(-75) + 75)*(-1)\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12709 and 11098?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2813 is divided by 358?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148 and 168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2133 = 21*g + 663. Calculate the greatest common divisor of 350 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/11 + 8*i**3\/11 - 38*i**2\/11 - 92*i\/11 - 48\/11 = 0. What is i?\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8734.1 and -4.\nAnswer: 34936.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -725719023 divided by 69\nAnswer: -10517667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 10*q - 10. Let k(c) = c**2 - 3*c + 3. Let u(a) = 20*k(a) + 6*p(a). Let x(w) be the second derivative of -w**4\/4 + 2*w. Determine u(x(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = -4*d - 33, -5*z - 3*d = -19. Suppose 26*s = 25*s + z. Suppose 0 = -s*a - x + 455 + 356, a - 171 = 2*x. What are the prime factors of a?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*s - 1. Suppose s*v = 2*v + 32. Let k be v\/84*(-14)\/(-3). What is the biggest value in 4, k, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*s = -198*s - 4634 + 17514 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1328177441?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 486 = 33*z. Let g be 340\/36 + (-12)\/z. What is the greatest common divisor of 324 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/5614 and -55\/60431.\nAnswer: 48465662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008175533 rounded to five decimal places?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36644 or -183224\/5?\nAnswer: -183224\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/17 + (-239)\/8126*122\/5. Sort r, 1\/4, -211, 5.\nAnswer: -211, r, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.2, -1, -3, -6060 in descending order.\nAnswer: 8, 0.2, -1, -3, -6060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t**3 - 19*t + 2. Let v(a) = 56*a**3 + 75*a - 9. Let d(q) = 4*v(q) + 18*x(q). Find the second derivative of d(u) wrt u.\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/7, -0.8, -0.4, -1253, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 165*b**2 - 49)*(-b**2 + 3*b**2 + 0*b**2 + (-4*b + 3*b - b)*(-3 + 3 - b) + 5*b**2 + b**2 - 5*b**2 - b + b + 2*b**2 + 1 - 3*b**2 - 1).\nAnswer: 660*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/27))**(-9\/2))**(-19) assuming d is positive.\nAnswer: d**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = g, g + 5*u = -0*g + 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 23*o + 27*o + 6 = 0, -2*y + 5*o = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/17, -4, -2, 2\/9?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0261 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - -1.12. What is the second smallest value in -5, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.72061 - -1.72061. Let r = 0.8 + -0.3. Which is the second biggest value? (a) -1.99 (b) r (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:14 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 4251 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/4 (c) -0.3 (d) 241\/6 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o + 623967 - 620357 = 0 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 0*h - 20*h + 1 - 23*h as y*h + k and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -183, -400, -595, -774, -943, -1108, -1275?\n\"Answer: -c**3 + 17*c**2 - 261*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216563 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - t + 8 = 0, -5*q + q = -3*t + 33. Let x be (-3)\/q*3*0. Solve -6*z + z = -2*v + 3, -3*v + 12 = x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(215\/(-10) - -3) - 2. Solve -x*b + 5 = -30*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -ba6?\nAnswer: -ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169940 and 319?\nAnswer: 1869340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 49*c - 50*c. Find the third derivative of -c*i**2 + 13*i**5 - 47*i**3 - 14*i**5 + 13*i**3 wrt i.\nAnswer: -60*i**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 + 293. Let w = i - 131.5. Sort w, -11, -0.01.\nAnswer: -11, -0.01, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**2 + 9*f + 1. Let t be j(-7). Let y be (-1 - 1) + 2 + 2. Is ((-6)\/(-9))\/(y\/t) 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 14896413?\nAnswer: 3, 7, 269, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 9. Let k(y) = -y**3 + 21*y**2 - 55*y + 12. Let s be k(18). What is the remainder when 16 is divided by (0 + 5)*s\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 - (-5 + 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82920 and 649860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 3*r**2 + r - 1. Let i be b(3). Suppose -3*a = -w - 6, a + i*a - 6 = 4*w. Suppose z = a*s - 8, 5*s = 3*z + 2*s + 18. Is 0.1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.010393 times -15\nAnswer: -0.155895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -3.6 (c) -39 (d) -1\/3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 31 = -2*c, 0 = -m + 4*m + 15. Let x = 7 - 3. What is the remainder when c is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5396037*i**3 - 16885207 with respect to i.\nAnswer: -16188111*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9*p - 6*p - 15 = 0, 2*p - 10 = 4*i. Solve 11*d + i*d - 55 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490.516 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*j - 631 = 0, 3*k + j = -2*j + 384. Let h = k + -26. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -93\/4. Let o be 521*(-7)\/539 - -7. Let j = o + 23\/231. Which is the closest to 3\/5? (a) t (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 21*f - 66. Let o be u(17). Solve -18 = -5*b + o*b + 4*w, 4*b + w - 5 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 30 = -558 - 16 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/569?\nAnswer: -2\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*n - 225*n - 540 = 249*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/14093 (b) 4 (c) 1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c + 3 = 41*c, 260 = 5*h - 5*c. What is the remainder when h is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.47256471 to three decimal places.\nAnswer: -13.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*u - 216 = 94*u. Let g be (-190)\/(-12) + (-17)\/6 + 3. Calculate the greatest common factor of u and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26668118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.2. Which is the closest to x? (a) -0.05 (b) -2\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1\/3 - 1200\/(-9). Suppose -218 - u = -4*y. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from iiikiooikko.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10437472 is divided by 1007.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 5*i - 1. Let a be h(5). Let o be 9532\/80 + a\/(-4). Let n = 119 - o. Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 22*l**3 - 17*l**2\/2 + 3*l + 64. Is h(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from eeeeheeehhhhuehee?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 27*x + 43. Let y be d(-5). Let k = y - -100. Is 444\/k + (-3)\/(-12)*2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 30. Let v be k(0). Is (16\/40)\/((-1)\/v) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/3)\/(6\/9). Let r be x\/(-4) - 1\/(-4). Solve -r*w - 10 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 11*n**6\/2 + 6*n**3 + 18. Find the third derivative of v(u) wrt u.\nAnswer: 1980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 212*c + 89. Let x be r(-42). Solve 5*o - x*n - 20 = 0, -3*n + 5 = o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53526 and -0.4?\nAnswer: -21410.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:11 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 2642 + 3119 = 11007. What is the lowest common multiple of p and 9?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272\/476*1\/(-36)*7\/7*-2.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 860 and 1755002.\nAnswer: 17550020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471681573.\nAnswer: 3, 11, 107, 133583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Solve -3 = q*g - 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*q - 32, 0*y + 3*q = -y + 12. Let l be 0\/(y\/(3\/2)). Suppose -4*a + 3*o + 233 = l, 4*a + o - 3*o = 234. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 12. Give j(-12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l**3 - 1215*l**2 - 15305*l - 34440 = 0 for l.\nAnswer: -8, -3, 287\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4 + 6. Suppose -5*j = 3*x + 1 - 20, g = j + x. Solve j*c + 7 - 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 113. Let j = -98 - y. Suppose t - 5*t = 2*k + 6, 0 = 2*t + 3*k + j. Sort t, 8, 0.\nAnswer: t, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8*l**3*l)\/(l**(3\/8)\/(l\/(l**(-2)*l)))*(l*l*l**(-2\/37)*l*l*l**(-7))**(2\/185) assuming l is positive.\nAnswer: l**(744297\/54760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = -5*m + 197. Let k = 664\/7 + m. Let q be (-16)\/8 - 12\/(-7). What is the nearest to q in k, -1\/2, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 8*n + 10. Let t be m(-7). Suppose t*x + x = 28. Let h = -9 + x. Put -3, 5\/4, h in decreasing order.\nAnswer: 5\/4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1046887 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6)*(-15)\/5. Let q be 6\/k*(-14)\/21. Is q bigger than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/15 - 11*d**3\/6 - 13*d**2. What is the first derivative of p(v) wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) 0 (d) 15 (e) 21\/208 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5432.3 - -5212. Let q = m - -233. What is q rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108875 is divided by 222?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 189. Suppose l = -w*r + 8*r + 759, 6 = 3*r. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/205664920 and -63\/80?\nAnswer: 411329840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0. Let r = 1382 + -1383.22. Let p = -1.12 - r. Which is the closest to p? (a) -2\/7 (b) 23 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2503, -10150, -22989, -41062, -64411?\n\"Answer: -7*b**3 - 2554*b**2 + 64*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1584 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 64698*p - 6 - 4.\nAnswer: 64698*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -570a + 5?\nAnswer: -5705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 8*q**2 - 2*q + 12. Let r be u(8). Let m be (r - -1)\/(48\/(-32)). Calculate the lowest common multiple of 33\/6*(m - -2) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -822.3 + 822.24889. Let f = n + 0.10105. Let l = -0.05 + f. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 6*h - 8*h - 7*h in the form s*h + i and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152161, 152762, 153763, 155164, 156965?\nAnswer: 159166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24218 is divided by 12108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0.04, -0.5, 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -143, -591, -1337, -2381, -3723?\n\"Answer: -149*z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94466, -188906, -283346, -377786, -472226, -566666?\n\"Answer: -94440*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, x: 9}. Give prob of picking 1 i and 1 x.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -23*z**2 - 4. Let h be q(-2). Let i = -66 - h. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (674*i**2 + 462*i**2 - 266*i**2)*(2 - 2*i - 2)*(i - 4*i + 4*i) as b*i + x*i**2 + d*i**4 + f*i**3 + g and give d.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563054.\nAnswer: 2, 281527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203854 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 1. Let y(m) = 11*m + 10. Let s(c) = -6*d(c) - y(c). Let g = 6 + -9. Let z be ((4 - g) + -4)*-1. Calculate s(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 13. Suppose -5*c + 17 = -c + j, 10*c + 5*j = 45. Sort v, c, 5 in descending order.\nAnswer: v, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31*a**2 + 168*a - 816. Let m(b) = 2*b**2 + 4*b - 3. Let w(n) = 16*m(n) - s(n). Determine h, given that w(h) = 0.\nAnswer: 8, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159169 = 4429*a + 113618 + 7265 + 16691 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13942 is divided by 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 67640439398.\nAnswer: 67640439408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-432)\/(-40))\/(6\/140). Find the common denominator of 21\/4 and 1 + 2 + c\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let l(c) = c**2 - 28*c - 158. Let n be l(34). Suppose -2*z + 84 = 2*q, z + b*q = 5*q + n. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:39 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -43a?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(26\/5265*15). Let a(y) = -285*y + 8. Is a(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135)*-2)\/sqrt(5))\/sqrt(9))**2 + (-1*sqrt(3)*-2 + (sqrt(3) - sqrt(768)))**2 + 1 + 0.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 1 - r**3 + 5*r**2 + 2*r**3 to p + t*r**2 + k*r + o*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and -9231549486052.\nAnswer: -9231549486069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -342*c + 7. Let r(s) = 171*s - 3. Determine 2*g(k) + 5*r(k).\nAnswer: 171*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*28\/(-10)*(-350)\/(-70)*14\/24.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0 - 12*k**2 - 8*k**2 + 6 - 3*k + 19*k**2. Let r be l(-6). Let w(f) = -6*f - 17. What are the prime factors of w(r)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + (2 - -41))\/((-7)\/(-14)). Calculate the highest common divisor of 41 and a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4222*c = -682*c + 60180 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1772\/5 - -366. Let j = -29 + 314\/9. Calculate the common denominator of b and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.01 + -2. Let o = v + 0.29. Let l = -0.435 - -0.635. What is the second biggest value in o, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29145)\/4221 + -1*6\/63.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*f + 5 = -0*h, -h = -5*f - 5. Differentiate -2 + 4*c**4 - 19*c**2 - h + 19*c**2 with respect to c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and 2 + 4 + (-327)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3225 - 885 = 39*i. Calculate the remainder when 66 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -15) + -14 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-672)*116\/145?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 21.\nAnswer: -190\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 less than -0.396?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 7599168.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5767*m + 344332. Calculate s(-60).\nAnswer: -1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 47916, 90, -6, -2\/11 in ascending order.\nAnswer: -6, -0.5, -2\/11, 90, 47916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**41\/o*o*o*o\/o**(-1\/58)*o*(o**(-14))**15 assuming o is positive.\nAnswer: o**(-9627\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -89a776 (base 11) in base 13?\nAnswer: -3b2b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 646054271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/48)\/(66\/(-99)) and -72\/35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:14 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3921\/20 - 196. Let v = -1002752573\/708 + 1416330. Let p = v - 10\/177. Calculate the common denominator of s and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from urruru.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znzankzz. Give prob of picking 1 n, 1 k, and 2 z.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + o + 0)*(-4 + 2 + 1).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005355 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25015 (base 7) to base 2.\nAnswer: -1100110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/47)*b)**(21\/5)\/((b\/((b\/(b\/(b\/(b*(b\/(b\/(((b*b**8)\/b*b)\/b)))\/b))))\/b))\/(b*b\/b**23)) assuming b is positive.\nAnswer: b**(-6021\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 5*s = 1384, 2*m = 5*s - 916. Let c = 50545\/108 + m. Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -2 + 30*(5 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-117)*(-117)\/(-18))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 37, 103, 201, 331?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let p = d + 3. Let u = p + 5. What is the nearest to 2\/7 in 2, -1\/5, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from sssqqqqsqs.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*d = 169*d - 370*d - 39. Sort d, 9, 1, 14 in decreasing order.\nAnswer: 14, 9, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 593 + 378. Suppose 37*w - c = -194. Let t = -32 + 91. Calculate the remainder when t is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 23 = 62 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002475808 rounded to 7 dps?\nAnswer: -0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5598283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 5 + 11 - (8 - 2)) + (-4 - 42)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-138 + 289 - 51)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 391 - 381. Which is the closest to 1? (a) -1\/11 (b) -9 (c) 1\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -11232?\nAnswer: -11236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 3057394\nAnswer: 6114788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -14. Let q be 8 - (0 + 1 - -2). Suppose -7 = -q*u + 4*u. What is the highest common divisor of u and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16946 + -16912. Is s >= 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51004 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 453103711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 505?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2\/17, -0.5, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/5, 14, -2\/37?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -1\/45*u**4 + 0*u**3 - 6*u + 7\/150*u**5 + 0 + 0*u**2 - 1\/45*u**6. Factor s(n).\nAnswer: -2*n**2*(n - 1)*(5*n - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x**3 + 9*x**2 - 2*x + 17. Let z(o) = -5*o**3 - 3*o**2 + o - 6. Let s(a) = -6*k(a) - 17*z(a). Suppose 3*d - 2 = -2*j, -j + d = 2 - 8. Give s(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 107.15. Let f = 3 + x. Let l = 1.25 - f. Which is the second smallest value? (a) l (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(11) + -3 + -3 + sqrt(22)\/sqrt(2))**2.\nAnswer: -207 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 1. Let c be q(-11). Suppose -z = -0*z - 5. Suppose z*b = -v + 75, -b = -4*v + 3*v - c. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*a + 199*a - 640 = 0. What is the remainder when 632 is divided by a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*1*sqrt(504))\/((sqrt(180)\/sqrt(5))\/(-3*(sqrt(2) - sqrt(8)))).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-18) - 4\/18. Suppose -t*c - 7 - 11 = 0. Let h(w) be the first derivative of 13*w**2\/2 + 7*w - 11. Let p(x) = 6*x + 3. Calculate c*p(n) + 4*h(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.21 - -9.21. What is the closest to 1 in u, -2\/3, 0.193?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 4 = 0, 3*m = -5*t + 7. Let f(n) be the second derivative of 2*n + 2\/11*n**t + 0 + 1\/22*n**4 - 5\/33*n**3. Suppose f(s) = 0. Calculate s.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23 and -1029.\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 18 - 3*w**2 - 17. What is m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*m - 21 = 7*k, -21 = -3*k - 3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/9 - 1120192*l\/9 - 124466 = 0.\nAnswer: -1, 560097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11684736 is divided by 415.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 106 + 55*g + 40 + 25 + 22.\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 - 20.979118371\nAnswer: -21.489118371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 10\/3*(-102)\/(-85).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 10*f + 12. Determine u(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -121*y**2 - 22 + 287*y**2 - 167*y**2 - 11*y. Suppose 0 = 3*f - 4*u + 1 + 10, u = -4. Determine q(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25526 - -5?\nAnswer: 25531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*j = -224*j + 36 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9244 - -916. Let v = 182819\/18 - k. What is the common denominator of 67\/22 and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6830732954?\nAnswer: 2, 6761, 505157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 11, b: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**4 - 2*c**2 + 2*c**2)*(-2 + 3 - 2 + (2 + 4 - 5)*(3 - 6 + 2) + 9 + 7 - 12) to the form a*c + q*c**2 + s*c**3 + m*c**4 + y and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48\/5 + -533\/55. Suppose 4*c = 6*c - 4*a - 14, -4*a - 20 = 0. Let d be ((-4)\/(-10))\/((-8)\/(-5)). What is the closest to 0 in d, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364339120 divided by 4.\nAnswer: -91084780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67029)\/(-17) - 6\/255*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 261 - 69 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39556237 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8 + 24. Let s be (-2)\/(c\/10)*-2. What is the third derivative of -27*k**2 - 49*k**6 - k**5 + 54*k**2 + k**s wrt k?\nAnswer: -5880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/((-12825)\/(-1650)) + 64.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 29825*u**2\/2 + 889649913*u\/4 + 889411329.\nAnswer: (u + 4)*(u + 29823)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 13*v**7\/10 + v**5\/30 + v**4\/2 + 2*v**2 - 54*v. Find the third derivative of s(u) wrt u.\nAnswer: 6552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-314)\/(-6) - (-2)\/(-6). Suppose y = 3*y - m. Suppose -5*d + y + 54 = 0. Solve w + w - 4*c = -d, -w - 5 = -c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + i. Let b be y(0). Suppose 3*g = -b*g. Let d(a) = 0*a + g*a**2 - 3*a - 4*a**2. Let o(u) = 11*u**2 + 8*u. Determine 8*d(n) + 3*o(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**4 + 15*v**3 - 36620*v**2 - 2847920 wrt v.\nAnswer: -8*v**3 + 45*v**2 - 73240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6 - (2 + -6)). Let y be (-2)\/2 + (-12)\/9. Let n = -2 - y. Which is the closest to n? (a) 0.5 (b) o (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o**3 + o**2\/2 + 5*o + 631. Let s(w) = -4*w**2 + 2. Determine -2*q(k) + 5*s(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1036 divide 992666978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.478 - -0.278. Which is the closest to 0? (a) 1 (b) h (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10684 divided by 12\nAnswer: 2671\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/46534 and 35\/208.\nAnswer: 4839536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let f be (-3)\/4 + ((-236)\/(-16) - 10). Suppose g*a + 0*s = -f*s - 16, 29 = 2*a - 5*s. Solve -2*i = -v + 4*v + 13, -a*i + v + 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*5*3*(-1 + sqrt(833)*2 - (sqrt(833) - (0 + sqrt(833) - sqrt(833))*-2)))**2.\nAnswer: -28350*sqrt(17) + 1688849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (13 - 3) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220207985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 2. Let k(q) = q**2 - 9*q + 4. Let j be k(8). Let t = -5 - j. Which is the nearest to t? (a) -2 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4535140 (base 7) to base 6.\nAnswer: 20025214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 5*l - 3*l)*(-11*l**3 + 0*l**3 + 22*l**3) - 13*l**2 - 5*l**4 + 13*l**2 to the form g*l**3 + h*l**2 + a*l + f*l**4 + u and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-750)\/(-3700)) + -23.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1625*q. Let d(m) = -m**2 - 7*m + 4. Let v be d(-7). Let y be p(v). What is y rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g + 8. Let m(w) = 3*w**3 + 3*w**g - 2*w + 4*w + 0*w**3 - 4*w**2 - 1. Determine m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8662 is divided by 198?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - 7 - (-83 + 61) - (-4 - -8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 103686897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*l + 3002 + 9514, 4*y + l = 16688. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - m - 96. What is the tens digit of 0 + 1 + 2 + m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-12)\/28*21\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7361, -15456, -23539, -31604, -39645?\nAnswer: -47656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173260154 to the power of 1\/2, to the nearest integer?\nAnswer: 13163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 89 = 69 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -17*v + 30 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91251326 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: Collect the terms in -24319 - 24318 - 163*u**3 - 9*u**3 + 48637.\nAnswer: -172*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3*4\/6) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 18*d**2 - 14*d - 39. Let u be x(-9). Let s = u - 1545. Let f = -1 - -1. Solve f = m - s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:47 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/11, 31497, 1\/6, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41725.\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbaa when four letters picked without replacement from ybbkaxaykakkykb?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51370 is divided by 318?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 - 9894*y + 14220005 = 0.\nAnswer: 1745, 8149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 0.5, -0.01 in descending order.\nAnswer: 0.5, -0.01, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -15 (b) -80 (c) 41 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 505855.\nAnswer: 3035130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 51.5. Sort -4, -2\/7, f, 1\/4 in ascending order.\nAnswer: -4, f, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336336 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t + 96 = 42*t + 21*t. Put 496, -3, -2, t in increasing order.\nAnswer: -3, -2, t, 496","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 9. Let i(j) = 4*j - 3. Let f be i(0). Let t be r(f). Factor 1 + 4*u**4 + 4*u**5 - 1 - 12*u**t - 4*u**2 + 0*u**4 + 8*u.\nAnswer: 4*u*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3128 - 178*y - 3128)*(-2*y - y + y).\nAnswer: 356*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 41*l - 51. Let a(t) = 206*t - 254. Let m(b) = 2*a(b) - 11*x(b). Differentiate m(z) with respect to z.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1130 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 + 3095 = 9*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -4. Let b = q - -13. Let z be (-150)\/(-45)*1\/15. What is the third smallest value in -0.03, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -245 + 244. Is a\/(-6) + 351842\/564 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*u + 356, 54 = 2*m - u - 175. Calculate the greatest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4698.6 less than 3?\nAnswer: 4701.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393117.\nAnswer: 11, 89, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 949, 935, 897, 823, 701?\n\"Answer: -2*x**3 + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 9290938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 576439 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/16 and 37\/200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-38)\/(-3))\/((-2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzsiszswstzz. What is prob of picking 1 s and 1 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*p**3 - 10*n**3*p + 79316*n**3 + 113*n**2*p**3 + 207*n**2*p - p**3 wrt n?\nAnswer: 6*p**3 - 60*p + 475896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1228484689\/910 - -1349983. Calculate the common denominator of i and 10\/819.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5147 + -1980. List the prime factors of s.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 16, -3*n + 1195 + 5041 = 4*y. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))**(-2\/5)*(w\/w**(-2\/3))**(2\/139)*(((w\/((((w\/(w*w*w**0*w*w))\/w)\/w)\/w))\/w)**48)**(-6\/13) assuming w is positive.\nAnswer: w**(-720446\/5421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*r + 14000 = 766*r. What is the remainder when r is divided by 94?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 18. Let p(t) = 9*t + 1. Let j(g) = 8*g + 1. Determine c*j(m) - 5*p(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/7812 and -59\/607947.\nAnswer: 1583093988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 13*d + 24. Let a(g) = -4*g + 8. Let w(i) = 8*a(i) - 3*y(i). Let q(n) = 3*n**2 + 6*n - 7. Calculate -6*q(l) + 5*w(l).\nAnswer: -3*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -854031, -853997, -853975, -853971, -853991, -854041, -854127?\nAnswer: -854255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39148247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*p + p = -259, 5*z - 1330 = 2*p. Calculate the highest common divisor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(-35) + (-44)\/154)\/((-6)\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*a**2 - 21 + 236 - 11*a**4 - 4*a**4 - 7*a**2 wrt a.\nAnswer: -60*a**3 + 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035621 + 14.\nAnswer: 14.035621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/297 or -1?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6184 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223851 is divided by 4386?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2620726 is divided by 1310363.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 0.0736, 2, 8, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, -2\/21, 0.0736, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - -1 - (7 - (-8 + 14)). Suppose -17*o + k + 47 = 0. Solve 3*a + 15 = 2*f, 0 = o*a + f + f + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 7*n + 2*n)*(-4 + 5 + 1)*(n**3 - n**3 + 2*n**4 + 2*n**4 + 4*n - 4*n + (2 - 5 + 1)*(0*n**3 + 0*n**3 - n**4) - 76*n + 76*n + 40*n**4).\nAnswer: -552*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d**3 - d**2 + d + 1. Let i be 50\/14 - ((-195)\/(-35) + -5). Suppose 18 = -3*z - 5*l, -4*l = -i*z - 5*l - 6. Determine o(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + 20\/8. Suppose -12 = -t - 2*t, -k = -t + l. List the prime factors of (-155)\/(-5) - (k - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1604322, -1604279, -1604236?\nAnswer: -1604193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68870 + 78526 = 568*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 215 = -215 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -53*c**2 + 18*c**2 - 19 + c**3 + 16*c**2 + 25*c**2 - 9*c. Let a be d(-7). Suppose 3*f + 4 = 2*t, 0*f + 3*t = 2*f - 4. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*i + 25, -251*i = -3*v - 246*i + 28 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-3))\/(10\/(-1082)). Let x = l + -323. Which is the closest to -1? (a) -2\/7 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43647*0.5\nAnswer: 21823.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 24*q**2 - 122*q - 273. What are the prime factors of s(-26)?\nAnswer: 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5410 = -138*p - 304 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -8, -19, 2 in ascending order.\nAnswer: -19, -8, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178020*c**2 + 59340*c**2 + 59335*c**2 + 19 + 59341*c**2.\nAnswer: -4*c**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1104682342 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7*y*y)\/(y\/(y*y**(-1\/12)\/y)*y*y))\/(y**(2\/9)*y\/y**(-2\/15)) assuming y is positive.\nAnswer: y**(1001\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92829?\nAnswer: 3, 11, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130741 - 84736. Let d = j - -130477. Round d to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + 2*a**4\/3 - a**3 - 5*a**2 + 2*a. Let v be q(7). Which is bigger: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xww when three letters picked without replacement from {w: 7, x: 1, u: 5}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 11652416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - (-4 + -197)) + -4?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.96762758 to four dps.\nAnswer: -0.9676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -51655873 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008307 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 36*k**2 + 74*k - 195. What is the remainder when 94 is divided by v(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + a**2 + 5*a - 5. Let o(t) = 2*t**3 + t**2 + 4*t - 4. Let i(c) = -3*h(c) + 4*o(c). Give i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2 - (7 - 7)). Solve k = v + b - 5, 2 = 5*v - b + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 15. Let a = 10 - y. Suppose i - a = 96. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-848)\/72)\/1 - (-2)\/(-9). Sort 4, -1, -4, q in increasing order.\nAnswer: q, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(0\/1 - 1). Let b(x) = x - 1. Let c be b(o). Suppose -10 = -j - 2*p - c*p, 40 = 4*j - 2*p. What is the remainder when 28 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = 2*h. Let v = h - 2. Let s = -8 - -15. Solve n = v*y + s, 2*y + 2 = -n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 0*h = -4*h - 20, 3*z = 2*h + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v + 13. Let j be t(1). Let i(b) = 4*b**3 - 5*b**2 - 12*b + 14. Is 29 a factor of i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-1 + 1 + -3). Let v(x) = -x**2 + 8*x + 9. Let h be v(j). Suppose h = -3*y + 3*q + 237, -y - 390 = -6*y + 4*q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.16 * 341\nAnswer: -395.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u + 4*q - 21 = -42*u, -28 = 3*u - 5*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 556 = -24*m - 2*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 8, a: 3, v: 1, s: 1}. Give prob of sequence ssse.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -32. Let w be (2 + f)*0*(-7)\/7. Solve 0 = -w*b + b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477499 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: Let w be -18*((-152)\/(-57) - (-2 - -3)*3). What is the third smallest value in w, 1\/2, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6390103.31 minus -0.15?\nAnswer: -6390103.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2243, -4470, -6699, -8930, -11163, -13398, -15635?\n\"Answer: -r**2 - 2224*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = 2*z, 102*c - 103*c = 3*z - 8 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*g + 28, -3*g - 13 = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:02 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 8*r + r. Let q = -20 - r. Let y(o) = -35*o**3 + 6 - 2 + 34*o**3 - 2*o**q + 2*o. Determine y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*g + 3*l, -2*g + 2 = -2*l + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2405 and 27053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357089426.\nAnswer: 2, 178544713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 65.2. What is the biggest value in -0.4, z, -4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 - n + 2. Let j be d(0). Suppose j*b - 5 = -77. Let y be 8\/b - (-1)\/(-9). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + 21 + 12 + -27 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 112\/35)\/(6\/(-15)). Let z = -317 + 534. Suppose -f*b + 153 = -4*o, -3*b + o = b - z. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177694.\nAnswer: 2, 11, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 8. Suppose 2*n + 2*a - 6 = 0, -3*a + 8*a = 3*n + 31. What is the units digit of (-1*r)\/n - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 8*x**2 + 9*x + 3. Let a = -5 - -14. Let y = 18 - a. Let z be w(y). Solve -5*s + 18 - z = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442034, 442091, 442146, 442199, 442250?\nAnswer: 442299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -340?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 303, 1252, 2849, 5094?\n\"Answer: 324*v**2 - 23*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -102. Suppose -2*x + r*z - 19 = z, x + 17 = 4*z. Which is the nearest to -1\/3? (a) x (b) -0.3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -8*m - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242235 - 165837. Let n = b + -276398. What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + b. Suppose -2*d = -4*d + 12. Let v = d + -7. Let q(u) = -u**3 + 6*u + 2*u + 0*u + 150*u**2 - 156*u**2 - 4*u. What is v*q(f) + 4*o(f)?\nAnswer: f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -3*q**2\/2 - 24. Let n(j) = 4*j. Determine n(x(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, i: 2}. Give prob of picking 2 w.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 352, 349, 334, 301, 244, 157, 34?\n\"Answer: -b**3 + 4*b + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 811*j**2 + 681*j - 104496. Calculate d(-810).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - sqrt(168)\/(sqrt(6)\/sqrt(2)))\/(sqrt(288) + sqrt(288) + -2*sqrt(288) + sqrt(288)) - ((-4 + 4*sqrt(63))*-2)**2.\nAnswer: -4096 + 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 4*f**2 + 4*f + 2. Let h be m(5). Suppose 45*d + 8 = h*d. Suppose 12*l - d*l = 288. What is the remainder when 141 is divided by l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 33*a**2 - 7. Let o(z) = 16*z**2 - 3. Suppose 47 = s + 41. Let n(j) = s*q(j) - 14*o(j). Let y(x) = x. What is y(n(i))?\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 214 = -7*o. Let d be (-4)\/440*394 - (-4)\/o. Is -2 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(3)*2*-1.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7367 + -21.\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -k - 19, 3*s - 3*k - k + 56 = 0. Let o(r) = r**2 - r - 2. Is o(s) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 255*f**3 - 3 + 34*f + 253*f**3 - 13 as h*f**3 + a*f**2 + w + i*f and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((0 + sqrt(7))*-4 + -5) + ((sqrt(1400)*-2 - sqrt(1400) - sqrt(1400)) + sqrt(14) + sqrt(14))\/(sqrt(18)*1 - sqrt(2)))**2*-6.\nAnswer: -6450 - 1800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5603 divide 2176087537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 178\/8. Let u(b) = b**2 - 52*b + 213. Let c be u(48). Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(2299))**2 + 0 - (-3 + (sqrt(2299) - (sqrt(2299) + sqrt(2299)*1*2) - sqrt(2299))**2).\nAnswer: -18383 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8618079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttpp when four letters picked without replacement from ttypqpttqtqqttqtqyq.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t - 1. Let v(z) = 1184*z**2 - 86*z - 1. Let g(n) = 3*l(n) + v(n). Factor g(s).\nAnswer: 4*(8*s - 1)*(37*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139352 + -16575. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 15664?\nAnswer: 15661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2450 + 9362 = -155*j - 9558 + 5870 for j.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21624461?\nAnswer: 21624461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 12 = 4*x - 4*x - 6*x + 5*p, 0 = x + p + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -764.71 - -814. Let i = 0.29 - r. Let h = 53 + i. Which is the biggest value? (a) h (b) 0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 + 196. What is the remainder when 39 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 5*q - 2. Let a be d(-8). Suppose -o + a = o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10410148000 to the nearest one million.\nAnswer: -10410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*t**4 + 2328197*t**3 - 29*t**2 - 51*t - 1254?\nAnswer: -504*t + 13969182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -49, 5, 2, -140 in descending order.\nAnswer: 5, 2, 1, -5, -49, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose -44 = -4*a - 8. Calculate the remainder when a is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**1)\/s*s**1*s)**46 assuming s is positive.\nAnswer: s**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2\/7 - 65295*b\/7 - 65298\/7 = 0.\nAnswer: -1, 21766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136644989 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -65. What is the highest common factor of 130 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52875401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 10*u - 1. Let g be s(-9). Suppose -g*c + 6*c + 8 = 0. Put 2, 1, c in descending order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34007 or 34003?\nAnswer: 34003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15056, -29904, -44542, -58970, -73188, -87196?\n\"Answer: 105*s**2 - 15163*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 78 = 9*h. Let z be 3\/2*h\/15. Let s(n) = -n. Let d(b) = -3*b - 2. Determine z*d(q) + 6*s(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s**3 + 3*s**2 + 7*s + 14. Let i(u) = 4*u**3 + u**2 - u - 6. Calculate 5*i(b) - q(b).\nAnswer: 3*b**3 + 2*b**2 - 12*b - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-1 - 2*u + 1) - 4*u + 7*u - 4*u - 3.\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-5)\/(-450)*(-15)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:52 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z - 12. Let f(g) = 2*g**2 - 15*g + 27. Let o be f(5). Sort z, -4, o in increasing order.\nAnswer: z, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100010 - 110111111011001?\nAnswer: -110011010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, 29, -1 in decreasing order.\nAnswer: 29, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 25, 64, 119, 190, 277, 380?\n\"Answer: 8*p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 23*a = -2264. Let c = a + -7014. Round c to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*k = 1744, 68*a = 72*a + k - 1748. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011469 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 - 14 + 5 + 9.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -7, 2, 218 in increasing order.\nAnswer: -13, -7, 2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 518863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 33397\nAnswer: -3\/33397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -68. What is the highest common divisor of 16 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 5*t**2 - 7*t + 7. Determine h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((((-6075)\/(-30))\/(-27))\/(459\/(-36)))\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895073.\nAnswer: 3, 179, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117596154, 235192310, 352788466, 470384622, 587980778?\n\"Answer: 117596156*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 65*r + 85. Calculate s(-8).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 18. Let z be i(-20). Suppose -4*s - a = -z*a - 251, 2*a = 2. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13511*s**2 + 124*s - 13509836 wrt s.\nAnswer: -27022*s + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 23*m - 57. Give r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2632 and 20333140.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - 106. Suppose -3*l - 17 = c. Let b(y) = y**2 - y. Let i(t) = -6*t. Calculate l*b(s) + i(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-814)*(-1)\/(-2)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7250967 - 12760267. Round b to the nearest 10000.\nAnswer: -5510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45618 by -66.\nAnswer: 7603\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (743*r**2 - 32042*r**2 - 2830*r**2)*(-4*r**3 + 3*r**3 + 0*r**3).\nAnswer: 34129*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 5. Let p(a) = 11*a + 10. Let l(v) = -6*p(v) - 13*u(v). Let s(j) = 4*j - 16. Suppose 2*r + 8 = f, 64 = -4*f + 9*r + 92. Give f*l(n) + 5*s(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 16 + 16. Let x = 626 + -628. Sort a, 4, 0, x.\nAnswer: a, x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/44)\/(26\/22). Which is the nearest to -14? (a) -2 (b) 3 (c) p (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 - 1. Let f be x(1). Let j be (-1*3)\/(f\/(-5)). What is the greatest common divisor of j and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*t**3*u**2 + 11*t**3 - 4*t**2*u**2 + 8*t*u**3 - 3*t*u + 2*t - u wrt u?\nAnswer: -382*t**3 - 8*t**2 + 48*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -54*y**2 + 4*y - 13. Let c(h) = -18*h**2 + h - 4. Give 7*c(d) - 2*z(d).\nAnswer: -18*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/927 + 16777\/6489. Factor 2\/7*v**3 - h + 30\/7*v - 2*v**2.\nAnswer: 2*(v - 3)**2*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634*g + 631*g = -60. Let i = -13 + 31. Calculate the least common multiple of i and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*r = -357*r + 806095 + 42425447. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86667, -173285, -259843, -346335, -432755?\n\"Answer: a**3 + 24*a**2 - 86697*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60268223537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(128)*4)**2 - sqrt(64)\/(sqrt(32)\/sqrt(4))))*4.\nAnswer: -8*sqrt(2) + 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.68 + 5.68. Let u = 551\/390 + -1\/78. Put z, -1, u, -0.2 in decreasing order.\nAnswer: z, u, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -14) + -2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 8) to base 14.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11498463 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*t + 473*t = -k + 2, 2*t = 2*k. Let s(w) = 81*w**3 + w**2 - 1. Calculate s(t).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21)*(-6)\/(18\/(-21)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028230864 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7}. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 58 = 3*z. Let y(r) = 2*r**2 + 22*r + 2. Let x be y(z). Let h(q) = 3*q**2 - 3. Does 9 divide h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:26 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, -8, 31, 2\/5 in decreasing order.\nAnswer: 31, 2\/5, -0.2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1142680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00573334619 to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12. Suppose 4 + t = -4*a. Suppose -4 = 5*w + 6. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.74 + -70.74. Let b = -69.9 - u. Are -4\/5 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/19*3519978\/58947?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1292248, 1292250, 1292252, 1292254?\n\"Answer: 2*o + 1292246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9)*6\/14. Let k = -12.7 - 4.3. Let z = 22 + k. What is the third biggest value in o, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**3*k**3*m**3 + 17*d**3*k**3 - 34*d**2*k**2 - 2*d**2*k*m**2 + 6*d*k**3 + k**2*m**3 wrt d?\nAnswer: 36*k**3*m**3 + 102*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 4*s**2 - 7*s - 5. Let k be d(-5). Suppose k*h - 3 = 12. Suppose 0 = -2*u + h - 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 337861800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 3. Suppose 4*v = 3*o - v - 11, 3*o = 2*v + 8. Calculate the remainder when d is divided by o\/(-6) - 465\/(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 386325 and 372690.\nAnswer: 31678650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 4:30 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - c + 3*c + 2*c.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/4)*f*f\/f**(2\/5))\/((f\/(f**(-8)*f))\/((f\/(f\/f**(-1\/4)*f*f)*f)\/f)) assuming f is positive.\nAnswer: f**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 6. Solve -2*u = u + w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582354 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 303763*g + 12452602.\nAnswer: (g - 303722)*(g - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8049 + 2.09.\nAnswer: -8046.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -13*u**2 + 5\/24*u**4 + 0*u**3 + 0 + 0*u. Let i(z) be the second derivative of z**4\/6 + z. Give p(i(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:18 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 5. Let m be s(7). Let r be (-2)\/(-1) - (m - 1). Let c be -1 - (2 - (-21)\/r). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -221, -223, -225, -227, -229, -231?\n\"Answer: -2*j - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/45, -2, 0.3, 4, 2 in descending order.\nAnswer: 4, 2, 0.3, -1\/45, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/(-10) - -5)\/(4\/(-1871710)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 10, o - 8 = -v + 2*v. Suppose t - o*k - 57 = -6*k, 2*t - 164 = 4*k. Suppose -2*s - 27 + t = w, -s + 45 = w. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - v + 4*v + (-4 + 5 + 25)*(-v + 3*v + 0*v) + 3*v - 3*v + v + (6*v - 3*v - 2*v)*(-1 + 1 + 2) - 2*v + 0*v + 4*v in the form d*v + s and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 236, 245, 256, 269, 284, 301?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/6*d + 4\/3*d**2 - 1\/6*d**3 - 7\/3 = 0. What is d?\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*m + 3480 = 181*m - 2526 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from kkmkmkkkmkkkmk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:18 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.00637, 0, -0.5, 16\/9, -1, 19?\nAnswer: -0.00637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11675468647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/35707 and 1\/56?\nAnswer: 285656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 7*q - 10. What is the units digit of p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z - 2. Let d(f) = -2*f**2 + 5*f - 5. Let b(i) = 2*d(i) - 5*m(i). Let p(t) = 14*t. Determine b(p(u)).\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebgbbbgbebebbbbbb. Give prob of picking 1 e and 1 b.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166995885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j - 9 + 39 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 0.028, -0.2, -0.006?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 21 + 0 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2 and -65\/10937586.\nAnswer: 10937586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 323 = 73. Let v(f) = -f**3 + 5*f**2 - 5*f + 4. What is the remainder when w is divided by v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 47*n**2 + 40 - 38*n**2.\nAnswer: 9*n**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 5*g**2 + 7*g + 0*g**2. Let y(r) = -r**2 + r**2 + 2*r**2. Determine y(z(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/4 - (-238784)\/(-7696)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/90 - z**4\/24 + 3*z**2. Let o(t) be the second derivative of u(t). Give o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(-2 + 2 - a) + 9*a + 4*a**2 - 9*a + (-2*a - a + 4*a)*(-3*a + 7*a - 2*a) + a**2 + 0*a**2 + a**2 + 0*a**2 + 2*a**2 + 3*a**2 + 2*a.\nAnswer: 12*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 + 0 = 0. Let v = -169 + 174. Sort t, v, 2.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4126144 and 53?\nAnswer: 218685632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-70) - (-1)\/(-2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/4)\/(2\/960). Suppose 200 = 8*d - i. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -12\/5*x**3 + 1\/5*x**5 + 6 + 59\/5*x - 4\/5*x**4 + 22\/5*x**2 = 0?\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11309 - 11252. Are b and 21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 + 110101?\nAnswer: 10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**2 - 30164*b - 150920 = 0.\nAnswer: -5, 7546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -786472.\nAnswer: 786476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 154680.63 and -106464?\nAnswer: 261144.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.2.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -8, 17, -8\/3, -5, 30\/11?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, i: 3, g: 1}. Give prob of sequence iui.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*y + 64, -5*p + y + 59 = -0*y. Let n = p - -10. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 5) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 282, -181, -1054, -2343?\nAnswer: -4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 98 = -5583. What is the remainder when h is divided by 153?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1)**(18\/7)\/(p**(1\/4)\/(p\/(p\/p**(-2))))*(p*p\/(p\/p**(-6)*p))\/(p\/p**(1\/6))*(p**(-1))**(-1\/34) assuming p is positive.\nAnswer: p**(-1847\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*3\/6 + -3. Let z(v) = 8*v**2 + 9*v - 6. Let l(f) be the first derivative of -3*f**3 - 5*f**2 + 7*f + 82. What is c*l(u) - 7*z(u)?\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, f: 2, k: 1, r: 2, x: 1}. What is prob of picking 1 k and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 2*c - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-6)\/84) - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/85 + -2\/17. Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-12) + 9\/54. What is the third derivative of 2*l + 4462*l**3 - 4704*l**3 - l**2 + 0*l**a wrt l?\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8885 is divided by 181?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1689904485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y + 6. Suppose 0 = -43*s + 39*s - 32. Calculate the remainder when s\/12 + 227\/3 is divided by c(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*f - 105, 34 = -5*r + 7*r + 2*f. Suppose r*a - 5655 = 4*a. Let j = a + 90023. Round j to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 7*n**4\/3 + 5*n**3\/6 - 33*n**2. What is the units digit of i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.021 - -0.421. What is the nearest to 1\/2 in 5, w, 33?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*c**2 + 21*c - 340\/3.\nAnswer: (c - 5)*(c + 68)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/1175 and -89\/159800?\nAnswer: 159800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**2 - 13*r**4 + 11*r**4 - 3*r**3 + 3*r**3 wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/120 + 2*u**5\/15 + 5*u**4\/24 - 7*u**2. What is the tens digit of i(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) 807 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.3809 nanoseconds to seconds.\nAnswer: 0.0000006293809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 11*l + 29. Let v be m(-5). Let i(k) = -17*k**2 + 2*k + 1. Determine i(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-4 + 25) - (90 - (-17 + (1 - -4))).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5531 - 5533. Which is the nearest to 1? (a) -0.1 (b) -1\/2 (c) 2\/153 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10090780, -10090782, -10090784, -10090786, -10090788?\nAnswer: -10090790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9300)\/(-50))\/62*4\/((-216)\/14).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-9) + (-4)\/(-6). Suppose -2*o + 17 = h*n, 0 = -5*o + 3*n + 2*n + 60. What is the highest common factor of o and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2203 + 11?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -22*f + 299. What is the second derivative of 14*y**5 + 14*y**5 + y + 3*y**5 + 0*y - f*y**3 + 16 + 22*y**3 wrt y?\nAnswer: 620*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Let h(w) = -w**2 - 10*w + 26. Let p be h(-12). Suppose p*k - r = -1. Solve -4*t - 20 = t, -20 = -4*n + k*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/15)\/(k\/(k*k**(1\/3)\/k)) assuming k is positive.\nAnswer: k**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfcf. Give prob of sequence cffn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**3*y**2 + 3391087*i**3 + 3084*i**2*y**2 + 4701*i*y**2 wrt i.\nAnswer: 24*y**2 + 20346522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5314237, -5314363, -5314489, -5314615, -5314741, -5314867?\n\"Answer: -126*i - 5314111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, j: 3, l: 7, k: 1, a: 2}. What is prob of sequence ma?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 4161239?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14*k = -4*k. Which is the smallest value? (a) k (b) 2 (c) -6.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81\/8 - 575\/56. What is the biggest value in -4, -10, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*1 + (2 - 2). Let m = 2 - -2. Suppose -w*c + 15 = -m*c. Solve 0*r = 2*r + c*j + 27, -r = -5*j - 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -71*r - 13694. Give m(-193).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*l + 1128016 = 0, 6*l - 11*l - 2256020 = -4*i. Round i to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 242*j - 741. Determine c(118).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7466352 divided by 138\nAnswer: -54104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 926775 and 240275.\nAnswer: 6487425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 + 301. Let s be ((-107)\/2)\/((-3)\/(-6)). Let q = s - -261. Calculate the highest common factor of q and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*p = 4*s - 32, 0 = 4*s - 3*p - 24. Suppose 8 = 4*g - 2*g. Put s, 11, g in increasing order.\nAnswer: s, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -13.576 in increasing order.\nAnswer: -13.576, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 358779841 at most as big as 358779842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43514262 to the nearest integer?\nAnswer: 6597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -130. What is the remainder when 46 is divided by (b + 13)\/((-27)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k - 3*x + 5, -2*k - 4*x + 6 = 0. Let b(m) = -m**2 + 9*m + 7. Is b(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 18*t + 2. Let n be k(6). Suppose -a = n*p + 13 - 25, 2*p - 8 = 0. Solve -a*s = 2*m, 3*s - 4*s + 4*m = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-952) + (-3828)\/(-561).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3191 + -1967. What is the greatest common divisor of i and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04555176 and 7.\nAnswer: -0.31886232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*y - 35*y - 78 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 963051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - s)*(132*s + 440*s - 371*s) + (-1 + 1 - 2*s)*(-2*s - 2*s + 2*s) to the form p*s**2 + b*s + z and give p.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38933 is divided by 19465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*i = 12, 0*k + 2*k - 2*i - 6 = 0. Let x be (-5 + (0 - 0))\/((-1)\/k). Solve -t = -4*t + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -9 (c) -1\/12 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4\/4 + 25*h**3\/4 + 141*h**2\/4 - 221*h\/4 - 169\/2 = 0?\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0078 + 1.001943. Round p to 4 dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - ((3 - 0) + -4). Let h(b) = -9*b + 7. Let d(o) = 8*o - 6. Let r(s) = -5*d(s) - 4*h(s). Let a(l) = 3*l - 2. What is f*r(j) + 6*a(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593538 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/5 and -3 + (18\/240)\/(2\/(-168)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.005 - -839.995. Let a = h - 890. Sort 0, a, -2\/5.\nAnswer: a, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -238 + 243. Solve -2*r = -2*z - 6 - 12, s*z = r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -757005*a - 4859872?\nAnswer: -757005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (384\/(-5280))\/(4\/10). Let i = 147 - 442\/3. What is the nearest to 0 in -55, i, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Let q = -0.08128 - 0.01872. Which is the closest to g? (a) -1 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 12*p**2 - 3*p + 3*p.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.802316 nanoseconds to weeks.\nAnswer: 0.00000000000092063875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 - -47 - 13) - (5 - -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843291525, -1686583048, -2529874571, -3373166094?\nAnswer: -4216457617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -30*u + 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by -5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1583746 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -28. Suppose c*b = b + 6. Solve -b*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 16349600*t**2 - 13365487357585*t + 26730909316810.\nAnswer: -5*(t - 1634959)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 c when four letters picked without replacement from {b: 3, o: 3, c: 7, t: 1}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let j(q) = q + 4. Let p be j(0). Solve 4*b - 24 = 5*h, -2*h + p*b + m = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25892, 51769, 77646, 103523?\nAnswer: 129400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + (-4 + 26 - 46)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21992302 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 140, 3, -15, 2 in descending order.\nAnswer: 140, 4, 3, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 2*g**6\/3 - 44*g**5\/5 + 42*g**4 - 256*g**3\/3 + 64*g**2 - 847. What is w in i(w) = 0?\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5434*s**2 + 7*s**3 + s + 5434*s**2 + 20)*(-2 + 2 - s) + 1 - 1 + 3*s**4 to the form r + l*s**3 + c*s + z*s**2 + d*s**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-32)*(-196)\/(-7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -28*z**4 + 5524*z**3 + 15168*z**2 + 6416*z - 3200 = 0.\nAnswer: -2, -1, 2\/7, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:28 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*r + 429, 0*r + r = -5*q + 552. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) 3\/4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242872000 - -94027733. Let l = 148844201.000029 + z. Let s = l - -66. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34079 or -3748671\/110?\nAnswer: -3748671\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 0 (c) 106 (d) -6 (e) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24e56c (base 15) to base 11.\nAnswer: aa9693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. What are the prime factors of a(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 11*n**5\/5 - 25*n**4\/3 - 164*n**3\/3 + 48*n**2 + 3*n + 222. Factor r(d).\nAnswer: 4*(d - 4)*(d + 2)*(11*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 10. Let a = -13 + 16. Let p(d) = -3*d + a*d + 7*d**2 + b*d**2. Let j(w) = -2*w**2. What is p(j(i))?\nAnswer: 52*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9118852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v**2. Suppose 1 = -7*r + 29. Suppose -r*y - a + 70 = -0*a, 8 = 4*a. Let z(b) = -11*b**2 + y*b**2 - 8*b**2. Give s(z(x)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -917 - -921. Determine p so that 0*p + 1\/4*p**3 + 0 + 0*p**2 - 1\/4*p**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125780 = 5*d + 5*l, -4*d = -3*l + 18463 - 119045. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1482761 divided by -3\nAnswer: 1482761\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 + 17 = 4*v, 0 = 2*i + v - 17. Suppose 3*f + i = -11. What is the common denominator of -58\/5 and (f\/(-10))\/(6\/(-76))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06156 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from viixhvxuiiihih.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -13, 1\/23, 1, 400, 5 in decreasing order.\nAnswer: 400, 5, 1, 1\/2, 1\/23, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 7304063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*m - 46 = -120, 4*m = 2*n + 76. Let z be (n\/25)\/((-3)\/2). Sort -1, z, -0.3 in descending order.\nAnswer: z, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*4\/16 + -16. Are n and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -14*g - 60 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.066 - -0.05. Let l = o + -0.502. What is l rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2774 - 106797\/5548. Calculate the common denominator of 20\/9 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 5:53 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 (base 16) in base 5?\nAnswer: -2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:52 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13718082097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 = -3*j, -5*j = -2*v + 49 - 70. Let 8\/5*a + 3 + 1\/5*a**v = 0. What is a?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhrhbffbfohvbv. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -23 - -61) + -32.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 4, 258, -3.\nAnswer: -3, 4, 51, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 492*m**2.\nAnswer: -m**2*(m - 492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.1. Let x = o - 0.9. What is the nearest to x in -0.4, -2, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92134411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1181 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 160749103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykyyyyyyyyykkykyyyy. What is prob of picking 2 k and 2 y?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1693 - -6412. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2726*o**2 - 2 - 6*o + 0*o + 2.\nAnswer: -2726*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3065)\/280 - -10 - (-18)\/48. What is the fourth smallest value in 0.3, 43, a, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z**(-1\/5))))*z*z**(1\/17)*z*(z\/z**1*z)**(-26))\/(z**(-2\/5)*z**(3\/8)*(z\/(z*z*z\/(z*z**(-2\/5))))\/z*z*z**(3\/2)) assuming z is positive.\nAnswer: z**(-3239\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (21 + -9 - 10)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4778399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.1456l to millilitres.\nAnswer: 732145.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3158480*m - 6316953. What is l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8798, 34804, 78018, 138440, 216070, 310908?\n\"Answer: 8604*p**2 + 194*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16980*i*j**2*x**3 + 224*i*j*x**3 + 3*i*j*x**2 - 5*i*j + 92*j**2*x**2 + x**2 - 152*x wrt x.\nAnswer: 101880*i*j**2 + 1344*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 172 + 159 = -2*f, -3*q = -f + 9 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 39 = 5*z + 5*n - 28, 0 = 5*n. Suppose -2*q + 4*q = 28. Calculate the lowest common multiple of z and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3.5. Let k = 0.28 + 0.02. Let o = 2.7 + k. Which is the second smallest value? (a) o (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24840 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34644086068.73 and 3.3.\nAnswer: 34644086072.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -130?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 + 2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10543 and 11.\nAnswer: 115973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:00 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -936 or -923?\nAnswer: -923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose f - m = 5*h - 4*h, 9 = 5*h + 3*f. Let q = 134 + -120. Solve h = 4*v - 2 - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 402*h**2 + 3*h - 880*h**2 - 3*h + 312*h**2.\nAnswer: -166*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5 - 2*s**3 + 3*s**2 + 3*s**3 + s**2. Calculate i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, 1, -404 in increasing order.\nAnswer: -404, -321, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/89, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 201765060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 90*o - 628. What is the tens digit of f(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -4)\/(3 + -5). Suppose -h*a - a = -27. Let c be (3\/2)\/(a\/12). Solve x + z = c - 5, 0 = x + 4*z + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7455 and 18105?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 2, r: 2, j: 1, n: 1, w: 1, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (-4 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161716224 a multiple of 1536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17435 + -9665. What is u rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/21 (b) -88 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/1*(-147)\/490?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1075*s + 62332. What is x(-58)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 156 in -16, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 1120.504936?\nAnswer: -1120.904936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -151, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6684, 6692, 6700, 6708, 6716, 6724?\nAnswer: 6732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3175035417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43695313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-177) + 46\/24.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 + 5*p + 6. Let d be a(6). Suppose l - g = -0*g + 85, 2*l + 4*g - 146 = d. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 8*d - 2. What are the prime factors of w(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -3, 16, 57, 126, 229, 372?\n\"Answer: u**3 + 2*u**2 - 10*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.16 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40505 - 4?\nAnswer: 40501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - (7 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094339?\nAnswer: 3, 13, 83, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 144*i + 157. Calculate v(23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + -2*sqrt(126))\/sqrt(2))\/(sqrt(9) - sqrt(27)\/sqrt(3)*1 - sqrt(9)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/28)\/(45\/20 + -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/8)\/((-8)\/(-32)). Let g be (-195)\/75 + 1 + 1. What is the nearest to c in 3, 1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 22*p**2 - 6*p - 17. Give q(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 34*t + 172. Let g be a(-26). Suppose -g = -2*n + 1018. What are the prime factors of n?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0322819 rounded to 4 dps?\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.745 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*u + 3347 = 17*u + 790 - 825 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**(-2\/21)\/t)\/t))\/t)\/t)\/t**6*(t**1)**1 assuming t is positive.\nAnswer: t**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c + 138. What is g(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 235 (b) -2\/19 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j**3 - 132*j**2 + 2*j + 8. What is z(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-40)\/12*-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*u - 18, -3*u = -3*v + 5*v - 13. Let p(g) be the second derivative of g**3\/3 - g**2\/2 + g. What is the remainder when 17 is divided by p(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1203 (b) 10\/11 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1528177585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4 + (-24)\/480)*(-10)\/(-8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1092457*m**2 - 508245?\nAnswer: 2184914*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5355 and 3960?\nAnswer: 471240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5540698 rounded to the nearest ten thousand?\nAnswer: -5540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(1\/4))\/h)\/h)**(-2\/95)\/(h**(2\/9)\/h*h*h)**42)\/(h**6*(h*h**3*h)\/h*(h**(-2\/9))**20) assuming h is positive.\nAnswer: h**(-19447\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -5, 4, -140.\nAnswer: -140, -13, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 - 67. Let f = u + -21. Let x = f + -67.923. Round x to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 0.3071.\nAnswer: 0.1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 4)*(24 + 235*i + 232*i - 469*i).\nAnswer: 8*i - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -863, -5, 12, -9, 3, -2, -21 in decreasing order.\nAnswer: 12, 3, -2, -5, -9, -21, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, f: 4, s: 4, i: 2, t: 1, j: 2}. What is prob of picking 1 i, 1 f, 1 o, and 1 j?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2380*z - 10780. What is y(-4)?\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -31175, -1 in ascending order.\nAnswer: -31175, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 214846 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -657 (b) -0.1 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(4*w + w - 4*w) + 5 - 5*w - 5 - 5 + 5 - 4*w + 5*w - w - 2*w - 6 + 6 + 3*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 292015*s. Let f(t) = -4*t. Give n(f(m)).\nAnswer: -1168060*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddbbbdbbbdvbbvb. What is prob of picking 2 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2\/7))\/(b*b\/((b**(-7)*b)\/b)*b))\/(b**1)**(-2\/5))\/((b*b**0)**(1\/43)*(b*b\/b**(-4))\/(b*b\/(b**3*b))) assuming b is positive.\nAnswer: b**(-24588\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 + -507 + -33 + 0 + 3 + 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 9834952?\nAnswer: 19669904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/17))\/r)\/r)\/(r*(r**18*r*r)\/r) assuming r is positive.\nAnswer: r**(-356\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -14.2. Let r = -6.8 - q. Let l = r - -8.5. Which is the nearest to 2\/3? (a) 4 (b) -4\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122211021 - -1100?\nAnswer: 1122212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6670 and 7337.\nAnswer: 73370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*m - 118*m - 296*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 11230.006 to the nearest one hundred.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 43*f**2 - 192*f + 11. What is b(4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 7, f: 1, q: 1, z: 6}. What is prob of sequence ttrt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6432 - -1560. Does 64 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/(-4))\/((35\/(-120))\/7) and 46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -73. Is (-1606)\/(-6) + v\/(-75) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233 - 229. Suppose -5*x + 4*q + 4 = 8*q, o*x + 4*q = 4. Solve -3*i + 6*i - 6 = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5904, -9861, -13820, -17781?\nAnswer: -21744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 18*j - 86. Determine i(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1111001001011011101?\nAnswer: -1111001001011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -10*n**2. Let l(s) be the third derivative of 0*s**3 - s**2 + 1\/60*s**5 + 0*s + 0 + 0*s**4. What is l(h(w))?\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -1\/3*o**3 + 0 + 1\/15*o**6 + 0*o**2 - 1\/6*o**4 - 2*o + 1\/10*o**5. Suppose f(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.7 + -32.5. Let g = 138.8 + l. Which is the third biggest value? (a) g (b) -2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-459))\/(-15*2\/3)*6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4350115*t**3 + 746353*t**2?\nAnswer: -26100690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from yqikqyyipqiqitii.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -1149 - 18803. Is o a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let m be (-33)\/6*(-2)\/1. Let o = m - h. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-27)*9\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18))\/(14\/196)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -205, -421, -713, -1081, -1525?\n\"Answer: -38*b**2 - 26*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170824001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 859*k = 855*k + 26, -3*m = 4*k - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -199 - 7?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4206 + 4142. Which is the nearest to -1\/3? (a) -4 (b) -0.02 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 86. Let y be ((-10)\/25)\/o*-5. Suppose -3 = -3*x - 3*a, -x + 1 - y = -a. What is the third biggest value in x, -1, 3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - 10210?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -133, 2\/23983?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8031 + 85.843.\nAnswer: 8116.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 432859330+-0.62553\nAnswer: 432859329.37447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19990899 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1861329*x**2 - 14*x**3 + 1861329*x**2.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.27 rounded to zero dps?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + g = -w + 126, -4*g - 42 = -w. Let l(u) = u - 11. Let b be 8\/(-6)*(-216)\/16. What is the remainder when w is divided by l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 21320 = -17*p. Let q be (-1 - 158\/6)\/(14\/(-21)). What is the greatest common factor of q and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9917 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = -21*h + 62*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 790133, 1580258, 2370377, 3160490, 3950597?\n\"Answer: -3*r**2 + 790134*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 327\/9 + 10\/(-30). What is the highest common divisor of 64 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-90)\/40 + (-1)\/(-4). Let t be (-1 - -6)*(x - 6\/(-3)). Solve -9 - 11 = t*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1)\/((-1)\/(-41)*-1). Is j smaller than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1308, 2615, 3922, 5229, 6536?\n\"Answer: 1307*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 34*q - 131. Calculate the remainder when r(-24) is divided by ((-26)\/8)\/(3\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + sqrt(4032)*2)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 11. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose -3*l + 156 = -n*l - 5*w, 5*l - w - 260 = 0. Suppose 0 = 5*h - l - 183. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/2 - 411*k**2\/2 + 405*k.\nAnswer: 3*k*(k - 135)*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.836928475 rounded to 1 dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**33*(((b\/b**(-3))\/b)\/b)**28 assuming b is positive.\nAnswer: b**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 22*g**2 + 0*g - 92*g**2 + 115*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*x**4 + 78*c**2*x - 2*c**2 - 18*c with respect to x.\nAnswer: -4*c**2*x**3 + 78*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4497323019 and -5.\nAnswer: -4497323024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233\/2 - 116. What is the closest to i in 16, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503408.\nAnswer: 2, 73, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65627993*c - 51136636 wrt c?\nAnswer: 65627993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7610100 and 2788?\nAnswer: 7607312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and -5300148.\nAnswer: -5300179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzvzzzzzzv. Give prob of picking 2 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 - 30 = -5*l. Suppose 3*f - 51 = l. Suppose -o + 11 = -0*o. What is the remainder when f is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + 85c?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (6 - -4) + -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -5.36.\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2445983207 - -2445980863.001129. Let u = r - -2344. What is u rounded to 5 decimal places?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) + 2499\/(-35). Let u be (k\/126)\/((-2)\/(-7)). Let g = 42 + u. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2050 and 121\/59750?\nAnswer: 2449750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13541221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344657 to the power of 1\/2, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4 + 16*r**3 + 22*r**2 - 16*r - 24 = 0.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d - 2. Let w be (-15)\/(-45) + d\/(-6). Let r = 6.1 + -1.1. Which is the third smallest value? (a) w (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314*b**2*g**3 + b**2*g - 129523*b*g**4 + 2*b*g**2 + 107*b*g + 1743*g**2 - 2 wrt g?\nAnswer: 1884*b**2 - 3108552*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -258416387442 minus -206?\nAnswer: -258416387236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*q**2 - 256*q + 396 = 0. Calculate q.\nAnswer: 9\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*j**4 - 32\/3*j**2 + 0*j + 0 - 8*j**3 = 0. Calculate j.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582707.8cm to meters.\nAnswer: 5827.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398213 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g**2 + 7*g + 1. Let j be p(-6). Suppose j = 2*s + 33. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -3. Let k(d) be the third derivative of -d**4\/24 - d**3\/3 + d**2. Let z be k(l). Solve -2*y = 2*y + j - 2, -4*j = -3*y - z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12338, -49281, -110854, -197057, -307890, -443353, -603446?\n\"Answer: -12315*m**2 + 2*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let t be v(-1). Suppose -2*c + 92 = 4*a - 5*c, 4*a + 3*c - 68 = t. Suppose 3*p - 8*p = -a. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5299674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 3137, 7059, 12489, 19421, 27849, 37767?\nAnswer: 49169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1300768866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226\/2 - (25 - 30) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90717757.\nAnswer: 13, 73, 109, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6709540, 6709537, 6709534, 6709531, 6709528?\n\"Answer: -3*z + 6709543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/10 + 9*r\/10 + 4\/5 = 0?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3\/3 + 3*v**2 + 2*v + 1. Suppose -4*k - k = -20. Suppose -k*s = -5*z - 3*s - 21, -5*z = 2*s + 33. Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -7 + 4)*(-63)\/18. Solve 4*s = -4*f, -5*s - k = -12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from qiquqvdduqvvmqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 9. Suppose k - 3 = -0*k, 29 = q*y + 3*k. Solve 0 = -2*x - y - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -44. Suppose 5 = w*t - 7. Solve -2*b - 4 = -o, 3*o = t - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*i = -f + 32, f = 5*i - 31. Let t = 105 - f. Suppose 0 = 53*z - 56*z + 42. What is the greatest common divisor of t and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in 3.6, -0.54, 4, -0.1?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 3:56 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:51 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 944*l - 4726. Give u(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310\/81147 or 1?\nAnswer: -310\/81147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3. Let a = -127 + 128. Let l(n) = n**3 + 1. Determine a*u(d) + 3*l(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**2 - 413*f - 408*f + 821*f. Let q(s) = -2*s**2. Calculate q(b(y)).\nAnswer: -338*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/17 - 32*d**3\/17 - 4*d**2\/17 + 1056*d\/17 + 2178\/17.\nAnswer: 2*(d - 11)**2*(d + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -40*b**2 - 128*b + 6. What is the smallest common multiple of 432 and d(-3)?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1889 or 1781?\nAnswer: 1781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 8*n - 896 = 62*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11339 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 3131313030110?\nAnswer: -3131313030111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 68255*z**3 - 68260*z**2.\nAnswer: 5*z**2*(z - 13652)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 12*m**2 + m + 13. Let d be q(-12). Let p be 2\/10 + 4994\/55. Suppose -4*t - 7 = -p. Solve -5*l + t = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2265 (base 7) to base 10.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -111, -232, -375, -552, -775, -1056, -1407, -1840?\n\"Answer: -2*a**3 + a**2 - 110*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -1329 + 1328, 0 = -137*p + r + 410 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4912639 and 1670.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 6 + 3*z - 2 - 2. Let t be y(-2). What is the units digit of (t + 2)\/(12\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5336 - 5335.6. What is the nearest to -4 in -7, y, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - 16*d - 32. Let k(i) = 19*i + 3*i**2 + 2 - 20*i - 1 - 4*i**2. Let z(q) = 4*k(q) - o(q). Factor z(m).\nAnswer: (m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 194, -0.3 in ascending order.\nAnswer: -2, -0.3, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1303, 1283, 1261, 1237, 1211?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + a = -47, 2*j + a - 16 = 14. Solve 0 = j*s - 0 + 77 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 3, 27, 0, 1, -0.2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.85 + -3.85. Let s be 4*(-6)\/(1 - -1). Which is the nearest to -2\/9? (a) 0.3 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 2. Let k(f) = -6*f - 3. Give 2*k(x) - 3*s(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1752*j = 878*j - 75694 + 17834 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 735.91013 - 735.9. What is v rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(2*v**4 + 2*v**4 - 3*v**4) + 0*v**4 + 0*v**4 + v**4.\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + s - 21 = -51 + 18, -6*s - 22 = -4*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -54, 1\/56 in ascending order.\nAnswer: -54, -4, 1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:47 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5060\/(-5610))\/(-46))\/2.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2439 divided by -434\nAnswer: -2439\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2850 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3 + 7707*p**2 + 107214*p - 245280 = 0.\nAnswer: -2555, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -s + 84. Let k be (-10 - s) + -2 + 0. Is 2 + (-7364)\/(k + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 68 + 4. Suppose 133*z - 137*z = -72. Calculate the greatest common factor of z and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k + 4. Calculate v(-8).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20718 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1467 + -894. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 616*q + 2*q**3 + 13*q**2 + 16 - 6*q**2 + 3*q**2 + 578*q. Calculate l(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/((-89764)\/(-22440) - 4). Round v to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7777745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/335, -9\/40, 4, 7?\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*b + 25 = -61*b. Suppose 60 - 95 = -b*x. Solve -x*v - 24 = z - 2*v, 3*z = -3*v - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*n**3 - 2 + 8 + 38*n + 4 - 10 in the form k*n**2 + j + o*n + i*n**3 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 11*o**2 - 9*o + 15. Let y be v(-10). Suppose y*p + 2 + 3 = 0. What are the prime factors of ((-1350)\/(-36))\/(p\/(-2))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x*(x*x\/(x*x\/(((x*x\/x**0)\/x)\/x)*x))\/x*x*x**6\/x*x\/x**(-2\/11)*x)\/((x\/x**(3\/2))\/(x\/(x*x**(-7)\/x*x))*(x**(1\/4))**(2\/45)) assuming x is positive.\nAnswer: x**(42914\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.4. Let w be (10*16\/(-64))\/(2\/(-4)). What is the nearest to 0 in 0, w, o, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228106 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 289110635 and -0.44?\nAnswer: 289110635.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/420 + h**7\/35 - 11*h**6\/90 + h**5\/5 + 13*h**3\/2 - 35*h**2. Let u(d) be the first derivative of g(d). Factor u(t).\nAnswer: -4*t*(t - 3)*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t + 2*t. Let a be 62*t\/(-4) + -3. Suppose 3*v + 3*b = 63, -2*v + 17 = b - a. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396475028?\nAnswer: 2, 229, 432833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 9*u**2 + 8*u + 3. Let o be a(8). Suppose o*y = -y. Solve 0 = -y*q + 3*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -218?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3058176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2. Let r = -64 - -42. Let j be (-3 - r\/(-1))*1. Let k(f) = 35*f. Let i(o) = -3*o. Let u(g) = j*i(g) - 2*k(g). Calculate u(a(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 21. Let d be f(5). Solve g + d*y - 10 = 0, -g = 3*g - 4*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 99 = -162. Solve 5*d - 6 + b = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0867 times 44.36?\nAnswer: 3.846012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -40 - ((-4923)\/123)\/(420\/420)\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 65*d - 34. Let q = 55 + -65. Let u be g(q). What is the units digit of (-2 - -1) + u\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -94. List the prime factors of c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 270950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**3\/6 + 6*i**2 - 3*i. Let c be x(-6). Suppose 3*h = 4*n - 1, -2 = -2*n + h + 1. Solve -n - c = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13429263.718 rounded to the nearest 100000?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 299 = -5*r, 2*r + 152 = 2*g. Let b = g + -27. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - 1) + 7 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2399*t**3 + 27*t + 4*t**2 + t - 28*t.\nAnswer: 2399*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let h = -735 - -744. Is b bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 25\/24*d**4 + 1\/12*d**5 + 0 + 1\/360*d**6 + 21*d**2 + 0*d - 3*d**3. Let h(c) be the first derivative of m(c). Factor h(o).\nAnswer: (o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*j + 216\/5 + 126\/5*j**2 - 3\/5*j**4 - 9\/5*j**3.\nAnswer: -3*(j - 2)**3*(j + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 20, 28, 34?\n\"Answer: -r**2 + 13*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 587. Let t be s(65). Let k be 1 + 1 + (6 - 5). Suppose -4*r + k*h + 26 = 0, -2*h - 12 - 2 = -2*r. Sort t, -5, r in increasing order.\nAnswer: -5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110011001 (base 2) to base 16.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*m = 45323 - 710, r = m + 8922. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -313 and 4.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-5)\/(10\/4)). Let n = -16 + 18. Let v(x) = x**n - 4 + 1 + 8. What is v(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/7 + 212856*q - 39644217144 = 0 for q.\nAnswer: 372498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 17 = z, 0*q = 3*q + 4*z - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 5, 0.3, 2\/3, 6930\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.44385l in millilitres?\nAnswer: 33443.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-92)\/32)\/(1\/10) + 1. Let q = 28 + u. Suppose 3*d = 1 + 8. What is the nearest to -0.3 in d, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/62 in 10, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 4*j**3 - j**2\/2 + 15*j + 70. Is 19 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - t = 18, -3*i - 4*t = -3 + 23. Let b = -11 + 0. Let d be ((-8)\/6 + 1)\/((-20)\/60). Put i, b, d in descending order.\nAnswer: d, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0 (c) 2\/323 (d) -3 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1488?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 16) to base 5.\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8616163\/750805 - 57\/8833. Let v = -2\/17 + y. Find the common denominator of v and (4 + -3)\/(15\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4 - (0 + -2)) + (1146 - 1092)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9303*d - 23591. Give c(3).\nAnswer: 4318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -3 + 3 - (9 + 1 - 0) - 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*u + 289*u = -4*g + 267739, 7*g + 3*u = 468502. What are the prime factors of g?\nAnswer: 66931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 2305?\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 32 (c) -10 (d) 0.3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235250210 and 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 79*w**2 + 782*w + 72. Give h(49).\nAnswer: -7229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 37 - 13 - 2304*q - 11.\nAnswer: -2304*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 416 or 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 160 = 4*p, -p + 68*y = 65*y - 40. What is the least common multiple of 4644\/14 + (-6)\/(-21) and p?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 116.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.94 - -53.94. Which is the third smallest value? (a) i (b) -5.4 (c) -2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26)*z*z*z\/z**(-1\/7)*z assuming z is positive.\nAnswer: z**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 less than -4053772403?\nAnswer: -4053772644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let f(q) = 0*q**y - q**2 + 2*q**2. Let z(g) be the third derivative of -g**5\/20 - 6*g**2. Give f(z(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*v = 7*b - 12, -v = -3*b - 4. Suppose 6*k - 1882 - 1244 = b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2576, -5061, -7540, -10013, -12480, -14941?\n\"Answer: 3*w**2 - 2494*w - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -40*-1751\nAnswer: 70040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3575486664 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026852610893*c - 3*c**3 - 1026852610893*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.15, 2\/13, -1 in increasing order.\nAnswer: -1, 0.15, 2\/13, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/7)\/l)\/(l*l**(-4)))\/(l**5\/(l*l**(-2)*l)) assuming l is positive.\nAnswer: l**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 0*s**3 - 7 + 2*s + 2*s**3.\nAnswer: 2*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 + 0)*(2*r**5 - 2*r**5 - 2*r**5) - 3*r**5 + r**5 - r**5 + (4*r**3 - r**3 - r**3)*(-4*r + 3*r**2 + 4*r).\nAnswer: 27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l + 23. What is x(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 97? (a) 575\/7 (b) -5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 923 and 132600.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01530958 rounded to 5 decimal places?\nAnswer: 0.01531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29982913 and 0.019.\nAnswer: 29982913.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m. What is n in -2\/5*n**3 + m*n - 2\/5*n**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/17, -4, 3\/10, 19.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148852681*b**3 - 242907344*b**2 wrt b.\nAnswer: 893116086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 + -3. Let q = 0.3 - z. Suppose -5*f = -5*u - 0*f + 15, 6 = 2*u - f. Which is the nearest to q? (a) -0.1 (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12))\/sqrt(4) - (sqrt(12) + -1).\nAnswer: -4*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.25442 micrograms in grams?\nAnswer: 0.00008025442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -6. Let i = 44 - n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37825311 and 349638?\nAnswer: 9201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 3. Let n(k) = -k**2 - 411. Give n(a(r)).\nAnswer: -9*r**2 - 18*r - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 13384752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 7072482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2327, -9179, -20525, -36365, -56699, -81527?\nAnswer: -110849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 - -10001100000111111?\nAnswer: 10001100001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 32.3?\nAnswer: -161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p + f = 12, 0 = -4*p - 3*f + 4. Suppose p*s = -7 + 3. Let d be (5 - 5)\/(0 - s). Solve d = -4*h + h - 9, 5*q = -4*h - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 66 + (-2 - 2 - 18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 1.231\nAnswer: 2.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 507 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1472 and 34224?\nAnswer: 136896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334 + 91 = 81*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, 2, 871.\nAnswer: -0.1, 0.5, 2, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.140015504 - -40.859981096. Let c = 40.43 + 0.57. Let z = c - w. Round z to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/2*(-93)\/(-930)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2092971 and 732?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p. Let z be t(-4). Let m = z + -28. Is 20 a factor of m*2 - (1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 22*v**2 - 2*v**4 - 22*v**2 + 0*v - 5*v as n*v**2 + h*v**4 + f*v**3 + u*v + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103 greater than or equal to -1102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77594 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.556 (b) 2\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 - 47*y**2 + 68*y + 6. Determine j(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -46\/3. Let n = -5639\/11282 - 1\/5641. Which is the third smallest value? (a) n (b) 0.4 (c) x (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -3*f - 5*l + 20, 4*f - 2*l = -10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1153.343 meters to nanometers.\nAnswer: 1153343000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1278, 2346, 2990, 3000, 2166, 278, -2874, -7500?\n\"Answer: -35*a**3 - 2*a**2 + 1319*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 8 - 276*g - 511*g + 254*g in the form z*g + t and give z.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 40*c**2 + c + 40. Let a be k(-40). Solve a = 20*o - 4*o + 80 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 2\/21 (b) 1 (c) -6 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93003 + -56674. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let f(m) = -2*m + 1. Let a(n) = -f(n) + 4*h(n). Determine a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(114)\/sqrt(6))**2 + (sqrt(228)*2 - sqrt(228))\/sqrt(12) - (sqrt(95) + (sqrt(95) - (2*sqrt(95)*-3 + sqrt(95))))\/(sqrt(45)*5).\nAnswer: -38 + 8*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.3329779 to two dps.\nAnswer: -41.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**2 + 6*t**2 + 2*t**2 - t**2 + 6 + 6*t. Let i(u) = -u - 1. Let o be (-1)\/(-2)*(0 - -12). Calculate o*i(b) + n(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 29 = -3*s. Suppose 0 = -5*u - 4*v - 0*v + 32, -v + 23 = 5*u. Suppose -2*k - u = 2*k, 2*k = 3*z - s. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(-24)\/r)\/r))\/(r*(r**(1\/3)\/r)\/r)*(r\/((r\/r**0)\/r))\/((r*r\/r**13)\/r) assuming r is positive.\nAnswer: r**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 4216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 27*m = 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1347.\nAnswer: 13470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = 4*a - 10, 4*a - 13 = b. What is the least common multiple of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-33)\/(-18) + -2)\/(10\/(-20)). Let o = 0 - -0.2. Which is the fourth biggest value? (a) o (b) h (c) -8 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 10:44 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3138*l**2 + 3138*l**2 + 1756*l**3.\nAnswer: 1756*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28288*m + 2737 - 28364*m - 2737.\nAnswer: -76*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 15*y**2 - 18*y + 9. Let a be u(-13). Let r = -64 - a. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28959 is divided by 362.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*v - 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 5*v - 5. Let w be b(4). Calculate the remainder when 12 is divided by w*4 + (-35)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clx when three letters picked without replacement from xxxxlxxxxxxxc.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 22 = -2*t - 9, 6 = 2*a. Let k = t + -3. Suppose -7*r = -2*r - 10, -32 = -k*o + 5*r. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:34 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.24 and 267128990.\nAnswer: 267128989.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1740156 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(-o - o + 0*o)*(2 + 3 + 9*o - 8*o).\nAnswer: -2*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k**2 - 50*k - 11. Let r be u(7). Calculate the greatest common factor of r and 2130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -52. Suppose 1 = 3*s + 5*x, -s - 10*x - 9 = -6*x. Is w at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -36179*a - 103291042. Give c(-2855).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13.5. What is the biggest value in -2, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3197.1 - 3186.1. Let j = 0.8 - -0.2. Let p = -2 + j. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 29.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-8) + (6 - -1). Suppose -v*m = 3 - 7. Let t(n) be the first derivative of -5*n**2\/2 - 1. What is t(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7fa7fa (base 16) in base 5?\nAnswer: 4120203244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**3 - 14*b**3 + 7*b + 10*b**3. Let h(d) = -d**3 - 2*d. Calculate 7*h(n) + 2*m(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 6*z - 6*z - 6.\nAnswer: -9*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 7*s - 9. Let z be h(4). Let r(q) be the second derivative of q**4\/12 + 5*q**3\/3 - 5*q**2 + q. Is r(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 10*h**2 + 12*h + 15. Let q be x(-11). Let l(n) = -n**2 + 1. Let y be l(q). Let t = 27 - y. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8\/217451, 2\/3 in descending order.\nAnswer: 3, 2\/3, -8\/217451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from slxddds.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/6*v**3 + 7*v + 1\/126*v**7 + 1\/5*v**5 + 5\/18*v**4 + 0*v**2 + 0 + 1\/15*v**6. Suppose d(o) = 0. What is o?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.04. Let d = 0.44 - x. Let h = 0.113 - 4.113. Sort h, 2, d in increasing order.\nAnswer: h, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 62 + u + 14*u + 6 + 35 to the form z*u + l and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -179. Is p a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (8 + 0)) + 8 + (-9 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 5 = 29. What is the second derivative of 26*x**u + 33*x**4 + 57*x - 1 + 29*x + 4 - 32*x**4 wrt x?\nAnswer: 12*x**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -2, 1\/29, -4329, 0?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 58. Let v = -50.354777 + -0.645219. Let p = a + v. What is p rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210001 (base 3) in base 14?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + w)*(-38 - 6*w**2 + 39 + 10*w**2).\nAnswer: -4*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2) + (-4)\/(-1). Solve 2*d = t*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -11856162?\nAnswer: 11856166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/9, -14\/75?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 299. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -39. Let b(f) = -f**2 - 8*f - 6. What is the smallest common multiple of b(-6) and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*o + m - 0, o + 3*m - 14 = 0. Let w(i) be the third derivative of -2\/9*i**3 + 1\/45*i**6 + 0*i - 2\/15*i**5 + 0 + 3*i**o + 1\/4*i**4. Factor w(l).\nAnswer: 2*(l - 2)*(2*l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/((-91)\/(293020\/(-280))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -114, -129?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26810258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/12 - (-46)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 1 - 1 + (3 + 1 - 6)*(4*p - p - 4*p) + 8*p - 3*p + 14*p - 9*p + 7 - 7 - 5*p + 0*p + 4*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77.9 - -78. Let m = -4.95 - 0.05. Let o = 4.6 + m. What is the closest to b in o, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.196 + 4973.5.\nAnswer: 4973.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 2128*x. Let h(o) = -12*o. Determine h(t(d)).\nAnswer: 60*d**2 - 25536*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 242, 556, 1014, 1628, 2410, 3372?\nAnswer: 4526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac42 (base 14) in base 13?\nAnswer: -10782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.3. Let b = 2\/105 - -97\/420. Put -4, l, b in descending order.\nAnswer: b, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2 - 2*k**3 - 2) + 3568*k**3 - 3345*k**3 - 2153*k**3.\nAnswer: -1926*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(36))\/((sqrt(132)*-3)\/sqrt(11)) + (2*(5 + 2*sqrt(3) - sqrt(21)\/(sqrt(14)\/sqrt(2))))**2*-2.\nAnswer: -224 - 250*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**12\/k**(-6\/17))\/(k**(8\/3))**(-5\/2))**(-5\/7) assuming k is positive.\nAnswer: k**(-4850\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(6) + -2*sqrt(6)) + sqrt(30))\/(1*sqrt(20)\/sqrt(2) + sqrt(10)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8851356*u + 1111753 with respect to u.\nAnswer: -8851356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - (-95)\/(-35). Let d be (h - -4)\/((-3)\/(-9)). Let n = d - -9. Calculate the remainder when 22 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {w: 2, o: 1, j: 1, d: 1, n: 1, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 90*z - 1245. Calculate the smallest common multiple of 159 and j(15).\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 - 11\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -4117?\nAnswer: -24\/4117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3403 and 33702?\nAnswer: 2797266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((-102)\/(-12)) - (-2 + -1). Solve l*o = i - 0*i - 12, -i - 18 = 5*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48543, -97127, -145711, -194295?\nAnswer: -242879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -13, -7, 0, 468, 1.\nAnswer: -30, -13, -7, -2, 0, 1, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2))**(-22)*y**7*(y*y*y*y\/(y**(1\/9)\/y*y))\/y)**16)**21 assuming y is positive.\nAnswer: y**(32144\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let u(c) = c**2 - 6*c. Let y = -70 - -71. Let m(l) = y*u(l) + 6*j(l). Let t(q) be the second derivative of -10*q**3\/3 - 2*q. What is m(t(b))?\nAnswer: 400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18.10934 seconds?\nAnswer: 18109.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -3 + (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 22 + 1 = 0. Let l(h) = -100*h**3 + 4*h + 4. Let f be l(-1). What is the remainder when d is divided by 21\/5 - 10*2\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10 = 4. What is the units digit of (-9)\/(-11) - w - (-1179)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 586*i. Let b(z) = -383*z. What is c(b(p))?\nAnswer: -224438*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014038187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.73? (a) -0.0148 (b) -1 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(704)\/sqrt(2) + sqrt(242)\/(sqrt(11)*-1))\/(sqrt(396) - (sqrt(396) + sqrt(396) + sqrt(396)*2*-4 + sqrt(396))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.092 - 0.323. Let d = -0.015 - u. Let x = -11 + 7. Put d, -2, x, -0.3 in increasing order.\nAnswer: x, -2, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696*h + 238*h - 206*h.\nAnswer: 728*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 3, -2, -4, 2 in decreasing order.\nAnswer: 3, 2, -2, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 938 divided by -11.\nAnswer: -938\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -517*p**3*s**2 - 4*p**3*s - 6*p*s wrt s.\nAnswer: -1034*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7335 and 5379.\nAnswer: 80685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 512 and 6911552?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b + 4. Let k be t(-6). Let s = 23 + -3. Let g = s - 16. Calculate the greatest common factor of g and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*y - 665*y - 430*y + 101592 = -54512 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {v: 2, l: 5, r: 6, b: 2, t: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)\/(v\/(v*v*v**(-2\/21)\/v*v*v))*((v*v\/v**0)\/v)**(-9) assuming v is positive.\nAnswer: v**(-233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 101, -1, 2, 1, 4 in ascending order.\nAnswer: -1, 1, 2, 4, 8, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5374264*f**4 - 2926293*f**2 wrt f?\nAnswer: 128982336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -2 (c) -3758 (d) -0.01 (e) -1 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -1\/4 (c) -4 (d) 745\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16742050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 818 - 20*k + 815 - 2441 - 40*k + 2*k**2 + 810 as h*k + o + v*k**2 and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.761979 millennia in decades?\nAnswer: 176.1979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4230)\/235*2\/(-12) - (1 + 12 + 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5396 + 1942. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 11 + 8 + 4*f**2 as x + o*f + l*f**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 + 5*m + 2. Let o be w(5). Suppose -4*z**2 - 5*z**2 - 3*z**3 - 1 + 3*z**o + 7 + 3*z = 0. What is z?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -32*m**3\/9 + 14416*m**2\/9 - 7190*m\/3 + 898 = 0.\nAnswer: 3\/4, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**3 + 51*p**2 + 23*p - 38. What is w(-6)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b**3 + 24*b**2 + b - 281?\nAnswer: 162*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 13*z - 2. Let x be h(-7). Suppose -5*d = x*c + 5, 3*d = 3*c - 0*c + 9. Is d\/4 + (-4632)\/(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -i - i - 6, 3*v - i = 3. Suppose 3*l + 12 = -v*l. Let n(a) = -a**3 - 4*a**2 + 4. Let c be n(l). Solve c*x = -2 - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o = -31. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 27. Let m = 18 + -29. Let p be w(m). Find the third derivative of -6*u**2 + u**p - 30*u**5 - 13*u**2 wrt u.\nAnswer: -1740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12*w + 1319180 = -24187. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*c - 16, 14*t - 8 = 4*c + 19*t for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -0.01?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.7 + 7. Let z = 0.4 - m. What is the nearest to z in -1\/7, 1, 3\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3981 divided by -1.\nAnswer: -3981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31356 + 31505. Which is smaller: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -5, 2\/9, -2.96, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 71.6?\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -254*a + 426*a - 410*a**3 - 174*a + (a**3 + a**2 - a**2)*(1 + 3 - 3) in the form l + p*a**3 + z*a**2 + d*a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737033495 is divided by 2732.\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -4 + -2*1. Let y be (2\/(-24))\/(g\/(-4)). Which is the second smallest value? (a) y (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1 + sqrt(833) + 3 - -6*(sqrt(833) + sqrt(833) + 1 - sqrt(833))) + 2*(-3 + 1 + sqrt(833) + sqrt(833) - sqrt(833))))**2.\nAnswer: 3024*sqrt(17) + 270036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7 > 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 0*j - 16*j + 10*j - 6*j. Let o(x) = 0*x - 2*x + x - 2*x. What is i(o(t))?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1358688, -5434699, -12228028, -21738675, -33966640?\nAnswer: -48911923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12975\/3 + 490\/35 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Suppose 4*d - 460 = -2*t, -d + 5*d - 448 = 4*t. Let v = 110 - d. Let n(b) = b + 1. Let x(j) = v*n(j) + 5*u(j). Calculate x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2367 + 0.0513. Let g = 1.28801237 - q. Round g to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263166 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let w(i) = -3*i + 24*i**2 - 3*i**2 + 2 - 23*i**2. Let z = 198 - 199. Give z*w(d) + 3*m(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 2. Let a be j(6). Suppose 0 = -2*q - 5*r + 16, 4*q + q - r = 13. Solve 4 = -q*m - a*d, 10 = m - 3*m + d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179 (base 12) to base 11.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1020 = -3*h, 2*l + 4*h = -3*l + 1702. Suppose 0 = 7*a - l + 27. List the prime factors of 5\/a*6*108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 + 2*c + 9. Let b(f) = -7*f**2 + 4*f + 7. Let g(q) = 5*q**2 - 3*q - 6. Let p(n) = 2*b(n) + 3*g(n). Give -4*m(i) - 9*p(i).\nAnswer: 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwzyvwqqqqwzqqwqqqwq. Give prob of picking 1 w, 1 y, 1 q, and 1 v.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440375 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + l = -19, 6*q - 2*q = -3*l + 23. Suppose -q*r + 3*d + 34 = -r, 2*r - 3*d - 14 = 0. Suppose -r = -2*z + 4. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2 + 8. Let d(f) = 1 - u + f**3 + 5 + 5*f + 0 + 6*f**2. Give d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 16*o = -16. Let p = -23 + 41. Suppose -p = h - 22. Solve -h*s + 20 = 4*a, o*a - 13 = -2*s + a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/34, 7.5, 1 in ascending order.\nAnswer: 3\/34, 1, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 11*y**2 - 2*y + 12. Let i be w(11). Let l(j) = -j**3 - 10*j**2 + j + 3. What is l(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2036*m**2 - 11 + 15 + 7.\nAnswer: 2036*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -197, -24, -1735, -5 in decreasing order.\nAnswer: 5, -5, -24, -197, -1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*v = -3*z - 51, -4*v - 30 = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*s - 109, 4*s - 4*l + 140 = 8. Suppose -121*a + 5*j = -118*a - 216, 283 = 4*a - 5*j. Let o = s + a. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**4 - 2*z**3 + 3*z**2 + 36*z + 9. Let x(j) = -j**4 - j**3 + j**2 - 1. Let n(m) = -4*l(m) - 36*x(m). Let n(h) = 0. What is h?\nAnswer: -6, -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-5) + 83 + (-15841)\/210 and ((-2)\/(-9))\/(48\/(-194)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203044 to the power of 1\/2, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53348152 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 302052350*d + 302052350*d. Let c(b) = -3*b**2 - 218*b. What is c(n(t))?\nAnswer: -12*t**4 - 436*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202*-158272.\nAnswer: -31970944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20102111112010 (base 3) to base 6\nAnswer: 201110133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 15*m**2 + 11*m + 1. Let y(w) = -w**2 + 49*w + 538. Let g be y(58). What is r(g)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4 + 401772*j**3 - 13248934554*j**2 - 13579476962436*j - 3427109699626107 = 0.\nAnswer: -501, 67463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 153\/12 + 1\/4. Suppose -5 = 4*w - n. What is the third derivative of -9*p**3 - p**5 - w*p**2 + 9*p**3 wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258, -0.2, 0.2, 0 in ascending order.\nAnswer: -0.2, 0, 0.2, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005277 rounded to 5 decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653387573.4 less than 0.0154?\nAnswer: -3653387573.3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**2 - 21*a - 42. Let u(h) = h + 2. Let x(b) = -3*p(b) - 63*u(b). Let m(n) = n. Calculate x(m(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16192 * -0.942\nAnswer: 15252.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**8\/15680 - v**7\/5880 + 5*v**4\/24 - 4*v**2. Let r(y) be the second derivative of u(y). Factor r(f).\nAnswer: -3*f**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 24 = -10. Let x(r) = 0*r + r + 17 - j. Let w(c) = 32*c. Calculate x(w(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 221, 218, 215?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*s - 10 - 1\/2*s**2.\nAnswer: -(s + 4)*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*n*u**3*y + 2*n*u**3 + 1278*n*u*y - 87*n + 9479*u**3*y + 2*u**2*y - 2*y wrt u?\nAnswer: 72*n*y + 12*n + 56874*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -201)*2\/16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(-1 - 1 + 1) - 4 + 7 + 4)*(-23*h - 64*h - 12*h)*(1 - 2 + 0).\nAnswer: 792*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -410.18 times 0.5\nAnswer: -205.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-4)\/(-16)) + 28\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 91003407.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/525443730 and 127\/210?\nAnswer: 525443730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 3 - 3 + (3*g + 3 - 3)*(17*g - 9*g + 10*g) + (2*g**2 + 2*g**2 - 2*g**2)*(-8 - 16 + 2).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4429 + 4429.2. Let f be 2*-1 + (-17)\/(-8). What is the second smallest value in -4, b, f, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.07 (c) 34 (d) 1\/4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 + (-25)\/(-1). Suppose 0 = -6*p - 5*p + 286. Let g = y - p. Sort g, -4, 1.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = 5*x - 0*x. Let p(m) = 14*m**2 - 35*m + 63. Let j be p(6). Calculate the highest common factor of x and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = 3*t - 660, 2*g = 3*t - 654. Let l = t - 81. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 - 9*b + 2. Let q be l(7). Let u = q - -14. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 - 11*m**2\/2 - 9*m - 2. What is the units digit of v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106656349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 2. Let x(q) be the second derivative of q**3\/6 - 2*q + 7. Calculate m(k) - 3*x(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 407, 5, -5, 4982.\nAnswer: -5, 5, 407, 4982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:29 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44009214589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/2 - c**3\/6 - 2*c**2. Is i(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 1. Let p(v) = v**2 + 7*v + 9. Let a be p(-6). Suppose -q - 4 = -a*q. Calculate b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21900 divided by 1.\nAnswer: 21900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -967173587.965 take away 0.03?\nAnswer: -967173587.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8.457 times 5.3\nAnswer: -44.8221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) -1\/7 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18a + 112aa?\nAnswer: 11434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58890 + 5?\nAnswer: -58885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 620733178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2366)\/60840*60)\/(-1*7\/75).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 17. Let h be 1\/2 - x\/(-2). Let o = 18\/11 - 97\/66. What is the nearest to -1\/3 in h, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5408 = 113*z - 711*z - 7748. Put z, -4, -1, 32 in increasing order.\nAnswer: z, -4, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/3, -2, -3, -2\/37, -37, 2\/13?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 57. What is the remainder when 55 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l - 3. List the prime factors of u(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 - r - 2. Let h be s(-2). Suppose 5*d - 2*l + 7*l - 40 = h, 4*d + 3*l = 27. Solve 0 = d*g, y + 4*g + 0*g = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 - 2 = 0. Let n be (8\/(-10))\/(o\/(-5)). Suppose -2*q + 4 = n*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2 + 24 - 13 - 4*z + 0.\nAnswer: -4*z + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o**(-1\/7)\/o)\/o))\/o**(-3)*(o\/(o\/(o**(-1\/3)*o*o)))**(-14))\/((o*o**(2\/9)\/o*o)\/o**(3\/2))**(3\/4) assuming o is positive.\nAnswer: o**(-1007\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34508 + 90*j**2 + 652 - 337*j - 399*j - 94*j**2.\nAnswer: -4*(j + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + ((-6 - -26) + (-21 - 1) - -12)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5632 - 5617. Calculate the lowest common multiple of 84 and c.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-3))\/(18\/(-81)). Suppose 0 = -3*a + 9, -3*r - 2*a + c = 15. Let u = 41 + r. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 0 - 0 - (-320)\/64. Suppose -2*j + 3*b - c*b = -8, -8 = 2*b. Calculate the remainder when 173 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17506326 divided by -5835442.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -33, 1, -14, -68, 3, -16.\nAnswer: -68, -33, -16, -14, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3498, -3479, -3460, -3441?\n\"Answer: 19*z - 3517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -31. Let f be (-16)\/((-624)\/(-13))*(5 - 3). Which is the second smallest value? (a) f (b) v (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**2 + 157*q - 85. Let n(h) = h. Give n(s(k)).\nAnswer: -2*k + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + l + 14 = 4*l, 0 = 9*c + l - 53 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3072883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + -19. Let f be (-1)\/(-3) - 1240\/48. Let b = f + 24. Calculate the common denominator of b and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 - 6*z + 3. Let q be a(-3). Suppose 2*u = 2*w + 7*u - 131, 0 = q*w - 5*u - 134. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 21. Solve 3*l - m = 4*q, -3*l = -0*l + 5*q + 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p = -21*p - 41382. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2340 + -2298. Calculate the remainder when 1006 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - -3 - (0 - -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**3 - 42*b**2 - 38*b - 22. Calculate x(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 23*l - 862. Calculate g(16).\nAnswer: -1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 62400 to the nearest 1000.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*g - 24 = 0, 3*g = 4*r + g - 60. Let t(c) = -c**3 - 10*c**2 - 11*c - 12. What is the least common multiple of t(-9) and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvypyyyycvvkcyvcppy. What is prob of picking 2 y and 2 c?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8650 divided by 25\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -277*h + 6. Calculate n(-4).\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 - 17*n + 17. Let m(z) = -z**2 + 3*z - 3. Let g(l) = -6*k(l) - 34*m(l). Let h = 0 - -4. Let f(u) = -3*u + h*u + u. Calculate g(f(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 27*d + 66. Suppose 2*v + 97 = -h + 34, -3*v - 3*h = 102. Let i be j(v). Solve i*u = -s + 3*u + 27, 1 = -2*s + u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2*h**5 - 4*h + 5. Differentiate q(x) with respect to x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8*656\/(-328).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58869*k**3*w**3 + 6*k**2*w**3 - 10*w**3 + 9171*w**2 + 2 wrt k?\nAnswer: 176607*k**2*w**3 + 12*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 31*w + 71. Give n(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 880, -421, -2 in ascending order.\nAnswer: -421, -2, 2, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/4 - 7*t**3\/4 + t**2\/4 + 27*t\/4 + 9\/2 = 0. Calculate t.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 11. Let d(g) = -1376*g + 1. Give d(a(j)).\nAnswer: -2752*j**2 + 15137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaabharjbbfr. Give prob of picking 1 a and 3 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(10)\/sqrt(2) + (sqrt(5) + (sqrt(5) + sqrt(35)\/sqrt(7)*-3 - sqrt(5)) - sqrt(5))**2 - -2*(sqrt(720) - ((sqrt(720)*1)**2 + -2)).\nAnswer: -1391 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:11 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271625355.\nAnswer: 3, 5, 6036119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -1, -1\/4, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from {y: 3, g: 11}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35 - -0.05. Let k = u + 0.7. What is the smallest value in k, 1, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -48*r - 314 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -39*b**2 - 75*b + 2. What is l(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 8*c**2 - c + 6. Suppose 0 = -107*q - 577 + 42. What is a(q)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = -3*x, -q - 2*x = -2*q + 4. Let v = -2 - -2. Suppose 2*c + 14 = -v. Which is bigger: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -1a?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*v + 2019 - 5910 = 5599. Calculate the remainder when v is divided by (-35)\/(-2) + 5\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/12 - w**3\/6 + 10*w**2 - 8375*w. Suppose 0 = 2*m - 3*a + 15, 0 = 3*m - 2*m + 2*a - 10. Give f(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2902, 12660, 28902, 51616, 80790, 116412, 158470, 206952?\nAnswer: 261846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 263 and 98269687.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -53*r - 361. Let a be b(-7). Let i(x) = -2*x**3 - 6*x**2 - 6*x - 7. Let p(v) = -v**3 + v**2 + v - 1. Let k(w) = i(w) - 3*p(w). Determine k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 24*n**2 - 4*n + 304. What is f(13)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**2 + 8*s**2 + 6*s**2 + 0*s**2 + 8*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4537942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 281 and 1406\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -11. Suppose -4*c - j*u = -1255, -4*c + 3*c + 295 = 5*u. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1621 (base 15) to base 8\nAnswer: 11224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -190 (b) 0 (c) -5 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27640 and -26?\nAnswer: 27640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 3018782?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/81)\/(1\/45). Calculate the smallest common multiple of (61 + -19)\/(2\/b) and 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9414*y**2 + 785*y - 6339. Is s(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/48 + k**3\/24 + k**2\/4 + 13*k - 26. Let b(c) be the first derivative of f(c). Suppose b(d) = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.24422 millilitres?\nAnswer: 0.00224422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5027570 less than or equal to -5027568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853345329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503733, 2014867, 4533411, 8059359, 12592705, 18133443?\nAnswer: 24681567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 3. Let c be f(1). Let m be ((1462 - 1) + 1)\/(1716\/(-297)). Let o = -253 - m. Are c and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -0.64. Let r = b - -3.96. What is the third biggest value in 0.2, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31557 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 5576*w**2 - 22388*w + 27960.\nAnswer: 4*(w - 1398)*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -303, 51829, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37262981 or 37262979?\nAnswer: 37262979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 5*f + 4*f + 8*f to u + t*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 28*n**2 + 26*n + 58. Determine y(29).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.329 + 0.029. Let t = 0.35 - 3.35. What is the closest to 1\/2 in b, t, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 1. Let h(t) = 6 + 0*t - 2*t + t - t. Let o(r) = -h(r) + s(r). Let a(j) = -2*j - 7. Let v be a(-5). Calculate o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554431497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -3 + 0*m**2 + 0*m + 1\/6*m**4 + 1\/9*m**6 + 0*m**3 + 4\/15*m**5. Factor y(v).\nAnswer: 2*v**3*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 21. What is b(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717675 is divided by 1511.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33.7 times 0.3\nAnswer: -10.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1963 + 6329 + 5364 = -695*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 3*g + 1. Suppose 2*p = 6*p. Suppose p*h = -h - 5*m + 17, -3*m = 3*h - 3. Does 7 divide i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 1050 = 16*c. Suppose 0 = 5*n - 39*g + c*g - 150235, 30047 = n + 5*g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308.2 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.8 - -26. Let y = k + 2.3. Let j = -2\/211 - 404\/1899. What is the closest to -2 in j, 5, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(10\/(-7))*28\/(-294)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {g: 1, s: 1, i: 1, q: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(-2 + 3 - 2) + 0 + 0 - 1 - 2 + 0 + 4 - 5 + 2 + 7)*(-729*k**2 + 729*k**2 - 186*k**4).\nAnswer: -1302*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(5*k**2 - 2*k**2 - 2*k**2)*(0 + 5 - 1).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22090087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 27*g**2 + 114*g - 85. Is h(33) 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 9:50 AM and 6:48 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b = -45*b. Suppose 0 = -3*i - 0*i + 6. Let n be i\/8 - (-28)\/16. Solve -n*q - 10 = a, -5*q - 17 - 8 = b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (672*y - 21896 + 21896)*(-3*y + 0*y + 2*y) + (5*y - 4*y + y)*(-3*y + 4*y + 3*y).\nAnswer: -664*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*(1020\/18)\/17. Let j(s) be the second derivative of 1\/150*s**6 + 1\/30*s**4 + 0*s**2 + 0*s**3 + 0 + 3\/100*s**a + 8*s. Find f, given that j(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11*(-2 - (-1 - 2)). Let h = s - -3. Calculate the remainder when h is divided by 15\/4 - (-3)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:57 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxnnc. Give prob of picking 1 x and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1288 (base 9) to base 8\nAnswer: -1713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-24)*9\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9583 + 0.0417. What is the nearest to 9 in -2, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.44 - -2.5. Put -4\/7, 0.08, 3, d in descending order.\nAnswer: 3, 0.08, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135643.5779 rounded to the nearest 10?\nAnswer: 135640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99183 and 26642443.\nAnswer: 4723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39477416 + c**3 - 39477416.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 24. What is f(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*l**5*m + 7*l**4*m + 16*l**3 + 2*l**2*m + 42611*l**2 - m - 2 wrt l?\nAnswer: -6000*l**2*m + 168*l*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h**3 + h**2)*(5 + 8 - 7).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyyqey. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (102\/12)\/((-2)\/(-12)). Suppose 5*f + g = 442, 10*f - 14*f + 5*g + 371 = 0. Suppose f*d + 510 = 91*d. Calculate the highest common divisor of k and d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.4 (c) -2\/33 (d) -3 (e) -2\/47 (f) -0.1 (g) 0.27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:30 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 123560*z. Let h(b) = -23*b**2. What is f(h(w))?\nAnswer: -2841880*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204.8842 less than -1.5?\nAnswer: -2206.3842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22880 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327 (base 8) in base 12?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + 4*s - 2*s + s**2 - 4*s. What is the units digit of y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 18*g - 2. What is the units digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97914.285ms to weeks.\nAnswer: 0.0001618953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -323*u - 121. Let b(r) = -53*r - 20. Determine -25*b(p) + 4*i(p).\nAnswer: 33*p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 173*u**2 + 45 + u - 46 + 0*u**3 - 459*u**2 to the form p*u**2 + c*u + r + v*u**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/5286120 and 101\/90944.\nAnswer: 42288960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 8 = -10*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4, 0.47, 14 in decreasing order.\nAnswer: 14, 4, 2\/3, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401483 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 11*u**5\/20 - 13*u**4\/12 + 12*u. Find the third derivative of z(b) wrt b.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (333\/(-999))\/((-2)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532520?\nAnswer: 2, 5, 63313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870 and 270?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80242 divided by -6.\nAnswer: 40121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2108388m in micrometers?\nAnswer: 210838.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 670 = -w, 11*p - 5*w = -2*w + 2460. Calculate the remainder when 1156 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55\/44)\/((-2)\/8). Let q(y) = 7*y - 1. Let m(p) = -15*p + 2. Let a(k) = 6*m(k) + 13*q(k). Let u(l) = l - 1. Let s(d) = 2*a(d) - u(d). What is s(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 12 = 33*i. Suppose -5*t = -216 - i. What is the remainder when t is divided by (-4)\/(-2)*7 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 36*m - 406. Give q(16).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k = -4. Suppose -2*f = -4*l - 2, -26 + 2 = -4*f - 2*l. Sort f, k, -2 in decreasing order.\nAnswer: f, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = 6319*a - 6326*a. Sort 0.5, 2, 5, a in ascending order.\nAnswer: 0.5, 2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 9:10 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 40. Suppose 4 = 2*a + 4*u - 9*u, 4*u = 16. Calculate the remainder when 1 + -2 + z - -2 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 + 5*b + 7. Let j be u(-5). Let p = -5 + j. Find the third derivative of p*c - 3*c**5 - 2*c + 2*c**2 + 0*c wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6520507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 + 5?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 112 + 5 = 0. Is 1*-4 - (3 + 160476)\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-28))\/((-78)\/91).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*r - w + 70, 2*r + w - 27 = 0. Let u = r - 14. Is -2\/7 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 9361238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10270)\/(-120554)*1\/(-2) and 37\/10?\nAnswer: 7630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3936005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.44 - -1.44. Let c be (-12)\/30 - (-8)\/70. What is the nearest to 1\/2 in c, z, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12434851*b - 48758*b**2 + 48764*b**2 + 12434851*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76328\/35 + -6 + 8\/(-10).\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/((-1395)\/(-54))*(-56)\/(-48)*(-75)\/14?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*122412\/(-60) + (-6)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 2*x**4 - 19*x - x**4 - 13*x + 57*x**3 + 11*x in the form o*x**4 + h*x**2 + d + c*x**3 + a*x and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**4 + 2*c**3*w + 4*c**3 + 56*c**2 + 857*c*w - 2*w wrt c?\nAnswer: 120*c**2 + 12*c*w + 24*c + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -42*n + 45*n. Solve -5*w = 4*z - 5, -n*w - 3*z = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + 1.93. Let o = q + -2.0007. What is o rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000000110010100101 (base 2) to base 7\nAnswer: 6466146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n + 8. Suppose -9 = i - 3*f, -3*i - f + n = -2. Solve w = g - 6, i = 7*w - 4*w + 2*g + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -43*j + 315. Let q(u) = -3*u - 2. What is -15*q(z) + r(z)?\nAnswer: 2*z + 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 157. Calculate the highest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*((-3)\/(-2) + -2). Let n be 0\/((6\/(-12))\/((-3)\/l)). Suppose -9*c + 12*c - 231 = n. What is the remainder when c is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(52)\/(sqrt(4)*-2)) + 2.\nAnswer: 2 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*p - 106, 1221571*r - 1221576*r = -4*p - 295 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58689, -60950, -67095, -79068, -98813, -128274, -169395, -224120?\nAnswer: -294393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-558)\/(-1209)*(-6188)\/102\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/14580554 and -7\/959990.\nAnswer: 1239347090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14*327\/2. Let t = 47 - n. Let x be (4 + (-80)\/25)*(-1)\/2. What is the second biggest value in t, x, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 6\/4)*((-142)\/42 - 11\/(-231))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283277 (base 9) to base 2.\nAnswer: 101010001111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + -2 - (1 + sqrt(6)\/sqrt(2)) - (2 + (sqrt(3) - (sqrt(3) + sqrt(432) + 1) - sqrt(3))).\nAnswer: -4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 - 2\/1. Let t be m\/(2 + -2 - 1). Solve t*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2932 - 2932.1. Let d = -0.93 + 1. Sort d, 3, q, 0.\nAnswer: q, 0, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:27 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5260640 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179 or 10?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*m = 287*m. Let x(s) be the third derivative of 0*s + m*s**4 - 1\/60*s**5 - 11*s**2 + s**3 + 0. What is the first derivative of x(k) wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/9 + 1*3\/(-9). Let r(h) = h**3 - 5 - 11 + 8*h**2 + 3 - h. What is the units digit of r(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2\/b)\/b*b*b**(2\/7))\/(b*((b*b**(-1)*b)\/b)\/b)**(-2))**17 assuming b is positive.\nAnswer: b**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 381 (base 14) to base 5\nAnswer: 10301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-12 - (-22 + -3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50689?\nAnswer: 173, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/20 + (-36)\/(-10). Suppose 3*i - 61 = -v*r, 4*i + 2*r = -i + 125. Calculate the remainder when 106 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39152700 by -5100.\nAnswer: -7677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.27 - 1.24. Which is the nearest to w? (a) -5 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10356.9948ns to days.\nAnswer: 0.000000000119872625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1276 times -17533\nAnswer: 22372108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 5 = -135 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 121 = 12*q. Suppose -q*v = -16*v + 54. What is the tens digit of 0 + v\/3 + (180 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3992017 is divided by 997999.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 15. Let o(p) = p - 11. Let b be o(8). Let s(z) = -2*z - 3. Let g be s(b). Solve v = -1, g*x = x - d*v - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 - f**3 - 66*f**2. Let r(u) = u - 8. Let g be r(8). Let v be g - 0*1\/3. Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {z: 1, o: 1, f: 5, e: 1, q: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 6*n**2 - 2*n**2)*(0*n**3 + n**3 - 3*n**3) + (-6*n**2 + 2*n**2 + 3*n**2)*(-n**3 + n**3 + 2*n**3).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:07 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 9*w + 12. Determine u(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*w + 87, -5*m - 5*w + 157 = -3*w. Suppose -29*p + 56 = -m*p. Is (-4)\/p + 92715\/147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*y + 15, -5 + 0 = -5*z + y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccb when three letters picked without replacement from {c: 2, b: 1, h: 1, o: 1, v: 5}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/237*(-1)\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 - 22*p**2 + 7*p - 12. Let d(f) = 2*f**3 - f**2 - f + 2. Give 6*d(i) + l(i).\nAnswer: 7*i**3 - 28*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**3 - 31*x**2 - 24*x + 25. Let t(z) = -z**3 - 6*z**2 - 5*z + 5. Let l(d) = -2*m(d) + 11*t(d). Let a be l(6). Let s = -21 + a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*d = -234. What is the remainder when 124 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 12. Let g be m(9). Let x(j) = 4 + j + j - 3*j - g. What is the tens digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 2*q - 3*q - 50*q - 25*q - 4*q + (-1 + 2*q + 1)*(-4 + 4 - 1))*(0 - 3 + 4)*(25 + 16 - 51)*(0 + 1 - 3) to the form i + w*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3798 or 0.4?\nAnswer: -3798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.4, -41.6, -1\/6, 1\/2 in descending order.\nAnswer: 1\/2, 2\/11, -1\/6, -0.4, -41.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i + 165. Let z be (-224)\/(0 - -8) + 8. Let w be r(z). Sort w, 3, -4, -2 in decreasing order.\nAnswer: w, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {l: 1, a: 1, x: 1, p: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321.867 millennia in years?\nAnswer: 6321867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29004093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*f - 163977 = -16665. Calculate the highest common divisor of f and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j - 68 = -54*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4186211 is divided by 495?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 36*q + 280. Let l be a(-8). Let j(v) = -v**3 - 8*v**2 + 4. Give j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 158, -4, 5, 17 in ascending order.\nAnswer: -4, -1, 0, 5, 17, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 8*n**2 + 6*n + 45. Let r be b(-8). Let k be (-268)\/(-1704) + r\/18. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 4*l - 10, k = 2*l - 4. Solve -4*v + 18 = -2*t, 2*t - 9 = k*t - v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 455*k + 462*k + (-5 + 3 + 4)*(-k + 3*k + k))*(11*k**2 - 41*k**2 + 19*k**2).\nAnswer: -143*k**3 + 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 2, -0.315, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:21 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 33 = 17*s + 5*j, -12 = -s - 5*j for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - -6)*(-1 - -3). Let x be ((-39)\/r)\/(-1 - (-9)\/8). Suppose 45 = -5*g + 5*n, g + 3*n = -2*g - 39. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + (-7 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99)\/(sqrt(36)\/sqrt(4)))**2 - (3*(sqrt(11) - sqrt(176)) + sqrt(11))**2) + 4*((sqrt(33)\/sqrt(3) + sqrt(11))**2 + 0).\nAnswer: -539 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136171*r**2 + 33*r - 305 wrt r.\nAnswer: 272342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 202, 474, 868, 1390?\n\"Answer: y**3 + 52*y**2 - 7*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2 - 10536*r - 10540 = 0.\nAnswer: -1, 2635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4 - 58*l**3*o**3 - 3*l**2*o**3 + 3*l*o**3 + 26*o wrt l?\nAnswer: 72*l - 348*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -105 (c) 2\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1770*u**3 - 888*u**3 - 900*u**3.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 - 15*q**4 - 30*q**3 + 50*q**2 + 105*q + 45.\nAnswer: 5*(q - 3)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8011745, 32047058, 72105913, 128188310, 200294249?\n\"Answer: 8011771*v**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 - (-1463)\/285. Let x = 14\/5 - y. What is the closest to -0.7 in x, 2, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**3\/4 - 15*m**2\/4 - 21*m\/4 - 9\/4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*n - 5*j + 18 = 147*n, n - j = 0. Put -2, -12, n in descending order.\nAnswer: n, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.08 (c) 3 (d) -17 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10293, 5620, 21533, 37446?\n\"Answer: 15913*c - 26206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*m + 119 = m, 1317*v - m + 37 = 1312*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5200) + -4*2*sqrt(5200) - sqrt(5200)) + -2*sqrt(5200)*-5)**2.\nAnswer: -400*sqrt(13) + 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 219326, 219242, 219104, 218912, 218666, 218366, 218012?\n\"Answer: -27*d**2 - 3*d + 219356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**2 - 1. Let f be i(-1). Let w = -24 + 12. Let h = w + 3. Is f at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 568, 836, 1072, 1270, 1424, 1528, 1576?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.9 (b) 527 (c) -3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35277?\nAnswer: 3, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.82939 millennia?\nAnswer: 5829.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**4 + 0 - 3*k**4 - 1 - 1 wrt k?\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.134 and -0.069.\nAnswer: -0.009246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:53 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12934 at most as big as -12933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12734 + w + 3*w - 47199 - 26414.\nAnswer: 4*w - 60879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3550729130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102509280 by -2928.\nAnswer: -35010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:32 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (sqrt(280)\/(5*sqrt(10)) - (1*sqrt(1792) + sqrt(1792))**2))*2.\nAnswer: -14338 + 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 i when three letters picked without replacement from stiisissui?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:22 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1705\/65581 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**5 - 2 + 15*k**2 - 15*k**2 - 2*k**4 + k**5 + 2*k**4 - k**5 - k**4 + k**4 + (-2*k**4 - 2*k**4 + 5*k**4)*(-2*k - 3 + 3).\nAnswer: -15*k**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d + 6. Let w be n(-13). Suppose 0 = -r + 4*r + w. Let x = r + 23. Let t(b) = -b**2 - 6*b - 7. Determine t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmpmtp. Give prob of sequence bmtp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -5, -1.9, -0.1, 0.93?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1379208*m**3 + 2*m + 8755472.\nAnswer: 8275248*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(500) + -2 + -2)*4)**2 + -3*((-5*(sqrt(500) + sqrt(500)*2 + sqrt(500) + sqrt(500)))**2 + sqrt(500))) + -1.\nAnswer: -2787733 - 3930*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.1. Let s = 2.5 + -3. Let o = 23 - 18. Which is the nearest to t? (a) s (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 0*j**2 + j**2. Suppose 2*z - 325 = -3*z + 5*l, 70 = z + 4*l. Let w(g) = -3*g**2 + 66*g - z*g. Give w(p(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 20 = 11*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, -911, 6 in decreasing order.\nAnswer: 6, 3, 0, -5, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*d**3 - 2*d + 0 - 323*d**2 + 2.\nAnswer: -3*d**3 - 323*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96876109, -96876111, -96876113, -96876115?\nAnswer: -96876117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:59 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -252077, -504148, -756215, -1008278, -1260337?\n\"Answer: 2*m**2 - 252077*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2131 + 1078. Let c = x - 6579. Round c to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 24 + 2*m**2 + 28.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9629534.\nAnswer: 2, 1997, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:20 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*d - 33*d - 22*d as z + b*d and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*2\/7. Suppose -4*k - 7 = -7. Are s and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 2*q. Suppose 2*z - d = -3*z + 209, 128 = 3*z + q*d. What is the remainder when z is divided by 0 - 6*10\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -137 and -7770.2.\nAnswer: -7907.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2029 - -2178. Calculate the remainder when 157 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.367 - -1.4. Let d = -1471.567 + 1467. Let z = d - x. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -239 and 0?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 360?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) -5\/8 (c) 180\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 1034630*r - 2069259\/2.\nAnswer: -(r + 1)*(r + 2069259)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 2. Let h be u(-2). Let f be h\/1 + -7 + 10. Suppose t = 2*t - f. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b + 3. Let t be p(-2). Let y be (-111)\/12 - ((-374)\/88 - (2 + -4)). Let m(u) = u - 6. Let j be m(5). What is the closest to 0.2 in t, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -49. Let j(c) = 2*c**3 - 11*c**2 - 6*c + 2. Let l be j(6). Let f be (-3)\/q - l\/8. What is the second biggest value in f, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1038215 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**3\/5 + 474*l**2\/5 - 216*l\/5 - 19656\/5.\nAnswer: -6*(l - 78)*(l - 7)*(l + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawhhwwhhwwawwb. What is prob of sequence ahb?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 28*i**3 + 9*i**2 + 5420*i. Let p(j) = -9*j**3 - 3*j**2 - 1807*j. Let u(m) = 2*g(m) + 7*p(m). Find the second derivative of u(q) wrt q.\nAnswer: -42*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o - 1. Let k be d(1). Suppose -k*n + 10 = -6*n. What is the greatest common divisor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddxddkkxad. Give prob of picking 1 d and 1 x.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48 - ((2 - 0) + -1 + 2). What is the highest common divisor of u and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 2*k**2 + 2*k**2 + (-4 + 4 - 2*k + 2*k - 3 + 3 + (0 + 2*k + 0)*(2 + 0 - 1) + 0 + 0 - k + k - 2*k - k)*(1 - 1 - 2*k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 44, 115, 214, 341, 496, 679?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 10:31 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 - -0.288. Let r = h - -2.952. Which is the third biggest value? (a) 0 (b) r (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-3) + -1 + 0. Is (-110 + -1)*1\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 570\/(-76) + 4\/(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 1. Let h be z(1). Let b = -38 - -58. Let c be h\/2*24\/b. Solve -2 = 2*w + w + 2*v, -2*w - 3*v - c = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8964*f*i**2*p - f*i*p + 2257*f*i - 12*f*p + 2*i**2*p + 3*i wrt i?\nAnswer: -17928*f*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 3*d**3 - 14 - 5*d + 3*d + 5*d - 21. Let g(y) = -2*y. Calculate g(x(b)).\nAnswer: -18*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = -0*q + 3*q - 5*g, -q + 3*g = -191. What is the highest common divisor of 1725 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3711 divided by 4.\nAnswer: -3711\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let p = 1.7 - m. Let u = -0.1 + 0.2. Which is the closest to u? (a) 3\/7 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 5, 4 in descending order.\nAnswer: 5, 4, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39004\/(-18) - (-2)\/(-3). Let x = v - -2170. Let g = 52303\/10 - 5224. Find the common denominator of x and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147561941?\nAnswer: 147561941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.46569 rounded to 1 decimal place?\nAnswer: -256.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 56. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1554 + -1568. Put -1, f, 2, -2 in descending order.\nAnswer: 2, -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36043104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.9 + 53. Let i = 63 - 63.147. Let n = -0.087 - i. What is the second smallest value in 5\/2, d, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1608.3309 months?\nAnswer: 13.4027575","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87642218?\nAnswer: 2, 43821109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2100) - 3*sqrt(2100)*-1)*-4)\/((sqrt(847) + 3*sqrt(847) - sqrt(847)) + sqrt(35)\/(1*sqrt(5)))*3)**2.\nAnswer: 172800\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(0 - -1) + -42. Let x = h + 44. Suppose -3*p + 7 = 3*f + 2*p, 10 = 3*f + 2*p. Solve f*v + x*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 936, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) -86.3 (b) 3\/4 (c) 2\/7 (d) 0 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*c**3 - c**2 + 22*c**3 - 66*c**3)*(-4 - 1 - 6).\nAnswer: 231*c**3 + 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/5237 = -0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -1, 1\/7, 5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -40393 in ascending order.\nAnswer: -40393, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:59 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (2 + (38 - 6 - 11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Solve j = q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Simplify ((sqrt(121) - -1*sqrt(121))*6*5)\/(sqrt(132)\/sqrt(3)*2).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 325208 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 105*f + 62. Let x(b) = -17*b + 2. Let m(p) = -c(p) - 6*x(p). Calculate m(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*c + 10 = 0, 2*p - 25 = -p - c. Let k(r) = 6*r**2 - p*r**3 + 6 - 3 + 3*r + 5*r. Let d be k(9). Round d to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/82805013 and -55\/55203342.\nAnswer: 165610026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l + 1. Let u = -5 + 9. Let q be d(u). Let m(v) = -2*v + 7 - q*v + 2*v + 2*v. Let o(x) = -2*x + 5. Determine -5*m(c) + 7*o(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + d**4 - 2*d**2 + 0*d**2 + 2*d + 0*d**2 - 3*d**3 in the form n*d**4 + r*d + q*d**2 + f*d**3 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 4, h: 3, w: 8, j: 3}. Give prob of sequence jpa.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9954 = -203*a + 201*a. Round a to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124895512?\nAnswer: 2, 13, 31, 383, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97888487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000870871 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 562814 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/8))**(-22))**(-39) assuming c is positive.\nAnswer: c**(-429\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -531\/10 (b) -0.5 (c) -0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 37. Let k be (-3 - (-4)\/6) + 8\/g. What is the remainder when (-32)\/(-8) + k + 48 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -53*d + 48*d. Let o be d + (-32)\/(-5) + (-6)\/15. Let r(p) = -p**3 + 6*p**2 - 4*p - 3. What is r(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*f - 72 = 0, 8982*c - 9029*c - 113 = -f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v*v**(-2))\/((v**(-1)\/v)\/(v*v\/(v\/v**(-2\/5)))) assuming v is positive.\nAnswer: v**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234548 or -234549?\nAnswer: -234549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4\/5, 6, -3, -0.76?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/15))**(2\/39))**(-20) assuming i is positive.\nAnswer: i**(16\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**2 - 4*u - 24. What is m(-6)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 365 + 808 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - u + 144. Let l be x(-10). Calculate the greatest common factor of l and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141755083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:08 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/24 - w**5\/20 + w**4\/6 + 54*w**2 - w + 6. Let k(v) = 24*v**3 - 14*v**2 + 20*v. Give -3*k(j) + 14*x(j).\nAnswer: -2*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3900 + -1?\nAnswer: -3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 1. Let y be c(1). Suppose -4*v = v - 5*n - 30, -10 = 3*v + y*n. Let m(i) = 2 + i**2 + 0*i**2 - 5*i + 2*i. Determine m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.1 (b) -372 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263088 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/18)\/((j*j*j**(-3)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56730 - -29350. Round v to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9109, -36268, -81571, -145048, -226729, -326644, -444823?\nAnswer: -581296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5410.0381 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 1*sqrt(209)*-4 - (4*2*sqrt(209) - sqrt(209)))*-6)\/(sqrt(539) + sqrt(539)*1 - 3*(sqrt(11) - (sqrt(176) - sqrt(11)) - sqrt(11))).\nAnswer: 60*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20920 and 309093?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a9211a (base 15) in base 16?\nAnswer: 7aee37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by (-151776)\/(-2635) + 8\/(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2906756.\nAnswer: 2, 726689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3962922 - -6678410. Suppose -5*m + 565488 = a. What is m rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153720 = -77*f + 658917. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 7:46 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.86235 millennia in decades?\nAnswer: 3486.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309370941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*d - 18 = -68*d. Let c(q) = q + 14 + q**3 - 4 + 24*q - 8*q**d - 23*q. Determine c(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b - 2*b. Let g(d) = 7*d**2 - 26*d - 231. What is the remainder when g(-6) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14753378 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w**3 + w**2 - 6*w + 1. Let y(k) = -25*k**3 - k**2 + 11*k - 2. Calculate -11*r(n) - 6*y(n).\nAnswer: 7*n**3 - 5*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8577742 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 4*l - 63 = 0. Suppose 100 = -h + l. Let d = h - -115. Calculate the lowest common multiple of d and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.6046 nanometers in kilometers?\nAnswer: 0.0000000003716046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10766, 21732, 32920, 44330?\nAnswer: 55962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-21 + 67 + -21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -745 + 748. Suppose 83 = 3*q - 3*c - 316, 4*c + 403 = x*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2563126*r**3 + 3491915*r**2.\nAnswer: -15378756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4106631020 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 132022212?\nAnswer: 132022223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 + 47*s + 14962. Calculate t(-43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 3*w + 116. Let k be p(0). Let l be 5*(0 + -3 - -4). Suppose -j = -5*j + 2*m + k, -l*j + 145 = 2*m. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/((g**(-2\/7)\/g)\/g))\/g*g)\/g)\/(g*g*g*g*g\/(g*(g*(g*g\/((g**(-6\/7)*g*g)\/g))\/g)\/g*g))*g**(-3\/4)\/(g*g*g**(-2\/9)*g) assuming g is positive.\nAnswer: g**(-601\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 10?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 + 1064*l**4 - 76900*l**3 + 823216*l**2 - 3161792*l + 4129024.\nAnswer: -4*(l - 127)**2*(l - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:24 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by 4\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 56. Put k, 4, 1, 0.01 in decreasing order.\nAnswer: 4, 1, 0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 36*y + 94. Is m(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x**3 + 11*x**2 - 11*x + 11. Let o(p) = -3*p**3 - 2*p**2 + 2*p - 2. Suppose 36*i - 41*i + 20 = 0. Calculate i*c(a) + 22*o(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 7*k + 3. Determine d(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 721423741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 25*n**2 - 9*n - 19. Determine x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1839 - 994. Factor -2*n**3 - l - 2*n**4 + 845.\nAnswer: -2*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzj. Give prob of sequence zh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1563, 3126, 4689, 6252, 7815?\nAnswer: 9378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 5.2. Suppose -185*f + 104*f = -130*f. Which is the closest to f? (a) u (b) -8 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:19 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k**2 + 3*k + 2. Calculate the smallest common multiple of u(-3) and (64\/(-56) - -4)\/(426\/105 + -4).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 10*l - 16. Let x be y(6). Solve -x = 2*z + 5*k, -k - 3 = -3*z + 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 154?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*p**2 + 301*p**2 + 298*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 5. Let h be w(-19). Is -23 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 123855*a + a**2 + 125199*a)*(-7*a**3 + 2*a**3 + 6*a**3).\nAnswer: 2*a**5 + 1344*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000614 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - 4) + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.053 + -0.553. Let f = -82\/219 + 3\/73. Which is the second smallest value? (a) 2.6 (b) 2\/7 (c) j (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0*d - d**3 - 4*d + d - 2*d**2 - 3 + 2*d. Let m be n(-3). Solve 3*q + o = m, -3*o + 22 = 5*q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(16)*-1)\/(sqrt(8) - (sqrt(128)*2 + sqrt(8))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45 - -14) + (-2)\/1. Let c(d) = 3*d**2 - 2*d - 4. Let z(w) = 48*w**2 - 33*w - 66. Let v(o) = j*c(o) + 2*z(o). Let x(l) = -24*l**2. What is v(x(m))?\nAnswer: -1728*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(72)*3 + 5 + 1*sqrt(72) + (sqrt(98) - 4*sqrt(98)*-4 - -3*(sqrt(98) + 0)))**2.\nAnswer: 1540*sqrt(2) + 24249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.2, -1\/4, 7, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 6) + (-7 - -33)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 44591903747?\nAnswer: 44591903746.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 376, 1077, 1996, 3133, 4488, 6061, 7852?\n\"Answer: 109*k**2 + 374*k - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*g + b, -2*g + b = g + 43. Let c(t) = t**3 + 13*t**2 - t - 3. What is the least common multiple of 12 and c(g)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/14)*b**(-25)*b*b*b**44\/b*b**(-1\/35))**(1\/48) assuming b is positive.\nAnswer: b**(1483\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 210, 690, 1628, 3180?\nAnswer: 5502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1362 + -1353. Calculate the greatest common divisor of 6903 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m - 2*d, 0*m + 2*m + d = 5. Suppose m*n - 5*n + 237 = 0. Suppose -5*v = -5*f - 285, 4*v - f - n = -0*v. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose -35 = -b*q + x, 0 = 2*q + q + x - 28. Let s = 18 - q. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-0.308\nAnswer: 0.05236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 39209.53 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2992+225138813512\nAnswer: 225138810520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooddoood. Give prob of sequence odd.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 10*r + 13. Let c be a(-9). Suppose 5*h + 3*q = -2*q - 115, 4*h + 116 = c*q. Let m = 25 + h. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a + 170 + 0*a - 15*a + 218 - 346.\nAnswer: a + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 - 5*i - 4. Let s be w(-3). Let y be 0\/((-8)\/(-14) + 87\/203). Which is the second biggest value? (a) y (b) -2 (c) 2\/17 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**3\/3 - 29*h + 1. Let z(f) = 2*f. What is z(g(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299 - -304. Let m(s) = -3*s**2 + 4*s**2 - 5 + 1 - 5*s. Let w be m(k). Let o(c) = c**3 + 5*c**2 + c - 5. Calculate o(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*o + 14 = -28, -3*p + 63 = o. Let m be 35 - (14\/7)\/1. Let s(f) = -f + 2*f + p - m. Determine s(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 (base 10) in base 9?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3400\/151 and 23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*z**2 - 5016*z + 5016*z)*(7*z**2 + 11 - 11).\nAnswer: -721*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (135\/36)\/3*24480. Round q to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 6:58 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.05 + -10.25. Let o = m + -1.7. Let y = -12.9999993 - o. Round y to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, 1 j, and 1 f when four letters picked without replacement from lfbtllffjjfzffj?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4367*a - 6043*a + 1668*a)*(3 - 6 + 2)*(-5*a + 4*a + 0*a).\nAnswer: -8742*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 53 = 13. Suppose -5*w + 5*x = 10, 5*w - f + 6 = -3*x. Solve -q = w - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212070571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2826 is divided by 309?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2. Let f be 3*(-1)\/3*-1. Let i be (22\/(-5))\/(f + 12\/(-10)). Let w(j) = -10*j**2 + 12 + 10 - i. Determine x(w(r)).\nAnswer: -400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*o - 10 + 16, -3*l + 4*o - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 790 + -790. Solve -4*w + 18 = -z, t = z + 3*z - w + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 + -461 - (151 + -14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -304015, -608045, -912075, -1216105, -1520135?\n\"Answer: -304030*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7258\/445 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/12)\/((-247)\/(-456)). Which is the closest to 4? (a) 0 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -378 * 4\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17972 - 0.11972. Let i = 164 - 653\/4. Which is the second biggest value? (a) 1 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -2\/13, 2, -2, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -52, -13\/2, 2, -3, -3\/10, -1\/3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(192) + sqrt(192) + -3 - (2 + sqrt(192))*-2)**2.\nAnswer: -64*sqrt(3) + 3075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0*a**2 - 284 + a - a**2 + 284. Let z be i(0). Let l be (-15)\/(-35) - (-355)\/(-420). Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/40 - 4536\/1260.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + 0*z**5 + 2*z**5 + (13*z**2 - 13*z**2 + 31*z**3)*(3*z - 3*z - z**2).\nAnswer: -33*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -14. Let h = 11 + f. Suppose -82004 = -2*u - 0*u - 4*q, 3 = h*q. What is u rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiifffffiff. Give prob of picking 3 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2152)\/(-28) - 3\/(-21)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*a + 4*a**2 - 2*a**2 + 155*a.\nAnswer: 2*a**2 + 371*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13936.1 + 13938.1. Let w = 0.27 + 0.03. Put 0.109, z, w in decreasing order.\nAnswer: z, w, 0.109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2 - 6 + 2*n)*(-2*n**2 - 2*n**2 + 2*n**2).\nAnswer: -8*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(13) + 1 + sqrt(1300) + -1*sqrt(1300) + sqrt(1300) - (2 + sqrt(468)\/sqrt(4))))**2.\nAnswer: -432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.51 - -7.71. What is the nearest to 0 in -2\/19, g, 2\/13?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 32*o**2 - 5*o - 4. Let y(d) = 31*d**2 - 4*d - 3. What is -4*j(r) + 5*y(r)?\nAnswer: 27*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 91372391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6020 - -6611.36. Round a to zero decimal places.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.0672?\nAnswer: -0.0328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-6) + 4\/6. Solve -4*z + 5*z = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 + ((-28)\/8)\/(-1). Let o(v) be the second derivative of 5*v + a*v**2 + 0 - 1\/6*v**3. Find the first derivative of o(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -18*o + 156. Solve 4*c - 9 = 6*f - 11*f, c + 1 = o*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6.6. Let v = t + 0.8. What is the second smallest value in v, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 293. Let q = -1.8 - -2. Let r = q + p. What is the biggest value in 5, r, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1120\/144 + (-3 - (-87)\/27). Let b(n) = n**3 - 5*n**2 - 3*n + 8. Let i be b(6). Let z = 29 - i. Solve 3*j = -o + r, -j - z*o = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-84)\/63*2*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - -5. Let u(g) = -g**3 + 27*g**2 - 23*g - 60. Calculate the remainder when b is divided by u(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2080, -5542, -11306, -19372, -29740, -42410?\nAnswer: -57382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27607?\nAnswer: 19, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/105*14\/(-12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 0*r + 5*r)*(-r - 2*r - 2*r)*(2*r - 6*r - 4*r) to the form a*r + b*r**3 + f + p*r**2 and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1136003179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - 26\/(-4). Let p(d) = -d + 7. Let v be p(g). Let i(l) = -1. Let x(q) = q**3 + 2*q**2 + q - 4. Determine v*x(r) - 4*i(r).\nAnswer: r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25268?\nAnswer: 2, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3833956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-210)\/(-50) + (-1)\/5. Suppose f = -f + s. Suppose -5*y = 13 + f. Let j(m) = m - 1. Give j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/88 - 2\/(-4). Let o = 0.02 + 1.98. Let x = 0.3789 + -0.3789. What is the biggest value in d, o, x, -0.03?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3872*x - 3848*x. Let j(m) = -4*m**2 - 4*m + 8. Give j(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, 0, -1, -488 in increasing order.\nAnswer: -488, -5, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 8*o**2 + 10*o - 7. Let d be n(9). Let p be (-10)\/25*-5 + d. Suppose -3*h + 13 = p. Solve m = h*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/1)\/(34\/153). Solve h*m - 13*m - 2*o = 12, 3*m + o + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((1287\/176)\/39).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**2 - g**2)*(0*g - 2*g + 0*g) - 7 + 7 + 153*g**3 - g.\nAnswer: 155*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(7\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 344*m**2. Let f(h) = 8*h. What is f(i(y))?\nAnswer: 2752*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + 18\/2. Let v be (-10 - 2*-1)*-11. Calculate the greatest common divisor of t and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -1 + 0*i - 31\/30*i**5 + i**2 + 0*i**3 + 43\/120*i**6 + 0*i**4. What is the third derivative of x(v) wrt v?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-99)\/(-21) + (-6)\/(-21). Solve -4*q - 7 - 14 = -f*d, 0 = -d - 4*q - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 plus 0.046?\nAnswer: -1.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 14. Let t be z(-7). What is the second derivative of -3*w - 14*w**2 + w**5 + t*w**2 wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 1375 - -1)*50. What is c rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose x + f*x - 12 = 0. Let t = -3\/8 + 5\/8. Sort t, x, -4\/5 in increasing order.\nAnswer: -4\/5, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 4. Let g = -21 - -18. Let u be l(g). Solve 38 + 10 + 3*m**u + 0*m**2 + 24*m = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 - 186231*l + 2048662 = 0. What is l?\nAnswer: -186242, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 3, h: 2, n: 8}. What is prob of sequence nhf?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/3)\/(4580\/(-5496))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 5, -2\/59, 4, 0.4?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08417655 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122 divided by -374.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2370\/22120*20\/(-90)*(-2)\/2*3.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -125 and -30119\/242 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/((-1)\/66). Suppose -4*w = 3*f - 211, -34*w + 30*w + 221 = 5*f. Let a = w + r. Solve -3 = 3*s, -4*u - 4*s + 5 = -a*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2 + 70354376*j - 309358638896836 = 0.\nAnswer: 8794297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.81*6320543.\nAnswer: 11440182.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzxxvzvzv. Give prob of picking 4 z.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 2*w**2 - w + 3*w**3 + 3*w - w**2. Let p be f(2). Suppose -b + 0*b + 7 = k, -p = -4*b - 2*k. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + 9 + -19 + 10 - 17) + 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 10. Suppose -h = -3*q - 5*y, q - 68 = -2*q - y. Solve -4*a - w + 2*w + 21 = 0, -4*a + 2*w = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 3. Let z be q(1). Suppose 4*d - c = z, c = -8*d + 3*d - 9. Is -2\/69 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -58*f**2 + f - 5. Let p(i) = 1. Let s(j) = -3*p(j) - v(j). Is s(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112376295 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.071 * -1.\nAnswer: 64.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1870690 by -2.\nAnswer: 935345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 9 + (-1405)\/(-120))*-4 - (-18)\/(-108).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14997030 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11913 divided by -7677\nAnswer: 3971\/2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 828395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 182\/11*n + 2\/11*n**3 + 90\/11 + 94\/11*n**2.\nAnswer: 2*(n + 1)**2*(n + 45)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9008*f**2 - 126113*f - 16. Calculate i(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*v - 2*v**4 - 1743*v**2 + 7*v**3 + 0 + 1742*v**2 + 0 as x + l*v**3 + d*v**2 + h*v + u*v**4 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1234874*c**3 + 1289431*c**2 wrt c?\nAnswer: -7409244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312978 and 792.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/792 + 1668\/540 + (-64)\/20.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43303 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 2*m**2 + 10*m**2 - 3*m**2 to the form o*m**2 + s + t*m and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14527726 - -14529393.62212. Let h = -1682.7221137 + s. Let p = h + 15.1. What is p rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.454354 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-140)\/(-21) - 5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(34) + -2*(sqrt(68)\/sqrt(2) + sqrt(34)))*5)\/(5*(sqrt(18)*-2 - sqrt(2) - 2*sqrt(128))).\nAnswer: 5*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.05, -14.809 in decreasing order.\nAnswer: 0.05, -0.2, -14.809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53684808*k - 188746687 with respect to k.\nAnswer: -53684808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22773, -22656, -22539, -22422, -22305?\n\"Answer: 117*b - 22890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -382\nAnswer: 26.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21405934391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.2. Let z = s - -0.29976. Round z to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 18471167 + 420544878 = 0. Suppose -b + 21402639 = -5*m. Suppose m = 4*o - 5719886. What is o rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 77050461 and 229712.\nAnswer: 77280173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**3\/6 - 2*u**2 + 61*u. Determine t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + -12 - (-3038)\/496 and 8\/267.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + 32. Suppose -a = 17*w - 2. Put 0, -1, w, -4 in decreasing order.\nAnswer: 0, -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*x + 4*x**2 - 2*x**2 - 2*x)*(49 + 197 - 1226*x - 247) in the form k*x**3 + o*x + a*x**2 + l and give a.\nAnswer: -6132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazllalzzz. Give prob of picking 2 z and 1 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*y = -436*y - 5. Suppose 3*q = -2*a + 3191, 3*a + y*q - 3201 = a. What are the prime factors of a?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250015 and 88715.\nAnswer: 2750165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, 0, -35 in increasing order.\nAnswer: -35, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 7. Let u be f(-9). Let x be (-1)\/2 - (-26)\/4. Calculate the highest common divisor of u and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/36 and (3\/36)\/((-4*12)\/(-4)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + (106 - 115) - -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 1, -4, 4 in ascending order.\nAnswer: -6, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*u - 2*u - 132 = 0, 0 = 4*u - 12. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13127923 and 580?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5817 + 3.235.\nAnswer: 2.6533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 21, -2\/13 in increasing order.\nAnswer: -2\/13, 0.05, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13851*h**3 - 130129*h - 2.\nAnswer: -83106*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5894, 5778, 5674, 5588, 5526, 5494, 5498?\n\"Answer: q**3 - 123*q + 6016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 385. Suppose -49*g + 44*g + u = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6513 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10088933?\nAnswer: 1063, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4945 and 7751.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/88 and -127\/71346?\nAnswer: 285384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 108. Suppose -d + 2*g + i = 5*g, 3*d - 60 = 3*g. Suppose d = 4*m - 20. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2610 - 2631. What is the closest to 2\/9 in -3, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55408 is divided by 2184?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 12. Find the common denominator of 91\/10 and (39\/(-12))\/(h\/40).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/3828577 or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2576 and 125\/7084?\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (9 + -3 - (5 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 times -9426?\nAnswer: 301.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + 15219. What are the prime factors of h?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**2 + 21444079*j - 284063064 wrt j.\nAnswer: -2*j + 21444079","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, z: 1, x: 4, v: 2, t: 1, y: 3}. Give prob of sequence xx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77961029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 4 (c) -1\/11 (d) 5\/833 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 765017592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 + 3*x**2 + 5*x - 1 to the form i + f*x + m*x**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.65129 and 5350140.\nAnswer: 5350140.65129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 2*m. Suppose 4*c + 20 = 0, -y - y - 3*c = -1. Suppose 6*p + y = 26. Let v be -5 + 6 + 2 - (p - 2). Calculate i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:47 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cdc7a (base 15) in base 5?\nAnswer: 1024013230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:22 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 29. Let q be i(5). What is the first derivative of 0 - 12*u + 12*u - 21*u + q wrt u?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h - 17. Suppose 126 = -f - 6*f. What is the remainder when k(f) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 290 - q - 395 + 167 in the form v + t*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q + 7*q)*(-5*q + 2*q + 2*q + (-4*q + 2*q + 3*q)*(-2 + 4 - 3)) + (1 - 1 - q)*(-2*q - 2*q + 3*q).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 111572*c + 1556038898.\nAnswer: 2*(c - 27893)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 1249649. Let s be i(0). Let j = s + -596582. Let y = j + 3146231. What is y rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 15. What is the closest to q in 0.4, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32524004 (base 6) to base 7.\nAnswer: -11201623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 5, x: 2}. Give prob of sequence xonx.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22, 0, -11, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 13. Let g be -7*r\/((-315)\/(-50)). What is the second derivative of -4*x + 12*x**2 - g*x - 31*x**2 wrt x?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. What is the third derivative of v - n**5 - n**2 - 1 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5008339.\nAnswer: 7, 43, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/9 - 5\/3. Let n = 899 - 898. Let f = 0.42 + -0.02. Sort n, s, f, -5 in descending order.\nAnswer: n, f, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 17*y + 6*y - 60 + 129.\nAnswer: -11*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9460, 18822, 28166, 37486, 46776, 56030, 65242?\nAnswer: 74406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 - 2*m + 37 + 40)*(-26 + 29 + 62) as s + r*m and give r.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 23 - 260*w + 97*w)*(-27*w + 192 - 192 + (-5*w + 3*w + 0*w)*(-2 + 0 + 3)).\nAnswer: 4727*w**2 - 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1603 and 10.\nAnswer: 16030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x**2 - 342*x + 387. Give q(36).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -55. Let t = 1\/802 + -16059\/15238. Let n = -121\/133 - t. Which is the third biggest value? (a) -1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3284.50442 rounded to 0 decimal places?\nAnswer: -3285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -1.28. Let t = u - -1. Let m = t - -0.25. Which is the nearest to 0.1? (a) m (b) 0.01 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4 - -1) + 363\/22. Find the first derivative of o + 16 - 2*b**4 - b**4 wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 2004212240?\nAnswer: -2004212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 430\/35 + 2\/(-7). Which is greater: w or 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 less than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 2*n)*(4 - 5 + 0)*(2 + 0 - 4)*(-241 + 209*n**3 + 241 + (n**3 - 4*n**3 + 2*n**3)*(-1 + 2 + 1)).\nAnswer: 828*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 923\/8 + -114. What is the common denominator of x and -5\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-8)*q*q*q*q\/((q\/(q*q**(3\/5)*q))\/q))\/((q*q*q**7*q*q*q)\/(q**(2\/9)\/q)))**33)**(-22) assuming q is positive.\nAnswer: q**(154396\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 - (-2 + (3306\/(-3) - -3))?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*b + 7837 = 8371. Solve 0 = 4*c - 4*w, 23 - 19 = -b*c + w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/210*2 + 45\/(-105). Let a(p) = -p - 2. Let f be a(-1). What is the biggest value in b, f, -2\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1387966108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6740 and -87\/1340?\nAnswer: 451580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12402, -12191, -11978, -11763?\nAnswer: -11546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 1. Let i(p) = 4*p**3 + 5*p**2 - 4*p + 7. Let n(u) = -5*g(u) + i(u). Let r = 13 - 10. What is the remainder when 30 is divided by n(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/2 (c) -3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3 + 170264*j**2 - 340540*j + 170272 = 0?\nAnswer: -42568, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 19*m - 2320 = 0. Suppose -2*y + 132 = -m. What is the remainder when y is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 + 1111011?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 24 + 4. Suppose g*q = 4036 + 1872. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(196)*-1 + 4*(sqrt(196) + sqrt(196)*1 + sqrt(196) + sqrt(196)))\/(-2*(sqrt(84)\/sqrt(6))\/sqrt(2)).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 1770.\nAnswer: 60180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-1519)\/(-14))*-49?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22488088 and -95\/5545008.\nAnswer: 404785584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -17*p**3 + 9*p**2 - 13*p + 17. Suppose -5*l - 11*l = -32. Let u(s) = 4 + s**2 - s - 4*s**3 + s**2 - 2*s. Give l*g(f) - 9*u(f).\nAnswer: 2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + h - 2*h - 8, -3*h = 4*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 2*i + 6. Let n be w(3). Suppose -n = 3*o, -2*p + 3*o - 547 = -4412. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c - 44. Let o(u) = 7*u + 45. Let y(w) = 5*n(w) + 6*o(w). Let x be y(-18). Solve -4*i - 3*s = 14, 0*i + 4*s + x = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*k*r*w**3 + 38*k*r + k*w**2 + k - 4*r*w**3 + 11*r*w + 5*w**2 - 1 wrt w?\nAnswer: -192*k*r*w + 2*k - 24*r*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2118860 divided by 3\nAnswer: -2118860\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57620, -57626, -57642, -57674, -57728, -57810?\nAnswer: -57926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - (-444)\/14. Let k(t) = -261*t + 91. Let h be k(-1). What is the greatest common factor of s and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21056, 21106, 21226, 21446, 21796, 22306?\nAnswer: 23006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 10) to base 8.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00523421 - -255.26728421. Let s = 254.17204765 - u. Let r = -1.09 - s. What is r rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (-20 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**4 - 453700*m**3 + 10290369540*m**2 + 82344735200*m + 164703990080 = 0.\nAnswer: -4, 45374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2924 (base 11) in base 9?\nAnswer: -5156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.8289 times 6\nAnswer: -16.9734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -5 (c) 2\/11 (d) 0.872\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241153.2 - 241142.20069. Let w = 0.15 + -11.15. Let m = k + w. Round m to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3449.154 + 3453. Let i = k + -3.8. What is i rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1.1 (c) -4\/3 (d) -1.52 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -1\/2 - 1\/4*y**3 - 1\/4*y**4 + 1\/4*y + 3\/4*y**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3905*y**2 + 224*y - 15. Let t be n(-15). Round t to the nearest ten thousand.\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28891*v - 75411 = -27568*v for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8874 + 172*l**3 + 0*l**2 - 164*l**3 + 0*l**2 + 8874.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 11264.\nAnswer: 101376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(98) + 0) - (-4 + (sqrt(56)\/sqrt(7))\/sqrt(4)))*6*5)**2.\nAnswer: -108000*sqrt(2) + 419400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2578432, 5156842, 7735252, 10313662, 12892072, 15470482?\nAnswer: 18048892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -13 + 25 - (-7 - (-2 + 4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*m - 6, -2*x - 7 = 2*m + m. Suppose -x*h = -2*h - 4. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((10\/33)\/(-5)). Let t = -7 + n. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ldlldlll.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 11*b**2 + b - 6. What is the lowest common multiple of 11 and z(11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p. Let u(t) = 14*t**2 - 17*t. Let a(y) = 5*y**2 - 6*y. Let h(m) = 17*a(m) - 6*u(m). Give h(n(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -21*z. Let u(s) = -4090*s. Determine l(u(q)).\nAnswer: 85890*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 + o**2 - 2*o + 1. Let q be y(1). Let j be q*3*2\/(-63). Let k = -12 + 16. What is the closest to 0 in k, -3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 0. Let u be (-24)\/16*20\/(-6). Suppose 1 = -5*l + v - 0, 0 = u*l + 5*v - 5. Solve 0 = 3*g + o*n - 7, 2*g - 3 = -l*n - 3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5cb1 + -1?\nAnswer: -5cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -903*g + 897*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3258, 3257, 3256, 3255, 3254?\n\"Answer: -m + 3259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 at most -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from qgehhhgqhheghgeeeqe.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*j - 508*j + 2541*j - 512*j - 507*j - 514*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 469*v**2 + 469*v**2 - 49*v**3 - 22*v**3.\nAnswer: -76*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 3*s**3 + 149 + 4279*s**2 - 2*s - 4277*s**2 to w + n*s + v*s**2 + o*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 365749500 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjqjvvvs. Give prob of picking 2 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -316500081\/12047645 - -16\/141737. Let f = t + 129\/5. Let a be 1120\/(-140) + 3\/6*14. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4 (b) 0.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i - 136. Let s be g(9). Let x = -370 + 371. Which is the closest to s? (a) x (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131018 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 5*r = -32*r + 2145 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1299922 + 653900. Let j = 454756 - 750778. Let r = n - j. Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 19 (c) -4\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.143 - 0.043. Let x = 5 + -1. Which is the smallest value? (a) x (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*i**3 + 14*i**2 - 6*i**2 - 8*i**2.\nAnswer: 314*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + (-2 - -1))\/(4\/(-3)). Let f be (1 - 5)\/(1\/(-2)). Let t = f - k. Solve -5*d + 15 = t*l, 2*l + 3*d = -2*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 + -271 - (-1 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 s, and 1 e when four letters picked without replacement from {s: 2, e: 2, l: 8}?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 48.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)\/((-24)\/13512). Does 7 divide (f - -1)*(-1)\/4*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 1132 = 3*z - g, 5*z + 4*g = 2042. Suppose 411*d - z*d - 20 = 0. Let k = -11.4 - 0.6. Which is the nearest to 0? (a) 2\/3 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 2551682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.1, -5\/3, -0.04?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, -262, -518, -756, -970, -1154, -1302, -1408?\n\"Answer: b**3 - 275*b + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2687586.5 - -323262.\nAnswer: -2364324.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18929 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302082.06*2.\nAnswer: 604164.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1392837 and 32\/477.\nAnswer: 221461083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*j - 13*j - 5, -4*f - 5*j + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let o(c) = 225*c**2 + 600*c. Let n(x) = -2*x. Let m(b) = 300*n(b) + o(b). Give i(m(f)).\nAnswer: 101250*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 5*o**2 + 5*o**2 + (-2*o + 0 + 0)*(-2 - o + 2) - 5*o**2 + 4*o**2 + 9*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)\/(-2) - -5. Factor -d**4 + 5*d**4 - d**2 - r*d**4 + 2*d**3.\nAnswer: -d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 2*z - 10. Let l(w) = -5*w**2 - 2*w + 8. Suppose 28 = -333*u + 326*u. Let r(g) = u*q(g) - 5*l(g). Factor r(y).\nAnswer: y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13351 is divided by 2651?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12523856 and 819928.\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:06 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 23*q + 651. Let c(i) = -21*i - 649. Give -4*c(v) - 3*g(v).\nAnswer: 15*v + 643","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p - 2*l - 15, -20 = -5*l. Calculate the remainder when 39 is divided by 19 - (5 + p + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 37. Let r be n(11). Suppose 0 = -c + 11 - 1. What is the highest common factor of r and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 15*u**2 - 12*u**2 - 13*u**2 - 5*u**2 + 40*u**2 - 11*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194873507.\nAnswer: 3, 311, 426893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 87\/31354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 2, a: 9}. Give prob of sequence mhah.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -134*k - 82. Let d(f) = -2*f + 1. Let i(m) = -2*d(m) - n(m). What is the derivative of i(t) wrt t?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/173 (b) -3 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p + 74*p = -5*h + 50, p = 19*h - 86 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 3. Let a(v) = 2*v**2 - v + 4. Let r(y) = -3*a(y) - 4*w(y). Is r(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/5, -0.4, -2\/21 in descending order.\nAnswer: -2\/21, -1\/5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w - 3. Let r(p) = 98*p**2 + 8*p + 12. Calculate -5*a(d) - r(d).\nAnswer: -103*d**2 - 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 k when three letters picked without replacement from okkkkkkokko.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 16. What is the units digit of ((-441)\/(-14))\/(s\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - -10.07. Let y = 197012 - 197022.00014. Let n = y + q. Round n to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2395686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2086)\/(-1192)*(-10)\/14\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.3122.\nAnswer: -4.6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((115 - 90) + -1 + 8)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, c: 2}. Give prob of sequence xxxx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51446 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -28. Suppose d*w + 1 + 20 = 0. Let g be 2 + 2 - (w - -1). Solve 0 = -j + g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/3185)\/((-6)\/(-30))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63151 or -63349?\nAnswer: -63349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 399\/9 - 2*(-1)\/3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 849.191 - 428.7.\nAnswer: 420.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 3433518855255.\nAnswer: 3433518855253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595293, -2381235, -5357805, -9525003, -14882829?\nAnswer: -21431283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 110\/25 - (-3)\/5. Suppose 19 + 18 = 3*s - d*c, 3*c = 3*s - 27. Let f be (-84)\/(-3)*(1 + s\/(-8)). Calculate the highest common divisor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6925 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 - 18*c**3 + 31*c**2 + 18*c - 32 = 0. Calculate c.\nAnswer: -1, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19404 - -19407. Let i(w) = 5*w**2 + 4*w - 5. Let z(c) = -4*c + 8 + c - 4*c**2 - 4. Give a*z(t) + 2*i(t).\nAnswer: -2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 15*h**3 + 24*h**2 + 12*h.\nAnswer: 3*h*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78)\/(-117) - 76432\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -29161392.\nAnswer: 5\/29161392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -35 + 37 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 2, r: 5, a: 3, q: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:22 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 84\/(-135)*-10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 10 - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.28468472 to three dps.\nAnswer: -2.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*h**2 - 2\/9*h + 2\/9*h**3 - 2\/9 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v*v*v**(-1\/2))\/(v**(-2\/7)*v**(-1)))\/((v**1)**(-3\/16)\/((v\/((v**(-4)\/v)\/v))\/v**(-3\/5))) assuming v is positive.\nAnswer: v**(5921\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*s + 568*s + 4 = 0, -90502 = -4*i - 9*s. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.701 - 0.201. Let s = 160 + -165. What is the closest to -3\/2 in s, 1\/9, c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9460175 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/14)\/(-3))\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k\/(k*k*(k**(-2\/5)\/k)\/k*k*k*k))\/(k*k*k*k**(-1\/2)*k\/k**(-4)*k)*k**(-2\/5)\/(k*k**2\/k*k)*((k\/k**2)\/k)\/k**(2\/17) assuming k is positive.\nAnswer: k**(-361\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -659347, -5274769, -17802343, -42198145, -82418251, -142418737?\n\"Answer: -659346*l**3 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 10*f**2 - 4*f - 8. Let y be l(11). Let a = -663 + y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 66. Suppose l*m - 33 = m. Solve -2*n = -m*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 1200 = -15*t. Is 40 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/(s*s\/(((s*s*s**(-3\/10)*s*s)\/s)\/s)))\/s)*(s**(1\/3)*s)\/s*s*s**(-3)\/s**(-3\/5))**32)**(-2\/43) assuming s is positive.\nAnswer: s**(-1184\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 2*i - 4*f, -3*i = 2*f + 2*f - 159. Suppose i = 5*t - 101. Suppose a + 12 = 5*a - 4*d, -5*d + t = 4*a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + (5 + 4*sqrt(833) - sqrt(833)) + 3 + 3 + sqrt(833))*-1)**2*-5*6.\nAnswer: -628380 - 23100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + h + 1. Let r(o) = -8*o**2 - 5*o - 5. Let l = 79 - 85. Give l*i(s) - r(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.56177224 to 4 dps.\nAnswer: -4.5618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 926\/5 + -186. Let j be (-15)\/(-20)*(288\/(-720))\/((-3)\/5). Which is the nearest to j? (a) 0.5 (b) 4\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*q + 14 = -8, w - 7 = 3*q. Let x = 9 + w. What is the third derivative of -2*r**2 + r**x - r**4 + r**5 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.49 - -0.76. Let y = -1.512 + 1.73. Let w = y - b. Round w to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3380623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**2 - 2 - 11*b**3 + 6*b**4 - 6*b**2 - 7*b**2 + 0*b**2 to the form x*b + n*b**2 + d*b**4 + i + f*b**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8524197 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505528, -505557, -505586, -505615, -505644, -505673?\nAnswer: -505702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -593 + 593. Suppose s = -4*m + 2710 + 1286. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -397\/965698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -59, -121, -197, -281, -367, -449?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 2*x**5\/5 - 7*x**2\/2 - 40. Find the second derivative of g(n) wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10111100101110100?\nAnswer: -10111100101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 341 + 467 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 4.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*a**2*i*u + 819*a**2*u**2 + 6*a**2*u - 2*a*i*u**2 - 45*i*u + 5*u**2 + u wrt u.\nAnswer: 1638*a**2 - 4*a*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3529717 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4705 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/((-2)\/(-54)). Let i = v - -19. Calculate the common denominator of -149\/6 and i\/(-20) + (-242)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25101866 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Suppose -k + c = 2*c - 7, 4 = -2*k + 4*c. Let i be (20\/4 + -3)*k. Let z(s) = -2*s**2 + i*s**2 - s**2. Give o(z(j)).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 894*l - 892*l - 1254. Does 57 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, n: 6, x: 5, b: 1}. Give prob of picking 1 x, 1 w, and 1 n.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 89*r + 929. Give q(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(275) + -2 + sqrt(11) + sqrt(11) + 0 + sqrt(11) + sqrt(11))**2 - (((sqrt(704) + sqrt(704)*-1)**2*6 - sqrt(704)) + -5).\nAnswer: -82*sqrt(11) + 921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-10) + 1\/2. Let b be 84\/(-56)*8\/6. Sort b, -2\/7, 6, z.\nAnswer: b, -2\/7, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 13*d - 11*d**2 - 4 + 8 + 13*d**2. Let k be f(-4). Which is greater: k or -17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = -2*j. Suppose 0 = 5*l - 4*b - 3 + 14, 5*l + b = -16. Let d be l\/(-18) - (-33)\/18. Solve -o + 3*w = -2, 4*o + j*w - 10 = -d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 724, 1541, 2644, 4021, 5660, 7549, 9676?\nAnswer: 12029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -193723 and 294.\nAnswer: -56954562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u - 21. Let k be (-30)\/14 - u\/7. Let n = 184 - 187. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7221329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49742384 and 18908?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -0.2 (c) -1\/4 (d) -36 (e) 0 (f) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1881646 divided by -39.\nAnswer: 144742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0, 1301, -28, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 6*y + 178. What is the remainder when 55 is divided by y\/2*6\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18 = 5. Let k = 1124 - 1034. Calculate the remainder when k is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 12*j + 4. Calculate p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3909 - 3*d**3 + 4052 - 7961.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47774 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1041201 - -331?\nAnswer: -1040320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1429 - 1.1429. What is the second smallest value in -2\/11, b, 2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 66017645?\nAnswer: 66017641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 3. What is a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -4, 3315, 0?\nAnswer: 3315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*k = -2*k - 25, 2*k = 3*g + 77. Find the common denominator of 10\/27 and (-37)\/g*4\/72*6.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 69*m - 317. What is p(5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**14*s*s**(7\/3) assuming s is positive.\nAnswer: s**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*l**4 - 143570*l**3 + 3*l**2 + 135048285*l wrt l?\nAnswer: 396*l**2 - 861420*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3306026207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -15)*9\/5. Let b(p) = -p**2 + p - 2. Let a be b(-2). Let y = u - a. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -26126073?\nAnswer: -26126101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.6 + -9. Let w = 0.9 + h. Which is the biggest value? (a) w (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -5, -1, 4, -4.\nAnswer: -5, -4, -1, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1836762 + -0.2.\nAnswer: 1836761.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + -1 + sqrt(275) + -1 + (2*sqrt(275) + sqrt(275))*5 + (sqrt(275) + -1 + -2 + 3)*-3))**2.\nAnswer: -3510*sqrt(11) + 418356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = -0*x. Let a(s) = 2 + 0*s**2 + s**2 - x*s + 4*s. Let c be ((-222)\/(-148)*(-2)\/4)\/((-6)\/32). Give a(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311\/1529 - -3\/139. Which is greater: 3\/2 or q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 3*b**2 - b + 2. Let t = 21 + -19. Give q(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2)*x*x*x)**6*(x**(-2\/7)\/x)**(1\/18) assuming x is positive.\nAnswer: x**(251\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 346840?\nAnswer: 346840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siiyyzcsccsccdiis. What is prob of sequence dsy?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*c - 53*c + 170*c + 1195 - 54*c - 1799*c**2 wrt c.\nAnswer: -3598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaas when four letters picked without replacement from {j: 1, a: 12, s: 5}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1\/385, -4\/7, -1, 0.3, 11.\nAnswer: -1, -4\/7, -1\/385, 0.3, 11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/9 - 1858*h**3\/9 + 2034*h**2 + 67954*h\/9 + 47788\/9 = 0.\nAnswer: -2, -1, 13, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2456504766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/544, -0.5, -2, 2, 0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/247 - 1*633\/57.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48961850 to the nearest one hundred thousand.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.628693 + -1.478794. Let x = -85.85 + 88. Let y = x - p. Round y to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26213 - 14475. List the prime factors of x.\nAnswer: 2, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -847 + -31343122.\nAnswer: -31343969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 3*q + 0*q + (-2*q + 3*q - 3*q)*(-4 + 3 + 2))*(-4 - 1 + 4)*(-10471 + 10471 + 864*q) to o*q**2 + j*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 260.\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4980 and 3765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 88. Let i = 18 - c. Calculate the least common multiple of 2 and 2 - 6\/(i\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -20*l**2 - 8678*l + 26031. Give j(3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3 + 165*l**2 + 12817*l - 97461 = 0.\nAnswer: -63, 7, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/9 and ((-1)\/(-3))\/(126\/(-490)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 1\/114188, -0.4 in decreasing order.\nAnswer: 1\/114188, -0.21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let k(c) = -2465*c**2 + c - 1. Determine k(s(h)).\nAnswer: -2465*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, 1 r, and 1 b when four letters picked without replacement from zbzrtztzbzrzzbzz.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153395 and 3245.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28956 divided by 254\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhtvvvvvthvhvhtv. What is prob of picking 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 633.5 - 633.5. What is the third smallest value in f, 0.5, -12, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 489098 and 1098.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26020180 to the power of 1\/2, to the nearest integer?\nAnswer: 5101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2350, -4742, -7136, -9532, -11930, -14330, -16732?\n\"Answer: -g**2 - 2389*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36940049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(5\/(-2)) + 91 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erjeryqeeqqqqqrqq. What is prob of sequence rj?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/84 and 89\/308?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -425, -179, -3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 6*a**3 + 71 - 124.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1549, -3571, -5593, -7615, -9637, -11659?\nAnswer: -13681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v + 27*v + 6*v + 1. Suppose 2*o - 293 + 291 = 0. Is 10 a factor of x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1275, 113, 1302 in descending order.\nAnswer: 1302, 1275, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 456, 593, 656, 639, 536, 341, 48?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + t**2 + 4*t**2 - 3*t**2 - 2*t**2 - 6*t**2 + (-2 + 2*t**2 + 2)*(6 - 4 - 3) - 12*t**2 + 0*t**2 - 4*t**2 to a*t + f + w*t**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 346457055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 8*r**2 - 8*r + 10. Let i be k(7). Let j(f) = 5*f - 2. Let h be j(1). Calculate the highest common divisor of h and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/7 and -46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2. Let f(j) = -5*j**2 + 60*j - 450. Let t(n) = -3*b(n) - f(n). Factor t(c).\nAnswer: 2*(c - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 591249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26398382399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3 - 2 - 21*c + 4. Let n(q) = -2*q - 2*q + 0*q. Let s be 2\/(-8) - 86\/8. Calculate s*n(w) + 2*b(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -42*o - 20. Let l(w) = 15*w + 4. Let r(j) = -i(j) - 3*l(j). Determine r(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86963\/20 + 4353. Calculate the common denominator of l and 77\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -1944?\nAnswer: -1944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 541929. Let p(b) = 24*b. Calculate l(p(k)).\nAnswer: 48*k + 541929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 take away 222?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/21 and -113\/7164?\nAnswer: 50148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*f - 727. Factor a**2 + 97*a - f*a + 96*a - 3.\nAnswer: (a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(700) - (-1 + sqrt(700))))**2 - (sqrt(847) + 5 + (sqrt(847) - ((1 + sqrt(847))**2 + sqrt(847)))).\nAnswer: 11*sqrt(7) + 879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j + 11. Let y be w(4). Calculate the highest common factor of y and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/11 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) - 11\/(-2). Let y be k - (4 + (-5 - 2)). Suppose 0 = 5*l - y*l - 36. Sort l, -3\/5, 2.\nAnswer: l, -3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2112 (base 3) to base 5\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = -1. Let u = -3 - -3. Let i be (-4)\/(-8) + (0 - u). What is the second smallest value in d, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -497\/110725 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r + 4*s - 16, -5*s - 5 = 0. Solve -12 = r*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.22102324, 0 in increasing order.\nAnswer: 0, 0.22102324, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 444701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1102, -1651, -2066, -2281, -2230, -1847, -1066, 179?\n\"Answer: 11*p**3 + p**2 - 629*p - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*138\/23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + s - 1484*s**2 + 1218 - 845.\nAnswer: -1484*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198187452 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/14)\/((-2)\/(-4)). Calculate the remainder when (-3)\/(5\/(25\/f)) is divided by (-32)\/(-14) - 4\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 + 12*r + 267. Let f(l) = l**2 + 3*l + 67. What is 15*f(q) - 4*j(q)?\nAnswer: -q**2 - 3*q - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*y + 3, -2*a - 14 + 8 = 4*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39958 or 839098\/21?\nAnswer: 39958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27051 is divided by 1932.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206932.\nAnswer: 2, 11, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17\/8, 0.1, -87042, -2, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -436*m + 1296*m + 6880 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -8, 2\/9 in ascending order.\nAnswer: -8, -3, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {d: 9, n: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.804 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -47. Suppose -4*q - a*m = -404, -5*q = -q - 2*m - 412. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*g = 13, -a + 8 = -0*a + 2*g. Suppose 4*v - 9 = 3*t, a*v + 2*t + 6 = -0*v. Suppose -m + 5 + 110 = v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23113 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0\/(0 - (-3)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Suppose -5*f = -4*d + 1 - 16, 3*d - 9 = -y*f. Let g(x) = 3*x**2 + x + 3. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 + 0 + 1\/4*r**3 + r = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + d + 45, 4*g = 3*d + 95. Suppose -4*z = z - g. Let k = 0 - -3. Solve -z*s + 2*s - 2*x - 16 = 0, 11 = k*s - 4*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 821 by -4.\nAnswer: -821\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/16 - -39*(-30)\/(-48). Let k = -55 + -64. Let b = 239 + k. Calculate the highest common divisor of w and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hsttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 4:25 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 11:12 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/2 - 7435*w**4\/2 - 6870767*w**3 + 145459212*w**2 - 874767744*w + 1500982272 = 0. What is w?\nAnswer: -3728, 3, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -643 + 1093. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -c + 48 + 26, -3*c = 2*x - 40. Let h be ((-28)\/98)\/(4\/(-14)). Let m = x + h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 116373056915\/10660 - 4\/(-26). Let y = -10916638 + w. Let i = 637\/4 - y. Is i <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -311, -1053, -2497, -4877?\nAnswer: -8427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 1809.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29023 + -19496. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 1. Let o(u) = 9*u - 3. Let n(y) = -o(y) + 6*r(y). Let p = -3 + -1. Let b be n(p). Calculate the greatest common divisor of 84 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6587 + 6560 = 0. Solve -2*x + 42*b - 39*b = -9, 0 = -5*x - 3*b - k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -142. Solve 2*y + 1 + 1 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 106.9549ml?\nAnswer: 0.1069549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 362201.2l in millilitres?\nAnswer: 362201200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -14. Let l be (4\/18)\/(-1 + q). Let p be -1 + (2 - (1 - 0)). What is the closest to p in l, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 1. Let d(s) = s**3 - 5*s**2 + 6*s - 9. Let z be d(4). Let h(q) = 3*q + 1. Determine z*h(l) + 2*w(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 + (-1406)\/10. Let o = 139 + y. Let j = -4 + 4. What is the closest to j in o, 1, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 30*m - 9 = 0. Let o be m*((-4)\/(-14) - (-220)\/(-525)). Let x = 0.2 - 0.9. Which is bigger: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 9*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155979028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.133437 and 10.\nAnswer: 9.866563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {b: 2, l: 1, r: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*z**2 - 46*z**3 + 101*z**2 + (1 - 2*z**2 - 1)*(-2*z + 2*z + z) + 19*z**2 - 14*z**3 - 19*z**2 + 3.\nAnswer: -62*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -20*h + 5940. What is the lowest common multiple of 60 and h?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11152 + 11152. Sort 421, 6, u in ascending order.\nAnswer: u, 6, 421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/(-6)*(-14)\/35. Suppose 18*g = m*g - 2873. What is g rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 19*v - 88. Let x be d(23). Suppose 2*z + x*m = m - 23, 4*m = 20. Put 2, 4, 1, z in ascending order.\nAnswer: z, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 382*i - 244. Calculate the remainder when u(4) is divided by 129.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/105 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 245, 838, 1991, 3890?\nAnswer: 6721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 792?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/17890800 and -19\/2236350?\nAnswer: 17890800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 divided by -6?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 2)*11\/(-33)*-5. Let o(y) = -245*y**2 + 2*y - 3. Let w be o(z). Let c be w\/616 - 2\/(-11). Which is greater: c or -11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 10*n**2 - n + 21. Let v be t(10). Suppose 2 = -k + 35. Calculate the highest common divisor of k and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 29791782*-2\nAnswer: -59583564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14d9 (base 16) to base 14\nAnswer: -1d33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -29. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1247.\nAnswer: 4\/1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -14*q + 27. Let y(l) = 163*l**2 + 17*l + 3. Is y(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*z = -119*z + 48. Is -13 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o + 4. Let j be 0*(-4)\/(-16) + 1. Let c(h) = 2*h**2 + 2*h. Let a be c(j). Does 12 divide p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 48. Suppose 0 = 6*z + 25 + 29. Let p be v(z). What is the common denominator of 11\/(-10)*10\/((-20)\/p) and -38\/9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0 - 5 + 4 + 2 - d. Let x(s) = -s**2 - 5*s + 5. Let n be x(-5). Let r(p) = 6*p - 5. Let y(v) = n*a(v) + r(v). Let o(b) = -2*b. Calculate y(o(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31903?\nAnswer: 61, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 9:49 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725, 1452, 2179?\nAnswer: 2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32 + 0 + -2 + -2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 (base 9) in base 7?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1143 - 1140. Let m(k) be the first derivative of 5\/2*k**2 + 0*k + s + 0*k**3 + 3\/2*k**4. Find the second derivative of m(u) wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z + 51. Let m be g(-13). Let t = 44 + m. Solve -1 = -o - t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -102*i + 5 = -5*d - 99*i, -5*d + 2*i - 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 45 = 12*m. Let o be (-6)\/(-5)*(-25)\/m. Calculate the highest common factor of 18 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.509, -1\/3, -57, -2, 5 in increasing order.\nAnswer: -57, -2, -0.509, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 88 + 240.067056\nAnswer: 328.067056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Is u <= -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4192*i + 4190*i + 3358 = 0. List the prime factors of i.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1332*o + 11 + 1312*o - 7 to the form u*o + p and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 6*i**2 - 10. Let m = 2398 + -2393. Give s(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-2 + 2) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/180 + j**5\/27 + j**4\/108 - 2*j**3\/9 - 4*j**2. Determine a, given that u(a) = 0.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 - 4*m**3\/3 + m**2\/2 + 2*m - 15. Let y be b(4). Solve -5*x - z = -3*z + 15, 0 = -4*x - 2*z + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 2, -2, 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**4\/4 - n**3\/3 - n**2\/2 + 42*n - 1. Let j be r(0). Calculate the greatest common divisor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.235, -0.4, -4, 0.336?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*i + 44. Let v be 4\/((-24)\/i)*2. Suppose v*z = -u - 3 + 11, -z = -5*u + 120. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(704)*1 + (sqrt(704) + 2)*1)**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1 + n - 10 + 11 - 3 - n**3. Let c(q) = q**3 + 6*q**2 - 3*q + 3. Let z(s) = c(s) + 3*j(s). Factor z(m).\nAnswer: -2*m**2*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y + 18. Let i(h) = -h**2 - 11*h - 13. Let m be i(y). Suppose 76 + 79 = m*x. What is the highest common divisor of 31 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121871663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.36494 rounded to 1 decimal place?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4553371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, r: 5, s: 5, w: 4, g: 5}. Give prob of picking 1 o and 1 g.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2977314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 4*u**2 - 4*u + 2. Let p be q(-4). Suppose 0 = 5*z + x - p, 3*z - x = -3*x + 15. Suppose 316 = d + z*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from 0.805.\nAnswer: -0.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-1 - (3 + -4 + 3)) - -13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9961 - 9836 - (0 - 1).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**5 - g**5 + 0*g**5)*(0 - 3 + 1)*(20 - 8 + 9).\nAnswer: -42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b, -2*b + 3 = 3*r + 2*b. Suppose 281*z = 282*z - 3, -4*z = -4*l - 20. What is the closest to r in 9, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/30 - 13*q**4\/24 + q**3\/6 + 9*q**2 + 5. Give m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 80 - 85 + 245 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s - 1 + s - 2*s + 0*s wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4083\/(-12))\/((-2)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5139 is divided by 1709.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2*r - 2*m*r**3 + 11831*m*r**2 + 30918*r**3 wrt m?\nAnswer: -4*m*r - 2*r**3 + 11831*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 59.\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Let f = 5 + g. Let i = f - -3. Solve 2 = -i*b + 2*p, 5*b = 3*b + 5*p - 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5351446 rounded to three decimal places?\nAnswer: -0.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8706529*u**3 - 8164253*u wrt u?\nAnswer: 52239174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*w + 1081 = 1043 + 1854 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0 (b) -5 (c) 4462 (d) 3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -473\/6 - -79. Let x = l + 1\/3. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624571321.\nAnswer: 37, 43907333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*d - 120. Let p = d + 29. Let y(r) = -r**2 + 16*r - 17. List the prime factors of y(p).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20400 from 4.8.\nAnswer: -20395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*c*i**4 + 15*c*i**2 + 78088*c - 2*i**3 wrt i.\nAnswer: -132*c*i**3 + 30*c*i - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 12. Let y be (0 - 1)\/(1\/(-2)). What is the nearest to 1 in y, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*b**6 + 4*b**4*z + b**4 - 43*b**2 - 3*b*z wrt b.\nAnswer: -7800*b**3 + 96*b*z + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - sqrt(605)*1)*2 + (-2*sqrt(605)*1)**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10478323 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:58 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5130\/3630 + -1 - (1 - 1) and -99\/10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 1 r when three letters picked without replacement from ruululuuunuuull?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -442143451\/14 + 31597706. Let o = r - 16023. Let a = 66713\/18 + -3711. What is the common denominator of a and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261510830 divided by 7.\nAnswer: -37358690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -649*l - 3721 - 5365 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -619.102199 to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/5 - -23\/15. Let h = 0.39 + -4.39. Is x > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*k + 22 = 6*k, -4*a - 2*k = -102. Suppose 4*x - a = 2*u, 0*x = -2*x - 2*u - 2. Let h(s) = 3*s - 7. Let q be h(x). Solve -q = 4*f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13533 >= -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 - ((-19 - -9) + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42128.77784 + 10835.77748. Let m = 31292 + y. Let j = m - -1. What is j rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 3*t**2 - 2*t + 1. Suppose 2*v = -2*k - 6, 2*v - 9 = 4*k + 3. Suppose v*q + 2*q = -4. Let a(c) = 2*c**3 - 2*c**2 - 2*c. Give q*b(w) + 3*a(w).\nAnswer: 2*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18139496 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(3\/10))\/y*y**(1\/5))\/(y*y**(-2\/5))**23)**(-45) assuming y is positive.\nAnswer: y**(1197\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -770*g**2*n**2 - 2*g*n**2 + 2*g*n - 726*n**2 wrt g.\nAnswer: -1540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o - 18*o - 63 = 0. Solve -o*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1451\/440 - (-9)\/(-33) and 386\/120 + (-1)\/3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/9 + -391\/63. Let q = r - -407\/84. What is the common denominator of 758\/(-80) - 6\/(-10) and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/2 (c) 295 (d) 1 (e) 2\/79 (f) -37 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 489*z + 62*z**2 - 489*z + (3 - 3 + z)*(-3*z + 6*z - 4*z) to a*z + q + d*z**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116497610.\nAnswer: 2, 5, 2063, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 59.83\nAnswer: -60.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2446\/14 + (-16)\/(-56). Suppose 14*u - 3*n + 152 = 16*u, -300 = -4*u - 5*n. Calculate the highest common divisor of w and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377 - -225. Let v = i + 226. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(sqrt(12)*-4*5)*-4)\/(sqrt(972)\/sqrt(3) + sqrt(9)*3*-4).\nAnswer: -sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 538*p - 10 - 13 + 40 - 17 as j*p + h and give j.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 36 = -7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -184, 0.1, -4, -7, 0.4 in increasing order.\nAnswer: -184, -7, -4, -1, 0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 p when three letters picked without replacement from sccpzcccuauszcccsc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -109.8. What is f rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -740 + 740. Let t(y) be the first derivative of -7\/3*y**3 - 2 + a*y**2 + y**4 + 0*y. Find the third derivative of t(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*v**5 - 43*v**3 + 43*v**3 + 9*v + 13*v wrt v.\nAnswer: 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**3 + 246466*j**2 + 9382259*j wrt j.\nAnswer: -36*j + 492932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((15\/9)\/(-5)). Suppose 3*h - 2*c - 60 = 0, 112 = 5*h + 4*c + i. Let u = h - 11. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.7 - 1042?\nAnswer: -1054.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/2)*q)\/(q**(-12)\/q))\/(q**10\/(q*q**(-19)*q)))**(4\/5) assuming q is positive.\nAnswer: q**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - 23779*s\/2 - 1046155\/8.\nAnswer: -(s + 11)*(s + 95105)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/10)\/((-4)\/(-10)). Let g = 334 - 328. Sort 1, m, g.\nAnswer: m, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/7503*61)\/(-1*(-3)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 3*g - 10, -22*g = -18*g + 2*o + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = -2*f - 0*q, -4*q = 3*f + 12. Let o = 983 + 667. Let r = 1617 - o. Which is the smallest value? (a) r (b) f (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104138 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -456 - -877. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693474299 to the power of 1\/2, to the nearest integer?\nAnswer: 26334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -891952 and -4.16.\nAnswer: 3710520.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8000, -13443, -22514, -35213, -51540, -71495, -95078?\nAnswer: -122289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - (68\/(-48) + 3). Let l = -0.234 + -0.066. What is the fourth smallest value in l, j, 2\/5, -3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z, -5*z = -4*d - z + 68. Let g = d - -34. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 588.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.828 + 0.528. Let l = 3.97 + 0.03. Sort l, 0.04, h, -0.1 in increasing order.\nAnswer: h, -0.1, 0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2349540819 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 28*u + 49. Give q(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, -3, -0.63, 0.5.\nAnswer: -3, -0.63, 1\/4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-9 - (14 + -24))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 divided by -7?\nAnswer: -1231\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 15 = d, 195 - 107 - 130 = -5*o + 3*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1405 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53, 80, 93, 86, 53?\n\"Answer: -l**3 - l**2 + 37*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143987497?\nAnswer: 37, 30918581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5 - 4) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let n(x) = 1413368*x**2 + 7*x - 3. Determine q(n(i)).\nAnswer: 2826736*i**2 + 14*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**5 - r**3 + r + 1. Let h = -42 + 45. Let j(p) = 11 + 10*p + 2*p - 3*p**3 - 7*p**h - p - 12*p**5. Let f(x) = 2*j(x) - 22*z(x). Factor f(u).\nAnswer: -2*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45, 187, 431, 783, 1249, 1835, 2547, 3391?\n\"Answer: m**3 + 45*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3049353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g - 6 + 4 - 1 + 3*g to j*g + z and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 2*f**3 - 1 - 2. Let w(h) = 3*h - 1. Let k be w(-1). Let x(d) = 5*d**3 - 4. Let z(t) = t**2 + t - 3. Let j be z(-3). What is j*x(y) + k*o(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -19*t - 126. Suppose 9*c - 4*c = -300. Let b = t - c. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.12734 rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384\/7 - 55. Let b = 0.096 + 0.104. What is the smallest value in 0.3, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b4 (base 13) to base 15\nAnswer: 2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*q - 8*m + 35, 4*q - 3*m - 21 = 0. What is the common denominator of -7\/3 and (-1445)\/(-550) - (-1)\/((-4)\/q)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 3*f**2 + f + 123 + 2*f**2 + 4*f**2 - 2*f**2 to x*f**2 + k*f**3 + y*f + i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 + 2*x**3 + 0*x**3 - 11*x**2 + 29*x**2 in the form f*x**3 + a*x**2 + s + h*x and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myyyyyyyyyyyyymmmyyy. What is prob of picking 2 y?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 w when four letters picked without replacement from wwwgggg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((90972\/(-112))\/(-57))\/(((-81)\/378)\/((-2)\/(-7))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*q - 1942*q - 94199 + 200023 + 118372 = 0 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v - 3. Let x = v + 4. What is the units digit of 2 - (x + -3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - a?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 + 135*j**2 + 16*j**3 - 4*j**3 - 42*j - 114*j**2.\nAnswer: 3*(j - 1)*(j + 3)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246264449 and 1172.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**3 + 13*l + 13. Let p(y) be the first derivative of y**4 - 3*y**2 - 6*y + 2. Calculate 6*m(h) + 13*p(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/(v\/(v*v\/((((((v\/(v\/(v\/v**(7\/4))*v)*v)\/v)\/v)\/v)\/v)\/v)*v)) assuming v is positive.\nAnswer: v**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*d, -5*n + 621 = 5*d - 129. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 30*k**2 - 1. Let g be o(1). Suppose 1520 = g*a - 10*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 1, n: 5, u: 1, b: 3}. Give prob of sequence gouu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, -55, -2 in descending order.\nAnswer: 8, -1, -2, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969.498um in nanometers?\nAnswer: 1969498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) - (-2 - (-38)\/(-14)). Solve 4*f - 5*m = 4 + x, 0 = 5*m + 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 0*o**2 - 3*o + 4*o + o**2 - 3. Let s be b(-3). Is s smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*y + 2*t + 2, 0 = -2*t - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106633, 213170, 319587, 425824, 531821, 637518, 742855?\n\"Answer: -10*u**3 + 106607*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075 * -0.117.\nAnswer: 0.008775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23159 + -22670. Calculate the remainder when 988 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/71280 and -19\/616.\nAnswer: 498960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.534 rounded to 1 dp?\nAnswer: 48.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 - 276. Calculate the greatest common factor of 30 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {r: 8, v: 2, e: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 3*g**2 - 2*g + 2. Let o be y(-2). Suppose -2*b = o*b - 92. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 5, 346, -2, -396.\nAnswer: -396, -2, 2\/5, 5, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1501 and 16402928.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11\/2. Let u = 683.8 + -681.8. What is the closest to u in j, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, 226, 1\/7, -6\/11, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 203442012 (base 6) to base 7\nAnswer: 42024554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 47*i**3\/6 - 2*i**2 - i. Let r be (4 - 14\/3)\/(2\/(-6)). Is z(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 3984*y - 11916.\nAnswer: -4*(y + 3)*(y + 993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/20 + 25\/4. Solve 3*g - 2*x = 15, 2*g + 4*x + 0*x = -q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 23*t**2 + 29*t + 124. Let j be h(-24). Let l = 0.04 - -18.96. Which is the nearest to 1? (a) j (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*10*(-2)\/3. Suppose -i = 4*i - 15. Let h(x) = -x**2 + 10*x - 7. Let r be h(9). Solve i*l + a = -r*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -137135644?\nAnswer: 137135647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2)*3 - -4. Which is the second smallest value? (a) i (b) -1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2. Let c = 2579 - 2575. Let m(z) be the second derivative of 0 + 12*z + 0*z**2 - 1\/3*z**c + 0*z**3. Determine m(g(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d + 18. Let y be o(-4). Let k = 45 - y. Suppose 16*h - 19*h + 7 = -x, -3*h = 5*x - 19. Solve -k*v + 5 = -2*q - 0*q, h*q = 2*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452\/270 + (-1400)\/525*(-2)\/(-72).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1006265 + 40?\nAnswer: -1006225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:29 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3040 - 2533. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(242) - ((4*(sqrt(242) + 1*sqrt(242)))**2 - sqrt(242)) - sqrt(242)) + -4.\nAnswer: -55*sqrt(2) + 77437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9569071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/327?\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 276, 1314, 3114, 5670, 8976, 13026, 17814, 23334?\n\"Answer: -o**3 + 387*o**2 - 116*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -710687*d**2 - d + 6420723?\nAnswer: -1421374","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -2.7. Let w = -2.42 - -2.2. Let h = -0.08 + w. Which is the biggest value? (a) 0.1 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/(s\/s**(-2\/63))))\/s)*s**(-2\/7))\/(s**(1\/2))**10 assuming s is positive.\nAnswer: s**(-272\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 400085 + 399473 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 1)*(2*s + 4 - 4)*(-7 + 7 + 14).\nAnswer: -84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 3*k**5 + k**5 + (-3*k**2 + 0*k**2 + 2*k**2)*(-4*k - k**3 + 4*k) + k**5 + 0*k**5 + 3*k**5 - 3*k**5 + 2*k**5 + 0*k**5 + 0*k**5 - k**5 - 2*k**5.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17704.7 to the nearest one hundred.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 452463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/264)\/(1431\/2707452)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 8*x + 80. What is the smallest common multiple of 14 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(-3*(sqrt(65) - (sqrt(65) + sqrt(65)*-2 + sqrt(65))))\/(sqrt(605)*-2))**2.\nAnswer: 2925\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -17. Let l = 0.03 - -0.47. Put l, -2, f in increasing order.\nAnswer: -2, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14860275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 - 2140 = -154*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -1, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 47*a**2 + 2497*a + 318 = 0?\nAnswer: -53, -6\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7860424?\nAnswer: 2, 11, 13, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*f**3 + 461*f**3 - 231*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689406 is divided by 1348?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 658011886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**6\/20 + 59*r**5\/60 + r**4\/6 - 83*r**3\/6 + 22*r**2 + r. What is the second derivative of w(p) wrt p?\nAnswer: -36*p + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/(-8) - 4\/32*6. Solve 0 = -f + 5*m - m - 12, 0 = 4*f - s*m + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 7. Suppose 5*q - 69 = -2*a, 2*a + i = 6*a. Suppose q = -0*j + j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -19. Suppose n = f - 98, r*f + 78 = 4*f + 4*n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 + 18*y**3 + 17*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7076 months in decades?\nAnswer: 0.21423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*i - 101*i = -55 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2568.78 rounded to the nearest ten?\nAnswer: -2570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/65 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 38*b - 7. Let i be h(-3). Let a = i + 229. Let k = a - 87. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 - g + 3. Determine z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h - 5. Let t be o(-3). What is the highest common factor of t and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3531.756 - 10.5547965.\nAnswer: -3542.3107965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7725 and -2?\nAnswer: -1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -23467067?\nAnswer: 23467071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*b = -j - 8, 0 = 3*b + 15. Suppose -j*v + 0*v + 60 = 0. Let c be (-8)\/v - 17\/(-5). Solve 7*a - 2*a - 40 = -3*u, 2*a - 25 = -c*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2676)\/4460*68\/12.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t**2 - 6*t + 11. Let p(i) = 6*i**2 + 3*i - 1. Let s(y) = 3*y**2 + 2*y - 1. Let v(r) = -3*p(r) + 5*s(r). What is 2*b(u) + 11*v(u)?\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:07 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 29319360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.079 - 0.039. Is p less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -306 + 294. Is 9\/(-12)*26192\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 57 = 19. Let g = -13 + z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25a9 (base 12) in base 11?\nAnswer: -3264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 + 2*y**2)*(30*y + 6*y + 6*y)*(-4 + 2 + 3)*(1 - 2 + 4).\nAnswer: 252*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 15. Suppose 0 = 2*c - d*c. Solve 0 = -c*j + 2*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239.4568 months in years?\nAnswer: 186.6214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320 + -8092.7.\nAnswer: -8412.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:40 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -319*n + 4114 + 33 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 546 - 2876 = -3*z. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) -86 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -86*v - 233. Let f be y(-6). Suppose -a = f - 323. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 99\/1627?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68943 and 5817?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 12*y. Let z(g) = -g - 16. Let j be z(-10). Let f be k(j). What is the lowest common multiple of 5 and (-16)\/8 - f\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 17, 62, 131, 224, 341?\n\"Answer: 12*x**2 - 15*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3025*c**5 + 12815*c**4 + 11496*c**3 + 284*c**2 - 1568*c + 192 = 0. Calculate c.\nAnswer: -3, -4\/5, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 17 + 15. Let t = c + 6. Let b be (2 - 0) + 2 + t. Solve -5*d - 20 = -5*x, -8*d = b*x - 4*d - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, t: 3}. Give prob of sequence ttct.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -13, -27, -41, -55?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-3)*1*-12. Suppose 4*l - t = 224. Let s = 45 + l. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * 483.\nAnswer: 173.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -2\/21 (c) 1 (d) 0.1 (e) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*p**2 - 2*p**2 - 4*p**2 - 8*p**2 - 4*p**3 - p**2 + 9 in the form m*p + s*p**3 + g + j*p**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqq when three letters picked without replacement from ccqccccccqcccccqcccq.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 44160?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 6*b + 2 + 6*b - 4*b**3 + b**3. Let a be s(-2). What is the highest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:52 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -38. Let l(k) be the second derivative of 0 - 1\/6*k**4 + 1\/2*k**t + 0*k**2 - 2*k. What is the second derivative of l(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898615164 a multiple of 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 + 241. Calculate the highest common factor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 32 - 32.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-611)\/(-94) - (-3 + (-15)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -25*g + 18*g. Let y(q) = 0 + 26*q**3 + g*q**2 + 5*q + 24*q**3 + 4 - 49*q**3. Give y(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 28. Let w be s(30). Suppose -w*x = 220 - 288. Solve 29*h = x*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23370510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 5*n + 15, 4*b + 828*n - 823*n = 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2091 + 1036 + 1049)*(3 + 2*m - 3).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 351 * -0.29752\nAnswer: -104.42952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.091 + -1.648. Round a to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108 in 0, 0.64, -0.2, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11467296 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 0, 7*p + 10 = 2*v + 2*p. Let l be (-1)\/((-74)\/24 + 3). Let u be l\/(-18)*(0 - 3). Solve v*m + 2*m + 6 = 0, -4*m = u*f + 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 15 = -5*a, 4*a = 5*a + 4*y + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8072460 a multiple of 2718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-6)\/72*4*7047\/(-87)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6*d. Let s(p) = -p**3 + 11*p**2 + 8. Let m be s(11). Let l be (-2)\/8 + 10\/m. Solve d = 4*o - 7 - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.1 - 2.2. Let w = r - -6.4. Are 6 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 17. Solve 2 = -z + m, -w*z + 3*z - 14 = -2*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11174584 at most -11174583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7102207 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3407 > -3405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s = 50*s - 4*v - 4, -8 = 2*s - 4*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241810912?\nAnswer: 2, 3, 11, 19, 111733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.001 or -73\/37?\nAnswer: -73\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-39)\/(-12) - 602\/(-8). Let h = -72 + y. Let z(v) = v - 10. Let j be z(10). Solve j = -h*p - g - 6 + 14, 0 = -4*p + g + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5524031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 5\/6, -2, -83, -44, 0.01, -7?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = y + 3*y - 42, 52 = 4*o + 4*y. Calculate the remainder when 38 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4452*v**4 + 2747 wrt v?\nAnswer: 17808*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 + 6 = -5*j, 3*v = -3*j - 9. Suppose -m + 19 = -v. Suppose n = 4, y + 4*n - m = n. Calculate the greatest common factor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*g**2 - 3*g + 0 + 5 + 2 + 720*g**2.\nAnswer: 1186*g**2 - 3*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294452 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1600 + -1603. Sort a, 4, 2, 5, -100 in increasing order.\nAnswer: -100, a, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 37 - ((-1 - -4) + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -16. Let h(u) = -4*u - 3*u**2 - 4*u**2 - 7 - 1 - 4*u**3 + 3*u**3. Calculate the remainder when h(-7) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3. Let k be s(0). What is the remainder when (-129)\/18*-2*k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264 + -169. Let j = -2089\/22 + a. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2528\/17 + 142\/17*o**2 - 1232\/17*o + 2\/17*o**3 = 0.\nAnswer: -79, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-24)))\/b)**(13\/3)*(b*b*b\/(b*(b\/b**7)\/b))\/(b**(-1\/4)\/b) assuming b is positive.\nAnswer: b**(-375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 + -149. Let g = -10 + 6. What is the least common multiple of 4 and 2 + (g\/(-2) - b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24e (base 16) in base 10?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -245, -877, -1895, -3299, -5089, -7265?\n\"Answer: -193*v**2 - 53*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c - 2*c - 504 = 0, -3*h = -3*c - 378. Suppose 0 = y + 11*s - 8*s - 9, 0 = 2*y - 5*s - 51. Calculate the greatest common divisor of h and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i + 3*q = -5, q - 10 = -3*i. Let p = 1 - -3. Let m = p + -8. Put i, m, 2 in ascending order.\nAnswer: m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + -386 + 378 - (-7 - -12 - 136).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 + 2 = 0. Suppose -7*q = -r*q + 5. Let l be (-1)\/2 - q\/(-2). Put -4, 1, l in descending order.\nAnswer: 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/9*29 - (-2)\/2)*-1392.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000373256206 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - -3) + 5 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 798 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10048)\/(-42704))\/(16\/(-26)*1\/(-204)*3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(5\/7)\/(v*v**(-3\/4)*v**4))**(-1\/5) assuming v is positive.\nAnswer: v**(139\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 + 2*k - 12. Determine b(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5154 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/3482 and 119\/24?\nAnswer: 41784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772643627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 - 7 = 5*g, -g - 17 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*d - 88*d - 5*d + 25*d.\nAnswer: -397*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 8*g**5\/5 + 11*g**2\/2 - 8. Find the second derivative of a(t) wrt t.\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*b = -5*t + 74, 2*t - 26 = -4*b. Calculate the greatest common factor of t and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 7*c - 7. Let g(a) = -2*a**2 + 3*a - 3. Let f(o) = -7*g(o) + 3*h(o). Let q(v) = v**2 + 106. Calculate f(q(z)).\nAnswer: 5*z**4 + 1060*z**2 + 56180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -0.14, -304, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -46. Which is the third biggest value? (a) -4 (b) 0 (c) j (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3299, 3268, 3231, 3188, 3139, 3084, 3023?\n\"Answer: -3*o**2 - 22*o + 3324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 4 (b) -113\/45 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1037772\/11 + -94342. Solve -18\/11*n**2 + 2\/11*n - h*n**4 + 4\/11 - 26\/11*n**3 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8.38, -3, -2, 80, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8919.30534 - -8920. What is f rounded to 2 decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -192 (b) -4 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 21\/2. Let n = -635 + 4436\/7. Let q = -38\/35 - n. What is the smallest value in q, w, 0.6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321151687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442320*j + 497*j**3 + 442320*j - 488*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:51 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 390019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, -235, -634, -1193?\n\"Answer: -80*s**2 + s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + 13\/5. Let n be 56\/12 - (-4)\/(-6). Suppose -23 = -n*j - 3*l, -4*j - 5*l = 10 - 43. Do j and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3)*b*b**(-6))\/(b**6\/(b*b**3)) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -41118 divided by -386\nAnswer: 20559\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neii when four letters picked without replacement from eniieniieennxuen.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4180 = 717*o + 28558 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -5\/2*i**3 - 25*i + 0 + 9*i**2. What is the tens digit of h(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -5*o**8\/168 - o**7\/15 + 29*o**6\/30 + 2*o**5\/15 - 22*o**4\/3 - 32*o**3\/3 + 2908*o**2. Solve d(l) = 0.\nAnswer: -4, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1769*y**2 + 11445 wrt y?\nAnswer: -3538*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6493 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 = 3*q, 3*q - 4 + 1 = 3*i. Solve 4*r - 3*j + 16 = -11, i*r + 4*j - 14 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:08 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -369082\/2729?\nAnswer: -369082\/2729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24852595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2 + -3) + -1. Which is smaller: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*m*v - 2621*l**3*m + 4*l**3*v + 71*l*m*v - 57*l + 28*m wrt l?\nAnswer: -12*l*m*v - 15726*l*m + 24*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9269.752 weeks to nanoseconds.\nAnswer: 5606346009600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-2)\/(-2) - (630\/153 + -13).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 70\/5 + 1. Solve 0 = -4*f + l + w, 3*f - 5 = 4*f + 4*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3434585006050 and 0.1.\nAnswer: 3434585006050.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -646735?\nAnswer: -64673a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n + 190. Let i be s(-18). Let l(r) = 13*r + 110. Let y be l(i). Solve 5*c = j - 10 - y, 3*c = -2*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 16*t**2 - 27*t - 131. Calculate the remainder when i(-6) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244.43 - 243. Let s = -1.53 + h. Put 0.02, s, -4 in descending order.\nAnswer: 0.02, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -618?\nAnswer: -7\/618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -2742, -2976 in increasing order.\nAnswer: -2976, -2742, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 10*j**2 - 6*j + 9. Let o(n) = -7*n**3 - 21*n**2 - 12*n + 18. Let q(l) = 5*a(l) - 2*o(l). What is q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15066520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96\/15 - 4\/10. Let l be (2\/4)\/(2\/16). Suppose i**3 + 2*i - 3*i - q*i**l + 4*i + 6*i**2 - 4*i**3 = 0. What is i?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 25 (b) 12 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 + b - 7. Let t be p(0). Let u = t - -48. Suppose u = 5*l - 3*s, -27 = -5*l - 0*s - 4*s. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(343) + 2*(sqrt(343) - (0 + sqrt(343))) - (sqrt(343) - (sqrt(343) + ((-2 + sqrt(343))*3)**2))) + -2*(1*(1 + sqrt(343) + 5))**2.\nAnswer: -413*sqrt(7) + 2360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + (-6)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.41501788 rounded to three dps?\nAnswer: 3.415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/365*1\/(-6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/3 - 12*v + 35\/3 = 0. Calculate v.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**22\/(c**(1\/13)*(c**(-8)*c)\/c))\/(c**(-1\/12)\/((c\/c**(-5\/2)*c)\/c))**(14\/9) assuming c is positive.\nAnswer: c**(24919\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 + -0.08. Which is the closest to m? (a) -0.4 (b) -2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20321540 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3757204 and 3740.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 40*c - 279. Let d be u(7). What is the nearest to 18 in 5, 3, d, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 55, 0, -2, 2.\nAnswer: -12, -4, -2, 0, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/12 - (-2 + -4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 20. Suppose 0*i - 39 = -3*m + k*i, -4*m - 4*i = -52. Calculate the least common multiple of 2 + 0 + 1 + m and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 7*j - 4. Calculate the lowest common multiple of a(-9) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 minus 6759972075?\nAnswer: -6759970803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**3\/3 + 5*i**2\/2 + i + 4. Determine a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560055808 and 2032?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -12*x**2 - 5*x - 3. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 595920.7 kilometers?\nAnswer: 595920700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*x**3 + 36249*x**2 + 17990388*x - 262189980.\nAnswer: 3*(x + 1014)**2*(6*x - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/6 + 4*i**2\/3 + 1462*i\/3 - 11560 = 0. Calculate i.\nAnswer: -60, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6378 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u**3 - 2*u - 7*u**2 + 46*u**3 - 12*u**3 + 24 - 17*u**3. Let d be s(-6). Solve o - 3 - 2 = d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.6 - -27.5999727. Round w to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*t**5 + 6*t**3 - 5531*t**2 + 9*t + 344072 wrt t.\nAnswer: 1400*t**3 + 36*t - 11062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v*v\/(v**(5\/4)*v*v)*(v**(-3\/17)*v)\/v*v**19\/v)**48 assuming v is positive.\nAnswer: v**(11892\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 170867, 170943, 171019, 171095, 171171?\n\"Answer: 76*j + 170791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78293 + 27559155\/352. What is the common denominator of -81\/56 and n?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 f when four letters picked without replacement from ffyfiyyaifiyyif?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6558, -26002, -58312, -103488, -161530?\n\"Answer: -6433*v**2 - 145*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 1. Let i be (1*(-1 - 0))\/(-1). Let d be w(i). Suppose 0 = -3*x + d*s + 132, -2*s = 7 + 3. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 18*j + 60. Let y be a(27). Let c = y - 257. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/49 in -18\/143, 0.2, -1\/3?\nAnswer: -18\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s + 153. Determine n(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248921352.\nAnswer: 2, 3, 3457241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.5 (c) -0.2 (d) -4 (e) -1\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41530 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663.991 rounded to the nearest ten?\nAnswer: 7660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*v - 48 - 52, -64 = -5*o + 4*v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*s - 148*s - 104*s - 10*s - 127*s to f*s + n and give f.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1364\/5 - 272. Let k(f) = -2*f**3 + 2*f**2 + 3*f - 2. Let s be k(2). Let g = s - -6. Which is the third smallest value? (a) -0.1 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014315088 to 6 dps.\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 2. Calculate a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 + -0.0423.\nAnswer: 108.9577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2167*n**2 + 2167*n**2 - 159 + 159 - 12*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 2:31 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7189*h + 5460 wrt h.\nAnswer: -7189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/29, 10, -0.2 in descending order.\nAnswer: 10, 7, 2\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -5*q**3\/3 + 21*q**2\/2 + 25*q. Let u be h(-2). Let j = u + -38. Solve j*n + 4 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 0*r - 33*r + 10*r + r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1, -0.25, 0.09, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 461 - 445. Which is the second smallest value? (a) 1\/4 (b) z (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 7*p**2 - 28*p + 9. Determine t(9).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2407*v - 1187*v - 1134*v.\nAnswer: 86*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2. Let n(w) be the first derivative of 144*w**3 - 214. Determine n(u(m)).\nAnswer: 432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 726.154cm?\nAnswer: 0.00726154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54095 + 103020. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from aavavvaavavvvaavvaa?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-15)\/(-12)) + 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/33340 and -103\/6.\nAnswer: 100020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -3)*(127 + -142). What is the nearest to -2\/7 in q, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4152, 16577, 37294, 66309, 103628, 149257, 203202, 265469?\nAnswer: 336064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 + 18*h**2 - 6050*h + 36298. Give o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142736.\nAnswer: 2, 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 550*c = 545*c + 14, 24*c = -3*t + 105 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -441 + 941. Let z = 504 - k. Which is the closest to z? (a) -4 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*-5 + 29 + -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*9\/((-54)\/(-16)) + 1. Let c(y) = -22*y + 7. Let l(q) = 68*q - 20. Let r(f) = n*c(f) - 2*l(f). Differentiate r(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780899 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*j + 194*j - 476*j.\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*i + 10 = 0, -2*f = -2*i - 14 - 6. Calculate the highest common factor of f and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086000 to the nearest 10000.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**4 + 26*v**3 + 82*v**2 - 9*v. Let z(w) = -2*w**3 + 3*w**2 + w. Let m(q) = c(q) + 9*z(q). Find the third derivative of m(i) wrt i.\nAnswer: 24*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7)*((t\/((t\/t**(1\/2))\/t*t*t))\/t)\/t)**(-26))**(-32) assuming t is positive.\nAnswer: t**(-16224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2)*1*30\/35. Let g be 1 - 203\/((-3)\/c). What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h**3 + h**2 - h - 1. Let y(l) = -1250*l**3 - 5*l**2 - 972*l + 3. Let q(x) = 3*d(x) + y(x). Find the second derivative of q(n) wrt n.\nAnswer: -7284*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1142631 divided by -441.\nAnswer: -2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727869, -1455756, -2183661, -2911584, -3639525, -4367484?\nAnswer: -5095461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z**3 - z**2 - z - 1. Let w be m(-1). Let h be 3\/15 + w\/(-5). Solve -2*r = -r - 3, h*u - 11 = -r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2418226.9 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1847113?\nAnswer: 59, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -576 - -579. Suppose 0 = -14*o + 13*o. Which is the nearest to -0.1? (a) 2 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*i**3*o - 4*i**2 - 75*o wrt i.\nAnswer: 414*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 11. Let m be ((-2)\/r)\/((-10)\/255). Let b = 27 + m. What is the remainder when 37 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 354*a**2 - 30*a + 101. Let o(q) = -34*q**2 + 3*q - 10. Let s(g) = 2*c(g) + 21*o(g). Let f(v) = -13*v**2 + 7*v - 16. Give -4*f(h) + 9*s(h).\nAnswer: -2*h**2 - h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = b + 3, -3*m - 5 = 5*b + 3. Let r be (17 - 14)*2\/18. Are r and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 25*k + z + 33 = 0, z - 3 = -k. Suppose 3 = 2*d - c - 534, -2*c - k = 0. What are the prime factors of d?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 3*o + 2. What is the remainder when 176 is divided by i(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 5. Let b be m(4). Let p = -12797.8 + 12799. Sort -5, 0.3, p, b.\nAnswer: -5, b, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 5*m**3 + 3*m**3 + 12*m**3 + m - 14*m**3 + 1 as c*m + a*m**3 + h + s*m**4 + n*m**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 19*w - 1955 = 0. Suppose w + 505 = 8*h. Calculate the remainder when h is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 850.8981 - -0.1019. Let r = k - 850.99659. Round r to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 21. Suppose -p*v = 15 - 45. Suppose y + 149 = v*f, 3*f - 5*f = -3*y - 70. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5065 - -6300. What is the remainder when t is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**5\/20 - 11*t**4\/6 + 13*t**3 + 75*t**2\/2 - 32*t. Let f be u(-25). Is 11\/16 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -23*c**2 - 5*c - 27. Let v(l) = -34*l**2 - 8*l - 41. Let p(i) = -8*r(i) + 5*v(i). Differentiate p(z) with respect to z.\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + o + o + 0*o)*(3*o - 9 + 9 + (5*o - 2*o - o)*(-4 + 0 + 1) + 12 + 37*o - 12) to the form h*o + r*o**2 + n and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*k + 6 = -6, -3*n - 3 = -4*k. Let h(z) = z + z**2 + 16 - 679*z**n + 59*z**3 - 15. Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 171, 196, 241, 312, 415?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -42 (b) -12\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -273, -316, -359, -402, -445?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1404084 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -9 + 19\/2*z**2 + 0*z + 15\/4*z**4 + 0*z**3. What is the second derivative of m(y) wrt y?\nAnswer: 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3316 - 1306. Suppose -4*p = 1132 + 1384. Let l = r + p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100 divided by 4020?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/8)*g)\/g**(1\/7)*g**(-8)*g**5*g)\/((g**(-3)\/g)**(-6\/5))**(-44) assuming g is positive.\nAnswer: g**(58781\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d7 (base 14) to base 7.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6146 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3804255 and 0.3.\nAnswer: 1141276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 113130330 (base 4) to base 11\nAnswer: 66198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 20, 14, 6, -4, -16?\n\"Answer: -h**2 - h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let a(t) be the first derivative of t**3\/3 - t**2\/2 + 7*t - 44. Give a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = 2*k - 2*o, -k + 5*o = 2. Suppose 4 = 5*w + v + 32, -10 = 3*w + 4*v. Calculate the least common multiple of (-15)\/w + 1\/k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4\/8 + 186*r**3 + 31197*r**2\/8 - 10413*r\/2 - 49059\/2 = 0.\nAnswer: -474, -23, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19334.4nm to micrometers.\nAnswer: 19.3344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:06 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 q when four letters picked without replacement from sssqqsssqqmsqq.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 - d**3 - d**3 + (-2*d**2 + 0*d**2 + 0*d**2)*(-2*d + 3*d - 2*d) - 2*d**3 + 5*d**3 - d**3 + 14 + 8 - 21 + d**3 + 4*d**2 + 6*d.\nAnswer: 3*d**3 + 4*d**2 + 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*k - 24*k - 24. Solve 1 = -3*o + k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:16 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5474670\/299 + -18310. Let q = -9587\/4186 + n. Calculate the common denominator of 635\/(-60) + 2\/4 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v. Let z(h) = -256*h**2. What is z(i(f))?\nAnswer: -1024*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/14 + 127*j**6\/200 - 19*j**5\/10 - 79*j**4\/10 - 12*j**3\/5 - 100*j**2 - 29*j. Find o such that a(o) = 0.\nAnswer: -6, -1, -2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16408.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5083 + 1102 = -289*i + 5267 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 24 = -8*c. Let o = -1 + c. Let g(p) = 3*p - 26. Let i be g(11). Is o > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13b + -a167?\nAnswer: -a2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2862546 - 1?\nAnswer: -2862547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (589\/38)\/((55\/(-10))\/11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 9. Suppose 1 + 1 = -v, 4*v = 5*f - 23. Suppose -f*i + 1 + 20 = 0. List the prime factors of p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -664 or -663?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080 - 820.65.\nAnswer: 259.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*u + 27, -2*d = 2*d + 5*u - 1. Suppose 2 = 3*s - d. What is the third derivative of -10*r**s + 4*r**2 - 39*r**3 + 46*r**3 wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388824 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o + 6*w - 3*w, 0 = -5*o - 2*w + 11. Solve -1\/2*y**2 + 3\/2*y - o = 0 for y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/(-462) + (-48)\/(-352)*4.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -150*f**2. Let p(c) be the second derivative of c**4\/12 - 109*c**2\/2 - 14*c. Let n(x) be the first derivative of p(x). Give d(n(i)).\nAnswer: -600*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o**2 + 7. Let v(b) = -29*b**2 - 13. Let d(n) = 5*i(n) + 3*v(n). Let z(x) = -x. What is d(z(y))?\nAnswer: -17*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442713467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -0.03323.\nAnswer: 0.59814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 172.812 - 206.01. Let o = -0.198 - x. Let v be (4 - 2) + (-14)\/6. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 1 - sqrt(1300))**2 + (2*sqrt(65))\/sqrt(5))*1.\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:47 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhlh when four letters picked without replacement from llwlkkhwhkhlhlwhh?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10101001100000111010 (base 2) to base 9\nAnswer: 1267387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 41122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-285)\/(-570))\/((-2)\/88)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 k when four letters picked without replacement from bmmmmmmmmmmmkkmmkmmm?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 45. Suppose -5*u + 0*u = 2*d, -3*d = -15. Let m be -1 - (0 + u - 2). Solve -m*h + 1 + k = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -r - 15, -24 = -4*r + n + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 25. Put u, 1, 4 in descending order.\nAnswer: u, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 - 3*u + 6. Let i(z) = -3*z**2 + 2*z - 5. Determine 5*g(p) + 6*i(p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1 + 4 - 1 - 10906192*q + 10906204*q. Let l(j) = -j**3 + 7*j**2 - 7*j + 2. Let z be l(6). What is n(z)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.27 and -0.430621.\nAnswer: -5.700621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 8\/((-216)\/45)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7012, -7044, -6994, -6820, -6480, -5932, -5134, -4044?\n\"Answer: 7*f**3 - f**2 - 78*f - 6940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 + a - 1. Let s(w) = -2*w + 7. Let q be s(6). What is the common denominator of (-1 - 48\/10)\/(-1) and t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37878546 is divided by 152.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 36*a**2 - 12*a**2)*(-20*a**3 + 6 + 10*a**3 + 12*a**3).\nAnswer: 32*a**5 + 96*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueyyukuakyujeu. What is prob of picking 2 e and 1 y?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1162*r - 1160*r + 10, -v - 3*r - 57 = 0. What is the closest to v in -1, 1\/5, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y + 1. Let n = -711\/2 - -355. Let j = 336 + -335.7. What is the nearest to n in j, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/165 + (-2)\/3. Suppose -14 = -3*l - 3*t + 4*t, 0 = -4*l + 4*t + 24. Suppose l = 2*c - c. What is the nearest to d in 0, c, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507\/(-52) + (-7278)\/378456?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by -34826.\nAnswer: 115\/34826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -704 and -3?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*o - 64 - 13 = 0, 0 = 4*d + 5*o + 69. Let y(w) = 2*w + 12. Let t be y(9). Let a = t + d. Calculate the least common multiple of a and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -15. Let s = u + 3. Is s < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from pprrprrrrr?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16196 or 16193?\nAnswer: 16193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-28)*1036\/(-7). Let q = s - 32. Which is the closest to q? (a) -1\/6 (b) -0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 124320 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -26 + 18 + -37?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryy when three letters picked without replacement from {y: 10, r: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327576 - -332114.238. Let s = 4534 - l. Let u = 0.038 + s. Round u to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11512 * -24784.\nAnswer: 2853.13408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 11. Let s be p(12). Let f = 191 + -194. Is 978 + -2 - f\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 11*v - 1. Let l(g) = -g + 1. Let h(c) = 6*l(c) + r(c). Let p be h(5). Suppose -4*k = k + 5. Sort 3, k, p in decreasing order.\nAnswer: p, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/9 and 2\/10827?\nAnswer: 10827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -8. Let m = 18.2 - j. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1493 and 0.3.\nAnswer: -0.8493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4791, -4796, -4803, -4812?\nAnswer: -4823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:55 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -30. Let r = -342 - -227. Let u = n - r. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -761 (base 9) to base 11\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-1)\/(sqrt(45)\/(sqrt(15)\/sqrt(3)))*-2.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and -0.4.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621417309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 9:14 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:42 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 8*u**2 - 6*u + 7. Let f be w(-7). Let g = -22 + 23. Let r be (0*2\/(-6))\/g. Is r greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 11*k**2 - 6*k + 17. Determine w(-8).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + 119. Let n = 135 + -83. What is the remainder when g is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) - sqrt(84)\/sqrt(48)) + (sqrt(5) - (sqrt(320) + 0))*-6)**2.\nAnswer: 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 11. Let n(a) = a**2 + 4*a - 4. Let p be n(-6). Let x be u(p). Let q = x + 4. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.024132 + -11.975868. Let f = -0.1 - 9.9. Which is the biggest value? (a) -4\/5 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5727 divide 66946210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let q(h) = -5*h + w + 5*h - 3*h. Suppose 0 = 4*y + 3*n + 3, -n + 0*n = 5. Determine q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502 + -502.415. Round b to two decimal places.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 4, i: 2}. Give prob of picking 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.054, -22.3, 4, 4\/7, 0.5 in descending order.\nAnswer: 4, 4\/7, 0.5, 0.054, -1, -22.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.1 * -0.96.\nAnswer: -69.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:10 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38217?\nAnswer: 3, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514553631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 - 11*v + 14. Let u be m(8). Suppose -5*s + u = 4*c, 3*c + 3*s - 282 = -0*c. What is the remainder when c is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 = 2*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(60\/(-56)) - -3. Let o be ((-3 - -1)*1)\/(-1). Suppose 0 = -o*r - 2*r + 4*c - 16, 0 = r - 5*c + 16. Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 10*s + 3. Let c be x(-10). Suppose 5*z - 2*z + c = 0. Is z not equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 1. Suppose -3*j + 0 - 6 = 0. Let k(s) be the first derivative of -1\/2*s**2 + 9 + 0*s. Calculate j*k(z) - l(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = d - 72. Let q(v) = -10*v + 48. What are the prime factors of q(d)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -599)*(-5)\/10. Let q(l) = -601 + 302 + 3*l + o. Let p(k) = -36*k - 1. Determine q(p(f)).\nAnswer: -108*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w + 8. Suppose -2*b - 2*d = -3*d, 2 = -3*b + d. What is f(b)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31072042 plus 1312865?\nAnswer: 32384907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -5. Let x(f) = -4*f + 1. What are the prime factors of x(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:44 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*f - 96, 4*f - 42 = -3*g + 53. Let x = -20 + f. Solve -13 = -5*d - 2*l, -4*l + 4 = -x*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17901310*f**5 - 9*f**2 + 160990265*f wrt f.\nAnswer: -358026200*f**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 16. Let y be f(5). Suppose -a + y*a = 625. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d**2 + 4\/3*d**3 + 0*d + 1 - d**4. What is the third derivative of g(x) wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqoo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 25*k**3\/3 - 37*k**2\/2 - 94*k. Calculate the remainder when 140 is divided by d(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2. Let h(s) = 1. Suppose 0 = 4*d + 2*b - 6*b - 16, -d = b. Let o(x) = -x + 1. Let m(p) = d*o(p) - 2*h(p). What is m(w(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1225 at most 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/112 and 909\/(-114) - (19 - 29)?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(2\/25)*(a*a\/(a**(-2\/5)*a))**(3\/16)*a**(4\/3)\/(a\/(a\/((a**2\/a)\/a)))*(a*a**(1\/9))\/(a\/(a**(-2\/7)\/a)*a) assuming a is positive.\nAnswer: a**(-2917\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 244.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494 - -496. What is the nearest to -2 in 1, 3, 1\/10, x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5446752851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436371236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 22*o - 3. Let j be c(23). Suppose 11*m - 6*m = j. Is m less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:31 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052 - -2.948. Let u(n) = n**2 - 39*n + 342. Let r be u(13). Which is the third smallest value? (a) r (b) g (c) 49\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 + 96*d. Let z(h) = -11*h**2 + 256*h. Let w(b) = 24*v(b) - 9*z(b). Let g(s) = -5*s**2 - 111. Determine g(w(i)).\nAnswer: -45*i**4 - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/29)\/(c\/(c*c*((c\/c**(-2\/15))\/c)\/c)*c)*((c**(1\/7)\/c)\/c)**(-18) assuming c is positive.\nAnswer: c**(98941\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*q = 180, -51*q = -4*a - 56*q + 103 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1.6. Suppose 0 = 5*v - 5*i - 34 - 11, 5*v + 4*i - 18 = 0. Let w = 11 - v. Which is the closest to -2? (a) q (b) w (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -11. Suppose -2*a = -t*a + 24. Solve b = 3*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206640 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: Suppose -2*u = -3*m - 7*u - 18, -4*m + 3*u + 5 = 0. What are the prime factors of 74 + m + (10 - 6)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/2 - ((-21 - 12) + -37)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 + j**3 + 3*j**3 + (-24 + 24 - 4*j)*(0*j**2 + 2*j**2 + 0*j**2) + (-3 + 3 - j)*(0*j**2 - j**2 + 3*j**2).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/145500 and -73\/2100?\nAnswer: 1018500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109502 is divided by 690?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, q: 2, a: 4, t: 4, e: 2, x: 1}. What is prob of sequence gqtg?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3296585 and 3.\nAnswer: 2.6703415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -19*n + 59 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 219, 220, 237, 276?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 14. Let c(v) = v**2 - 8*v - 4. Let l be c(r). Suppose -l*t = -0*t - 50. What is the lowest common multiple of t and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13 smaller than 3\/517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j - 82. Let f be t(8). Suppose -f = -3*b, 2*x = 7*x - b - 18. Is x greater than 56\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2638?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a50 - -12?\nAnswer: -9a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2512 and 302672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99078655*b**3 + 47920067 wrt b?\nAnswer: 297235965*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3\/3 - 50*x**2\/3 + 145*x\/3 - 100\/3 = 0. What is x?\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, z: 2, c: 8, a: 4}. Give prob of sequence cap.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 0.32. Let t = -384906 + 384901. Which is the closest to -0.3? (a) t (b) 0.3 (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -7 - -5 - 1) + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 12, o - 145 = -4*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/20 + g**4\/12 - g**3\/6 + 5*g**2 - g. Let y be n(0). What is the tens digit of (-4)\/y - (-77)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u + g - 9 = 0, 0 = 2*g - 10. Suppose -u = -3*q + 2*q. Solve 0 = q*y - 4 - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78.088 - -0.088. Let v = -49.2557 + 127.26. Let o = s + v. What is o rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1555600 - 3322761739\/2136. What is the common denominator of i and -89\/84?\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 17*i**2 - 35*i + 8. Let l = -6 - -16. Calculate the remainder when g(3) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3*d - 1)*(0*d**3 + 0*d**3 - 5*d**3).\nAnswer: -15*d**4 - 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 7*j - 28*j + 9*j + j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f\/(f\/(f*f**(-2\/25)))*f)\/f)\/f*f**(-3))\/(f**(-1\/4)*f**(2\/9)\/f*f))**(21\/8))**(-2\/41) assuming f is positive.\nAnswer: f**(12929\/49200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102 + 11*i**2 - 102 + (11 + 2*i - 11)*(-275*i + 127*i + 57*i).\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/16)\/m)\/m)\/m**(-1\/3)*(((m**11\/m)\/m)\/m)**(-15))**48 assuming m is positive.\nAnswer: m**(-5795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -26bfd?\nAnswer: 26bf6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-5))\/(-2*1). Let n be (-1 - a)*(2 + -2). Let s = 1 - 1. Solve n*l + l - 3 = s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - l**2 - l + 1. Suppose -18*j + 181 = -539. Let x be 30\/j*(-8)\/(-3). Calculate q(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 (base 15) in base 3?\nAnswer: 102210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 5*q - 12. Give n(-21).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1533791028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let v = 0.1 + -0.1. Let y be (-8)\/18*(299\/(-26) + 10). Which is the closest to v? (a) 3 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*m + 112*m = 59 + 186. Sort 6, m, -7 in descending order.\nAnswer: 6, -7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110 + -30021?\nAnswer: -31131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -1, 115, -166, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14477, 28971, 43477, 58001, 72549, 87127, 101741?\n\"Answer: v**3 + 14487*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**2\/2 + 11*i + 31. Let q be f(10). Sort 2, q, 0, 4 in increasing order.\nAnswer: 0, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddkkdkd. Give prob of picking 4 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -20*g - 1396. Calculate q(-59).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.74017900143 and -3.\nAnswer: 14.74017900143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -2)*2\/(-4). Let h(g) = -g**3 - 5*g**2 - 9*g - 6. Let c be h(-3). Suppose -5*m = -2*n - 18, 5*m + 2*n - c = -r. Is 3 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v, -5*v + 20 = i + 2*i. Suppose 0 = d - 2 - i. Let n be d\/5*15\/54. Put 4, -2\/3, n in ascending order.\nAnswer: -2\/3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by 75.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*(sqrt(91) + sqrt(91)*-2))\/sqrt(7)*5)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 0*l**3 - l**3)*(10 + l - 10) + 0*l**4 - 2*l**4 + 3*l**4 + 2*l**4 - 7*l**4 + 3*l**4 + l**4 - 5*l**4 + l**4.\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 41*w - 927. Let b(y) = -27*y. Determine z(b(u)).\nAnswer: -1107*u - 927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:59 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 2*b + 2. Let s be m(2). Let r(k) = -3*k + 2. What is r(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from coqcrqp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 1, r: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1703.04 + -1703. Let z = 0.5 - 0. Is o bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345959419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -1 - (-11523 + 11494)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4758 and 8662.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*g - 38, 0 = -2*r - 5*g - 0*g + 23. What is the units digit of (84 + 1)*1\/15*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*y = -12, 2*x - 8*y + 16 = -12*y. Solve 5*u - 3*w - 14 = 5, u + 3 = x*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -657 - -37?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 1759*w - 355611. What is t(1049)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 333*o - 336*o + 9, h - 2 = -2*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6644 and 253378?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 + 2*h - 3. Calculate the remainder when c(7) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-45) + (-1719)\/(-5). Suppose 0 = -9*x + 5*x + j. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/182*1*-2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90875?\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -43. Let g = w + -9. Solve -3*q + 2*r + 10 = 4*r, -5*q + 3*r - g = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -46, -25, 16, 83, 182?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4446 divide 279684522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + -214.4. What is the second smallest value in j, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:58 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 26431*d**3 + 13195*d**3 + 13201*d**3.\nAnswer: -35*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5182, 10365, 15548, 20731, 25914?\n\"Answer: 5183*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -1.484. Let g = 0.0159892 - q. What is g rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5878.\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2485954 and -2485964 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3344.18, -2\/13, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + b + 3)*(-5016*b**4 - 3056*b**2 + 3056*b**2).\nAnswer: -5016*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**5\/15 - l**4\/6 + l**2\/3 - l\/3 + 6. Find o, given that g(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + (-520)\/15. Calculate the remainder when 30 is divided by 7\/(-14) - j\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1338 + 1674 = -48*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieeouiiuiozgougioeuu. Give prob of picking 3 u and 1 i.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 - -339. Suppose -2*o + u = 2*j, 3*o + 4*j = 210 + 6. Suppose a + o = 2*h - 3*a, 3*a = -5*h + 209. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o\/((o*o**(2\/23)*o)\/o))*o)**14)**(2\/9) assuming o is positive.\nAnswer: o**(448\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8017234 - 5*n**3 + 8017234.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135365743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.23?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 74, 8, 2, -2, -256.\nAnswer: -256, -3, -2, 2, 8, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1860*s**2 - 2*s - 102?\nAnswer: -3720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 12 = 0. Let b(k) = 1 - 2*k + k + d. Give b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14075, -14568, -15383, -16514, -17955, -19700, -21743?\nAnswer: -24078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:31 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 21*a - 6*a. Suppose -4*x = -0*x - 20, -w - x + 2104 = a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.68541ml to litres.\nAnswer: 0.09068541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2510a (base 11) to base 4\nAnswer: -20303210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475618*y - 238009*y - 11*y**3 - 237609*y.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2805*t**2 + 12*t + 36. Let o(x) = -1122*x**2 - 5*x - 15. Let b(n) = 5*m(n) + 12*o(n). Let r(j) = -j. What is b(r(q))?\nAnswer: 561*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/4 (b) -0.3 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9 and 288887.\nAnswer: 837772.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.142802 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-840)\/14)*76*6*9\/(-486).\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -207220.4262 - -33772?\nAnswer: -173448.4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 3*sqrt(133))*1)\/sqrt(7).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:35 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21153 and 30319941?\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/(-5) + 10\/(-25). Let g be (5\/(20\/12))\/(9\/j). Find the first derivative of 3 + 6*d**g + 20 - 22*d**4 wrt d.\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 130\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.05 (b) -3\/4 (c) 34\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/19460 and 57\/397540.\nAnswer: 2782780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:27 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from btmbt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, t: 1, w: 1, x: 2, u: 3}. Give prob of picking 1 t, 1 x, and 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 2. Let a(l) = -6*l + 3. Let p(i) = 3*a(i) + 4*t(i). Let h be p(2). Suppose 2*v = -0*v - 4, 3*r - 3*v = 0. Sort -1, r, h in descending order.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179525 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-18)*-40 + (-6)\/(-27). Suppose g = 5*i - 2*i. Let h(t) = 6*t - 5. Let z(w) = -w. Let l(d) = h(d) + 5*z(d). Determine l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143021101 (base 6) in base 5?\nAnswer: 1223122143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 + 3*r - 3. Let b be y(-7). Let s = 64 - 90. Let v = b + s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518502 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/((k*k**(-5\/4)\/k*k*k*k)\/k))**(-20)\/((k\/(k**6\/k))\/k**(1\/4)*(k\/(k*k**5))\/(k**3*k)) assuming k is positive.\nAnswer: k**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = 5*o, 2*o = -5*c - 15 + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i - i - 5*i)*(-30*i**4 + 56*i**4 - 44*i**4).\nAnswer: -162*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -426?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 448.3271 - 799.3044. Let a = 351 + y. Round a to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**3 + 104*y**2 + 18*y + 430. Let b be c(65). What is b rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 - u**2 - u**2)*(49*u - 94*u + 3*u)*(2*u + 2 - 2) + 2*u**4 - 2*u**4 - 2*u**4 to x*u**2 + s*u**4 + o*u + y + t*u**3 and give s.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 = 5*f + 18, 5*l = -3*f - 15. Suppose l*k = -8*k + 5848. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2. Let y(d) = 53*d - 9. Let r(b) = 26*b - 4. Let g(o) = -9*r(o) + 4*y(o). What is g(j(a))?\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + 0.55. Let n = -0.5 + c. Put -1\/6, -5, n in increasing order.\nAnswer: -5, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 10 = 5*m + 3*t, 2*m + 4 = t. Let z(w) = w**3 + 3*w**2 - 2. Let v be z(m). Solve u = f - 3, -4 = v*f - 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -248, -579, -1054, -1679?\n\"Answer: -v**3 - 63*v**2 + 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 2.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5284150*l**6 + 617*l**2 + l - 2072.\nAnswer: -634098000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:55 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 1171\/8. Sort -0.04, j, 4.\nAnswer: j, -0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 2\/377, 3, 81, 21?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/24 and 81\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 7 - 3 + 15)*(3*x + 2*x - 4*x)*(x**2 + 2*x**2 - x**2).\nAnswer: 14*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/(((q**(-7\/5)\/q)\/q*q)\/q)*q*q)\/q)\/q*q**(1\/9)*q**2\/q**(-3\/5))**(1\/5) assuming q is positive.\nAnswer: q**(73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 419228\nAnswer: -1\/209614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:59 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 19\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 13 + 15. Let r = 25 + f. Suppose -r = -2*p - j, p - 5 = -p + 5*j. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhrzzrzrhzzzrohosp. Give prob of picking 1 z, 1 s, 1 r, and 1 h.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = 2454. Let i = n - 399. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/19)*t**9*(t**(2\/7))**(-1\/27) assuming t is positive.\nAnswer: t**(32470\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2862 + 25805\/9. Let r be (-1)\/((-142)\/(-144) - 1). Calculate the common denominator of l and (-3)\/(-12) + 310\/r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.068? (a) -4 (b) -0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(24\/28) - 3)*1. Find the third derivative of 5*g**5 - 1797 - 2*g**4 + 1797 - 18*g**2 + 3*g**y wrt g.\nAnswer: 300*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-300)*4)\/(-12*(-16)\/480).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*3*12*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22 - -8) + -4 + 2. Let c be (-20)\/l*(4 + 16). Suppose p - 875 = -6*p. What is the greatest common factor of p and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 431, -30, 2, 3 in decreasing order.\nAnswer: 431, 4, 3, 2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111053033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/13 (c) 0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = t + 6, 0*l = -2*t + 2*l - 6. Let i be (t - -88)\/((-3)\/(-2)). Let g = i - 56. Is g < 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95.27 and -55.\nAnswer: -5239.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86975768 divided by 242.\nAnswer: 359404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrww when four letters picked without replacement from vwrpwwwrrrpwpvppvvvr.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = l + 73, 2*v + 5*l - 96 = 0. Let n be 8\/10*(-19)\/v. Put -0.9, n, -0.3 in descending order.\nAnswer: -0.3, n, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a + 2*a - 13*a. Let n(d) be the third derivative of d**5\/60 - 3*d**4\/8 + 7*d**3\/6 - 6*d**2. Let l be n(8). Calculate j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -306*l - 311. Let a(r) = -306*r - 309. Let i(v) = 4*a(v) - 3*w(v). Find the first derivative of i(x) wrt x.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -579 + 578.7. What is the closest to 0 in 86, -0.2, -4\/9, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 1073*s**7\/210 - 970*s**3\/3 - 1585*s**2. What is the derivative of k(v) wrt v?\nAnswer: 4292*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 152*j + 280466 = 71*j. Is -8249 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30728, -61515, -92302, -123089, -153876?\nAnswer: -184663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-6*((-196)\/(-735))\/((-16)\/(-20))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(35)\/(sqrt(14)\/sqrt(2)).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 5*m + 7, 5*u - 3*m = 15. Suppose -3*h + u*h + 11 = 4*o, -2*o + 7 = -h. Solve 0 = -h*f - i + 9, -3*f + i + 3*i = 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i - s = 81*i + 5, 0 = -5*i + 5*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -969864500 to the nearest one hundred thousand.\nAnswer: -969900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/(((-1773)\/1379)\/(20\/7)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(931) + sqrt(931)))**2 + 5 + sqrt(19) + (sqrt(19) + 0)*4 + sqrt(19).\nAnswer: -694*sqrt(19) + 93130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199880133*v**4 - 4564451*v**2 + v wrt v.\nAnswer: 4797123192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a. Let b(t) = -80*t + 10404. Give b(y(r)).\nAnswer: 960*r + 10404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**4 + y**3 + 4*y**4 + 0*y**2 - 16*y + 2*y**2 to the form a*y + x*y**4 + p*y**2 + r*y**3 + w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -902, -928, -970, -1028, -1102, -1192?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, 2, -1\/16, 2\/7, 815?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 130877 at most as big as 523505\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 + 16*o**2. Let x be (-7)\/(-2)*2 + -18 + 15. Let w(r) be the first derivative of r**4\/4 - r**3 + 10. Calculate x*t(p) + 22*w(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5684778 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241210.\nAnswer: 2, 5, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 25, -5*c = 23*g - 18*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -334, -502, -670, -838?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/10)\/(g**21*g)*(g**(3\/7)*g)\/g**46 assuming g is positive.\nAnswer: g**(-4681\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -628*f**2*k**3 - f**2*k - 1157*f**2 wrt k?\nAnswer: -1884*f**2*k**2 - f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {j: 1, w: 3, g: 1, z: 6, q: 6}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than or equal to -920767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9638 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26551897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -20.09. Let k = m + 0.29. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffaigiirzrzzzfizr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/850168 and -17\/352.\nAnswer: 3400672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2086918 - -0.5913088. Let y = w + -0.8. What is y rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153975009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 299605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.73 + 80.73. Let p = x + -81. What is the second smallest value in -0.4, -0.2, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9214 + 3*m**2 + 9214.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, -0.4, -1\/93?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140555 is divided by 493?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 634*n - 3042. Let z be c(5). Do z and 111 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 19. Solve -o = -c*i + 19, 3*o = -2*o + i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u - 42 = 2*n, -4*u - 2*n + 48 = 0. Solve 0*i = -5*i - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euc when three letters picked without replacement from {e: 2, u: 1, c: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541439*c*s**3 + c*s + 14*c + 6*s**2 - 2*s + 2 wrt s.\nAnswer: 3248634*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*b - 1138*b + 568*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69948532 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43864, -43777, -43682, -43579, -43468?\nAnswer: -43349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025830 = -3*d + 5*w, 3*w - 1709728 = -783*d + 778*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.5 - -92.5. Let y = -100.000195 + h. What is y rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256762 or 255621?\nAnswer: 256762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 2287875681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 10:26 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*u + 527*u - 212*u = 161*u - 3483 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*120\/540 - (-758)\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:27 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4913, 4906, 4881, 4826, 4729, 4578?\nAnswer: 4361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 334248 and 10236345?\nAnswer: 81890760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 + 13*w - 9*w - 40 + (-3*w - 2*w + 4*w)*(0 - 2 + 3) + 2*w + w - 2*w as b + c*w and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.2. Let g = 17 + -15. Let r = 3.2 + 1.8. Which is the second biggest value? (a) v (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1978*d**3 - d**2 + 4*d - 3. Let t be p(1). Is t at least 1979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375 (base 9) to base 6.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(1872) + 1 + 5 + (-4*sqrt(1872)*2 - (-6*(sqrt(1872) - (1 + sqrt(1872))) + sqrt(1872))**2).\nAnswer: -1899 - 228*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3) + (10 - -176). Let z = 166 - k. Sort 0, z, 1 in ascending order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/16 - (-638)\/8. Let l(z) = 3*z**3 - 3*z + 2. Let d be l(2). Calculate the greatest common divisor of j and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771261.\nAnswer: 1771261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 90745 = -3*z, -119*t + 2*z = -123*t + 90730. List the prime factors of t.\nAnswer: 2, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + -5 + 2 + -163 + 154.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.8402mg to tonnes.\nAnswer: 0.0000007228402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 13894554*p + 180628864.\nAnswer: 2*(p - 6947264)*(p - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105423 (base 7) to base 2.\nAnswer: 100100100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/140 + -2 - (-12)\/(-20). Let p = 18\/7 + w. Factor p*f**2 - 1\/2 - 1\/4*f.\nAnswer: (f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(((-16)\/(-2))\/(-16)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3997*p**2 + 0*p + 7*p - 4002*p**2 - 7 to the form n*p + r + m*p**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1171 - 1146 = 0. Suppose -4*b - 10*i = -5*i - 432, 0 = -w*b - 3*i + 540. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/8)*j**(1\/4))**(-2\/35) assuming j is positive.\nAnswer: j**(-1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and 21238626?\nAnswer: 21238633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -192, -272?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.95*13.\nAnswer: -77.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/6 - q**2\/2 - 5*q. Let s = -18 + 11. Give u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 721650.9 days?\nAnswer: 62350637760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-1\/7)*o))\/(o\/(o\/(o*o**(-2\/17)*o))) assuming o is positive.\nAnswer: o**(-326\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - ((sqrt(2) - (sqrt(40)\/sqrt(2))\/sqrt(10)) + sqrt(2)) - sqrt(18)\/(-2*2*sqrt(9) + sqrt(9)))**2 + 1)*-5.\nAnswer: -6295\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3590 + -3664.26. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/308*-11 - (-19)\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011020 - -11022100?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4924848 and 93\/88736.\nAnswer: 9849696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 54556*h**2 + 298144256*h + 1053871818048.\nAnswer: 2*(h - 14836)**2*(h + 2394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 196. What is j(47)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -743\/31. Is 0 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28825790 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 31543.\nAnswer: 4\/31543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -59. Let t(v) = -5*v - 43. Let g be t(-9). Let y be (g + (-7)\/5)\/((-18)\/(-90)). Solve -b = -5*x + y*x + d, -3*b = -5*x + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.049, 2, 1, 428, 1322 in ascending order.\nAnswer: -0.049, 1, 2, 428, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 27*z. Suppose -q + 5 = -j - 5, -46 = -5*q + j. Let b(r) = 5*r**2 + 0*r**2 - q*r**2 + 6*r**2. What is b(k(x))?\nAnswer: 1458*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1958852152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1458 - 1455. Which is the nearest to -51? (a) -0.5 (b) 1\/2 (c) -0.3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n**2 - 4*n + 1. Let q be z(0). What is the closest to q in 23, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:03 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 4*q**7\/21 - 13*q**3\/6 + 10*q. What is the second derivative of m(s) wrt s?\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -6533*l**4\/4 + 2*l**3\/3 - 3*l**2\/2 + 114*l - 4527. What is the third derivative of z(c) wrt c?\nAnswer: -39198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -23)*((-72)\/14 + 5). Let p = v + 374\/105. Let o = -125\/6 - -21. Put p, -4, o in decreasing order.\nAnswer: o, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 30\/8)*(-36 - -24). Solve -2*q - k = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/7 - 810*v**4 + 7254*v**3 + 254566*v**2\/7 - 638796*v\/7 + 339120\/7 = 0.\nAnswer: -5, 1, 12, 2826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386615562965 + 386615562965 + 7*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -2.93. Let g be 10\/4 - (-2 + 7)\/(20\/8). What is the closest to g in -3\/7, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n - 1. Suppose h - 12 = -0. Let i be (-6)\/4*h\/9. What are the prime factors of r(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-11) - (3 - 62\/22). Suppose 6*k - 4*k - 8 = 4*o, -4*k + 28 = -2*o. Suppose -4*l - 8 = 0, 4*d - d + 5*l = k. Solve -d*g - r = -8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 52*m - 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3890, 3889, 3888, 3887, 3886?\n\"Answer: -c + 3891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + 0)*(-147255)\/75.\nAnswer: 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*sqrt(112))**2.\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 149.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - t + 20. Let h(k) = 4*k**2 + k - 19. Let n = 2735 - 2732. Give n*m(l) + 2*h(l).\nAnswer: -l**2 - l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31113 - 11123?\nAnswer: 14440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 11, -3, 2, -6, 4, -1.\nAnswer: -118, -6, -3, -1, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 - 6.2. Put r, 10, 3, 0.4 in ascending order.\nAnswer: r, 0.4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 84 = -3*n. Solve h + n = -r, -4*r + 2 = -4*h + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**3 + 45*z**2 - 28*z + 5. Let g(d) = 23*d**3 - 117*d**2 + 70*d - 12. Let h(c) = -7*g(c) - 18*i(c). Let p = -7 - 0. What is h(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 13*x**2 - 23*x - 2. Let c be o(10). Calculate the greatest common divisor of 204 and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*y**2 + 18*y**4 - 3 + 17 - 11 wrt y.\nAnswer: 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2872384 or 1?\nAnswer: -2872384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = 12. Let a be 324\/(-378)*(-7)\/(-2). Sort a, t, -4.\nAnswer: t, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -27. Let q = w - -10. Which is the biggest value? (a) 2\/5 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - f + 6 = 0, 6*l - 3*l + 4*f - 4 = 0. Suppose l*w = 5*h + 51, 0 = 2*h - 1 + 7. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82028 divided by -1?\nAnswer: -82028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -6, 5, 7 in increasing order.\nAnswer: -6, -3, 5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 5b?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -2, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.1 (b) 1\/6 (c) -6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223088?\nAnswer: 2, 73, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2145.53 and 505467.\nAnswer: 503321.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 3401 = 216*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 703323.2 to the nearest one hundred.\nAnswer: 703300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + d**2 - d + 2. Does 6 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29, 2 in increasing order.\nAnswer: 0, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i**3 + 20*i**2 + 14. Let x(l) be the third derivative of -l**6\/24 + 7*l**5\/60 + 5*l**3\/6 - 25*l**2 + 1. Calculate 6*c(o) - 17*x(o).\nAnswer: o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 4*t**2 + 15*t + 66013. Is n(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*1*(-8)\/10. List the prime factors of 54*(1 - 6)*(-4)\/w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 613388213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114542819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 93*v**2 + 1578*v - 52. Let z be l(-17). Are z and 9\/2272 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 + 70*h - 307. What is k(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -52*v**3 + 2*v**2 - 1. Let n be a(-1). Let w = 134 - n. Suppose 15 = 6*f - 39. What is the greatest common divisor of w and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-162)\/(-18)*(-1)\/(-3). Let j = -1268 + 1264. Sort j, s, -1\/6, -0.4 in increasing order.\nAnswer: j, -0.4, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779.58247 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Suppose 5*n - 9*n + 1772 = h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 434?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5232684807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 + 76515*a**4 + 76565*a**3 - 688735*a**2 + 841740*a - 306080 = 0. What is a?\nAnswer: -4, 1, 15304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) + (-1 - -2). Suppose z = x*z - 1. Calculate the highest common factor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 6. Suppose 0 = -4*l - 3*q + 36, -5*l + 8 + 30 = 2*q. Calculate the least common multiple of j and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = -3*b - 3*v - 37, 143 = -13*b + 2*v - 7 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -3034430.112332 and -145.\nAnswer: -3034575.112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14501*j**3*w**6 + j**3*w**4 - 9*j**3*w + 2*j**2*w**2 - 1199 wrt w?\nAnswer: 1740120*j**3*w**3 + 24*j**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 14*s + 492\/5.\nAnswer: -2*(s - 41)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -132. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137795944 and 11440?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618981 = -38*r + 618259 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**5 + 24*c**4 + 3763*c**3 - 5201575*c**2?\nAnswer: 840*c**2 + 576*c + 22578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 49)*1 + -1*28.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-112)\/32 + 2039\/582). Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -995, -4811, -11457, -20957, -33335, -48615?\nAnswer: -66821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24824.\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12900144 and 56.\nAnswer: 90301008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.9 - 10. Let p be ((-3)\/(-12))\/(2\/2). Which is the nearest to -4? (a) -0.2 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2049 + -118\nAnswer: -117.7951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 45582*k\/5 + 364528\/5.\nAnswer: 2*(k + 8)*(k + 22783)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14475 is divided by 14428.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 71 in increasing order.\nAnswer: -5, -2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253660004 to the nearest integer?\nAnswer: 15927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.624, 0.004, -0.06 in descending order.\nAnswer: 0.624, 0.004, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(-2*g**2 + g**2 - g**2) + (0 + 5 - 6)*(0*g - 4*g + 5*g)*(10*g - 3*g - 99*g)*(5 - 2 - 1) in the form k + f*g**2 + w*g and give f.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*l**2 + 5*l**2 + l**3 - 5*l**2 + (-2*l**3 - 2*l**3 + 3*l**3)*(4 + 1 - 3) - 2*l**3 + l**3 - l**3 + l**3 - 4*l + 4*l.\nAnswer: -2*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**8\/4 + 3*v**7\/14 + 211*v**4\/12 + v**2\/2 - 652*v. What is the third derivative of w(f) wrt f?\nAnswer: -1680*f**3 + 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3005?\nAnswer: 24040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppffwffwfptffp. What is prob of sequence wtw?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -551*p**5\/6 + p**4\/24 + 959*p**3\/6 + 6283*p**2 + 2. What is the second derivative of o(l) wrt l?\nAnswer: -11020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(2\/13)))**37\/(f*(f**3\/f*f)\/f*f)**17)**30 assuming f is positive.\nAnswer: f**(-24300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11267 and 3781?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 25 = 5*m, 2*c - 6 = -3*m. Suppose a + 29 = -4*d + 4*a, -2*d - 17 = a. Is (-30)\/d*24\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*g - 215*g + 321 + 701 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2363 + 2363 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -673\/362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -1\/10, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*t + 111 = -71, -2*i - 182 = 2*t. Let v = i - -190. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - -427. Let j = -169 + v. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from wqxfwxnfnvvx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -490 - -326. Let t = -162 - h. Solve 0 = t*l - 11 + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = -3*h - 1337. Let i = h + -301. Round i to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2232821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 341*a**3\/3 - 1. Let u(o) = -76*o - 40*o - 45*o + 162*o. Calculate u(c(j)).\nAnswer: 341*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1759*n**5*p + 223*n**4 - 9*n**3 + 4051*n**2*p - 173*n**2 + 2*n*p + 2*p wrt n.\nAnswer: 105540*n**2*p + 5352*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2487226 divided by -173\nAnswer: 2487226\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 205860447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -37 - 23. Let x be ((-2)\/s)\/((-5)\/(-50)). Let c(i) = -i**3 - 9*i**2 - 8*i + 1. Let m be c(-8). What is the closest to m in x, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - -15) - (5 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 397 - 271. Calculate the greatest common divisor of k and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 77. Suppose x - 693 = -p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3) - (-2)\/3. Suppose -3 = f*s + 8*l - 4*l, 3*l = -9. Find c, given that 0*c - 4\/5*c**s - 6\/5*c**2 + 0 + 2\/5*c**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2650 and 325.\nAnswer: 34450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 4) + 111 - -1) + 20 + -62 + 36?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 130*(-11)\/440*1\/3*3\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3336 and -0.0121.\nAnswer: 40.3656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 60. Let b be (-16)\/(-10) - (-4)\/10. Suppose 0 = 3*d + 3*t - 3, -b = 4*t - 6. Does 20 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2580*u - 2950*u + 89138 = 1251*u - 107511 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 - 77. What is the derivative of -31 + d - 30*s - 30 wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 5\/2*h**2 - 1\/3*h**3 - 7*h + 0. Let p be r(0). Calculate the highest common factor of 40 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5351364 - 1243?\nAnswer: 5350121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -10051?\nAnswer: -10051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -49*b - 1088. What is t(-22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**2 - 2*s**2)*(3*s + 0*s - s)*(0*s**2 - 2*s**2 + s**2).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 6*(sqrt(84) + -3*sqrt(84) - sqrt(84) - sqrt(84)))\/sqrt(3))\/(-1*sqrt(196)*2).\nAnswer: -25*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 13*x + 245. What is the remainder when 209 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -75*y - 461. Is z(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 - 2*u - 9. Suppose 2*j = 2*t - 2, -4*t = -9*j + 6*j + 1. List the prime factors of h(j).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 415*u**3 + 4160*u**2 - 14640*u + 17280.\nAnswer: 5*(u - 72)*(u - 4)**2*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 6}. Give prob of sequence kw.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 320.424 kilometers?\nAnswer: 320424000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 0*t + 124*t**3.\nAnswer: 124*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:57 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22488344, -44976689, -67465034?\n\"Answer: -22488345*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7527.6015 - 7528. Sort -0.4, -3, n.\nAnswer: -3, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1062 and 1\/17936.\nAnswer: 161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*i**2*y**2 + 237624*i*y**2 - 23208890*y**2 with respect to i.\nAnswer: -22*i*y**2 + 237624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4304 (base 13) to base 10.\nAnswer: -9299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 25221*n + 176485. What is h(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4 + 2*g**3 - 134*g**2 - 2121*g?\nAnswer: -24*g**2 + 12*g - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269018 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*-1)\/(219 - (-7806302)\/(-35644))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000 (base 2) in base 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36\/17 in 26, 0.2, 0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26231? (a) -4 (b) -19 (c) -0.1 (d) -1\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-3)\/i*i**(3\/2))**(-23)*i**(-8)\/((i**(-2\/11)*i)\/i)*i*i\/i**(-1)*i\/((i*i**(-1\/9)*i)\/i) assuming i is positive.\nAnswer: i**(1345\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11726)\/(-130)*36\/(-198) - 8\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -8*g - 31 + 175 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 a factor of 388602051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 15 + 0 + -32.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 17291*g + 56 - 17291*g + (-3*g + 5*g - 4*g)*(2*g + 0*g + 3*g) to j + m*g**2 + o*g and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -133?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*o - 659 + 302 + 316)*(-2 + 0 + 0*o - o) as p*o**2 + w*o + v and give v.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/120650 and 51\/20.\nAnswer: 241300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3)\/((-6)\/18). Let u be p\/7*4\/(-8). Let j = -0.31 - -0.01. Which is the third smallest value? (a) u (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -618.7 + 619. Let a be (-66)\/21 + (-6)\/(-2). What is the nearest to -3\/2 in -0.1, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 37, 84, 161, 274, 429?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 13) + (43 - (-34 - -88))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.84 - -2.48. Let v = 4.17 - -3.47. Let g = z - v. What is the third smallest value in -0.4, 1, g, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/6 - 19\/(-57). Let h be ((-4)\/6)\/(x\/(-27)). Sort -2, 6, h in ascending order.\nAnswer: h, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-10)\/6)*-9*1. Suppose u*j - 4 = 2. Determine y, given that -4*y**2 - 243*y**3 + j*y**5 + 8*y**4 + 2*y + 12*y**2 + 255*y**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:12 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/6)\/(40\/(-15) + 3). Put b, -101, -4, 4 in descending order.\nAnswer: b, 4, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjtthjtthh. What is prob of picking 4 h?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**3\/6 - 3*k**2 - 6*k. What is b(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-378))\/(8\/14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, 2, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*a**5 - a**4 + 441994*a**3 + 12571540*a**2.\nAnswer: -2160*a**2 - 24*a + 2651964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 0) + 1 - 4 - -7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333332 + -221234?\nAnswer: -1110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5004, -20373, -46668, -84447, -134268, -196689, -272268, -361563?\nAnswer: -465132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14580 - -14579.43. What is the second biggest value in s, 0.3, -9\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfmf when four letters picked without replacement from mffmmmfmmmm.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 116*c**2 + 3282*c - 72. Give g(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*d**2*v*w**3 - d**2*v*w - 12*d*v*w**3 + 2*d*w**3 - 96661*v + w**2 - 2*w wrt w?\nAnswer: -402*d**2*v - 72*d*v + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10237cb2 - 5?\nAnswer: 10237cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j\/(j*j**42)*(j\/((j**9*j)\/j)*j*j)**0)**(-31) assuming j is positive.\nAnswer: j**(3875\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -636, -2\/17, -0.2 in descending order.\nAnswer: -2\/17, -0.2, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -158, -147, -136, -125, -114?\n\"Answer: 11*t - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64805201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910294?\nAnswer: 2, 955147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4037 + 366.4037. Which is the second smallest value? (a) 0.1 (b) y (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1198 and 0.05.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 0 in ascending order.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 539, 9, 5 in descending order.\nAnswer: 539, 9, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -658860 rounded to the nearest one thousand?\nAnswer: -659000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 76, 81, 78, 79, 96, 141?\n\"Answer: 2*a**3 - 22*a**2 + 77*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Which is the second smallest value? (a) 6\/11 (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/394 + -10729\/591. Let m = 2661 + -47911\/18. Find the common denominator of m and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c, 5*n = 3*c + 46 + 9. Let k(m) = -m**3 + 9*m**2 - 8*m - 6. Calculate k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 8*w**2 + 7*w + 2. Let r be u(-7). Suppose -l = -r*l + 4. Let n(m) = -2*m + 6*m + m + 4 - 3*m. Let a(z) = -3*z - 5. Give l*a(v) + 5*n(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1880, 3721, 5562, 7403?\n\"Answer: 1841*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4 - 2)\/(-1). Let x = -3.4 + 9.9. Let a = x - 1.5. What is the closest to -0.07 in a, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -701438051*b**3 + 118454257*b**2?\nAnswer: -4208628306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 147*m**2 - 546*m - 695.\nAnswer: -(m - 5)*(m + 1)*(2*m - 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 1547*l + 163314. Determine v(114).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131340444 (base 5) in base 10?\nAnswer: -652624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -610 - -183. Let u = 430 + a. Solve -2 + 11 = u*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let p = -405 - -411. Give w(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705709903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -495 * -23095\nAnswer: 11432025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -301392 divided by 8372?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Suppose -m*f + 11447 = 3137. Let b = -33107\/12 + f. What is the common denominator of -121\/6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -4\/7, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 15 = -5*s, -3*k + 4*s - 16 + 5 + 42 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -267346, -5, -2, -0.2, 11 in ascending order.\nAnswer: -267346, -5, -2, -0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**3 - 25*h**2 + 5*h - 11. Calculate the remainder when i(-6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 13*i - 16. Let u be k(4). Suppose 3*c - 1680 = -u*c. Calculate the greatest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 435*y - 4332. Let i(o) = 3*o**2 + 289*o + 2888. Let m(u) = -7*i(u) - 5*p(u). Suppose m(q) = 0. What is q?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Is n less than or equal to 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (936\/112)\/(-39)*-8*(-4)\/(-72).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42645429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 438329.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = -38. Calculate the remainder when 113 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111396.42422 to the nearest 10.\nAnswer: 111400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -482.4 - -435. Let m = p - -47.6. Which is the third smallest value? (a) -1\/13 (b) -1\/2 (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8497*t - t**2 - 8497*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**7\/210 + 13*d**6\/360 + 19*d**5\/180 + 11*d**4\/72 + d**3\/9 + 13*d**2. What is j in b(j) = 0?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 107 + -28 - (-1)\/(2\/(-10)). Suppose 0 = 2*c - 2, 3*p = 4*c - 92 - 50. Let g = p + i. Is g > 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -16, 2, -2, 3 in decreasing order.\nAnswer: 6, 3, 2, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**2 + 1\/210*b**5 + 3 - 1\/42*b**4 + 0*b**3 + 0*b. Let p(l) be the second derivative of t(l). Find j such that p(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(10)\/sqrt(5)*1*6 + (1*sqrt(162) + -1 + sqrt(162) + 4)**2.\nAnswer: 138*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-212)\/15 - 14\/(-105). Find the common denominator of -25\/103 and k*7\/((-84)\/10).\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 equal to -1743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 33*k = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.09 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/46 + 61\/230. Let h = -51 + 50. Let s = -5 + 3. Which is the closest to h? (a) s (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7283 - -864. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111400559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2712.6931 times 0.1?\nAnswer: -271.26931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:21 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*p - 30*p - 30. Let q(b) = -b**2 + 5328*b - 10672*b - p + 5334*b. Calculate q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3250 + -1470. What are the prime factors of o?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -15.6, -0.3, -90, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 198293397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-74) - ((-1625944)\/296 - -6).\nAnswer: 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51234 + 11610 = -12*r. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Let y be (0 - r) + 1 + 5. What is the second derivative of -p - p**y - 4*p**4 + 4*p**4 - 2*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1308)\/(-93) + (-38 - (-32 - -8))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 209 or 1681?\nAnswer: 1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/50 and -79\/120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-69))\/(4\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180831 - -749231. Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -124, -137, -150, -163, -176?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/69 + 1 - 17\/69.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.2. Let s = 0.015 - -0.215. Let j = 0.07 + s. What is the nearest to 0.1 in h, j, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 47. Solve b + v = 4*p, 0 = 4*p + p + 4*b + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 17921 + 5277 = 0. Let y = 265589\/21 - a. Find the common denominator of -9\/35 and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.65 + 6.85. Sort 0, m, -2, 0.2 in decreasing order.\nAnswer: 0.2, 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - r + 2 - 1 - 23*r**4 + 25*r**4 as v*r**2 + g*r**4 + t*r**3 + n + d*r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 22545 = 3*l, -w = 4*l + 1048 - 5540. What is the least common multiple of 3 and w?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4900) + sqrt(4900)*2 + sqrt(4900) - sqrt(4900)) + (sqrt(49) - (sqrt(3136)*-1 + sqrt(49))))*2)\/((sqrt(560)*-6)\/(sqrt(125) + 2*sqrt(125))).\nAnswer: -95*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 13. Determine y(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 3*q - 2. Let b be g(-2). Let i be (-12)\/72 - (124\/(-24) - 0). Suppose 11*y = x + 9*y + 1, i*y = 3*x + 1. Solve x = l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(117\/(-27)))\/(-5)*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 1, -9.2, -0.5, -0.2 in descending order.\nAnswer: 1, -0.1, -0.2, -0.5, -2, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198.985 + 198.785. Let t = 0.4 - 2.4. Let w(k) = -k**3 - 3*k**2 - 3*k - 3. Let v be w(-3). Which is the closest to r? (a) t (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 57*i - 35*i. What is the hundreds digit of -2 - (2\/i + 14714\/(-105))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*z**2\/8 - 65*z\/4 - 25\/8.\nAnswer: -(13*z + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25273438 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/9)\/((-1)\/(-6)). Suppose 76 - 287 = 188*i + 541. Which is the fourth smallest value? (a) z (b) -1\/5 (c) -1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((1 - -26) + (59 - 73)) - -81?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {c: 1, y: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 10 in descending order.\nAnswer: 10, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 617 and 134.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2684694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3443 divided by 2\nAnswer: -3443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(704) - -1*sqrt(704)))**2.\nAnswer: -160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/23, 112, 3, 577\/4 in decreasing order.\nAnswer: 577\/4, 112, 3, 20\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 66, 100, 136, 174?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -73. Let q = 3.08 + -3.11. Put -2\/3, w, q in ascending order.\nAnswer: w, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 113*p**3 + 5*p**2 + p - 5. Let a(r) = r**3 + r**2 + 2*r - 1. Calculate 5*a(q) - j(q).\nAnswer: -108*q**3 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 + 6*h + 1. Let u be s(-6). Let n be 6\/12 + u\/2. What is the second biggest value in 0.4, n, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*w**2 + c**2*w**3 - 2*c*w**3 + 30*w**3 wrt c?\nAnswer: -12*c*w**2 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = -2*g, 0 = 2*z - 0*g - 5*g + 4. Let k be (z\/10)\/(1\/5). Let y(w) = 0*w**2 + w**3 - 6*w + 0 - 5 + k*w**2. Give y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 30*b**3 + 76*b**2 - 120*b - 272.\nAnswer: -2*(b - 17)*(b - 2)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x - 5. Let z be t(4). Suppose 3*k + z = 0, k = 2*l - k. Put 3\/8, -0.5, -0.3, l in ascending order.\nAnswer: l, -0.5, -0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162.786023 microseconds in weeks?\nAnswer: 0.0000000019225959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-16) - 2 - (-9)\/2. Suppose o = -o - x + 3602, 0 = p*x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2 - 2 + 83*c**2 - 82*c**2. Let a(k) = 2*k**2. What is n(a(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1948492 less than or equal to -1948511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -81*n**2 + 4*n + 3. Let c be b(-1). Let z = 39 - c. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273627 and 15507.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 30*a - 5 + 24*a - 5*a**2 + 2*a**3 - a**3. Let i be n(-4). What is the tens digit of 66 - (2 + i + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a millennium in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 92. Suppose u + m*v + 12 = 0, 0 = 2*u - 3*v - 10 - 1. Which is bigger: -9\/8 or u?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -547 divided by 33\nAnswer: -547\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49255 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1347, 2, -1\/11, 0, 1\/3, -41.5 in decreasing order.\nAnswer: 2, 1\/3, 0, -1\/11, -41.5, -1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s - 2. Let c(g) = -2*g**2 + g + 5. Determine 3*c(n) + 7*j(n).\nAnswer: n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**4 - 17*w**2 - 132*w + 5. Let k(h) = h**4 + 26*h**2 + 198*h - 7. Let u(p) = -5*k(p) - 7*q(p). What is the second derivative of u(t) wrt t?\nAnswer: 24*t**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4294 from 0.3.\nAnswer: -0.1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/7 - 52*a**2 + 106398*a\/7 + 19881936\/7 = 0.\nAnswer: -207, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 21*s - 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.17 - -32.17. Put -0.48, -4, s, 0 in descending order.\nAnswer: 0, -0.48, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**7\/630 + u**5\/180 - u**2\/2 - 6*u. Let s(i) be the first derivative of j(i). Factor s(g).\nAnswer: -g**2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnnnnnnunnun. Give prob of sequence nuun.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -833, -1894, -3379, -5288?\nAnswer: -7621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48 or -95859\/2029?\nAnswer: -95859\/2029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 775 = -14*n. Let k = n + 160. Let t = -28 + 43. Solve 0 = k*d - 2*d - t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*i - 18, -2 = i - 4*p + 7. Solve 0*o = -2*g - o - 1, 0 = -2*g - 3*o - i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505.648 millennia in years?\nAnswer: 6505648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -8862.8.\nAnswer: -8862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 9*a + 12. What is w(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzqzzzqzqzqzzzqzzz. Give prob of picking 2 z.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150054578588 minus 2.1?\nAnswer: -1.949945421412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6543657 (base 9) to base 5.\nAnswer: -1344402420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70059, -70055, -70049, -70041, -70031, -70019, -70005?\nAnswer: -69989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 719 - 719.3. Let y = 5 - 9. What is the closest to 1\/2 in y, 1\/4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 209*y + 358. Let s be p(94). Which is smaller: s or -1615?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 0 - 2) + 1. Suppose -y*o = -5*o. Let p = 0.51 - 0.21. Put -5, p, o in decreasing order.\nAnswer: p, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cflfcycfff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 522. Let r be p(-23). Is r less than or equal to 581\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4097 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820322?\nAnswer: 2, 3, 7, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1532867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 91*a = 39*a + 23*a. Let y(q) be the second derivative of -8*q + a*q**3 - 1\/4*q**4 + 0*q**2 + 0. Let j(s) = -4*s**2. What is j(y(h))?\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.1 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 17\/6023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1381604.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-10))\/(44\/110). What are the prime factors of 187\/u - (-11)\/(-33)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 944*w\/5 + 111392\/5.\nAnswer: 2*(w - 236)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Suppose 0 = 6*w - 1 - h. Let r(m) = 23*m + 1. What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-15)\/(-70))*(-55)\/(16170\/8484)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 3*k**3 - 2*k**3 + k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -159? (a) 0.5 (b) 3\/2 (c) -4\/231 (d) 3 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - x + 6 = 0, -2*x + 16 = -4*n + 3*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/(x**(-20)*x*x) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65460, -261842, -589146, -1047372, -1636520, -2356590?\nAnswer: -3207582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-82)\/8 + (-1)\/(-4). Let t = 12 + i. Find the third derivative of 2*x**t + 2*x**2 + 17*x**2 + 31*x**4 wrt x.\nAnswer: 744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 38. Let c(l) = -8*l - 4 + 2 + l**3 - 8*l + 0 - 8 - 17*l**2. What are the prime factors of c(v)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0142 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + 3 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*l + 3*w - 10, 0 = 2*l - 2*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22013232 (base 4) to base 3.\nAnswer: 2002212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 4*w**2 - w - 5. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42172\/6488)\/(1495\/2)?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 3)\/(7\/2730) - 5.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**8\/1344 - h**7\/420 + h**5\/120 + h**4\/96 + 7*h**2. Factor b(a).\nAnswer: -a*(a - 1)*(a + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*x**2 - 2895*a - 62*x**4 wrt x.\nAnswer: -8*a*x - 248*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = t - l + 6*l, -l = 5*t - 23. Let o be t\/(-126)*-9 - (-2)\/(-7). Solve s + s + 2 = o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from bbrurrbxuububuubbrr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*m + 2840 = 579*m. What are the prime factors of m?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - (12 + -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s**7)\/((s\/s**(-21))\/s*s**(-7)) assuming s is positive.\nAnswer: s**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1031617 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403 + 10*h**2 - 3*h**2 + 109 + 0*h**2 - 8*h**2 to the form f*h + b + m*h**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -22?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than 105.7?\nAnswer: 105.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 4, 3 in descending order.\nAnswer: 5, 4, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 341.713429 and 3.\nAnswer: 344.713429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4310 or 3923?\nAnswer: 3923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 253429*a + 1267161. Calculate p(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 6)*2\/(-4). Let d be 1 - ((q - 3) + 0). Suppose -d*y + 14 = -3*s - 55, 0 = -s + 1. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24282?\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**4 + 10 + 1 + 1 - 1 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-108))\/(9*14\/(-756)))\/((-20)\/2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -176.9929. Round d to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2396*x = 2399*x + 126 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15730.394 to the nearest 100.\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1008 divided by 72\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1666*k - 1117301 + 1117301)*(-8 + 5 + 8) + 3*k + 4*k - 5*k as m + r*k and give r.\nAnswer: -8328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from bvkbbvvvvvvvvvv?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 123719*z - 6*z**2 + 2*z**2 - 123719*z. Suppose -2*x = -7*x. Let b(t) = x*t + t - 3*t - 3*t. Give b(v(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 85*r - 1. Let k be x(1). Let j be 1*-2 + k + -2. Let d be 6\/3*-13 - 3192\/(-76). What is the greatest common factor of d and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 3. Suppose 0*x = -6*x + 12. Let r(o) = 7*o + 7. Suppose -2*f + 20 = -6*f. What is f*m(h) + x*r(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 1, d: 2, j: 8, w: 5}. What is prob of sequence jw?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(567\/6)*(-6)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6522082 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -1082, -1086, -1092?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 12:09 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/(-1)*(-129)\/(-86).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*f - 111*f - 25063 = -254*f + 22816 for f.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 4 - 4. Let p(q) = -3*q**2 + 5*q**2 + 0*q**2. Give p(s(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -332 (b) 144 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -54. Which is the fourth smallest value? (a) -1\/8 (b) -4 (c) 1\/10 (d) j (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 74 = 10. Let a be ((-9)\/(-12))\/((-4)\/(-16)). Suppose 4*o - 2*l = -8, -3*o - 10 = -a*l + 2. Is o > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/24 - 37\/4. Let n(b) = b + 12. Let m be n(x). Solve 3*q - 3*z - 24 = 0, -m*q - 1 = 2*z - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.41 - 5.41. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 1)*(-1 + 6 + 0)*(-45 + 45 - 7*p**2) as m*p**2 + l + c*p and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -40*r + 6890. Give b(171).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 26*z**2 + z**2 - 46*z**2 + 5*z**2 + 9*z**2. Let l(i) be the second derivative of -3*i**3\/2 - i**2 - 3*i. What is w(l(f))?\nAnswer: -162*f**2 - 72*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 815 + -614. Let n = 200.98 - b. Does n = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbwksiikkssskkssss. Give prob of sequence ki.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12870270613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-2 - -1)*3. Suppose -m - 20 = -q - 4*m, 0 = m + 4. What is the greatest common divisor of q and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087805 (base 9) in base 12?\nAnswer: 67841b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 1. Suppose -4*v - 28 = -4*x, -2*v = -3*x + 11 + 6. Let g(m) = 3*m + 4. Let l = 15 - 16. Calculate l*g(u) + v*q(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 83*w**2 + 56*w - 25. Is j(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z**2 - 5*z. Let o(u) be the third derivative of u**5\/12 + u**4\/8 - 9*u**2. Let i(d) = -3*k(d) - 5*o(d). Let s(y) = y**2. Give s(i(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 3 + 29 + -26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1\/4, -6\/385?\nAnswer: -6\/385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*m + 1035 = -545*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 5*t. Let i(l) = -l**2 + 8*l - 3. Let n be i(7). Suppose -4*d = 4 + n. Are d and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72896 is divided by 17614.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + 38*b - 37. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 17*l. Solve -4*o + 0 + 20 = l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 105 - 43\/4*q + 1\/4*q**2 = 0.\nAnswer: 15, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (74 - (-40 + 92)) + 55?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpuspppjwjvjpjjj. What is prob of sequence puus?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030301 (base 4) in base 13?\nAnswer: 230c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + (5 - 0) + -6)) + -12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/4 - 1267447*b\/2 + 1606421897809\/4 = 0.\nAnswer: 1267447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4480571*q**2 + 4480571*q**2 + 0*q - q**3 + 0*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -28*j + 140. What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2915*o - 2924*o = 63. Let h be 24\/10 + 4 + -6. Which is the closest to o? (a) 4 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/5, 8, 245.\nAnswer: 4\/5, 2, 8, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5289 - -322637\/61. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-3248 - 2148 - 365 + 1199)*(0*j**3 - j**3 - j**3).\nAnswer: 18248*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 = 22*i - 24*i. Let o be i + (2 + 3\/(-2))*8. Suppose j = -2*j + 4*r + 116, -3*j + 115 = -5*r. Calculate the greatest common divisor of o and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, c: 2, x: 5, w: 1}. Give prob of sequence xwc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1737)\/36*-4*(2 - 1)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 393*z**2 - 3*z. Let i be r(4). Suppose 319 + i = 5*q. Let v = q - 3920\/3. Find the common denominator of 57\/2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-189)*22\/((-352)\/12)*4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21011020 (base 4) to base 2.\nAnswer: -1001000101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-4)\/sqrt(4))\/(5*sqrt(9)\/sqrt(3)) - ((sqrt(156)\/(sqrt(1452)*1))**2 - ((2*sqrt(130))\/sqrt(10) + 4)).\nAnswer: 471\/121 + 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13\/(-26))\/((0 + 4)\/(-8)). Let f be (-2 - 0)\/(-9*5\/(-90)). Sort l, -1, 5, f.\nAnswer: f, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 38, -8, -4\/25, -4?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15635 by -15635.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -315, -5, 2, -74 in decreasing order.\nAnswer: 2, 1, -5, -74, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*k**3 + 496*k**3 - 40451 + 837*k**3 + 40451.\nAnswer: 1414*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227.24 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - (-3 + 9\/10) and 2611\/798 + (-4 - 0\/3).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3070*o + 3. Let m(a) = -9210*a - 6. Let k(z) = -7*g(z) - 2*m(z). Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 35*g + 7 - 4 - 3. Suppose 0 = -504*j + 161 - 665. What is k(j)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3 + 8583*k**2 - 120054*k?\nAnswer: -18*k + 17166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 68266950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 18 = -2*u. Let x(l) = -8*l - 1. Is x(u) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose r*h - 65 = -3*l, -3*h + 7*h - 5*l = 89. Calculate the highest common factor of h and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 9*x**3 - 6*x + 1 + 3*x. What is the units digit of m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1\/x)\/x)**46*(x\/(x*x\/(x\/((x*x\/x**(2\/27)*x)\/x))))\/x**8)**34 assuming x is positive.\nAnswer: x**(-51340\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times -565\nAnswer: 1186.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 223533 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 151, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123121 - 412?\nAnswer: 122204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2198 and 67.\nAnswer: 147266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137*m**2 + 139*m**2 - 430 - 304 + 270*m**2 wrt m.\nAnswer: 1092*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49462867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 9)*(-3)\/(-2). Let t = 14 - g. Is 10 a factor of 136\/(12\/3) + t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-258)\/(-1806) + 20\/126*-3. Let t be (-22)\/(-152) + 1\/(-4). Which is the biggest value? (a) t (b) v (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122112 + -11?\nAnswer: -122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-522)\/(-203) + (-280)\/24.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {l: 1, p: 6, v: 3, o: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2531.58 - 2577. Round o to 0 decimal places.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 40. Let d(s) = 1 - s**2 - 2 + 3*s**3 - 4*s**3 + s. Determine d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46638002 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 5 (c) 3\/4 (d) 1\/9 (e) 0.5 (f) -8.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 11*v - 2613. Let h = v + -447. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150*f**5 + 2*f**3 - 7*f**2 - 6*f + 3190 wrt f.\nAnswer: 3000*f**3 + 12*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-7) + (-198)\/(-231). Sort 4, 68, b, 1.\nAnswer: b, 1, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, i: 1, y: 4}. Give prob of picking 2 y.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = -10*j + 2204. Calculate the highest common factor of j and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39376 divided by -2461\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*p**3 + 15*p**3 + 99*p**2 - 70*p**3.\nAnswer: 2*p**3 + 99*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 - 193. Let c = -0.8 - 1. Let q = c + 2. Sort 4, v, q in decreasing order.\nAnswer: 4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (6*-12 + 2). Suppose 4*i + 3*m + 96 = 0, 0 = -0*i + 3*i - 4*m + h. What is the smallest common multiple of 4 and (-1)\/(-3) + (-112)\/i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50891180 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: Solve 5*h - 65 = 0, -19*j - h = 9*j - 24*j - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -58*s - 760. Let k be l(-13). Let n be ((-6)\/5)\/(3\/350). Is n*3\/(45\/k) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) 1\/7 (c) -2\/31 (d) -654 (e) -0.03 (f) 1\/3 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 + 7 = 0. Suppose h = 2*d - 0*d. Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**3 - 28*x**2 - 4*x - 4. Let k(b) = 15*b**3 + 27*b**2 + 3*b + 3. Let y(s) = 3*d(s) + 4*k(s). What is the third derivative of y(v) wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 13. Let g(t) = -3*t**3 + 8*t**2 - 3*t - 8. Let h be g(2). Give o(h).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5\/((-75)\/144)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-2\/29)*y)\/y)**42\/(y**(1\/11)\/y*y)**(11\/2) assuming y is positive.\nAnswer: y**(2239\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 - 7*q**3 + 0*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355879.6 micrograms to milligrams.\nAnswer: 355.8796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103225 (base 7) in base 3?\nAnswer: -220121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 695578157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awfffffwawff. Give prob of picking 1 a and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -74*v + 140 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 9, x: 8, s: 1}. What is prob of picking 2 x and 2 v?\nAnswer: 336\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -112211111?\nAnswer: -112212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:01 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 0*o + 9 - 3*o. Let v be t(-8). Is v at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Suppose -2 = -w*c + 2*c. Suppose -3*s + 27 = 3*d, -s = -4*d - c*s + 27. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 0*w - 2*w + 2*w. Let a(r) = 2*r - 5. Let t(d) = 6*d - 16. Let v(g) = 16*a(g) - 5*t(g). Give v(j(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410288 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/792 + 3\/88. Put -4\/5, k, -2\/5 in decreasing order.\nAnswer: k, -2\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -67*w**3\/6 + w - 51. Let o(q) = 30*q**2. Calculate h(o(u)).\nAnswer: -2010*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*a + 16, -2*a + 0*i = 2*i. Let h be 85\/6 - a\/(-12). Let r be 3*1\/(-1) + h. What is the greatest common factor of r and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-216)*6)\/((-4)\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 - 2*h**3 + 89*h**2 + 44*h + 35*h - h - 43*h in the form j*h**2 + z + r*h**3 + i*h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 63 + 72 + -1 - (-119 + 142).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-1 + -3))\/(4\/8). Suppose -2*j - j - z = -100, -o = -z. Let y = 150 - j. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 137.\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -4, -0.2, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5186, -10824, -16396, -21908, -27366, -32776, -38144?\n\"Answer: -l**3 + 39*l**2 - 5748*l + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (63\/(-84))\/((-97164)\/32). Is -1 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tztnfnllq. What is prob of sequence qfll?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 778, -29, 2\/5, 2\/3 in ascending order.\nAnswer: -29, 2\/5, 2\/3, 778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1196\/9 - 133. Let h = -0.96 - -1.06. Put -4, h, y, 2\/9 in increasing order.\nAnswer: -4, y, h, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let s be 12\/135*3\/(-2). Let x = 116 + -115.8. What is the biggest value in x, s, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5\/6 + 1139*t**4\/2 + 210361*t**3\/3 + 2190581*t**2 + 25038479*t\/6 + 4104099\/2 = 0.\nAnswer: -59, -1, 3537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence why when three letters picked without replacement from {w: 1, y: 1, h: 1, k: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2027 - -0.7027. Let b = -84 - -83.8. What is the second biggest value in b, 14\/9, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 147, 222?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727870 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60803 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*d - 39071, -421*d + 39077 = m - 418*d. List the prime factors of m.\nAnswer: 2, 7, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 873 + -878. Sort 28, 5, t in increasing order.\nAnswer: t, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 12*d - 68, 0 = 35*d - 37*d + q + 14. Let l(n) = -n**2 + 5*n - 1. Let m be l(7). What is the remainder when (-414)\/m + 4\/10 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 523*h**4 - 5*h**2 - 54*h**2 - 1 - 1517*h**4 wrt h?\nAnswer: -23856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j**2 + 0*j**2)*(3*j + 3*j**2 - 3*j) - 4*j**5 + 10*j**5 - 5*j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2187 = 3*u, -u = -0*p - p - 729. Round u to the nearest 10.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25, -253, 4, -5 in increasing order.\nAnswer: -253, -5, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 1 (c) -0.06 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhe. Give prob of picking 1 j and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27 and 281436541?\nAnswer: 281436514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:45 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*t + 14, -31*u + 36*u - 10 = 5*t. Let r = 12.37 - -0.03. Let n = -12 + r. Which is the closest to t? (a) n (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 38. Suppose -p*i = -27 - 1. Calculate the lowest common multiple of 11 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 259 = 5*u, 0 = -4*a + 2*u + u + 349. Differentiate 11*x + a - 11*x + 35*x wrt x.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Let c(o) = 3*o - 4. Is c(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7036965?\nAnswer: 3, 5, 13, 23, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/43013 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2456 and 2711117.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 343368 + 524632. What is g rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2617153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 30*j. Let c(p) = -277*p - 101. Calculate l(c(b)).\nAnswer: -8310*b - 3030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7302596 is divided by 7819.\nAnswer: 7469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (273\/(-455))\/(153\/(-10))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14842, 19252, 23662, 28072?\nAnswer: 32482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10793461 - -32.\nAnswer: -10793429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632536 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -21*g**2 + 971*g + 11. Let l(v) = -4*v**2 + 194*v + 2. What is -2*f(b) + 11*l(b)?\nAnswer: -2*b**2 + 192*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -31 (b) 1 (c) -80 (d) 0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 4*r + 5. Let j(t) = 18*t - 2. Let w(q) = 106*q - 12. Let m(i) = -6*j(i) + w(i). Calculate m(a(u)).\nAnswer: 2*u**2 - 8*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 13*b + 26. Give y(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 5, 1 in descending order.\nAnswer: 5, 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 8*p**2 - 5*p + 4. Let b be u(-8). Suppose 0 = -9*l + 7 + 56. Let i(y) = y - 3. Let k be i(l). Calculate the greatest common factor of k and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392300623.\nAnswer: 11, 13, 1259, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)*g)\/g*g**(-17)*g)\/(g\/(g\/g**(-6)))**(-10\/9) assuming g is positive.\nAnswer: g**(-482\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/6*530\/(-15).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 32 - -3 - (6 - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 5*o + 4. Let k be t(5). Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2535540813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -8\/7*i**5 - 6*i**4 - 4\/7 - 74\/7*i**2 - 82\/7*i**3 - 30\/7*i = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21117.\nAnswer: 3, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times 15?\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391238.\nAnswer: 2, 919, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 1)*(5*h**4 + h**4 + 0*h**4).\nAnswer: 54*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 42*k**2 - 30*k - 4. Let f be n(1). Solve -13*m + f*m = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161719 + y**2 - 161719.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4416 and 6432.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. Suppose 1 + a = 2*r. Let q(s) = s**3 - 3*s**2 - 2*s - 4. What is the least common multiple of 6 and q(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5. Let a be (25\/20)\/(s\/(-4)). Suppose -168 = -a*g - 28. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 805*k - 807*k - 4*c - 8, 2*c + 12 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -844, 676, -2 in decreasing order.\nAnswer: 676, -2, -844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7675)\/100 - 861\/(-492) - 21*-1\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (205 - 224) + 0 + 62 + 18?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((48\/10)\/(-4))\/((-6)\/20). List the prime factors of 12\/((-16)\/v) + 402.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 8794*n + 17578. What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 45, 154, 369, 726, 1261, 2010, 3009?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 plus 315679303661?\nAnswer: 315679303583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -204, -305, -404?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1119369 by -16707.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -1 (b) -3\/2 (c) 1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -530132.4905 to the nearest 1000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*t + 20, 0 = m + 2*t - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 - 129. Suppose -2*w - 3*d - d + c = 0, -2*d - 85 = -5*w. Calculate the remainder when 134 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2668*s**2 + s**3 - 2668*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1594 = 4*l - 478. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -32 + 73 + (-15168)\/416?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277 - 120. Let a = -11661549.00234 - -11661706. Let i = a - u. Round i to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10199916*s - 8832 = -10199852*s for s.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 130.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -574 in -2\/13, -0.5, 0, -0.4, -266?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1840 - 1775 - (-86)\/(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27734*m - 1 + 1 - 27037*m to c + l*m and give l.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 13. Let s be p(-15). Let t be ((-2)\/(-4))\/(s\/12). What is the first derivative of -6*u**3 - 3*u**t + 4 + 3*u**3 wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -35, 2\/5, -58?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.22 and -10?\nAnswer: 38.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 3*p**2 + 3*p - 2. Let j be b(2). Suppose d + 0 = 2. Suppose -4*f + 4*i + 296 = j, d*i - 4*i - 69 = -f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 207013806*l**2 + 97090978?\nAnswer: 414027612*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*a + 118 = -175, -4*a - 294 = -k. Let z = -135 + k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8*m + 24. Let k be (10\/m)\/(2\/6). Suppose -1 = 2*j - 3. Solve -11 + j = -k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + s**5 + 0*s**2 + 2*s**5 + 2 - 2 + (-s**4 + 2*s**4 - 3*s**4)*(-3*s + s + 4*s) + (-473*s**3 - 4*s**4 + 473*s**3)*(4*s + 8*s - 4*s).\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133210386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 - 4\/9*g**3 + 4*g - 12*g**2 + 1\/360*g**6 - 1\/30*g**5 + 1\/6*g**4. What is c in p(c) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(190)*1 - (sqrt(190) - ((sqrt(190) + (sqrt(190)*2 - sqrt(190)))*1 + sqrt(190))))\/(sqrt(640)*-4*6))**2.\nAnswer: 19\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3\/7 + 24436*k**2\/7 + 5798048*k + 2920384880 = 0. What is k?\nAnswer: -3785, -1162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899130?\nAnswer: 2, 5, 189913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Suppose 0 = m - 0*m - o. What is the derivative of m*d**2 - 5*d**2 + 3*d**2 - 1 + 0*d**2 wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 3*m + 6. Let j be c(-5). Let o be -3 + 7 - (0 + (-3 - -3)). Suppose 0 = o*z - 10 - 2. What is the third biggest value in 0.2, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3317*i**2*z - 4*i*z + i + 58 wrt i?\nAnswer: 6634*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, v: 2}. Give prob of sequence vvoo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajwbowwfwbbow. Give prob of sequence jo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 484758780 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5137, -0.1, -5 in decreasing order.\nAnswer: 5137, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(125) - 1*(sqrt(125) + sqrt(125) + -2*sqrt(125)) - sqrt(125) - -1*sqrt(125)*1)**2.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9059625.7 - -0.328?\nAnswer: -9059625.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/6)\/j*j*j**14*j*j**(-2\/5)\/(j**(-1\/5)\/j))**(-2\/7) assuming j is positive.\nAnswer: j**(-449\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*d - 409*d + 174*d + 502*d.\nAnswer: 923*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 4 + 4)*(-486*b + 261*b + 703*b) to n + i*b**2 + o*b and give i.\nAnswer: -1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 27 = 62. Suppose 0 = x + n - 56 - 115, -v*x + 4*n = -882. What is the remainder when x is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)\/(4\/(-26)). Suppose 3 = -3*q, 2*q + 2*q + j = w. Calculate the remainder when (-258)\/(-10) - 28\/(-140) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbbntbggbbtgtttgh. Give prob of picking 1 h and 2 g.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 394 - 132. Let d = -243 + n. Let s = -48 - -68. Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/60 + 5*g**4\/24 + g**3 + g**2\/2 - g. Let f(v) be the first derivative of a(v). Let x = 1286 + -1291. Determine f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let f = 26 + -22. Calculate the remainder when f is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.89368689 and -0.5.\nAnswer: 3.446843445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-18 - (-32 - -13) - (2 + 42))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Suppose 4 = 2*k - 20. Let b be 1 - (-8)\/k*3. Is b less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(81) - (-4*sqrt(6)\/sqrt(2) + sqrt(3)))**2.\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(24)\/(sqrt(6)\/sqrt(2)) + sqrt(8)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 3710, -6, -2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -6. Let l = 0 - q. What is the units digit of 6*1 - (-9 + l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3257*y**3 - 6348*y**3 + 3089*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1)*1 - ((0 + sqrt(13))**2 + 4)) + sqrt(39)\/(sqrt(27)\/(sqrt(27)\/sqrt(3))).\nAnswer: -18 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -84*b**3 + 24*b. Let n(j) = -17*j**3 + 5*j. Let c(x) = x**2 + 87*x - 6293. Let p be c(47). What is p*m(t) - 24*n(t)?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27610306 and 1198?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2299?\nAnswer: 5\/2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47 and -131.\nAnswer: -6157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 235567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27515988 and 48744?\nAnswer: 55031976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**7\/42 - c**6\/12 + 7*c**5\/12 - 5*c**4\/6 - 45*c**2 + 10*c. What is s in p(s) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-35 - (-45 + 24 - -24))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -5*m + 4*c - 1051, 5221 = 5*m + 3*c. What is the least common multiple of m and 35?\nAnswer: 5215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/11 - 2*k**3\/11 - 9*k**2\/11 + 2*k\/11 + 8\/11 = 0. Calculate k.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3164 divided by 3.\nAnswer: 3164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1304 + 482. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58462, 116925, 175388?\nAnswer: 233851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 1\/3*p**3 + 2*p - 2 + 1\/2*p**2. Let t be -21 - (12 - 270\/9). Determine w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -677, 4, -5, 0, 12 in decreasing order.\nAnswer: 12, 4, 0, -5, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 0.128722?\nAnswer: -23.871278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/102 and 43\/19533.\nAnswer: 39066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 313, 214, 23, -290?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*i - 3, 3*i + 87*n + 3 = 92*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) 0.7 (b) 0.2 (c) -0.4 (d) 0.51 (e) 13.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -86*u + 18225. Determine l(188).\nAnswer: 2057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8459, 8455, 8451?\n\"Answer: -4*w + 8463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -668\/7, -978?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -12. Solve -5*t = -4*u - 25, -5*u = -o*u + t + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2 - -3) + 2 + 103 + -69?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 2\/29, 66, 2\/7, 3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*l**3 + 971*l**3 + 424*l - 1 - 424*l as d*l**3 + c*l**2 + o + m*l and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9707071.\nAnswer: 11, 882461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.97 - -39.97. Let l = 38.7 - n. Sort l, 0.1, -5, 3.\nAnswer: -5, l, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*w - 1120*w - 1223*w as n*w + h and give n.\nAnswer: -2077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-16\/7)\/i*i*i**(8\/5)\/i)**(-6\/13) assuming i is positive.\nAnswer: i**(354\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g - 2. Let v(o) = 14*o**2 + 20*o + 20. Let j(p) = -v(p) - 10*w(p). Let b(z) = 23*z. Determine b(j(a)).\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - p + 43*p)*(-9 + 0 - 4 + 6 - 16).\nAnswer: -874*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 33516.\nAnswer: 33516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/17 - 1046*y**2\/17 - 2100*y\/17 = 0. Calculate y.\nAnswer: -2, 0, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/24 + -2)\/(6\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6895880491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*b + 54*b - 87*b)*(-3*b + 5*b - b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3310\/119 - 468\/17. Let s = 215\/6 - 36. What is the closest to x in -2\/19, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Let g = u + -10. Let w = g + 1.6. Which is the second smallest value? (a) w (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42056 divided by 98\nAnswer: 3004\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25 + -20 + -1*4. Let a be -6 - -3 - -84*r. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**3 + 8*p**3 - 15*p + 3*p - 16*p**3 + 7. Let b = 39 - 33. What are the prime factors of o(b)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1261, -5052, -11421, -20410, -32061, -46416, -63517?\nAnswer: -83406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-76)*(-8)\/3. Let k = r + -419\/285. Let l = -668\/5 + 134. Sort -2\/19, l, k.\nAnswer: k, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2305.11717ms?\nAnswer: 0.000026679596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 552*z**3 + z**3 - 93*z**3 + 16*z**3 - 198*z**3.\nAnswer: -826*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d583 - 1bb2?\nAnswer: -31355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1431 + -991. Let l = h - 414.9. Let q = 24.576 - l. What is q rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6745\/(-71) - -87) + 0 + 1 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2456, -3201, -3092, -1703, 1392, 6619, 14404?\nAnswer: 25173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (3\/(-8))\/((-3)\/(-68)). Let y(u) be the first derivative of 0*u**3 + 1 - 5\/4*u**4 - 10*u + l*u**2. Let y(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 42, -3 in ascending order.\nAnswer: -3, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -110744*d + 110744*d + 2 - d**2. Give h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 - 1 + 3 - 4 + (1 + 4 - 1)*(1 - 1 - 2))*(5 - 5 - 2*y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose -148 = -3*v + 4*b, -253 = -j*v + 4*b - 17. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-8))\/(3 - 10865\/3620).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c**3 - 22*c**2 - 19*c + 3. Give u(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -39913a34?\nAnswer: -39913a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, -0.0349, 59?\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 6, r: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50978913 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 8*h + 2. Give m(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**3*u**3 - 11443*j**3*u + 713*j*u**3 - 6*j wrt j?\nAnswer: 18*j*u**3 - 68658*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, 2.\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323*v - 34 - 37 + 68)*(-2*v**2 + 0*v + 0*v).\nAnswer: 646*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4 - 23 + 30 - 1 + 89*c. Let t(k) = -12*k**2. Give a(t(r)).\nAnswer: -1068*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:08 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/11)*h)\/h**(-2\/7)*h*h**(2\/31)*h*h**(7\/4) assuming h is positive.\nAnswer: h**(47829\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 304295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251 + -251.39. Which is the nearest to v? (a) -0.5 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**7\/2520 - n**6\/240 - n**4\/4 + 2*n. Let s(c) be the third derivative of y(c). Find the second derivative of s(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d = 33*d + 36*r - 60, -d - 3*r = -2*d - 4*d - 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 158, 244, 328, 410, 490, 568?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1172131 and 3031?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39167 + -8395. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((5 - 5) + -5 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 c when four letters picked without replacement from {g: 3, c: 1, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9042 + -9950. Do -906 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 2:15 PM?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79195*m**4*u**2 + 9*m**4 - 2*m**2*u**2 + 29*m**2 - 2*m*u**2 + 23*u**2 - 78*u wrt m.\nAnswer: 1900680*m*u**2 + 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:29 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/79 (b) 6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3\/5 + 60236*o**2 - 28275196*o\/5 - 5715276 = 0. What is o?\nAnswer: -1, 95, 75201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t + 44 - 4*t - 27. Let s be b(5). Differentiate -139*u**3 + 16 + 9 + s*u**3 + 76*u**3 with respect to u.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 17*q - 2. Let v be g(-15). Suppose -2*s - 5*t = 461, -4*t - v = -8. Does 15 divide 10\/50 + s\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 87631668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*a + 21580298 - 21567872 = 0 for a.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -2535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -43155*b**2. Let q(o) = -o. What is q(m(f))?\nAnswer: 43155*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5\/5 - 108*q**4\/5 - 216*q**3\/5 + 5168*q**2\/5 + 1056*q = 0.\nAnswer: -22, -10, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324796406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 469 and 6499997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 - 4 = 0. Let o = 82 + -48. Let l = -34.14 + o. Are u and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*u = -7, -3*m + 0*u + 17 = -2*u. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 261*g\/8 - 1215\/4.\nAnswer: -3*(g + 30)*(2*g + 27)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13489909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-21) + -1 + (-528)\/462.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5254?\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttphpppdhhpltdpphl. What is prob of picking 1 p and 1 t?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 8, e: 10, q: 1}.\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*m - 39 = -r, 6 = 2*m. Let -r*h**2 - 31 - 27 + 2*h + 58 = 0. Calculate h.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 48, 121, 250, 453, 748, 1153?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041552473 rounded to 6 dps?\nAnswer: -0.000416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {w: 5, j: 1, q: 5, b: 7, n: 1}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/16)\/((-18306)\/56952)*(-5)\/((-1785)\/27).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 - 5*h**2 + 12*h - 3. Let f(l) = -2*l**3 + 4*l**2 - 13*l + 2. Determine -3*f(w) - 2*i(w).\nAnswer: 14*w**3 - 2*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.277367 - 0.077367. Let b = -0.06 + 0.46. Let v = 17 - 12. Sort b, v, l, -12 in decreasing order.\nAnswer: v, b, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o - 9. Let y(i) = -363*i - 14. Is y(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 7*y**2 - 4. Let p be (-2)\/(-7) - (-4465)\/665. Let w(l) = -5*l + 5*l + l**3 - 6*l**2 + 2 + 2*l**2. What is p*w(j) + 4*s(j)?\nAnswer: 3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 16. What is x(14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/5 + 8872*o**2 = 0 for o.\nAnswer: 0, 22180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 236 = 4*o, u - 5*u + 16 = 0. Let q = o + -11. Let n = 8 - q. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 3*d - 3 + 0*d**2 + 1\/3*d**3. Differentiate n(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 115292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 + 189*p + 286. What is y(33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*z**3 + 0 - 2*z**2 + 226*z**3 - 3*z - 677*z**3 + 221*z**3 - 3 to the form c*z + f*z**2 + g + o*z**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = 0. Let c = 22 - z. Suppose 0*p + 2*n = p - c, n - 1 = 0. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2, -4, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76985834*s**3 - 29*s**2 - 331341*s wrt s?\nAnswer: 461915004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, 36, 755 in decreasing order.\nAnswer: 755, 203, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12326061.9 rounded to the nearest 10000?\nAnswer: -12330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221021122101 (base 3) to base 12.\nAnswer: 1bbba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 53. What is y(11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186662 divided by -2786.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 4.8?\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -686 - -693. Solve 10 + 4 = -q*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbllhlrshrhrshhhhhh. Give prob of picking 1 r and 2 s.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + -1.5. Let i = 1\/15 + 8\/105. Let d = -7.06 + 6.76. Which is the closest to i? (a) f (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14 = 258. Suppose -750 = 11*r + 14*r. Let o = p + r. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvxvxhxkxvkxkxkh. What is prob of sequence hhk?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37347842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*((-3)\/3)\/1. Let k be (-10)\/t - 2\/4. Factor -4\/7*y**k + 2\/7*y - 4\/7*y**3 + 2\/7 + 2\/7*y**5 + 2\/7*y**4.\nAnswer: 2*(y - 1)**2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d. Let m be c(-2). Suppose 2*n = 6*n - 4*l - 32, -n - l + m = 0. Let a be 232\/20 + 4\/n. What is the highest common factor of a and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d1a6 + 14?\nAnswer: 1d1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.37 + 0.4. Let l = n + 13.97. Let b = -13.9999991 + l. What is b rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723972869 to the power of 1\/2, to the nearest integer?\nAnswer: 41521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2459 is divided by 267?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -92, -95, -98?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 2*g - 2*g)*(-26 - 26 + 74) + 823 - 823 - 243*g as z + n*g and give n.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 9. Let v = -11 + 17. What is the remainder when s is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 2*n + 2*n + 129 + n.\nAnswer: n + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + ((1 + sqrt(320))*-1 - 6*-2*sqrt(320)))**2 + -5.\nAnswer: 176*sqrt(5) + 38714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*k + 19109 - 3603 = -s - 147*k, -5*s + 186 = -3*s - 5*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10201 - -2302401?\nAnswer: 2242200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 132258 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1\/3, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**7\/56 + i**6\/20 - 3*i**5\/40 - i**4\/2 - 7*i**3\/8 - 3*i**2\/4 + 10*i. Factor t(s).\nAnswer: 3*(s - 2)*(s + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26424838.\nAnswer: 2, 11, 23, 52223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 4*g + 2. Let t be v(-2). Suppose -y - 64 = -t*j + 3*y, -5*y - 155 = -5*j. 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 477089619 to the power of 1\/3, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/8906653 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73.9 bigger than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -145\/4, 9\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22 and -486.\nAnswer: -486.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/2*(2 - 3). Suppose r = x + 3*x. Calculate the least common multiple of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 2 = 0. Let u(b) = -2 + 6 - 5 + 5*b + 0. Let y be u(s). Solve w - 13 = -y*l, 2*l - 2 = 2*w + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137709 by -18.\nAnswer: -15301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 6) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/9, -2.6, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let j be l(2). Let p(g) = -2402*g - 2. Let i be p(j). What is i rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269754 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.96 + 0.04. Let j = -16\/6005 + -77937\/48040. Which is the nearest to 0.1? (a) -0.1 (b) h (c) j (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 11*g + 14. Let a be f(-10). Let b be ((-3)\/a)\/(3\/2). Let r = -0.4 + 0.2. Put -3\/4, r, b in ascending order.\nAnswer: -3\/4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 9*j = 132. Suppose 3*n + 2*n = 3*l - 5000, -5*l = -n - 1000. Does 13 divide n\/j + 6\/(-45)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 18*b**5 + 6*b**5 + b**5 - b**5 + 2*b**5 + 4*b**5 - 4*b**5 + 2*b**5 + (-2*b**3 - 3 + 3)*(-2*b**2 + 2*b - 2*b).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100011000100000000011 (base 2) to base 12.\nAnswer: 1958197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 87, 365.\nAnswer: 2, 87, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6378567114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 8*d. Let g(o) be the first derivative of -o**4\/4 + 10*o**3\/3 + 7*o**2 - 25*o - 3. Let u be g(11). What is q(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/34151 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (-6 - (-16 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 913414*d**2 - 10960968*d - 3. Calculate m(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-364)*16 - 310\/1085\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (3 - 11\/3)\/(4\/(-42))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55585 + -25084. Find the third derivative of 30501*a - 28*a**2 - q*a + 173*a**3 wrt a.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -40*a - 110. Let v be m(-12). Calculate the greatest common divisor of 80 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(4 - 3 - 4)*(-8*c - c + c) - c + 4*c - c.\nAnswer: 122*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 - 7. Let y be c(6). Suppose 5*g - y = -25. Let d(u) = 6*u + 11. Let n(w) = -2*w - 4. Determine g*n(x) + 3*d(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -490 less than -199530245.23?\nAnswer: -199529755.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468205283.\nAnswer: 7, 13, 73, 70481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let j(z) be the first derivative of 453*z**2 + 4172. Determine s(j(c)).\nAnswer: 1812*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(4773\/(-1935))\/37.\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2 - 10*x - 5. Let n(q) = -98*q + 499. Let p be n(5). Calculate h(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1090.\nAnswer: 5450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8951.\nAnswer: 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -120, -251, -548, -1065, -1856, -2975?\nAnswer: -4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -169536, -169473, -169370, -169227, -169044, -168821?\n\"Answer: 20*z**2 + 3*z - 169559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*x + 62*x + 2*x**3 + 6 + (-4*x + 4*x - 2*x**2)*(-3*x + 4*x + 0*x) - 3*x - 2*x**3 + 3*x in the form l*x**3 + n*x + b*x**2 + d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 39*d**4 + 35*d**3 - 29*d**3 + d**2. Let m(v) = 8*v**4 + v**3. Let x(l) = -24*m(l) + 5*r(l). Find p such that x(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -52415 and -157244\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 1381 + 23*u + u**2 - 1398. What is the hundreds digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 272. Let o(n) = 3*n - 270. What is -6*g(h) - 7*o(h)?\nAnswer: -3*h + 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185646*b**2 + 0*b + 78067*b**2 + 0*b - 64800*b**2.\nAnswer: 198913*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214133856 divided by 8.\nAnswer: -26766732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 231, 205, 165, 111, 43?\n\"Answer: -7*o**2 - 5*o + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 21*o - 23*o = 158, 4*i - o - 319 = 0. What is the remainder when i is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 869, 842, 821, 806?\n\"Answer: 3*w**2 - 36*w + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 434103?\nAnswer: 6945648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7357?\nAnswer: 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2327656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 30 = -j, 2*j - 4 = h - 0. Let t(v) = -789*v**2 - 75*v - 4. Let m be t(h). Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -270.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 6*q**2 - 5*q. Let x be w(5). Suppose 9*s - 32*s + 1104 = x. What is the remainder when 333 is divided by s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14949766, -29899525, -44849298, -59799091, -74748910, -89698761?\nAnswer: -104648650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 127, 318, 601, 976, 1443?\n\"Answer: 46*w**2 - 39*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 1. Let f(z) = -2*z + 2. Calculate 2*f(a) - 3*g(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.2. What is the closest to 0 in -2, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 285273*d + 285269*d - 52, d = 4*r - 46 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-672)\/(-36))\/((-4)\/(-174))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 10828*i**3 - 2382098*i**2 + 171588576516*i + 251119390482009.\nAnswer: (i - 7521)**2*(i + 2107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + -1)*1 + (sqrt(704) + (sqrt(704) - 1*-2*sqrt(704)) - sqrt(704)) + (0 + sqrt(704))*-6 + -1)**2.\nAnswer: 64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + f - 6 - 25, -3*o + 16 = -2*f. Suppose 0 = o*r + 25 - 19. Put r, 4, 8 in descending order.\nAnswer: 8, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170 - -233. What is the remainder when 1760 is divided by o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - (0 - -18)) + -31 + 35\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 11. Let r = l + 62. Let m be r\/6*(-18)\/(-4). Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/35602563 and -14\/1191.\nAnswer: 35602563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 31 + (163 - (159 + -18))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17848199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1986309344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*n + 178 = -25, 2*c - 5*n - 419 = 0. Suppose 13*t - 12*t = c. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28368 = 42*v + 27780 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/70)\/(4036\/7063)*(-8)\/(64\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 10. Let u be (x - 2)*(-5)\/10. Are 2\/21 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*q + 6*q = 96, 5*z - 2*q = 106. Solve -z*p = -24*p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8308275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**6 - 363385*k**5 + 827*k**2 + 2*k - 3457 wrt k?\nAnswer: -480*k**3 - 21803100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 24, 4, -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -31*m**2\/2 + 5*m + 3. Let q be (-3 + (-39)\/(-15))*5. What is the units digit of n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 733, 1061, 1351, 1591, 1769?\nAnswer: 1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518*m + 1523*m - 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*b - 36*b - 239514 = -250732 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 7*d)*(-3 + 0 + 1)*(8 - 4 + 0).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10 = -5*l, -5*d + 4*d - 8 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/1 - (-78)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 427327, 427122, 426917?\n\"Answer: -205*d + 427532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*d**2 + 18*d - 18*d.\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 40781301?\nAnswer: 3344066682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:08 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 0*u**3 + 14*u + 5*u**3 + 4*u.\nAnswer: 2*u**3 + 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/432 and 1\/1056?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, -u + 0 = 4*j - 1. Suppose -3*m = u - 7. Solve 0*p + 2*p + m = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjjjjzzjj. Give prob of sequence zz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 - 142*p**2 + 37*p + 120. Let q(n) = -n**3 + 35*n**2 - 9*n - 30. Let j(b) = 9*q(b) + 2*s(b). Is 17 a factor of j(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:50 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -947, 2, -2\/3, -4 in ascending order.\nAnswer: -947, -4, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -63*k + 1165. Give j(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -43. Let h be ((-6)\/m)\/((-2)\/(-30)). Let a(b) = b**2 - 5*b. What is a(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let d(l) = -17262*l**2. What is d(b(i))?\nAnswer: -69048*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2*r + 9*r - 22*r)*(0 + 2*r + 0).\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*t + 74 - 582, -493 = -4*i - t. Suppose 1126 = 126*y - i*y. What are the prime factors of y?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1801 + -1010. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m - 40*m**2 + 38*m - 43*m in the form u + g*m**2 + o*m and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 22*b**2 - 23*b + 1. Let z be g(-23). Let j be ((-16)\/6 - -3)\/(z\/36). What is the tens digit of 3\/j + (-307)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 19*k - 34. Calculate h(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 421.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 19\/(-12) + (4841\/141 - 34)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162390155344 less than 0.5?\nAnswer: -162390155343.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f = -51*f. Let h(l) = -l**3 + l + 2. Let s be h(0). Let k = s - 0. Solve 6 = k*b - f*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7118 - 7118 + 4*f. Let n(o) = 38*o. Give n(x(z)).\nAnswer: 152*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**2*r**5 - 13*l**2*r**2 - 639*r**6 + 183*r**2 wrt r.\nAnswer: 660*l**2*r**2 - 76680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -211103?\nAnswer: 211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41753312 or -41753309?\nAnswer: -41753309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*v = -6, -10 = 5*t + v + 4*v. Suppose 0*m + m - 264 = -4*k, t = k + 3*m - 77. What is the greatest common factor of k and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 6:18 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.066 and -883?\nAnswer: 1824.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - -2) + -14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118154 is divided by 500?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912285 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 48869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -123962.4164 to the nearest one thousand.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/3 (c) -5 (d) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnjdjjsjdd. Give prob of sequence jn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from ggggggdgggggg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3 = -5*z - 12 - 11, 7*t = 3*t + 2*z + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 660043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -54. Let t be -2 + (-34)\/(-5) - n. Factor 2\/5*z**3 + t*z**2 - 4\/5 - 2\/5*z.\nAnswer: 2*(z - 1)*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 - 136. Let c be 135\/36*6\/p. Put 5, 0.3, c in ascending order.\nAnswer: 0.3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f)\/f*(f*f*f*f**(-19)*f)\/f assuming f is positive.\nAnswer: f**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 172*v**4 + 28030*v**3 + 186846*v**2 - 6552*v = 0.\nAnswer: -156, -7, 0, 3\/86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.6. Sort 0.12, g, -3 in ascending order.\nAnswer: -3, 0.12, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 30 - 23 + 4*x in the form s + f*x and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529598 is divided by 108.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = k + 11, -5*v + 2*k = 6 - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - -7) + -21 - -6) + (19 - 6) + -99?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77611 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 39 = -3*v + 5*w, 1587*v = 1591*v + 3*w + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:34 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 2. What is the second derivative of -2*o**c - o**2 - o + 0*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)\/(a\/a**7)*(a*a*a**(-8))**(-32) assuming a is positive.\nAnswer: a**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2, 18, -8, -0.5, -1.\nAnswer: -8, -2, -1, -0.5, -1\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/28*(-2 - 56\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3173536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 5 = 10*z. Is (z\/(-2) - 0)*(-207 - -1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252835*i**4 - 401*i**2 + 55*i?\nAnswer: 6068040*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*v + 24, -5*v + 0*z + z = -48. Let f be (-2)\/v - 660\/(-54). Suppose 0 = 2*r + r - f, y = 5*r - 10. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukkk when four letters picked without replacement from rrrutruuktuturrrrtrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*r**2 + 353*h*r + 22*h + 860595*r**2 + 16*r wrt r?\nAnswer: -6*h + 1721190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 27, 306, 0.1.\nAnswer: -3\/5, 0.1, 27, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 11010001?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 - 33*g**2 + 66*g - 15. What is d(9)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 378*p**2\/13 - 1538*p\/13 + 8.\nAnswer: 2*(p - 4)*(189*p - 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2880)\/150*495\/(-88). Determine f so that -m*f**2 + 324*f - 324 + 15*f**3 - 3\/4*f**4 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645093 is divided by 19548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = -2*s, -12 = -0*s + 4*s - 2*a. Let v = -10 + 7. Let u be (-1 - v\/6)*-6. Sort s, 0, u in ascending order.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10418 and 10.\nAnswer: 52090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24087, 96437, 217019, 385833, 602879, 868157?\nAnswer: 1181667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428083.\nAnswer: 428083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4779\/(-6)*16\/3. Let s = c - -46682\/11. Calculate the common denominator of s and (-2)\/3 + (-1628)\/(-165).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - -14) + (-70 - -73) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13429*o + 590908. Give y(-44).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 1777*r**3 - 1415*r**3 - 532*r**3 + 0*r.\nAnswer: -170*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 - 3 = 0. Let j be y\/9 - 3\/9. Calculate the remainder when 70 is divided by 9*(-1 + (j - -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 31*z**3 + 4*z**2 - 824*z - 2519. Calculate t(-3).\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 240 - 83)*(s - s + s + (0*s - 5*s + 3*s)*(-10 - 5 - 5)) to the form d*s + u and give d.\nAnswer: -13571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-5*2*sqrt(228))\/(sqrt(972)*-1) - (-4*sqrt(171)*-2 - sqrt(171))\/(sqrt(81) - (sqrt(81) - (sqrt(81)*-1 + sqrt(81)) - sqrt(81)) - sqrt(9))))**2.\nAnswer: -215*sqrt(19)\/9 + 43231\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = m + 432. Let g = m - -74. Suppose 33 - 15 = g*b. Calculate the smallest common multiple of 61 and b.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and -0.04703.\nAnswer: -2.16338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 11.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2. Let n(j) = 6*j**2 - 20. Let i(z) = 2*z**2 - 6. Let k(g) = 10*i(g) - 3*n(g). Calculate k(f(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12197.67196 less than -199662?\nAnswer: -211859.67196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + (208\/(-520) + 4802\/30)*60.\nAnswer: 3, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1063.\nAnswer: 7441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264127817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 19370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 2*c**2\/3.\nAnswer: c**2*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 4*c + 60 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y**2 + 4*y - 3. Let j be l(1). Let m = 90 - 48. What is the highest common factor of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113.1 - 113.5. Let y be 70\/18 - (4 - 0). Put j, -6, -0.1, y in ascending order.\nAnswer: -6, j, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*i + 7*i - 7*i)*(479*i - 245*i + 331*i)*(-1 + 2 - 2) in the form b + d*i + f*i**2 and give f.\nAnswer: 7910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f + f + 46*f.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(1\/4)\/u))\/u)\/u)**(-3\/10)*u**(2\/113)\/(u\/(u\/u**50)) assuming u is positive.\nAnswer: u**(-225581\/4520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**5 - 38*i + 0*i - 2*i**5 + 2*i**3 wrt i.\nAnswer: 100*i**3 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-413.\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 2 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2. Suppose 5*a + 15 = -0*a. Let b be (-9 - 1)*a\/5. Let f(j) = j - b*j - 6*j. Determine t(f(z)).\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -41 + (-673 - -690).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from pkpr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**38*h**(11\/8)*h**(1\/24)\/h**(2\/11))**(5\/4) assuming h is positive.\nAnswer: h**(25895\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 2133?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221899*y**2 - 443797*y**2 - 2*y + 1155*y**3 + 471*y**3 + 221898*y**2.\nAnswer: 1626*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, 2\/7, 0.1, 0.2, 0.073?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11445)\/(-27) - (-39)\/351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - n + 14 = 0, -5*j - n - 1 = 5. Let k be (-50)\/(3 + 2)*j. Let g(i) = 20*i**2 + k*i**2 - 61*i**2 + 25*i**2 - i - 2. Give g(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 978 - 971. What is the lowest common multiple of -2*(-1 - (0 + 7)) and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5838 - -5841. Solve b*o + 12 = -4*n, o + 4*o = 2*n - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccmmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124371 = -6*p - 17397. Suppose -p = -6*h - h. Let c = h + -927. What is c rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7884 divided by -1971.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23439347, 23439348, 23439349, 23439350, 23439351?\n\"Answer: l + 23439346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 1222712*j**3 - 1246256208*j**2 + 422792520264*j - 47793163904820.\nAnswer: 4*(j - 339)**3*(j + 306695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4774 + 4779. What is the smallest value in c, 1\/3, -3\/4, -2, 52?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*b + 40, 0 = 2*l + b - 16 - 22. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*d + 20*d + 4. Let q(f) be the first derivative of 0*f**d + 0*f**3 - 1\/2*f**4 + 6*f - 4. What is the derivative of q(y) wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/88 (c) -4.2 (d) 10\/7 (e) -2 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 7*i**4\/4 - 10*i**3\/3 + i**2\/2 - 52. Let n(q) = -q**3 + q**2. What is 18*n(f) + 2*u(f)?\nAnswer: -4*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 + 5*m - 10. Let a be i(-7). Suppose a*q + 8 = 6*q. Find the second derivative of 2*j**2 + 0*j**2 + 6*j**q - j - 2*j**2 wrt j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6 = 4*o, -12 = 98*m - 101*m + 3*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than 7348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49424 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -7314.8?\nAnswer: -7314.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdrr when four letters picked without replacement from jrjjrrrdrrtrdrj.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (951 - (-1 + 13)) + -11 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/24 in 2\/3, 13, -4, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 9*z**2 - 14*z + 2. Let t be v(-7). Let h be t - -2*(45\/(-2))\/9. Sort 7, 4, -1, h in descending order.\nAnswer: 7, 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 17*i - 17. Let z be o(-5). Calculate the greatest common divisor of z and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5562825310 to the nearest one million.\nAnswer: 5563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b + 3*l - 44 = 0, b - 2*l - 14 = 0. What is the units digit of 1\/((-548)\/(-132) + -4)*b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 79839*a**5\/5 - 1217112*a**4 + 116640024*a**3\/5 - 25698336*a**2\/5 + 17328*a\/5 = 0. Calculate a.\nAnswer: 0, 2\/2957, 2\/9, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + -1*sqrt(68))))) + sqrt(68))\/sqrt(4).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhgnyngpyy. What is prob of sequence hpgg?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2033*a + 2027*a = -b - 121, 0 = 5*a - 0 - 15 for b.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*x - 622*x + 168 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43945945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1485 - -7922. Let h = i + -11137. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*((-4)\/4)\/(-2)*(-61)\/(-2013)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 171 + 236*z - 344 + 172 - z + 3*z + 0*z + (-1 - 2 + 1)*(2*z + 2*z - 6*z) + 4*z - 2*z - z - 1 + 1 - 2*z - 4*z + 3*z + 0*z.\nAnswer: 240*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q - 9 = u, 0 = -2*u + q + 10. Suppose -11 = 2*t - 5*t - 5*k, -u = t + 3*k. What is the lowest common multiple of t and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 2 (b) -0.15 (c) 105 (d) 6\/5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d + 4. Suppose -g + 0*g - 1 = 0. Let z be (20\/12 + g)*3. What is the units digit of l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -1284.5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 8. Calculate the remainder when 33 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33212222 (base 4) in base 12?\nAnswer: 30ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 925335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10782371, -21564740, -32347109, -43129478, -53911847?\nAnswer: -64694216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 12*f**2 - 38*f + 55. Let n be o(15). Suppose -n*g + 169*g - 135 = 0. Solve 2*r = -g + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 3*k. Let t(c) = -9*c**2 - 13*c. Let b(g) = -6*t(g) - 26*v(g). Let a(f) = f**2 - 5 + 5. What is a(b(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7400164726.00000014 - 7400164787. Let l = k + 61. Round l to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4917.865kg in micrograms?\nAnswer: 4917865000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, a: 3}. What is prob of picking 2 n?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 13, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 6. Let i be x(5). Solve -5*d = -31 + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-14))\/(6\/21). Solve -b*k = -3*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33670\/15*(4 + 116). Suppose 32*d - 6*d - h = 0. What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*g + 0*g**3 + 5*g**3 + 2 - 37*g + g**3 to the form n*g**3 + k*g + u*g**2 + x and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q - 1, -3*x = 2*q - 18. Solve 0*a = x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + k**3 - k**3)*(4 - 9 - 7) + (0 + 1 + 1)*(k**2 - 5*k**2 + 3*k**2)*(-k + 1 - 1) to the form p*k**2 + o*k**3 + z*k + l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 11004.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -119, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 3. Let b(t) = -4*t**2 + 5. Let r(x) = 3*b(x) - 5*y(x). Let m(j) be the first derivative of -2*j**3 - 1. What is r(m(u))?\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322388 = 12*d - 6*d + 92642. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -78*s**2 + 35283*s + 23063. What is w(453)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - 4. Let p = -3.55 - -3.95. What is the third biggest value in -1\/9, 1, x, p?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185\/183 or 1?\nAnswer: 185\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 2*c. Let m be 18 - (0 + 1)*(7 + -7). Suppose -3*d - 3*d = -m. Solve -5*l + 0 = -3*f + 29, -2*f - d*l - c = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1827725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = 28 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770 = -50*h + 45*h. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccccccfcfccfcccffc. Give prob of sequence ccfc.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 2*q**3 - 3*q**2 - 8*q**2 + q + 13. Let a be (363\/44)\/(33\/(-44)). Let x be n(a). Solve 6*h = h + d - x, 6 = 2*h + 3*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 51. Let u = -2.1 + s. Let a = 89\/249 + -2\/83. Put -4, u, a in ascending order.\nAnswer: -4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 62*g + 717. Suppose -5*b - a = -97, -83 = -4*b + a - 0*a. Calculate the remainder when m(-9) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 12*o**2 - 12*o + 8. Suppose -6*k = -k - 50. What is the remainder when f(-11) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 149 + 1?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38407 and 223676.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -76, 3 in increasing order.\nAnswer: -76, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*c = 2*i - 283*c - 5, 3*i - 5*c - 27 = 0. Solve i*p - 8 = -2*z, 5*p + 0*z + 2*z - 11 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.2? (a) 232 (b) 31 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 636*((-20)\/(-65))\/(-4). Let f = -10865\/208 - q. What is the common denominator of -83\/60 and f?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-1*6\/(-4)). Let d = 404 - 400. Suppose d*x - 18 = r. Solve 3*m - 9 = -5*p, 0*m + x = 3*m + 4*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1\/2)\/((-54)\/(-108)). Calculate the remainder when (43 + -99)*(u + (-10)\/14) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 1.06. Let p = 6.875 + -7. Let z = p + -0.275. Put z, y, 2, -7 in ascending order.\nAnswer: -7, z, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwoozjlzzoqo. Give prob of picking 1 l and 2 o.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 3*y**2 + y + 1. Let r = 13 - 14. Let x be a(r). What is the remainder when 41 is divided by ((72\/10)\/4)\/(x\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 8593 = -46959 - 59384. Calculate the remainder when s is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -378?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 6*g = -9*g - 374928. What are the prime factors of g?\nAnswer: 2, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0848 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1534.8000085876 + 1534.8. Round y to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0407 - 1.0407. What is the biggest value in 12, 2\/3, d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13676, 13675, 13676, 13679, 13684?\n\"Answer: r**2 - 4*r + 13679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 12:34 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -40*t - 10. Let p be m(-5). Suppose 2*o = -3*f + p, 4*o - 314 = -7*f + 2*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: Rearrange 107 - 53 - 2*b**3 - 2*b**2 - 54 to x*b**2 + q + i*b + n*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjx when three letters picked without replacement from wwjxwuwjjxxwl?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x + 257. Let i be m(28). Suppose 39*r = i*r + 4080. Is 34 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**11\/(i**(-1)\/i)**(-2\/19)*((i**(1\/8))**(-5))**(-4\/5) assuming i is positive.\nAnswer: i**(11\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/4 + 3\/12. Suppose 5*f + j = -r + 47, f + 3*r - 4 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -7*f**4\/24 + 28*f**2. Let s(o) = 8*o. Determine s(g(l)).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -6. Suppose -3*a + 137 = -5*y, -12 = g*y - 4*y. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*d)*(7*d**3 - d**3 + d**3).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 - 2*m + 2. Let v be r(-3). Suppose -4*x + 66 - v = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 13*g**5\/15 - g**2 + 15*g. Let w(r) = 2*r**2. Determine w(y(d)).\nAnswer: 5408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 150.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.924 to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*u = 25, 0*d - u = 3*d - 15. Suppose 0 = 4*b - 6 - 6. Let z = 3 - b. Sort 3, z, d in descending order.\nAnswer: d, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 + 4*k**3 + 2*k - 289. Give y(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -63*g + 7140. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from qqqqqqsssssqss?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.99 + -0.01. Let t = -0.33 + -0.08. Let j = -0.01 - t. Which is the nearest to -1? (a) v (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*n**2 + 76\/17*n + 722\/17.\nAnswer: 2*(n + 19)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/8)\/(49\/70 - 25\/125)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 106*k + 1999. Give n(17).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1\/15*h**5 + 0*h**3 + 1\/12*h**4 + 0*h - 4*h**2 + 0. What is the second derivative of i(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + 3*q + 2. Let k be (-1)\/(1*(-1)\/(-2)). Let s be x(k). Is 7 a factor of (-355)\/s - (-3)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: b\"What is the sth term of -914, 1108, 3120, 5116, 7090, 9036?\n\"Answer: -s**3 + s**2 + 2026*s - 2940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*y - 92, -y - 5*x = -2*y - 8. Let l = -25 - y. Find the second derivative of 3 - 6*d - l - 16*d**2 wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299796 by -166.\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.05704042 rounded to three decimal places?\nAnswer: 20.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 5. Let n be o(0). Suppose -j + n*c + 3 = -6, -20 = -5*c. What is the remainder when 84 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 9*g**2 - 10*g + 14. Let r be v(-10). Suppose -i + 9004 = 5*f, -i = -f + r + 1588. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 170 + -175 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 164\/24) + -6 + 11. Let g = -1342\/17 - -79. What is the biggest value in 4, d, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 + 74944*l**3\/3 - 299712*l**2 + 3596288*l\/3 - 4794880\/3.\nAnswer: -2*(l - 37460)*(l - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*d**2*f**3 + 1764*c**3*d**2*f + 2*c**3*d*f**3 + 282*c**3*d*f - 2*c**3*d + 2*c**2*f + c**2 wrt d.\nAnswer: -2*c**3*f**3 + 3528*c**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 9a7399?\nAnswer: -9a73a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425))**2 + sqrt(17) + sqrt(51)\/sqrt(3)*-2 + 2 + -4 + (sqrt(51)\/sqrt(3)*1 - (sqrt(187) - (sqrt(187)*2 + sqrt(187)))\/sqrt(11))**2.\nAnswer: 19*sqrt(17) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 9.997. Let y = 1 - 1. Let g = o + y. Round g to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -135.3 from -13450588.\nAnswer: -13450452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -33430?\nAnswer: 33432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251 - -148. Let p be 14\/49 - o\/7. List the prime factors of (p\/(-20))\/(2\/(-40)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 7:33 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 703 = -5*o - 10228, -4*y + 7629 = -o. Suppose 0 = w + q - y, -4*w + q = 2*q - 7647. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -17 - 4 - -11) + (1 - -10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**6\/24 + 5*q**3\/6 - 5*q**2\/2 + 2*q. Let s(u) be the first derivative of m(u). Differentiate s(h) with respect to h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 7500*j**2 - 6300*j + 1323 = 0.\nAnswer: 21\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.01265322 - -3195.\nAnswer: 3174.98734678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*o + 99 = 4*b, -2*b = -2*o - 48. Solve -b*w - 44 = -17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 9) to base 12.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17.54. Let q = -0.04 + g. What is the second smallest value in 3, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131875, 263746, 395617, 527488?\nAnswer: 659359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472e4 (base 15) to base 3.\nAnswer: 102112002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197790 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 times -0.6512?\nAnswer: 900.6096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 0 = -5*y. Let a(h) = -h**2 - 13*h - 11. Let j be a(y). Solve 3*s = 3*q + 8*s - 27, q = -5*s + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 0 - -22 - (-2 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 48. Suppose -s + 6 = p*q - 15, 5*q - 30 = -2*s. Suppose -q*o + 1580 - 608 = 0. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c8 - -b?\nAnswer: -1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 - 4*l**2 + 2*l - 5. Let s be t(-8). Suppose 0*a - 7 = -a + 2*k, -5*a - s*k = -59. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:07 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/234*3*2\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2235597)\/253428)\/(13\/4).\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(6 + (21 - 12)). What is the fourth smallest value in j, 5, -0.01, -4, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from wlllwlwwllwwwl?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24.3 (b) -2 (c) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -40. Suppose -n*q + 2*q - 33 = -d, 3*d + 4*q - 34 = 0. What is the remainder when 88 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15066 and 347571.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -326 or 0.078?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/5 - 4)\/(2\/(-10)). Let y = g - 4. Let d be -2*(-2 - (2 - 3)). Solve -2*s - d = -2*h, s + h = 4*s - y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 26, 71, 144, 251?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 4. Let l be h(11). Suppose -l + 8 = -3*z. Let t(q) = q - 8. Give t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 20*v + 25*v + 166 = 531, -17*v - 345 = -22*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3)*v*v\/(v\/(v**(-2\/15)\/v*v)))**(-8\/7) assuming v is positive.\nAnswer: v**(136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -5*r + 9*g + 79, -g + 1 = 0. Let s be (-3)\/13*r*128\/(-192). Let 0 + 2\/13*y**3 + s*y - 16\/13*y**2 = 0. Calculate y.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h - 55*h = 368*h - 7560 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 74399107 - 487399107. What is z rounded to the nearest 1000000?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542253169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021 < 4023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-7)*(-1 - -8 - 36) - (2 - -2). Suppose 1089\/7 + z*v**2 + 66\/7*v = 0. What is v?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86450119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15451 + -15450.99999872235. What is q rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120210, -239907, -359604?\nAnswer: -479301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688898995 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 27\/(-6))*-2. Let i be z*2\/6*-3. Is 1 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 + 6)*(-7)\/3. What is the tens digit of b + 1\/((-4)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1609\/4? (a) 2481 (b) -2 (c) 1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zzzzfffzfzzfzzzfzz?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*x + 157*x. Suppose 6*j - 474 + 414 = x. Suppose -3*m - m = -200. Calculate the greatest common divisor of m and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 499257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4 + (-6)\/12)*2. Let t be (51\/(-90) - o\/5)*-2. What is the third smallest value in t, -2, 0.4, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02854 * -4.\nAnswer: 0.11416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 73*g**2 - 37*g + 1. Let m be c(37). Let v(q) = 0*q + 0*q - 4 + q. Let y be v(6). Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 293*d**3 - 7350*d**2 + 2326324*d - 2318680.\nAnswer: -(d - 70)*(d - 1)*(d + 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 3 + (2 + 0 - 4)*(2 - 2 - 1))*(-2*f + 0 + 0)*(2*f - 41*f + 6*f) as h*f**2 + c + i*f and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192306301.\nAnswer: 11, 3803, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -816882?\nAnswer: 816878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -366 - -523. Calculate the remainder when j is divided by (0 - 4)*4*(24 + -26).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551221717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (96 - 107 + 377)*((-4 + 0 + 3)*(-3*w**3 + 6*w**3 - 4*w**3) - 6*w**3 + 6*w**3 + 2*w**3) in the form h + c*w**3 + j*w**2 + n*w and give c.\nAnswer: 1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 58 + 2. Suppose 4*z = 58 + l. Calculate the highest common factor of z and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4501 - -10?\nAnswer: 4511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 - k**3\/3 - 25*k**2\/2 - 44*k + 1. Is t(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 37*u = -16*x + 183, 93 = 2*u + x for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -510 - 4*z**3 + 4*z**3 + 512 - 4*z + 225*z**5 wrt z?\nAnswer: 4500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -73.\nAnswer: -47\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 10*r**3 + (-5*r - r + 4*r)*(r**2 + 5*r**2 - 4*r**2))*(7*r + 0*r - 3*r).\nAnswer: -56*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-8) + 18\/(-18)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10*j**2. Let c(m) = -m**2. What is i(c(t))?\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457400696?\nAnswer: 2, 5099, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-280)\/30)\/(8\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 12. Let c be k(-10). What is g in 26*g + 4*g**3 - 2 + 16*g**c - 6*g + 10 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6807822 rounded to the nearest one hundred thousand?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 644.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531681 is divided by 2209.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 175822?\nAnswer: 175816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2*c**3 - c + 0)*(62 - 139 + 11) to x + z*c**3 + m*c**2 + d*c and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583466 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -3*y + l, 2*y + 6*l - 208 = l. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121221110 (base 3) in base 15?\nAnswer: -104cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36830690)\/(-208) - 12\/96*3*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79 or -1142\/5?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*u - 14061 - 729 = 0 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5. Let m be 3 + o + -5 - 2. Suppose 3*d = -3*k, 2*k + 3*d = 2 - 0. Put m, k, 1 in descending order.\nAnswer: 1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 1. Let m(d) be the second derivative of d**3\/2 + d**2 - 2*d. Calculate 6*m(z) + 10*t(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**3 - 32*k**2 - 18*k - 20. Let i(b) = 2*b**3 - 11*b**2 - 6*b - 7. Let w(d) = 8*i(d) - 3*v(d). What is the units digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-36))\/((-4)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105139 is divided by 398.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 50 + 25 = -25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -269, -381, -493, -605, -717?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -581*r + 592*r - 77 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 17*h**3 - 6 - 59*h**3.\nAnswer: -42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*a - 11*a**3 + 15*a - 2*a**2 + 4*a**3 to the form f*a**3 + n*a + y*a**2 + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326854 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130192 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 - -430. Suppose 7*o + 230 - 553 = -10*o. What is the greatest common divisor of o and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 - 9*x - 2. Let v(y) = 5*y**3 - y**2 + 1. Let c be v(1). Let r be ((-100)\/(-15))\/c*3. What are the prime factors of t(r)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*u**2 - 25*u - 4041 wrt u?\nAnswer: -28*u - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 2156*o**2 + 251124*o + 6668964.\nAnswer: -4*(o - 641)*(o + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-61104)\/(-266))\/(-12))\/((-1)\/(42\/(-48)))\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3392.02 * -0.2.\nAnswer: -678.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6\/7)*i*i**(2\/7))**(-3) assuming i is positive.\nAnswer: i**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.15298 days to minutes.\nAnswer: 85180.2912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164092215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-4) - (-8)\/(-16). What is the greatest common factor of o and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 - -58)\/((-6)\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14073 + -8753. Suppose -14*b + 3710 = -y. What is the remainder when b is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - -3 - (6 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356 divided by 212064.\nAnswer: 89\/53016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:42 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21026 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 5)*(-3 + 5*y + 3)*(-4 + 0 + 1)*(-4 + 3 - 1).\nAnswer: 90*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, -0.5, -1\/3, 1\/4, 358.\nAnswer: -0.5, -1\/3, -0.084, 1\/4, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 15 + 99. Let t be (u\/(-6))\/(-7) + (-17)\/2. Let g = 32 - t. What is the greatest common factor of 200 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183, 279, 1017, 2025, 3297, 4827, 6609, 8637?\n\"Answer: -r**3 + 144*r**2 + 37*r - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341 + -343. Let q be 0*((-1)\/c)\/(-1). Sort -4, q, 5, -8 in descending order.\nAnswer: 5, q, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from ddgkrkqkdg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let s(f) = f**2 + 5*f + 3. Let j be s(-5). Let c = j - 3. Solve i*n - 3 = -c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.487\nAnswer: 0.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -36*21\/(-56)*-6. Let a be 4 + 135\/(-35) + t\/(-21). Solve 0 = -3*n + j - 12, -n - 2*j - a = -0*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-301)\/(-49) - 3\/7*21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -6*z + z + 128, -t = -z + 24. Let i = z - 13. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 24 = 3*u, -2*j = 3*u + 2*u + 5. Suppose -2*w + 192 = 4*c - 0*w, 3*c = -j*w + 130. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d + 37*d + 37*d - 327*d + 126*d + 29*d + 28*d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -15*v**3 + v - 1. Determine h(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 10 = 8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let b(d) be the third derivative of 2*d**2 - 7\/24*d**4 + 0*d**3 + 0 + 0*d. What is b(q(s))?\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -557953 or -557862?\nAnswer: -557862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/3 - (-38)\/(-10). Let b be 4\/(-10)*(-5)\/(-3). What is the nearest to 1 in z, b, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13539, 27080, 40631, 54198, 67787, 81404, 95055?\nAnswer: 108746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1083 - 496. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - 16) + (463 - 544)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6)*u)\/u**(-7))\/((u**(-8)*u)\/(u*u**(1\/10))) assuming u is positive.\nAnswer: u**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-177)\/9)\/((-132)\/(-198)) + 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (2128\/(-36))\/7. Let q = 12 + l. Let d be (-4)\/(-30)*(-45)\/(-10). What is the third biggest value in q, -2\/5, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q = 4*m - 20, -q = -3*m + 15. Suppose -f + 2*l = -l + m, -6 = -2*l. Suppose -h = z - f*z - 18002, h = z + 6002. Round z to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -489 in 0.4, 4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 16*u - 4653. Let v be (6\/(-2) - -5) + 1\/1. Suppose -41 = -z - v*r, r = -2*r - 6. What is the highest common factor of z and u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d - 2*d = -756 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030.327611 rounded to one decimal place?\nAnswer: 1030.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8318, -33380, -75142, -133604, -208766?\n\"Answer: -8350*q**2 - 12*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t + 2. Let u be j(1). Is (89\/4)\/(u\/308) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j - 5 + 4 + 40*j + 0. Let l be i(4). Suppose 4*v - l = v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/10)\/((-8)\/(-240)). Let g be (6*-1)\/(b\/16). Suppose -g*p - 3*p = -21119. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d - 36. Let w be x(-5). Suppose w*c + 4*j = 2*j + 18, -c = -j + 3. Suppose 3*r + 7*a = c*a + 570, 381 = 2*r + 3*a. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcqqqca. Give prob of sequence aq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 900.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnjj when four letters picked without replacement from nadnxdudjaxaduaajaa.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 346198.\nAnswer: 5192970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -317012?\nAnswer: -317012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*j + 1 - 2 - 721*j + 4.\nAnswer: -105*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -803, -6709, -22815, -54221, -106027, -183333?\n\"Answer: -850*d**3 + 44*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85330403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*(7 + 9 + -14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 + i + 1. Let j be w(0). Suppose -4*q = 3*k - 5, 3*q - 4 - j = -k. Suppose -299 = -106*b + 231. Solve -q*p = -b*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24489 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + j + 4361 - 4371 = 0, -6*j + 52 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20253\/(-86)*(-4 + -2 + 20\/15) is divided by 140?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6437 (base 14) in base 5?\nAnswer: 1023142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2 + 5*i + 1. Suppose q + 15 = -4*q. Let u be a(q). Suppose 0 = -8*v + 7*v + u. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -269479 and 1794.\nAnswer: -267685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -95. Let p = h + -28. Let v(x) = -x**3 + 11*x**2 + 14*x + 16. What are the prime factors of v(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761 + 0.668?\nAnswer: 5761.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -2\/3 (c) -714\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4405786 is divided by 16021?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let a = 6 - 4. Is a != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1389, -1373, -1353, -1329, -1301?\n\"Answer: 2*h**2 + 10*h - 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -1. Suppose 52 = d*k - 56. Let f be (-3)\/(3 + k\/(-4)). Which is bigger: f or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjrycygjcrcrctrrgcg. What is prob of sequence rc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - 13) + 70 + 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 95. Let s be o(-22). Let r = s + -21. Which is smaller: r or -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 147567517?\nAnswer: -147567524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 67*v + 8. Is n(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8055 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2890 and -53\/705738?\nAnswer: 3528690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512442, 1024839, 1537234, 2049627, 2562018?\nAnswer: 3074407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 45. Suppose -33 = -11*h - f*h. Find the third derivative of -21*u**2 - 36*u**3 + 64*u**h + 4*u**3 wrt u.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5*w**2 + 5*w - 2. Let u be m(-6). Let d = -13 - -16. Is 39\/4 - d\/u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1972 + 11749\/6. Find the common denominator of 2\/4*110\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796\/3 greater than -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-2))\/7)\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c**2 + 3*c**2. Let k(r) be the first derivative of -2*r**3\/3 - 566. Calculate v(k(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 333*o**2 + 10*o - 7. Let m(x) = 114*x**2 + 3*x - 2. What is -14*m(d) + 4*v(d)?\nAnswer: -264*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - 0) - (-12 + 10 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 11*r**2 + 4*r. List the prime factors of t(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 662344 and 24.\nAnswer: 1987032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43367, -46999, -50633, -54269?\nAnswer: -57907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*r + 12, 3*y + 12 = -y - 3*r. Find the common denominator of y - (91\/10 - 0) and 133\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i. Suppose 0 = 3*k - i - 6. Let 0*a**k - a**3 + 2*a**3 - a**2 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y*y**(-11))\/y)*y\/(y**12\/y) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - 64 - (2 + -1 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 21485?\nAnswer: 6445.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) 0.01 (c) 5\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 824594 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 689 and -6?\nAnswer: -4134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r + 0 + r**2 + 1\/24*r**4 + 0*r**3. Let k(d) be the first derivative of w(d). Give k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430515 is divided by 520?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8603 * 1\nAnswer: 8603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-6) + (117 - 1).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 1792*x + 23 - 1784*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + -151?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -81. Calculate the smallest common multiple of 14 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 a when three letters picked without replacement from {a: 2, b: 1, g: 1, x: 2, o: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let l(x) = x**2 - 26*x + 11. Let p(i) = 22*c(i) - 2*l(i). Let r(g) = -2*g. Calculate r(p(f)).\nAnswer: 4*f**2 - 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)*p)**(3\/4))**(-4\/3)*((p\/(p\/p**1))\/p**(2\/7))**(1\/6) assuming p is positive.\nAnswer: p**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**3 + 3737*u**2 - 21096*u - 9028. Calculate l(-753).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s + 235 = -86*s. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:09 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 799426 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6144416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by (17 - 3) + -4 + -1 + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*y - 7 - 17, -4*y + 2 = -2*v. Suppose -j + 0 = -y. Put -2, j, 4 in descending order.\nAnswer: 4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*h - 3*h. Let p(s) = -5*s**2 + 16*s - 11. Let l(f) = -f**2 + 3*f - 2. Determine h*l(g) + 2*p(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by -124.\nAnswer: -175\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-43)*c)\/(c**(2\/9)\/c)*c*c**(-8\/11)*c*c**(-1\/36)\/c assuming c is positive.\nAnswer: c**(-1759\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*a + 31 = 15, 5*t - 10 = 5*a. Suppose -4*n = t*h + 67, 2*h - 5*n - 1 = -8. Sort 4, h, 5.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 16*g = -5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-4)\/(-4) - ((-96)\/15048)\/((-4)\/(-6))\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1 - 11 + 10. Determine m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3367)\/(-49) - 4\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 + -44. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 25.19. Let z = 0.262 + l. Round z to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23476.7195 rounded to the nearest 100?\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449\/3 + 3176\/21. Suppose -2146 + 350 = 4*l. Let q = -447 - l. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -4221.008\nAnswer: -295.47056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - ((-40 - -95) + -40).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -52*r - 78. Let y(i) be the second derivative of -i**3\/6 - i**2\/2 + 2690*i - 2. Give g(j) - 78*y(j).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 91796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144713 divided by 14.\nAnswer: -144713\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -837 - -0.1.\nAnswer: -836.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h + 3*j - 20 = 0, 2*h - 5*j - 39 = 0. Let y(s) = s**3 - 6*s**2 - 4*s - 10. List the prime factors of y(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 1\/6340, 16 in decreasing order.\nAnswer: 16, 2\/17, 1\/6340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + -1245. List the prime factors of x*(72\/252 - (-11)\/(-14)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1345928 divided by 16216\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8.7. What is the nearest to z in 2, 0.3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = -54. Let k be (-7 - -1)*12\/h. Suppose i + 3*i + 3*x = 13, -2*i - 3*x + 5 = 0. Solve i = -0*d + k*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*k - 17*k + 2*k + 370*k**2 + 5*k as i*k**2 + w + f*k and give i.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76.4 and 0.04?\nAnswer: -3.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558545 is divided by 42948.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339122*t - 1080 = -339082*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 5, n: 1, o: 2, d: 1}. What is prob of sequence oo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from ooocq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - -311813?\nAnswer: 311847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.6 - -24. Let a = -2625 + 2624.6. What is the closest to g in a, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.7 + -7. Let n = -267.68759984 + 267.3876. Let d = j - n. What is d rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (11 + -3) - 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 152*z + 1377. Calculate x(-10).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 432*n - 11664.\nAnswer: -4*(n + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 4. Let b(d) = 2*d - 5. Let r = -40 - -43. Give r*s(n) - 2*b(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from dmcdgdimgd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107\/651 + -2\/93. Sort -1\/2, -9, v.\nAnswer: -9, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let j = 94 - 52. Suppose 0*y + h*y = j. Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/9*(-6)\/1. Let r = -596.6 - -549. Let l = 48 + r. What is the nearest to s in -2\/27, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464424529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*n + 10588 = 0, 5*l + 4*n - 20446 = -2836. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7500214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/(1920\/(-172800))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 15*w**2 - 15*w + 16. Let a be y(14). Suppose -b - 4*m = -85, a*m = -2*b + 5*m + 137. Do b and 72 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1019*f*s - 207*f*z + 5*s - 32671*z wrt f.\nAnswer: -1019*s - 207*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1099592 and 1649388.\nAnswer: 3298776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1079 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.04751.\nAnswer: -0.23755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 12. Let r be 12\/10*10\/3. Suppose 0 = -r*s + 2*c + 38, -h*s - c + 29 = -s. Solve 3*f - 18 = -w, 8 = 4*f - s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642 < 4623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 234260, 234617, 235224, 236081, 237188, 238545?\n\"Answer: 125*p**2 - 18*p + 234153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o. Let f(t) be the first derivative of 159*t**2\/2 + 1986. What is n(f(p))?\nAnswer: 2703*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 134. Let o = -146 + w. Let p = -80.9963 - o. What is p rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, q: 4, r: 1, j: 5}. What is prob of picking 1 y and 1 j?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16*-4 - 4\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -381, -456, -531, -606, -681?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*y = 1 - 2, -3*w + 3*y = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8261740 * -0.4.\nAnswer: -3304696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 364841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5195 + -103819\/20. Let d be 1\/5 - 776\/4730. Let i = d - -1557\/946. Calculate the common denominator of p and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/300 - 19*l**4\/60 + 8*l**3\/3 + 144*l**2 + 2*l. Factor a(u).\nAnswer: -(u - 2)*(u + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.846925? (a) -4 (b) -0.4 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -900 - -905. Let j(w) = u*w - 8*w - w + 7*w - 4*w. Let q(o) be the third derivative of -11*o**5\/60 - o**2. Calculate j(q(i)).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303*r**2 - 151*r**2 + 3*r**4 + 151*r**3 - 5*r**4 + 80 - 153*r**2 wrt r?\nAnswer: -48*r + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 10527.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 8. Let f be t(8). Suppose f = z + 1. What is the biggest value in 2, z, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2176 and 378048?\nAnswer: 12853632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/(10\/(-60)*28)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**4\/8 + o**3 + 3*o**2. Let f be 36\/(-30)*(5 + -10)*1. Determine k(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -322585, -322578, -322571, -322564?\n\"Answer: 7*q - 322592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -79 in descending order.\nAnswer: 0, -18, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r - 39*r - 140 + 181 + 4*r with respect to r.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278348 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5) + 1 + -3 + -5 + -5.\nAnswer: -12 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 269, 260, 247, 230, 209, 184?\n\"Answer: -2*m**2 - 3*m + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2. Suppose 0 = -5*n - 4*w + 3, 0 = 2*n + n + 5*w + 6. Let d(s) = 3*s - 4*s - n*s + 2*s. Calculate d(x(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcaypccsapapcapaj. Give prob of sequence cs.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from fffhfihfwnffffinfnf?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*t - t + 2 = 0, 0 = -y - t. Let b(v) = v**2 - 3*v + 5. Calculate the smallest common multiple of 8 and b(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -29. Let t = 19 + w. What is the units digit of 1\/(-4) + (-378)\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5315 - 1.5315. Which is the closest to 2? (a) 6 (b) -4 (c) -0.14 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-954)\/(-27) - 2\/(-3). Is (y - 0)*12 - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*u - 25 = 0, 2*t + 8*u - 5 = 9*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 29727936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7, g: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-56)\/(-56)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by 69\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11643691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2027 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 12:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-217)\/196 + 1)\/(2\/(-8)). What is the third biggest value in -0.3, 2\/7, c, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 - 2*k**2 - k**2 + 5*k**5 wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1548 and 393.\nAnswer: 202788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/99272 and 35\/148908.\nAnswer: 297816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201004 (base 7) in base 3?\nAnswer: -111200100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62.4, 3, 28\/5, 2\/7 in decreasing order.\nAnswer: 62.4, 28\/5, 3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13366, 12711, 12070, 11449, 10854, 10291, 9766, 9285?\nAnswer: 8854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24308797*x**3 + 458*x**2 + 92*x - 33 wrt x?\nAnswer: 145852782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295469 = 116*a - 155374 - 581905. List the prime factors of a.\nAnswer: 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 11. Let f(z) = -2*z + 5. Let h be ((-14)\/3)\/((-2)\/3). Let i(r) = h*f(r) + 4*d(r). Find the first derivative of i(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4629 - 4626. Which is the fifth smallest value? (a) -25\/4 (b) 5\/2 (c) -2\/7 (d) -0.02 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11329, 11330, 11331?\n\"Answer: l + 11328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(720) + 0)*-1 - (-5 + sqrt(720)*1 + -5))**2.\nAnswer: -528*sqrt(5) + 3001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -59167?\nAnswer: 59165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 143\/(-429)*-1*(-24)\/((-2)\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2091, -2095, -2109, -2139, -2191, -2271, -2385?\n\"Answer: -c**3 + c**2 - 2091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1943 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 + -14.71. Let y = 13 + p. Which is the nearest to 1? (a) 1\/4 (b) -2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182\/21*(-36)\/78\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6845.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -1) + (-2)\/(24\/(-36)). What is the nearest to -89 in -0.2, 0.1, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.4 (b) -0.1 (c) 3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.104 - -114.104. Let x = -2039 + 2143.3. Let t = x - g. What is t rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Which is the third biggest value? (a) k (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tht when three letters picked without replacement from atafahatadaftddhhdda.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 5, -0.26, 1\/9, -10\/11 in descending order.\nAnswer: 5, 1, 1\/9, -0.26, -10\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -946830 - -3?\nAnswer: -94682a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/2, 384, 1\/43 in decreasing order.\nAnswer: 384, 3\/2, 0.3, 1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 587 and 481927?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*w*x**4 - w*x**3 - 6*w*x - 19*x**2 wrt x.\nAnswer: 2496*w*x - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhfhfhwwhhyh. What is prob of sequence yf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18601 - 18601. Let l(b) be the second derivative of i*b**4 + 1\/30*b**6 - 1\/2*b**2 + 1\/3*b**3 - 1\/10*b**5 + 0 - 25*b. Determine z so that l(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126819 = -40*a - 14779. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28a873 (base 14) in base 4?\nAnswer: -11120233311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 4, i: 7, k: 1, b: 4, q: 1}. Give prob of sequence bkq.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22329352.\nAnswer: 2, 37, 75437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*t + 566, 0*t = -3*m + 2*t + 536. Suppose 0 = 5*i - m - 238. What is the units digit of i - 2 - (-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 23 - 9. Let j(b) = 15*b + 14. Let t be j(v). Let r = -39 + t. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200147287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 203*r + 1. Let c(z) = -48*z - 154. What is c(o(t))?\nAnswer: -9744*t - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(1\/73)\/((f*f**(-8)\/f)\/(f*f**11)))**(-3\/8) assuming f is positive.\nAnswer: f**(-8757\/1168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81660 and 33024665?\nAnswer: 396295980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 + 6 = 0, l = -w + 91. Suppose o = -2, -2*r - 2*o = 3*r - l. Suppose 19*k + 292 = 165*k. Solve 0 = 2*s + k*g - r, 4*s - 31 = -0*s - 3*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*sqrt(1008)*3)**2 + 0 + -6*(-2*sqrt(1008) + -4 + sqrt(1008))**2).\nAnswer: -834048 + 3456*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m - 141 = 0, -2*m = 2*z + z - 93. Let n = z + 31. What is the remainder when n is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*s = -14, 2*h = -3*s + 2 + 3. Factor 3*w**2 - 11*w - w - 4 + h*w**2.\nAnswer: (w - 2)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h = -33*h + 6915. Let o = h + 2848. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 645457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 105, 136, 147, 132, 85?\n\"Answer: -i**3 - i**2 + 55*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 - 10*f + 24. Let t be s(8). Suppose 20 = 12*q - t*q. Let y be (2\/6 - (-9)\/54)*0. Solve y = -0*u + q*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o + 0*o**2 + 9\/2*o**3 + 0. Let x(d) be the third derivative of -d**5\/30 + 29*d**2 - 17*d. Calculate x(f(j)).\nAnswer: -1458*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*l - 21*l + 1536. Calculate the highest common divisor of 1568 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a + 24*a - a)*(-2 + 2 - 2*a).\nAnswer: -74*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25480 by -56.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10464202 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - y - 1. Let a be r(-1). Let u be 3*1 + a + -7. Suppose 3*m - 6 = 5*i, -i + u*i - 2 = -m. Solve -3*q + 8 - 23 = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-14)*h\/h**(-2\/25))\/(h**(-10\/11)*h\/(h\/((h**(-3)\/h)\/h*h))*h))**(2\/49) assuming h is positive.\nAnswer: h**(-708\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d - 12*d + 13*d - 13*d in the form u + x*d and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - 3*k**2 - k + 10. Let d(t) = t**2 - 1. What is -5*d(l) - r(l)?\nAnswer: 3*l**3 - 2*l**2 + l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*l - 35, -2*l - 2*l = j - 1. Suppose 0 = 5*w + 2*r - 19, w = 4*r - 2*r - 1. Suppose -3*p = b - 11 - j, 0 = w*b - p - 60. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y + 5. What is x(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*q)*(-2*q + 0 + 0) + (-q + q - q)*(q + 0*q + 0*q) + (-q - 1 + 1)*(-3*q + 2*q - 5*q) - 3*q**2 - 14 + 14 as o*q + b*q**2 + i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by 7774?\nAnswer: 87\/7774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Let x = -896 - -793.5. Let h = 102.9 + x. What is the smallest value in s, -0.2, h, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (-6)\/(-2) + 57 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 33734*b + 1855386. Give d(-55).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 261 - 300 - ((56 - 37) + (-9 - -1))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 0, 0.2, 2\/4223?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {n: 10, c: 2, h: 1, l: 1, i: 3, r: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 456561875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-four fifths of a kilogram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.6 - 94.7. Let v be 1856\/308 - 4 - 2. Which is the third biggest value? (a) v (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 + 0 = 0. Suppose 241 + 9 = b*o. Suppose -f = -6*f + o. What is the highest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 284654ba?\nAnswer: 284654bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttit?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4493*u - 4710*u + 0 as s + v*u and give v.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.563497mm?\nAnswer: 0.000563497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16739 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1159030\/876680 - 3\/(-21). Let t = 2\/3131 - m. Calculate the common denominator of -39\/10 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - u - 2*u)*(5*u + 0 + 0)*(-2 - 3 + 3)*(2 + 4*u - 2) to z*u**3 + a + s*u**2 + q*u and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 6*y. Let n = -9 + 12. Let d(v) = -4*v + 3. Let l(a) = -3*a + 2. Let h(u) = n*l(u) - 2*d(u). What is -c(i) - 6*h(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24609 - -73826\/3. Put -2, c, -0.2, 872 in descending order.\nAnswer: 872, -0.2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3794*y + 2873. Let o(x) = 7588*x + 5710. Let z(q) = -3*o(q) + 5*s(q). Find the first derivative of z(n) wrt n.\nAnswer: -3794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0 + 6*l + 2 - 8*l**2 + 4. Let u(z) = -5*z**2 - 5*z**2 + 14 - 6*z**2 - 3 + 11*z. Let y(k) = -11*j(k) + 6*u(k). Let p(w) = -w**2. Calculate y(p(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Suppose -697*d + 701*d + 32 = 0, 4*r + d - 76 = 0. Calculate the remainder when r is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1338 by -10.\nAnswer: -669\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*sqrt(28) + sqrt(28)) + (5 + sqrt(343) - sqrt(7)) + 3.\nAnswer: -14*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -6*r + 159. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - z + 1. Let w be s(2). Suppose -f + 2*d + w = 5*d, -4*d + 16 = 0. Suppose a = -4*a + f. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482683882 to the power of 1\/2, to the nearest integer?\nAnswer: 21970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Let l = d + -8. Let k = l - -6. Which is the third smallest value? (a) k (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a**2 + 2. Determine j(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 24 - -55 - (19 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -259*(-14)\/392 - 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 1*sqrt(3).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((51\/68*-1)\/((-38)\/(-32)))\/((-51)\/(-34)).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 12. Let k(z) = -181*z + 50. What is -k(o) - 4*v(o)?\nAnswer: 177*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i**2 - 20*i + 4. Let a be b(-5). Suppose -5*r - g = -5418 - 590, r = a*g + 1189. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by -1852?\nAnswer: 215\/1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/2 + 477*g**4\/2 + 2499*g**3\/2 - 90549*g**2\/2 + 166260*g = 0. Calculate g.\nAnswer: -17, 0, 5, 8, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 4, b: 5}. Give prob of picking 3 m.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -127, -105, -63, 5, 105, 243, 425?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, u: 11}. Give prob of sequence uzuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431921861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -u + 2*g, -21*u = -19*u - 2*g + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose j - g*j = 2. Let v be 23 - (-3)\/j*1. Solve -x - 2*p + v = 4*x, -3*p + 4 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-1)))**(4\/21)\/(k**(2\/3)\/(k\/k**(-2\/11)*k*k)) assuming k is positive.\nAnswer: k**(83\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11389266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/34112955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 257040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.2 - -10.241. Let b = l - 0.241. Let t = 13 + -12. What is the nearest to t in -0.3, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18*k + 328. Let n be m(-18). Let x(o) be the second derivative of -17*o**3\/3 + 7*o**2\/2 + o. Let q be x(n). Round q to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 33, -2, 0 in ascending order.\nAnswer: -8, -2, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9586224.\nAnswer: 2, 3, 66571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*2 + -11. Let c(z) = z**2 + 8*z - 5. Let t be c(u). Let v = -4 + t. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((10 - -2) + -35 + 66 + -54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 4*n - 6*n)*(-5 + 15*n - n**3 - 7*n - 11*n) in the form a*n + f*n**4 + c*n**3 + v + g*n**2 and give a.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634*y + 622*y + 72 = 0. Calculate the highest common factor of y and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 43*x**2 + 65*x - 931. Give b(44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8.00003. Round k to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*r + 8*r + 9, 5*b - 27 = 3*r. Solve 12 = -3*j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 11 = 5*a + 11, 4*a - 22 = -g. Solve -32 = a*t - 36, -t = -5*i - 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -3.324.\nAnswer: 3.6564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0481 in -1, 1\/6, -2, 0.8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.502751ml to litres.\nAnswer: 0.009502751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 296 - 263. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1121*t**3 - 56*t**2 + 9*t + 10. Let z(v) = -748*v**3 - 40*v**2 + 6*v + 7. What is 5*n(y) - 7*z(y)?\nAnswer: -369*y**3 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -m + 4*k, -3*k + 102 = -5*m - 0*k. Let t = 24 + m. Suppose 5*n = -4*u - 4, 0*n - 3*n + 3*u = -t. Put n, -8, 2 in descending order.\nAnswer: 2, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1103 - 0.03.\nAnswer: 1102.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**3\/6 + 3*w**2\/2 - 3*w. Suppose -2*q = -2*n + 10, 0 = -5*n - q + 4*q + 15. Let i be p(n). Solve 10 = 2*c + i*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148510000 rounded to the nearest 1000000?\nAnswer: 149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 f when three letters picked without replacement from yywnyfuycuyu.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(-1*sqrt(2))*4*5)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.22, -2227, 237?\nAnswer: -2227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29483851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68049*b**3*g - 200*b**3 - 210*b + 17*g wrt g?\nAnswer: 68049*b**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, x: 10}. Give prob of picking 2 d and 2 x.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 23*z**2 - 20*z + 56. Calculate y(-11).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:31 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -9 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/17423 and 24\/917.\nAnswer: 17423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105839 is divided by 980.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 11*h + 196 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2521054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 332350 (base 6) in base 5?\nAnswer: 1342121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*(3 + sqrt(300) + 4))**2 + (1 + sqrt(300) + -2 - (-1*sqrt(300) + -3))**2 + -4).\nAnswer: -27136 - 9280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4000 (base 7) to base 13.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 861\/147 + (-1)\/(-7). Let h be y\/15 + ((-8)\/20 - -3). Solve 0 = r - 5*j, -h*r - 2*j = -0*r + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u + 131*u + 18*u)*(2*u + 1 + 9 + 1) as y*u**2 + p*u + j and give y.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 88, 186, 314, 466, 636?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.312, -3, -2 in decreasing order.\nAnswer: 0.312, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b - 4. Let a be l(2). Let m = 34 + a. Let d be ((-2)\/(-4))\/(2\/24). Solve -m = -d*y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534619 to the power of 1\/2, to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -2.9. Let x = d + 0.6. Put 0.2, 1, x in increasing order.\nAnswer: 0.2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1356 - -3198. Let r = -1279 + y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 - (-7)\/28. What is the closest to z in 2\/13, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 288920561061?\nAnswer: -288920561072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - r - 258 = -191, -4*r + 174 = 5*o. Suppose -4*f - 4*s + 42 = -78, 0 = 3*f + 5*s - 82. Calculate the highest common factor of o and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64944 by -6.\nAnswer: -10824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6600 = 26*h - 29*h. What is h rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62110 + -2?\nAnswer: 62106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63781144 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-55) - (-75)\/(-11). Let a be k\/((-14)\/8) + 1. Solve 15 + a = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 99 - 3*n**2 - 91.\nAnswer: -6*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 337080516 to the power of 1\/2, to the nearest integer?\nAnswer: 18360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = -4*w - 0, -4*c + 13 = w. Let u be 1 + w*(3 - 4). Suppose -5*i = -n + 21, 4*i + u - 6 = -3*n. Let j(a) = a**2 - 5*a - 6. Determine j(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (0 - -4) + 0 + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 l when three letters picked without replacement from kttnlkknntttzn.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(-14) + (-44)\/77?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/12)\/((-3)\/48). Is ((-21)\/x)\/(2\/24) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 - -265. Solve -d*c = -83*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -16*b**5\/15 + 26*b**4 - 507*b**3\/2 + 983*b**2. Factor r(i).\nAnswer: -(8*i - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597604459?\nAnswer: 337, 1773307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 + 26*u + 188. What is the hundreds digit of w(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4206*g**2 + 3272*g**2 - 2679*g**2 + 983*g**2 + 13113*g**2 in the form z + a*g + x*g**2 and give x.\nAnswer: 18895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - i - 3, -3*j + 2*i + 9 + 0 = 0. Let c be j\/12 + (-1218)\/8. Let b = -97 - c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*z - 5, -u + 694 = -5*z. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 64 - 20 = 4*a - 5*r, 156*r = 229*r - 64*r for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1261520 - -5155?\nAnswer: 1300005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -394.4996863033.\nAnswer: 394.3996863033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837200 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1084\/2*(-3 - -4). Suppose -5*v + d + 503 = 5*t, 3 = 3*v. Suppose -5*s = -2*b - 395, -50 + t = 2*s - b. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30162.8 millilitres to litres.\nAnswer: 30.1628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let y(j) be the third derivative of j**4\/3 + j**3\/6 - j**2. What is the units digit of y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/945)\/((-636)\/(-54) - 12)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2 + 9*a + 8. Let d(f) = 10*f**2 - 20*f - 14. Let v = 190 - 183. Let n(j) = v*l(j) + 4*d(j). Let m(q) = 3*q**2. What is n(m(u))?\nAnswer: -18*u**4 - 51*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -37\/133890 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -83*g + 269 + 366 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -199, -1542, -5185, -12280, -23979?\n\"Answer: -192*w**3 + 2*w**2 - 5*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, u: 1, q: 2, b: 2}. Give prob of sequence wqu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 14. Let o be g(10). Solve 0*u - 3*n = 4*u + o, -6 = 3*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7154*w + 7152*w + 3*w**2 + 7*w**2 + w**2 = 0. What is w?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h + h. Let f = 69 + -63. Suppose 7*c + f = 8*c. Calculate the lowest common multiple of h and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17607 times 8599\nAnswer: -151402593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4. Let b = 0 - -6. Let v be (b - 2) + -1*r. Solve q = v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 10 + (-9 - 10 - -7) + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 344 + 81. Let d = a - 293. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211918079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 2*(sqrt(121) + -2*sqrt(121)) - sqrt(121)) + sqrt(121)*-1*4)\/(-5*(sqrt(11) + sqrt(11) + (sqrt(99) + sqrt(99)*2)\/sqrt(9))).\nAnswer: 6*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 + 89. Let c be (-3 - -1) + (l - 6 - -2). Let s(w) = -17*w**c - 32*w + 43*w**2 + 32*w. Let f(m) = -m**2. Give s(f(y)).\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = r - 4*o + 131, 3*o + 12 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15838 + 15834. What is the third smallest value in g, 0.1, 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 h, and 1 o when four letters picked without replacement from {q: 7, b: 2, h: 4, i: 3, o: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783 + 75*u**2 - 502 - 281.\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2605919.\nAnswer: 41, 63559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -54 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.69799km to meters.\nAnswer: 28697.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a - 327*a**3 - 33*a + 4911*a**3.\nAnswer: 4584*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 4441500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 + -0.19. Let h = 3 + -2.98. Let x = -0.32 + h. What is the third biggest value in m, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998619565?\nAnswer: 5, 37, 10803349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 38*a + 347. Let b be o(-9). What is the nearest to -1 in b, -22, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*g - 120099 = 7*g, 0 = 3*d - 5*g - 72062. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-2)\/(-16)*(-6 + 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17214983 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*j**2 + 34 + 59\/2*j.\nAnswer: -(j + 1)*(9*j - 68)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -8 + 3*v - v**2 + 5 - 3*v. Let n(k) = -2*k. Give l(n(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 64 = 0. Suppose 2*k + 0 - 18 = 0. What is the remainder when a is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 1, o: 1, i: 1, k: 1}. Give prob of sequence jki.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05563983 rounded to five decimal places?\nAnswer: 0.05564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224157, -896651, -2017475, -3586629, -5604113, -8069927, -10984071?\nAnswer: -14346545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -39, -68, -105, -150, -203, -264?\n\"Answer: -4*j**2 - 9*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, 11 in ascending order.\nAnswer: -3, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: d7 (base 15) to base 11\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 5\/4 + (-6840)\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 3. Let s be c(-7). Suppose s*n - 42 = n. What are the prime factors of -1*n*(-17 - -12)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50565.\nAnswer: 3, 5, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4093 and -5?\nAnswer: 20465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkstn. What is prob of sequence tndk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011000000110010 - -101?\nAnswer: -1101011000000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6805700 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5*n + 5716678*d**5 - 2*d*n + 473*d + 2*n - 182 wrt d?\nAnswer: 20*d**3*n + 114333560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(t - 1 + 1)*(1687 - 179 + 1083).\nAnswer: 5182*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -117. Suppose m = 23*s - 48. Solve 2*c + 2 = -d, 2*d + s*c = 4*d - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 82424 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + 111. Suppose 188 = -c*k - 4*a, 0 = -k + a - 30 - 7. Let t = 70 + k. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g + 10. Let c(r) = -6*r + 12. Let f(y) = -y**3 + 20*y**2 + y - 25. Let q be f(20). Let t(s) = q*c(s) + 6*b(s). Let d(o) = 24*o. Calculate d(t(m)).\nAnswer: 144*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypc when three letters picked without replacement from {y: 1, p: 1, c: 2, x: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/44*(-137)\/(6165\/(-1350))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) - sqrt(100)*-2)\/sqrt(5))\/(sqrt(40)\/(sqrt(10) + sqrt(10)*-2)) + -5 + 0 + sqrt(80) + 4 + (sqrt(80) + -1)**2)*4.\nAnswer: -28*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23306.30883 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-4)\/108*-8*(-165)\/(-10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Let t = -1660 - -1656.1. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 2*j + 0*j)*(-2*j + 2 - 2 + (-4*j + 4*j + j)*(1 + 0 - 3)) + 3418 - 1016*j**2 - 3418 to the form a*j + o*j**2 + i and give o.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71c7d (base 16) to base 12\nAnswer: -1a5851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.96 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 267480 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 1690*d**5 + 10231*d**4\/6 - 995*d**3\/6 - 151*d**2 + 86*d\/3 - 4\/3 = 0. Calculate d.\nAnswer: -1, -2\/5, 1\/12, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.3*1700.\nAnswer: -17510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 748\nAnswer: -299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6997\/7 + -1000. What is the second biggest value in -3, 0.5, -3.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 76?\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let k be x(-5). Let p = 16 - k. Suppose -4*h + p = 4. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7392465 to the nearest integer?\nAnswer: 2719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 - v + v)*(v + v - 4*v).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 82.25264 years?\nAnswer: 8.225264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12825*r**3 + 225*r**2 - 225. Let i(p) = -229*p**3 + 4*p**2 - 4. Determine -4*h(g) + 225*i(g).\nAnswer: -225*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*y = 40, 3*t - y + 9 = -11. Put t, 1, 6 in decreasing order.\nAnswer: 6, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -760353187 + 760353185.300000052. Let g = 1.7 + f. What is g rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -28952393.1 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-20) - 32\/(-80)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -3*h. Suppose 2*c + 8 = h, 0 = -3*k - 6*c + 8*c + 110. What is the remainder when 59 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/(x\/(x*x*x\/(x\/((x**12*x)\/x)*x)*x))*x**(-32)*x assuming x is positive.\nAnswer: x**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 707\/3? (a) 1.2 (b) -1\/3 (c) 9 (d) -2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (198\/55)\/(4\/1440). Suppose -2*l = -k + 421, 5*k = 8*k + 5*l - x. Is 61 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 7*u - 8. Let q be k(-3). Suppose 0 = b - 0*b. Suppose -q*j + 2*v = 4*v - 24, b = j + 5*v + 3. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((16 - 8) + -35) - (29 - (-3 - 2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14\/9)*c*c*c*c**19)\/(c**(-1\/24)*c**(-2\/23)) assuming c is positive.\nAnswer: c**(34069\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 + -2113022?\nAnswer: -2113441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.534 times -136?\nAnswer: -208.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 243, 565, 1017, 1599, 2311?\n\"Answer: 65*f**2 - 3*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 307\/10. What is the common denominator of ((-31)\/(-11))\/(0 - 1) and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82567*v + 82338*v = 23358 for v.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2\/2 - 8*p + 4. Suppose -x - 4*l = x, -4*l = 16. Let c be w(x). Which is greater: -1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1019*j**3 - 3 + 3 - 989*j**3 - 2*j as v + p*j**3 + y*j**2 + l*j and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2 - 31*j)*(1 + 0 - 2) in the form v + g*j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 - 32*d - 11. Let q(u) = 4*u**2 + 16*u + 6. What is 5*q(f) + 3*z(f)?\nAnswer: -f**2 - 16*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/((350\/(-4))\/25)*3?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193363453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/90 - 67*u**4\/18 - 272*u**3\/9 - 820*u**2\/9 + 1478*u. Let o(z) = 0. Calculate z.\nAnswer: -2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 smaller than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -1 - 5\/6*m**3 + 1\/12*m**4 + 0*m + 7*m**2. Let o(u) = u - 2. Let w be o(-2). What is f(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181.5 - 181.3. What is the closest to 34.1 in 0.11, 1, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 1148*q**2 - 53694*q - 126. Give r(-45).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50720 and 5427040.\nAnswer: 5427040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -31.07. Let b = -0.23 - k. What is the closest to b in -5, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 303.6. Sort 2\/7, -1\/3, z, -4 in decreasing order.\nAnswer: 2\/7, -1\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s. Let k(x) = x - 4300. Let v be k(s). What is v rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*r - 818 - 484 - 186. Let y(g) = g**2 - 14*g - 1. Let u(k) = -k + 1. Let w(x) = -2*u(x) + y(x). Determine w(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54\/5 - -584\/55. Which is the third biggest value? (a) 0.3 (b) 0.06 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(-4)\/12*3. Suppose 4*i = 4, 5*g - 7 - a = i. Sort -4, g, -3.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-55)\/(-44))\/(1\/(-4)). Are -5 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-234)\/(-1560)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4633\/3 - 1500. Let m = j + -44. Determine o so that m - 2\/3*o + 1\/3*o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 15*h + 6 = 0. Does 13 divide (-195)\/h*(-12)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2 = -13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2633*g - 28 = -2647*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*b + 14, 3*v - b - 5192 = -5194 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6527, -6524, -6521, -6518?\nAnswer: -6515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2342420 (base 5) to base 6\nAnswer: -533153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a - a - 3 + a + 3 + (0 + 0 + 2)*(-2*a - a + a))*(-1 + 31*a**2 - 12*a**2 + 41*a**2)*(4 - 2 - 3) in the form m*a**2 + g*a**3 + s + v*a and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4691*i**3 - 2040*i**3 - 2652*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6883.415 to the nearest ten.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mknnyknnmxnnm. What is prob of picking 1 y, 2 n, and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence annn when four letters picked without replacement from {n: 9, a: 7}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2550 - 5?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47.95 + 42.95. What is the fourth biggest value in 3, 2\/3, -2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45169332 and 52923.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1398 + 3522. Let b = -715 + g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1.32. Let d = i + -5.82. Let l = 10 + d. Which is the closest to 0? (a) 0.3 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -540 in 0.7, -0.3, 4, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16+10.9714\nAnswer: 26.9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170126 and 233396?\nAnswer: 28240916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 30115533?\nAnswer: 60231066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2151, 4307, 6463?\n\"Answer: 2156*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 765 - 15. Let j = q + 51. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1666\/5*v**3 - 432\/5*v - 8 + 162\/5*v**5 - 1482\/5*v**2 - 414\/5*v**4 = 0.\nAnswer: -1, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15648 + 69552. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*sqrt(52))**2 - 6*(sqrt(832) - (sqrt(832) + 1)).\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + -1)\/(-1) - 1. Let m be ((-1)\/3)\/(t\/(-195)). Let w(a) = 13 + 2*a - a - m. Let j(z) = -14*z. What is j(w(l))?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/(1\/18*3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*176\/21280*(-16)\/(-44)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 471312 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 51292*f + 1513. Is b(5) 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 1952882?\nAnswer: 2, 523, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 3190*u - 1597*u - 1592*u for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = -44*k + 47*k - 2*a, 5*k + a - 1011 = 0. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**2 + 3*g + 4*g**2 - 5*g)*(0*g**2 + 3*g**2 - g**2).\nAnswer: -18*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 240*l**2 + 3908*l + 9672.\nAnswer: 4*(l + 3)*(l + 26)*(l + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 4, -4*y + 2*s + 2 = 0. Suppose -5*g - y = -6. Is ((-18)\/12 - -1)\/(g\/(-2174)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 217109, 217284, 217459, 217634, 217809?\n\"Answer: 175*k + 216934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -1596\/1765?\nAnswer: -1596\/1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 13*u**2 - 252*u - 34. What are the prime factors of n(-21)?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m. Suppose y + 2*y - 15 = 0. Let r(u) = -u**2 + u + 4*u - y*u. What is r(f(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:54 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*f - 4*h, -5*f + 12*h + 35 = 8*h. Solve 15 = -4*t - 5*y, 4*t - 7*y = -f*y - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -2 - (-158 + 173).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 223*k - 160. What is the thousands digit of o(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54158.8+24\nAnswer: -54134.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(5))*-4.\nAnswer: 4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 - 2*s**4 - 2*s**3 + 2*s**2 + 83 + 6*s + 4*s**4 in the form y*s**2 + x*s + t*s**3 + a + q*s**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 120526206?\nAnswer: -120526164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:35 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**4\/6 - 11*o**3\/2 - 191*o**2. Let h(u) = 2*u + 17. Give 6*a(f) + 13*h(f).\nAnswer: 2*f + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 9, n: 11}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -48172*p + 240868. What is w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 33. Let u(r) = 2*r + 8. Let k(y) = -o(y) - 3*u(y). Let q(x) = 5. Determine 3*k(b) - 5*q(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-2806560)\/(-1500) - (-4)\/(-100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6) - -1)*(-12)\/(-8). Suppose 3*h - 4*h + 9 = 0. Let s = 10561 - 10533. Solve 2*f + 0*f + h = -w, s = -v*w - 4*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247572 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283029.\nAnswer: 3, 94343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15735, -30727, -45719, -60711, -75703, -90695?\n\"Answer: -14992*t - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15290412 less than 15290413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -565314011.\nAnswer: -565314011.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4464)\/60)\/((-6)\/(-20)). Is -4 + (1 - t\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880425 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 3471210.\nAnswer: 17356050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.42986481?\nAnswer: 0.12986481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6149796.\nAnswer: 2, 3, 67, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 10*a + 117504 = 0. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 17 = 4*f, f + 2*l + 12 = -0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/210*-10)\/((-1)\/(-14)). Let p be ((1 + 15)\/s)\/(44 - 2). Which is the smallest value? (a) -3 (b) p (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k + 54*k = 2*q + 6, 2*k - 9 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -4241?\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (4 - (4 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -12, 5 in descending order.\nAnswer: 5, 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/16*22*18\/(-3564)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 83*z + 33*z. Solve -p - 10 = -3*j, p = -z*p + j + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*g + 6, j + j = -5*g - 17. Find the third derivative of -c**6 + 7*c**j + 63*c - c**2 - 34*c - 2*c**6 - 31*c wrt c.\nAnswer: -360*c**3 + 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4400194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10752*r**2 - 111*r - 56*r + 167*r.\nAnswer: -10752*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((1 - 4) + (-6 - -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 6468.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 35. Suppose -2*x + 3*x - 63 = 0. Suppose -3*g + 246 = x. Calculate the remainder when g is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, 0.2, 1\/4 in descending order.\nAnswer: 252, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0 + 0)*(0 + 0 - 2) + 559 - 559 + 275*m.\nAnswer: 269*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.753 - 3.123. Is 6 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-228))\/(-2*2\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5507907 is divided by 89?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - (1 + -6)) - (-49 - -47)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 2*u**2 - 1. Let q be g(-1). Suppose q = 2*v - 0*v - 36. Let h be (-2)\/(3 - 5)*v. What is the highest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 272 + -263. Suppose -3*a + 6*a - 51 = 0. What is the remainder when a is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118364 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-30)\/(-35))\/(2\/126)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010503665 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvu. What is prob of picking 1 v and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*p + 42046 = 14344 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50155 + 50154.74017. Let w = 0.26 + c. What is w rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-665 - 292 + 55)*(-4*j**2 + 0*j**2 + 3*j**2)*(0*j + j + j).\nAnswer: 1804*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*(99\/6)\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 1\/20*l**5 - 2*l**2 + 0 + 6*l + l**3 + 2\/3*l**4. Give n(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + 1046. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**3 + 12140*f**2 + 387660*f - 263840.\nAnswer: 5*(f + 34)*(f + 776)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 357 - -438. Which is smaller: 796 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17416418941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. Suppose -q*y = -0*y - 111. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 137 = -x + 153, 4*x = -3*m + 174. Suppose 2*w - 12 = -4*z, -8*w + 4*z = -3*w - m. What is the greatest common factor of 270 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728676?\nAnswer: 2, 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 876 - 872. Which is the second biggest value? (a) 0.1 (b) g (c) 2\/19 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47419984 and -4.\nAnswer: 189679936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 61*f**3\/3 - 32*f. Let w be j(1). Calculate the greatest common factor of 183 and w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*p + 1629*p - 102459 = 0 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 180d0 (base 14) to base 8\nAnswer: 166206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/10*221100\/(-12060)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -1, -0.5.\nAnswer: -1, -0.5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140024301 + -5?\nAnswer: -140024310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Suppose 409*o - 405*o = 5*d, 0 = 3*d - 4*o + 8. Suppose -4*a - 16 = 0, d*p - 596 = -5*a + j*a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -27, 1 in ascending order.\nAnswer: -27, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c**3 + 3872*c**2 + 3. Give b(242).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27516 - 19896. Does 127 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u - 1. Let v(f) = -f + 8. Let m be v(9). Let o be l(m). Suppose -2 - o = -3*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. Suppose 0 = y - c. Let t be (-2 - -2) + 0\/(-2). Put 3, t, y in ascending order.\nAnswer: t, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -27*t - 3. Let g = 3585 + -3605. Let v(y) = 190*y + 20. What is g*l(k) - 3*v(k)?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from pspsssppsss.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -235\/9 (c) 1\/174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2618*j**3*t**3 + 4*j**3 - 260*j**2*t**2 wrt t.\nAnswer: 15708*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -14. Suppose 4*z + z + i = 22, -2*z - 2*i + t = 0. Suppose 4*w = -z*r + 500, -3*w = -w - r - 256. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/5 + ((-497862)\/(-90) - -3) a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 41. Let k = 2 - 0. Let d = 1 + k. Solve d*p + p - 2*t = 26, 0 = 5*p - t - m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24117*r**6 - 6408*r**2 wrt r.\nAnswer: 2894040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r + 282536. Let s(z) = 17*z**2 - 2*z. What is q(s(m))?\nAnswer: -119*m**2 + 14*m + 282536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a + 6 = 0, 0 = s + a. Suppose 17*u = 270 + s. What is the remainder when 60 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235215371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -20. Suppose -w - u = 3*w. What are the prime factors of (-7)\/((w - -3) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 14*r - 640, 9*t - 169 = 8*t - 5*r + 57 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 9*o - 10*o + 16, 5*o = j + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 - (0 - 20\/(-5)). Let m be ((-12)\/g)\/(4\/(-24)). Solve -3*o = -4*r + 2, -3*r = -m*r - 5*o + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5697619 to the nearest integer?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -109. Let i = -479\/510 + 2\/51. Calculate the common denominator of 8\/12 + 221\/k and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 1 - 4)*(0*k - 6*k + 4*k) + 2*k - k + 0*k - 5*k + 5*k - k - 3 + 8 - k - 2*k)*(-k + 15*k + 5*k) as t + y*k**2 + s*k and give y.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.5 and -18305827 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*y + 3*c - 110539, -4*c - 20 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -300, -626, -966, -1326, -1712?\n\"Answer: -n**3 - n**2 - 316*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 + -209. Suppose y = t - 4*n, -5*n + 23 = t - 35. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*r + 26 = 14, 0 = -3*g + 2*r + 10. Suppose -2*l - g*h + 57274 = 0, -l - 2*h = -5*h - 28637. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 5. Let m = -0.41 + 0.11. Let y = -0.25 + -4.75. What is the third biggest value in y, w, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(180) - sqrt(7)) + (sqrt(343) + 4)**2.\nAnswer: 331*sqrt(7)\/6 + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1153 - 572 + 2283*y + 457*y - 581.\nAnswer: 2740*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 42. Let d(s) = 10 + f - s**3 + s - 11. Does 14 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aczl when four letters picked without replacement from fzaljcacljza?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 68. What is the nearest to v in -1\/4, 6, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3087 and 72?\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448199 at least 1448102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Let l = 0 + v. Suppose -4*k + 5*n + 3 = 2, -3*n = -k - l. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 681.6005 and -0.5.\nAnswer: -340.80025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5203359 and 19078983.\nAnswer: 57236949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g = -18. Let d(m) = m - 6. Let v be d(g). Solve -x - 2*p = v*x + 18, 4*x + 5*p + 33 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 - 4)*(r - 2*r + 2*r) - r - 3*r + 2*r + 6 + 19*r - 6 - 2*r + 2 - 2 + (1 - 1 - 1)*(-2*r - r + 5*r) - r - r - r to the form n + w*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.07, 4, 0.4, 67?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0928287 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.33 in -1, 0.2, -1\/3, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**4 - g**3 - 3*g**2 - g - 2. Let q(z) = -3*z**4 + 22*z**3 + 73*z**2 + 52*z - 4. Let h(l) = 2*a(l) - q(l). Determine v so that h(v) = 0.\nAnswer: -2, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(180)*1*-6*-5 - 1*(-5 + sqrt(180) + sqrt(180)*3))**2.\nAnswer: 1560*sqrt(5) + 121706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/15)\/4)\/((-88)\/(-1518)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -44*s + 90. Suppose 0 = z + s*a - 36, 0 = 5*z + 5*a - 24 - 126. What is the highest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174450 divided by -10?\nAnswer: 17445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 - 174.8. Let t = -0.6 - -0.9. Which is the closest to -1? (a) -4\/7 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 9 - 3. Let j be (172\/f)\/(5\/(-75)). Round j to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.2 - 8.20000185. What is v rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*1 - -20*25. Let o = -330 + l. Suppose 16967 = 7*a + o. What is a rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 9:48 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 + 338*q**2 - 14110*q - 14450 = 0 for q.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3454 = -28*u - 71*u + 10*u + 7938 for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66332565697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((585 - 572) + (-45 - 0)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 3*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 87. What is the third derivative of -118*g**3 + 3*g - g**2 - 4*g - 35*g**3 - 2*g + 40*g**w wrt g?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2101*v + 25872 = -2493*v for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 200 = -3*q, 0*y + 3*q = 2*y + 59. Let m(b) = 5*b + 184. Let f be m(y). Let u be (1\/6)\/((-8)\/(-9)). Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395.9385 - 0.0615. Which is smaller: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -63. Solve -45*u**2 - 157*u + 120*u**a - 5*u - 371*u**4 + 594*u**3 - 36*u**2 - 121*u**4 = 0 for u.\nAnswer: -2\/5, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - f + 2*f - 1 + 0*f. Let y(u) = 4*u + 3. Let o(r) = 3*i(r) + y(r). Let n(q) = -q. What is o(n(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*b - 20585 = 262*b. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 17. Suppose -30 = -3*h - 2*h. Solve 3*j - 15 = -h*w + 3*w, z*j = -w + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 5*l - b - 52, 0 = -5*l + 3*b + 173. Let r = l - 29. Solve -3*o - 1 - r = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 1\/11 (c) -2\/11 (d) 0 (e) -0.094 (f) -2 (g) 0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:28 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - l - 2, 2*u = -5*l - 2 - 15. Let c(w) = -3*w**3 + w**2 + 2*w + 2. Let x be c(u). What is the tens digit of -1 - 184\/(x\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 41. Let x(c) = -3 + 6 - 3 - c**g + 6*c + 4. Calculate x(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -96. Find the third derivative of -16*d**3 - 5*d**3 + 98*d**2 - 97*d**f wrt d.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/24 and -55\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 10) to base 7\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 6. Let i(c) = -16*c - 31. Suppose 9 = 2*h - 1. Suppose -3*u - 33 = -3*m, 2*m + 0*m - 55 = h*u. Give u*l(k) - 2*i(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2401, -4, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001100 (base 2) in base 6?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608\/28 + 6\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7502502.\nAnswer: 2, 3, 7, 73, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 15. What is y(12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/33)\/(((-20)\/(-30))\/(-1))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5591 + 3431 = -15*b. What is the greatest common factor of b and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1039015 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3740)\/(-165))\/(-17)*162\/(-12)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -1642, 1, -0.3?\nAnswer: -1642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3786.\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5*u**2 + 11*a**5*u - 2*a*u**2 - 2*a*u - 5*u wrt a.\nAnswer: -20*a**3*u**2 + 220*a**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 7. Let w be 309\/a - 6\/(-4). Suppose 0 = 3*t - 37 - w. Calculate the greatest common factor of 150 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483854 < 483866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10746?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27437514?\nAnswer: 2, 3, 13, 351763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -4*g, 4*y + 1 - 2 = g. Suppose -4*q = -8, z - 2*z + 5*q + 4 = y. Solve 2*r + 4 = 0, -2*h - 2*r - z = 2*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -6. Let j = k + -2. Let h = j + 7.4. Which is the nearest to 1? (a) h (b) 3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*k + 1805*k - 182623 = 33402 + 36811 for k.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6342 + 17189. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292 + 15. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/34 + 9\/((-1989)\/(-26)))*(-2)\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 400.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 22*o + 58. Let h be (8\/(-28))\/(1\/(-14)) - 27. Let d be j(h). Let w be (-448000015)\/d + 21\/49. Round w to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 3713.\nAnswer: 3725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 482, 710, 922, 1118, 1298, 1462?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0*l**2 - l**2 - 1 + 6*l**2 - l**3 - 3*l. Let v = -1809 + 1814. Calculate w(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 7*c - 7. Let v(w) = 6*w**2 + 7*w + 8. Let k(b) = 5*i(b) + 4*v(b). Let t be k(-6). Calculate the highest common divisor of 27 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(188 + 241*v - 188).\nAnswer: -241*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 172 = -s - 2*u, -207 = -3*s - 3*u. What is the greatest common divisor of 1000 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v + 20. Let k(i) = -i + 8. Let o(s) = 0*s + 5*s - 4*s - 7. Let t(f) = v*o(f) - 3*k(f). Determine t(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 5*u**4 - 3*u**4 + (-u**3 + 2*u**3 + 0*u**3)*(30 - 30 + 6*u).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 123 * 54\nAnswer: 6642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 23 + 87 = 0. Let w(v) = v - 2. Let m be w(2). Suppose -32 = -m*g - g. Calculate the remainder when g is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3504 is divided by 382?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1\/26 (b) -0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/91)\/(0 - 12\/14). What is the biggest value in -5, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-7 - (0 + -1 + 1)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/20*10253\/2. Let o = 3084 - i. Find the common denominator of o and 51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 696 = -27*w. Let v = -267 - -269. Solve 10 = w*g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -57 - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.017 in -0.2, 0.4, 2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pspp when four letters picked without replacement from pplplpppps?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(304) + (sqrt(304) + 1 + -2)**2.\nAnswer: -12*sqrt(19) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-1232)\/252*3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*d - 669 - 696 + 1641 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 1625 = -34*d - 9*v, 0 = -v + 7. Which is greater: 424 or d?\nAnswer: 424","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 288935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1212, -1216, -1222, -1230, -1240, -1252?\n\"Answer: -c**2 - c - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 279.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 102 (b) -0.1 (c) -4 (d) 31\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2922 by 2922.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - -1 - (-28 + 16). What is the greatest common divisor of l and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.156140406 - 5\nAnswer: -5.156140406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-6804)\/(-2156))*(-68)\/(-238).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, x: 10}. What is prob of sequence vxxx?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let h(w) be the first derivative of -6*w**2 - 22*w - 1247. Determine h(q(d)).\nAnswer: 24*d**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 = -3. Let z(j) = 34*j + 1. Let v be z(u). Let g be 3\/(-12) + v\/(-4). Solve -o - o = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-23)\/(-46) - 4)*11*(-8)\/14. Calculate the highest common divisor of d and 15070.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 2\/(-2))\/(7\/455). Suppose -l + 4*b = l + 186, 0 = 5*b - 25. Let n = t - l. Calculate the lowest common multiple of 10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**2 + 44 - 45*o**2 - 44.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:58 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x - 2*x - 2*x)*(0*x + 0*x - 2*x**2)*(2*x - 2*x + x).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64354\/322 - 2\/(-14) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.00072 + -22. Round c to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -26. Let q be 5 + c - -1*29. Suppose -16*l = -18*l + 56. Is q >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -38\/13 (b) 3 (c) -1\/3 (d) 7 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + -3 + (-5 - -16) + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -45.1. Let u = -4.1 + t. Which is the nearest to u? (a) 2\/5 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3546335 (base 8) in base 14?\nAnswer: -1b36a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r**2 + 9*r + 3. Let y be z(3). Suppose -y = -28*b + 13*b. Is 6 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10299 times -61.7?\nAnswer: -635448.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*s + 58, 5*h = 4*s - 0*s - 72. Let t = h + 1. Let c = 15 + t. Solve -15 = 5*u - c*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/8)*z)**(-3\/19) assuming z is positive.\nAnswer: z**(-9\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - 10 - (7 - 5)) - 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -195, -13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/1)\/(-1))\/((216\/72)\/(9\/(-39))).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t - f + 5 = 0, 3*f - 19 = -4*t. Solve 3*a - 3 = -5*l - 0, -4*l + 28 = -t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 + 375. Suppose -61*m = -68*m + n. Solve 5*p = -3*o - 34, -3*o + m*o - 2*p - 4 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39847, -39859, -39871, -39883, -39895, -39907?\n\"Answer: -12*k - 39835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211002 (base 3) in base 6?\nAnswer: 24132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9556 - 20630 + 9258)*(-5*b + 4*b + 3*b)*(b - 3*b + 3*b) to the form s*b**2 + x*b + c and give s.\nAnswer: -3632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7077.84 plus 801498?\nAnswer: 794420.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.999961 - 66. Round c to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/9 in 0.4, 0.21, 1\/2, 2?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:24 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1452\/729)*(-28 - -31). Is j greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 2*i. Let t(y) = -4*y**2 + 5*y. Let h(f) = -2*t(f) + 5*z(f). Let m(k) = 16*k. Calculate h(m(b)).\nAnswer: -512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 54*c**2 - 123*c + 884. List the prime factors of v(-47).\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlnljfwyjnyflff. Give prob of sequence nf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) -454 (c) 17.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 30 = 5*r, 4*u + 5 + 1 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttbtbttbxb. What is prob of picking 1 b and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:13 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -16. Suppose -4 = n - k*f - 26, 2 = -3*n - 2*f. Suppose -2*o - n*o - 132000 = 0. What is o rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 - 4*x**2 - 5*x**2. Let k(p) = -13*p**2 - 6*p**2 + 7*p**2 - 6*p**2. What is z(k(g))?\nAnswer: -972*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*d - 943 + 922 = 0, 3*a + 15*d - 87 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.3885 decades in centuries?\nAnswer: 35.73885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(o - 2*o + 2*o) - 35*o + 39*o + 45*o - 3*o - 7 + 7.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 - (2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 472 - 120 = 0. Let n be (-20)\/(-110) - (-126)\/s. Let v = 5 - 4. Which is the third smallest value? (a) v (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10547 - -10560. Which is greater: -447 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*m - 15, h + 2*m = 5. Suppose 2*x + h = d + 5*x, 3*d + x - 23 = 0. Suppose 2*g = 4*s + 6 + 18, 0 = -4*s - d. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-112)\/(-588)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1957 + -1925. What is the least common multiple of a and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/15 - -7 - -5. What is the greatest common divisor of 25751 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z**3 + 135*z**3 - 69*z**3 - 7*z**2.\nAnswer: -8*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -192*z - 164865 + 1993665. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 773747 + 223037 = -5*t, 4*k - 440571 = -5*t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 1 + 1)*(-5*w + 0*w + 4*w) - 97 + 44*w**2 + 97 to the form r*w**2 + n*w + d and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-59)\/(-177)*21\/(-1)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/183)\/(1\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.7 - -13. Let h = -2.3 + m. Let r = -5.526 + 0.526. What is the third smallest value in h, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -3*b - 2\/3*b**3 + b**2 - 1\/20*b**5 - 1\/2*b**4 + 0. Suppose 3*v = v - 10. Calculate h(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 24 = 8*k. What is the least common multiple of 3 + -1 + (3 - 1) and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/209, -0.111, -5, -7 in descending order.\nAnswer: -6\/209, -0.111, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 48. Let v = 32 - c. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/5, -3, -32, -5 in decreasing order.\nAnswer: 8\/5, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 8229 and 8412 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/30120 and -131\/105420.\nAnswer: 210840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 59*s**2 + s + 2. Let i(l) = l - 259. Determine i(n(k)).\nAnswer: 59*k**2 + k - 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87555 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*p - 75*p - 14 + 32*p)*(6 - 2*p**2 - 2 - 5) to the form k*p**3 + l*p + h*p**2 + q and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -2. Suppose 3*p = 30 + k. Calculate the least common multiple of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*3*(-4)\/12. Let l be 4\/4*(n + 0). Let x be 2\/l + (-36)\/(-81). Which is the third biggest value? (a) 0 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -671.61499 to the nearest integer.\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.96848 hours to days.\nAnswer: 5.08202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 13. Let q(f) = -2*f. What is the least common multiple of 6 and q(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6194554145 to the nearest integer?\nAnswer: 78705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*q**3 - 6 - 5 + 1.\nAnswer: -3*q**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*k + 3*t, 3*k - 43*t = -44*t + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*f + 98*f - 107*f as g*f + u and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -75.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10595 and 34122257?\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.215\nAnswer: -0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 22*j**4\/3 - 130*j**3\/3 - 128*j**2 + 88*j\/3 + 320\/3 = 0.\nAnswer: -2, -1, 10\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from nehgege.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4445207 divided by 153283.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2014*b - 4684. Let x be k(-6). What is the highest common factor of x and 555?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 7*q**2 + 117*q + 898. Calculate u(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, 2, -44, -0.02 in decreasing order.\nAnswer: 3, 2, -0.02, -0.3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) + -1)*-1)**2 + (sqrt(1088) - (sqrt(1088)*-2 + -4)**2) + -4.\nAnswer: -270*sqrt(17) - 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -p - 5*a, -p = 2*a - 10. Let z be 9*(-3 + 10 + -2). Let n be ((-4)\/(-6))\/(5\/z). Solve -p*x + n = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/33 - 5\/231. Are w and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j - 176 = 117*j - 61*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198660 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1322, 0.5, 4.43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.209 and 5.\nAnswer: 1.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -2*x**4\/3 - 54262*x - 3. Let r(t) be the second derivative of 0 - t - 1\/6*t**3 + 0*t**2. Give r(q(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367533 is divided by 367532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12241, 20973, 26199, 27925, 26157?\nAnswer: 20901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*o - 40, -4*h + 2*o = h - 132. Suppose 115 = 12*w - 2909. Calculate the highest common factor of h and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -926 * 207599.\nAnswer: -192236674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v = 8151 + 13611. Let o be 217\/v + (-4)\/18. Factor o*a**2 - 5\/3*a + 25\/6.\nAnswer: (a - 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.3054*3\nAnswer: -15.9162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z + 2*z. Suppose 3*g + 5 = 2. What are the prime factors of g + (-3)\/z + 44?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(14 + (-13 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 3*g**2 - 4*g**2 + (-2*g + 0*g + g)*((3 + 0 - 1)*(4*g - g - 4*g) + 0*g - 4*g + 2*g + 0 - 3*g + 0).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 (base 8) in base 2?\nAnswer: 1010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 3\/4, 205?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*v - 2*v - 76 + 72 + 34*v.\nAnswer: 163*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85872651.\nAnswer: 3, 28624217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**2 - v + 26. Let s(p) = -39*p**2 + 2*p - 47. Calculate 11*n(u) + 6*s(u).\nAnswer: -14*u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (170 + (-161670)\/952)\/((-10)\/36)\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 + 15 = 0. Let i(z) = -10*z + 41. Let c be i(3). Let k = n - c. Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*n**5 - 2*n - 72?\nAnswer: 4520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 8 + -8 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -454 * -2.9\nAnswer: 1316.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 22. Let l(m) = 2*m + 8. Calculate the least common multiple of 6 and l(v).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s + 18. What is the remainder when 0\/(s\/3) - -31 is divided by (-1 - 3)\/4 + (1 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1038, 857, 696, 567, 482, 453?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 24 = 0. Suppose -p - 27 = -5*g. What is the remainder when (0 - -1) + (-3 - -22) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 84735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12763 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 207. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*m**3 + 46*m**3 - 3 + 2*m + 40*m**3 + 2 - 3*m**2 as n + y*m**3 + z*m**2 + p*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 2*t**4 + 6*t**4 + (0*t**3 + 2*t**3 - 4*t**3)*(-5*t + t + 2*t) + 21*t**4 - 22*t**4 - 29*t**4.\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.085682 times -0.3\nAnswer: -0.0257046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -7 (b) 1 (c) -2\/11 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(42)\/sqrt(2) + (1*sqrt(21)*3 - sqrt(21)))\/(sqrt(33)\/(1*sqrt(11)) + -1*sqrt(108) + sqrt(108)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 7469*b\/4 + 7473.\nAnswer: -(b - 7473)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 39. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)\/((-356)\/(-36) - 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 1:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 741766544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/7 + 3825*c**2\/7 + 56606*c\/7 - 2072640\/7 = 0. Calculate c.\nAnswer: -3810, -32, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 11118\nAnswer: 1\/5559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b - 2196 = -147*b - 127*b. What is the third smallest value in b, -8, -1, -5, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38009 + -38009. Suppose -1 = c - 3. Solve -c*x + 4*d + 4 = k, 7*d = -x + 2*d - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1358, 2777, 4214, 5669?\n\"Answer: 9*p**2 + 1392*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 6) in base 16?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 604?\nAnswer: 19\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258734 is divided by 66.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -52*w**3 - 4*w**2 - 15*w - 23. Determine l(-2).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 23 = -3. Let a = p - -11. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000648032 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**4 - 4*l**3 - 1726*l**2 + 3*l - 2784. Let v(u) = -u**4 + 2*u**3 + 1727*u**2 - 2*u + 2783. Let j(s) = 2*q(s) + 3*v(s). Differentiate j(d) wrt d.\nAnswer: -4*d**3 - 6*d**2 + 3458*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -0*h - 3*h. Let m be ((-8)\/h)\/(2\/5). Let s = -1.175 + -2.825. What is the biggest value in s, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 15) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*g**2*w - 2*g**2 - 445*g - w**2 wrt w?\nAnswer: -35*g**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 1 - 1)*(228 - 1 - 43) + (-g - 6 + 6)*(4 + 3 - 5) as b + x*g and give x.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3\/4 + 52\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9843\/88 - 1233\/11. Let q = h + 4\/11. What is the third biggest value in 1\/3, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 37 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from fwffwodwfokwfkf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) -0.12 (c) 1 (d) -0.2 (e) -2\/11 (f) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309642280*l**3 + 257871546*l wrt l?\nAnswer: 1857853680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8664587 to 4 dps.\nAnswer: 0.8665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6370789, 6370788, 6370787, 6370786, 6370785?\nAnswer: 6370784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248 - 248 + 481*j + 31366*j to i + t*j and give t.\nAnswer: 31847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 692, 1, 6, -4, 14, -5 in decreasing order.\nAnswer: 692, 14, 6, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2465 - -2466. What is the closest to i in 0.5, -0.2, -2, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.04 - -1.17. Let s = m - -0.17. Put 4, s, -10 in increasing order.\nAnswer: -10, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -251*j**3 + 33*j**2 - 6*j - 8. Let f be s(-3). What is the greatest common factor of f and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-18)\/(-312)*1). Let h = 50 + -74. Let j = h + a. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/17 - 2360*m**3\/17 + 1044300*m**2\/17 - 205379000*m\/17 + 15146701250\/17.\nAnswer: 2*(m - 295)**4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-202)\/909 - (80\/(-18))\/2. Let r(i) = 5985 - 5985 - 2*i**s. Let k(h) = -135*h. Give r(k(n)).\nAnswer: -36450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1377) + sqrt(136)\/(4*sqrt(8) - sqrt(8)))**2 - -2*sqrt(833)*-3*2.\nAnswer: -140*sqrt(17)\/3 + 13364\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}